diff --git "a/data/dm_maths/full_data_1/1450_11255.jsonl" "b/data/dm_maths/full_data_1/1450_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1450_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -227*n - 221 - 969 = -57*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -1002?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101010101110010001110 + 11?\nAnswer: 100101101010101110010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -319 (base 11) to base 4\nAnswer: -11333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-30)*462\/(-35)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**10*f*f*f**(1\/40)*((f*f*f**33)\/f*f)\/(f\/(f\/((f*f**(-18\/11)*f*f)\/f))) assuming f is positive.\nAnswer: f**(12171\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 747228 (base 10) to base 13\nAnswer: 202161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2232 (base 4) to base 3\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 1306*u**2 - 47918*u + 687786.\nAnswer: -2*(u - 11)*(u + 51)*(u + 613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-3) + 5). Suppose 0 = 12*o - 8233 + 2365. Let g = o - 491. Sort g, 0.2, -1, b in descending order.\nAnswer: 0.2, b, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 166. Determine k(0).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 2*l + 0*l**2 - 1\/6*l**3 + 0. Let g(p) be the second derivative of p**3\/6 + p. Calculate k(g(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y**2. Let q(a) be the third derivative of -5*a**4\/24 - 59*a**2. Calculate n(q(i)).\nAnswer: -650*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*c = 15, -2*w - 5*c - 26 = -11. Let d be ((-2)\/w)\/(7\/(-350)). Let g = -16 + d. Solve 0 = -i - g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**2 - 3\/80*a**5 + 4*a + 7\/24*a**4 + 0 - 5\/6*a**3. Factor i(g).\nAnswer: -(g - 2)**2*(3*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*r + 4*s, -74 = -6*r + 4*r + 4*s. Suppose -48*v + 423 = -r*v. What is the remainder when 140 is divided by v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/5*(2\/(-1))\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*t = 697*t - 56 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxn when three letters picked without replacement from bgbbnognbngonnnhnnxx?\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 24*v. Let s be r(24). Suppose 4*u + 19 - 59 = s. Suppose 0*m + 5*f = 2*m - 26, -u = 2*m + 4*f. Solve o = -m*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - -123. Suppose 0 = -12*x - w + 1511. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**4 - 111738*q + 43476?\nAnswer: 4*q**3 - 111738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*l**3 - j*l**2 - 2*j*l + 326*j - 21015*l**3 - 2*l - 45 wrt l.\nAnswer: 6*j*l - 2*j - 126090*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.052 + -0.0091. What is w rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**30\/a**15)**(-13) assuming a is positive.\nAnswer: a**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/72)\/((-4)\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1878.5 + -1878. Let x = -54 - -53. Sort -2\/7, 1, a, x.\nAnswer: x, -2\/7, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 13*n + 1. Suppose -9*b = -11*b + 198. Suppose 0 = 66*u - 57*u - b. What is s(u)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:43 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -43, 1, 239, 17\/5, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**3 + 2*y**2 - y - 13. Let b(j) = 6*j**3 - j**2 + j + 7. Suppose 5*c - c - 2*f = 14, -2*c + 10 = 2*f. Let o(d) = c*a(d) + 7*b(d). Give o(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 93231648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 24 = -23*l + 27*l, 0 = -2*l - 2*g + 16. Sort 1\/2, -44, l in increasing order.\nAnswer: -44, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143754 and 7566?\nAnswer: 143754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 3, o: 6, r: 2, l: 2, z: 2}. What is prob of picking 1 z and 1 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2. Let u(z) = -1600*z**2. Determine 8*s(p) - u(p).\nAnswer: 1608*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568131 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22828 or 22830?\nAnswer: 22828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 108.6. Which is the smallest value? (a) 1.6 (b) o (c) -1 (d) 0.5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8951004414 and 4?\nAnswer: 8951004410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*r**2 - 3*r - 13 - 1 - 85*r**2 + 12.\nAnswer: -548*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16104 and 880.\nAnswer: 161040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 2*g - 4. Let s(y) = -5*y**2 + 3*y + 5. Let b = 346 - 486. Let n be b\/44 + 2\/11. Calculate n*z(l) - 2*s(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -39*p**2 + 23*p + 28. Determine s(-4).\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 38*b**2 + 40*b.\nAnswer: -2*b*(b - 20)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m. Suppose m = 4*h - 5*y, 2*h = -0*y + 4*y. Which is the nearest to -0.1? (a) -5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14 + 16)\/(20\/301970)?\nAnswer: 30197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -18\/5 (c) -0.243 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 451*c - 115*c**2 - 451*c - 12 + 6*c**2 + 12 + (-c + 3*c - 4*c)*(-4 + 4 - c) in the form r + k*c + z*c**2 and give z.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249*m - 80 = -3*o - 2253*m, o = -45*m + 900 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*25.40475\nAnswer: -2.540475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)\/(55\/(-33)). Suppose -5277*n + 5272*n - 20 = 0. What is the smallest value in -1\/5, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**8\/576 + 14*y**6\/45 + y**5\/60 + y**4\/3 + 3*y**2 - 5. Let c(i) be the third derivative of u(i). Differentiate c(v) wrt v.\nAnswer: -70*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26710*h**3*y**3 + 44*h**2*y**3 - 8*h**2*y**2 + 3*h*y**3 wrt h?\nAnswer: -160260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Let x = -11 + 11. Let c = r - x. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(8 - 13) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35971 - -36011. What is the greatest common factor of 5620 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/((-8)\/2) - 7. What is the third smallest value in i, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29717*w**2 + 14869*w**2 + 0 + 0 + 14844*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000203409 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9618 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16*y**2 - 29*y + 27. Let i(v) = -11*v**2 - 20*v + 18. Give 7*i(s) - 5*z(s).\nAnswer: 3*s**2 + 5*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -3*m - 60. Suppose -5*o + m = -o. Suppose 0 = -o*z + 187 + 88. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -r + 204, 6*r - 3*o = 4*r + 434. Let u = r + -212. What is the lowest common multiple of 5 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-39)\/(-52) + (-1)\/(-4). Suppose -3*x + 2*u + 4 = o, 10 = -2*x + 2*u + 12. Solve 4 = 2*r + x*d, d = -5*r - d + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 9:43 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 6, 4, -90?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.2, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(sqrt(1100) - (sqrt(1100) + 0))**2 - (sqrt(1100) + (-1 + sqrt(1100))**2 + 2)).\nAnswer: -2206 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from budcbubciudcdbibir. What is prob of picking 1 d, 2 u, and 1 c?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 21*d**2 - 22*d + 3. Let v be h(22). Suppose 0 = -j + t + 1112, 0 = -v*t - t + 12. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1154185, -1154196, -1154221, -1154266, -1154337?\n\"Answer: -u**3 - u**2 - u - 1154182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -391a4 (base 11) to base 12\nAnswer: -285a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k - 3 = 4*z - 49*k, 2*k = 4*z + 6. Put z, 4, 5, -195, 2 in descending order.\nAnswer: 5, 4, 2, z, -195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 16*h - 27*h - 29*h as u*h + i + r*h**2 and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 + 5*o - 19. Calculate v(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 + i**3 - i**3)*(789 - 191 + 771 + 289 + 51).\nAnswer: 3418*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/8 of a century?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-2)\/(-2))\/(175\/105)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15)*-8*45\/(-864)*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 552626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 15 = -z - 0*r, -5*r = 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14445 = 29*y - 2*y. What are the prime factors of y?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)*w)\/((w*w*w**(-5)*w*w)\/w))**(-32) assuming w is positive.\nAnswer: w**(-224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 2. Let w be k(4). Solve 0 = v, 0 = w*x - 3*x + 2*v - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-12 + 21 + -18) - -50\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/5 + 1256*b**2\/5 - 789976*b\/5 - 316992 = 0. What is b?\nAnswer: -1016, -2, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 27*i**5\/10 + 11*i**4 + 41*i**2 - 2. Find the second derivative of c(f) wrt f.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 556 + -514.5. Let j = x + -42. Sort j, -3, 2\/15, 0.5 in descending order.\nAnswer: 0.5, 2\/15, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 101533.2 decades?\nAnswer: 1015.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2*s + s)*(-3*s - 178*s + 36*s)*(-1 + 3 - 3) to w + z*s + c*s**2 and give c.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -293 and -293 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18298, -18241, -18140, -17995, -17806, -17573?\n\"Answer: 22*x**2 - 9*x - 18311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4 + 903*g**3 - 7401*g**2 + 4677*g + 12978 = 0. What is g?\nAnswer: -309, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -120\/77 in 3, -6, -3, -0.3, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 6. Give b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -97, -99, -121, -169, -249, -367, -529?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-15))\/((-1)\/5). Solve -p*q + 2 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -120. Let r be (-3)\/2 + t\/12. Factor -r*g**2 - 2\/3*g - 2*g**3 + 2\/3.\nAnswer: -2*(g + 1)**2*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-10)\/25*10\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83190.137 rounded to the nearest one thousand?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*w - 186 = -w, -3*w = -6. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(252))*-4 + -5 + 5)**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keewqkkedrdekd. Give prob of sequence dwqr.\nAnswer: 1\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33131 (base 4) to base 13.\nAnswer: -5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 12 - (-576 + 483) - (-7 + 16)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - l = 4, -2*w + 5*l = 9*l + 16. Sort 5, -4, -5, w in decreasing order.\nAnswer: 5, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -2*c**2 - 12*c - 1\/12*c**4 + 0 - 4\/3*c**3. Let w = -12 + 6. Give y(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)*f*f)**18\/(f**0)**(2\/5)*((f**3\/f)\/f**(-5))\/(f**1*f*f)**(-6\/7) assuming f is positive.\nAnswer: f**(1847\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 2*x - 3466 = -30*u, u - 8*x = 904. Calculate the smallest common multiple of u and 164.\nAnswer: 35424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/150 + 2\/25. What is the nearest to 0.2 in -9, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbssbbbbb. Give prob of sequence bbbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1702, 3420, 5138?\n\"Answer: 1718*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*d - 11, 5*g = 3*g + 5*d + 31. Suppose 6*p - g*p = -12. Suppose -y - 2 = y. What is the biggest value in y, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 81*r**2 + 123*r - 713. Calculate the lowest common multiple of 20 and d(-79).\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 997 - 598. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - (-19 - -73 - 43) - 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/43 or -0.02684?\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3526 - 3530. Let i = 0.3 + -0.1. What is the nearest to p in i, -1\/7, 3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 15*k**2 + 14*k + 5. Calculate g(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**6\/360 - q**5\/12 - 25*q**4\/24 - 8*q**3\/3 - 3. Let i(t) be the third derivative of u(t). Determine h so that i(h) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 - 96.34. Let b = 91 + z. Sort b, -0.4, 3 in increasing order.\nAnswer: b, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.41 and 0.07.\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10452155 - -233?\nAnswer: 10452432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5613 - 44*b**2 + 31*b**2 + 5559 as s*b**2 + v*b + f and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -8)\/(88\/(-28) - 320\/(-280)). Suppose 3*q = -2*t + 10, -t + 19 = 5*q - 0*t. Sort 25, k, q in increasing order.\nAnswer: k, q, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 603*d + 2362. Give l(-4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -39*q + 127\/2*q**2 - 93. Differentiate o(l) wrt l.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70 + -7173?\nAnswer: -7103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42091650 rounded to the nearest 10000?\nAnswer: -42090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 281427 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0*t + 2 + 7*t + 5*t + 0*t. Let i be u(-3). Let a = -21 - i. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from uhhhucuhuhcchuuhuu?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-21))\/(-4) - (3 + -1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aje when three letters picked without replacement from {j: 2, e: 1, n: 2, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*59034347.\nAnswer: -17710304.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37455, 135140, 297949, 525882, 818939, 1177120?\n\"Answer: 32562*s**2 - s + 4894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-8)\/(-2) - ((23 - 33) + -20) and 187.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -6 (c) -658 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 11*v**2 - 2*v - 11. Let p be n(11). Let c = p + 37. Suppose c*q = -q + 65. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 3 + 4 + 0*g. Let i(p) = -3*p**2 - 4*p**2 + 5*p + 1 + 4 + p**3. Let f be i(6). Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 25*n = 15*n. Solve 0 = 4*j - 4*k - 12, -2*j + 6*k - 7*k - 3 = n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30 and 15582518637345.\nAnswer: 15582518637315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 + 10 + 6)*(150*h + 3999 - 3999)*(3*h**2 - 4*h**2 + 0*h**2).\nAnswer: -4050*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 609029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 17. Let l(n) = 3*n - 52. Let i(b) = -3*l(b) - 8*r(b). List the prime factors of i(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**3 + 8*m + 17 - 3*m + 200*m**2 - 223*m**2. What is the tens digit of i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:33 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 45. Let b be k(9). Let z = b - -359\/5. Let v = 5 + -7. What is the closest to 2\/3 in z, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 12. Let i(l) = -l**3 + 4*l**2 - 7*l + 65. Let g = -164 - -169. Calculate the lowest common multiple of n and i(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c**3 + 13*c**3 - 21*c**3)*(5 - 3 + 3 - 2*c).\nAnswer: 58*c**4 - 145*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*v + 31*v + 34 - 24*v wrt v.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 0, -5*t + 12 = -0*t - 4*b. Let j(z) = -3*z - 7. Let q be j(-3). Suppose c = q*h + t, 3 = -3*c + 15. Solve h = -x + 5*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 29*f**2 + 98*f + 91. Determine v(25).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27378.753 rounded to the nearest 10?\nAnswer: -27380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**3\/3 - 7*v**2\/2 - 8*v + 13. Let x be j(-5). Factor 72*u + 2*u**3 + 3*u**2 - 25*u**2 + 0*u**2 - x*u**2.\nAnswer: 2*u*(u - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g. Suppose -21*h - 71*h - 33 = 59. Give b(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 343840 and 504?\nAnswer: 3094560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1105 - -1609. Suppose 0*c + x = 3*c. What is the greatest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 - (6 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -228 and 0.18.\nAnswer: -227.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90160169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**6\/40 - p**4\/8 + p**3\/3 - 21*p**2\/2 + 10*p + 3. Let w(a) be the second derivative of q(a). Let x(g) = -3*g. Give x(w(k)).\nAnswer: -27*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - 9*m - 3. Let y(q) = -3*q**2 + 8*q + 3. Let f(l) = 2*b(l) + 3*y(l). Suppose 4*i - 16 = -0*i. What is the units digit of f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5845 minus 67010689?\nAnswer: -67010688.4155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13477173313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 37*u**2 + 22*u + 1680. What is s(35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 263 + -2 + 5 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 29*s + 143. Let a = -14450 - -14445. Determine i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75649, -75626, -75601, -75574, -75545, -75514, -75481?\n\"Answer: x**2 + 20*x - 75670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -13 + 1. Let a = i + -7. Let s = 30 - a. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f - 122*f + 80*f = -228 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -23. Suppose 0 = r - 5*b + 73, -4*r - 3*b - 213 - i = 0. Is 36 a factor of (-14028)\/r - (45\/(-39) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:42 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -123 and 90911.\nAnswer: -11182053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 2*d. Let o be (21\/9 + d)*3. Which is the biggest value? (a) 1\/9 (b) -1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-478 - 413 + 259)*(g - 1 + 1) - 5*g + 4*g + 3*g + (2*g + 2 - 2)*(-5 + 1 + 2).\nAnswer: -634*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:49 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j*j**17)\/j*j*j*j))\/j**(-2\/25)*(j**(-6)\/j)**(-33))**11 assuming j is positive.\nAnswer: j**(58047\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2674411 = 357*o + 2655490 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/6 + 19*t. Let m(y) = -19*y. Determine m(h(j)).\nAnswer: -38*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (3 - 0\/1). Let z be (33\/(-6))\/(2\/(-4)). Suppose z = 5*y - 4*l, y + 17 = -0*y - 4*l. Sort -4, y, r in descending order.\nAnswer: r, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 11:26 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {c: 1, t: 2, k: 1, x: 1, u: 1, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60675, -121350, -182025, -242700, -303375?\nAnswer: -364050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 f when four letters picked without replacement from fiizfzziizzzizi?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z - 246. Let u be l(31). Find the second derivative of -34*w - 36*w + 4*w**3 + w**u + 2*w wrt w.\nAnswer: 24*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1001*r + 1005*r - 78 = 0, -6 = -3*r. Suppose 9*n = 10*n - 21. Let w be n\/(-9)*(-49 + 1). Calculate the highest common factor of k and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1.3 (b) -7 (c) 72 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10171.\nAnswer: 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4122, -4307, -4478, -4635, -4778, -4907?\nAnswer: -5022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -12. Solve -d = -x*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 45282528 and 45282529 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 2*h + 2. Let r be n(-2). Let l(z) = -z**2 + 7*z - 2. Determine l(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332964 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -727, -3484, -8079, -14512, -22783, -32892?\nAnswer: -44839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 3, c: 8, d: 1, z: 1, g: 2}. What is prob of sequence ee?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3)*1*8. Let h = m - -76. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -141\/17 (c) -3206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 50*m**2 + 10*m + 7. Let b be a(-4). Solve -25 = 772*n - b*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 9*s - 3. Let z be (-2)\/(-7) - 156\/(-42). Suppose v - 4*v - 29 = -z*r, -v = r - 9. What is the units digit of l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 90909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83072 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 505935*10.2\nAnswer: 5160537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60529 + 60528.934557. What is z rounded to three dps?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 11*w + 2. Let k be u(11). Suppose -k*n - n = -33. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2366 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-61770) - 24\/1740.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -97, 2\/9, 10357?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 0 + o**3 - 1\/7*o**4 - 15\/7*o**2 + 9\/7*o = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19582 is divided by 6515.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 487475 divided by 17?\nAnswer: 28675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(28\/9)\/(m**(-1\/2)*m)**(-24)*(m\/m**2)**(5\/8)*m**9\/m*m*m*m**(4\/9)*m assuming m is positive.\nAnswer: m**(1195\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7 - 8 + 4*s + 15. Calculate y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*i - 56 + 56)*(5*i - 4*i - 2*i) - i + i - i**2 + (3*i**2 - 4*i**2 + 3*i**2)*(-1 + 4 - 1) in the form q*i + v*i**2 + o and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -17*f**6\/3 - 7*f**4\/3 - 49*f - 181. Let l(p) be the first derivative of i(p). Find the third derivative of l(c) wrt c.\nAnswer: -4080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 490. Let j be m(0). Let z = j + -21. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(126\/32) + 2\/9. Determine c, given that 43*c**f + 3*c - 38*c**2 + 2*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 2, b: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -1. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 2. Let g be z(6). Let s = g + 9. Is s*(-3)\/3*-53 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 11. Give m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 29 - (0 - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 720, 2758, 6812, 13554, 23656, 37790?\nAnswer: 56628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 914113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/1381 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -7971\nAnswer: 2\/2657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 47*n = 536 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 3*v + 2*v to the form l + y*v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100738 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 62*y**3 - 11*y - 6. Let m = 27161 + -27157. Let i(u) = 21*u**3 - 4*u - 2. Calculate m*t(n) - 11*i(n).\nAnswer: 17*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3.97. Let s = 0.83 + m. Let p = -0.7 + s. Which is the third smallest value? (a) p (b) 1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 14725800*l + 29451588.\nAnswer: 3*(l - 4908598)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1350*k + 1256*k + 3928*k + 17248 - 139936 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35280 and 7245.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2\/4 + 0. Let k = -0.942 - 0.058. What is the third biggest value in 2\/19, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.5090654 to 2 dps.\nAnswer: 104.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27958, 55930, 83902, 111874?\nAnswer: 139846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -3, -1\/4 in decreasing order.\nAnswer: 15, 3, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 9*g**2 - 2*g + 3. Let r be t(7). Calculate the remainder when 193 is divided by r\/6 - 0\/(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) -3 (c) -177988 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -3.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-5) - -1 - (2 + 3). Find o such that f*o - 2\/3*o**4 + 2\/3*o**2 + 0 + 2\/3*o**5 - 2\/3*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 4*m - 2*w + 34, 4*w = 1820*m - 1823*m - 68 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g + 282729 = 277353 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.956657m to micrometers.\nAnswer: 5956657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318224?\nAnswer: 2, 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6090 and 134?\nAnswer: 408030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 19*x - 7. Let b be n(0). Is b greater than -62\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -1\/2*n**2 + 0*n + 9. Let w(d) = -7*d. Determine m(w(x)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 598.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + 55. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212448910*i**2*u**2 - 6*i**2*u - 24*i**2 + 4*i*u + 236*i - 2*u - 5 wrt u?\nAnswer: -424897820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0, -1, -2.1, 0.3, 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (0 - 2) + (-3 - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980)*-2 - sqrt(20))\/sqrt(4) - ((-2*(sqrt(80) + sqrt(5)))**2 - (-1*sqrt(55))\/sqrt(11))) + -3.\nAnswer: -503 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-102)\/(-119)*1)\/((-2)\/(-14)))\/(58\/(-58)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -548891 (base 12) in base 4?\nAnswer: -11013223231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/59 - 39\/236. Let s = -0.4 - 0. Sort s, 3\/8, k in descending order.\nAnswer: 3\/8, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*i + 12 = 0, -7423*i + 7426*i = o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = 0, s = -f - 3*s + 12. Let m(c) = -c**3 - 7*c**2 + 5*c - 26. Give m(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6161 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: Suppose 3*f = -2*f - 120. Let x = -22 - f. Let d(p) = 3*p**2 - p + 1. Calculate the remainder when d(x) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 + 51*m + 9. Calculate the lowest common multiple of 25 and u(17).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -141 - (-477 - -576)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*h - 1 + 2*h**4 + 4 - h**3 + 0 to the form u*h + c*h**2 + t + b*h**3 + x*h**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73fa (base 16) to base 4.\nAnswer: 13033322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 42*c**2 - 6*c - 8. Let k be z(9). Suppose 5*q + 1355 = 5*m + 4730, 2*m - k = -5*q. Round q to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -178 - a?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46270 - -46269.96. Suppose 3*t + 6*w = 2*w + 1, 4*w + 8 = 0. Suppose -t*b = b - 16. What is the third smallest value in 1, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.1, 2\/7, 0.059, 1\/199, 0.4, -4?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lollh. What is prob of sequence lh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 2. Let q be w(-2). Suppose -q*h + 68 = 4. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 2810780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 4, 2462, 7, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/77 and 4 + 1 - 642\/(-36).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z + 1. Let v(m) = -2*m - 6. Let g(p) = 2*p + 5. Let r(l) = 6*g(l) + 5*v(l). Determine r(x(n)).\nAnswer: 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1632 and 4313648?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -1 + 6 - 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.55 - 33.45. Let w = -34.5 - f. Suppose 2*t + 5 = -z + 2, 0 = -4*z - 3*t - 2. Which is the third biggest value? (a) -4 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*n - 4, -118*l = -111*l + n + 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5720 = 14076*r - 14065*r. Calculate the greatest common factor of r and 7670.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.848 - -0.152. Let p(h) = h**3 - 14*h**2 - 2*h + 30. Let m be p(14). What is the second smallest value in r, -6\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/3)\/(b*b*b\/(b\/(b*b\/b**6))*b)*(b\/((b*b*b\/b**(5\/3))\/b))\/b*b**(6\/11)*((b\/(b*b**(-2\/7)*b))\/(b\/(b*b*b*b**(-7))))**(-36) assuming b is positive.\nAnswer: b**(16036\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.1 + 43. Let x = 77 - 81. Which is the closest to 0.1? (a) f (b) 12 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f + 165 = 5*i, -132 = -4*i + 2*f. Let o = -38 + i. Is o\/10 + 2238\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 3.21. Let z = 3.174 + g. Let a = z + -0.101. Round a to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135*a**2 - 1338*a + 1338*a)*(-9 + 9 + 2*a) to r*a**2 + i + d*a**3 + h*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {d: 6, m: 4, z: 1, l: 3, f: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3746146801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**3 - 3. Let q(y) = 23*y**3 - 2*y**2 + 2*y**2 + 1 - 22*y**3. Give -l(j) - 5*q(j).\nAnswer: 3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1084*y**3 - 936*y**3 + 104645 - 2169*y**3 - 104645.\nAnswer: -4189*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914911?\nAnswer: 43, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 49. Calculate the greatest common factor of h and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-14 + 60)*(-5)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**2 + 100*m**2 + 177*m - 177*m.\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -370961 <= -370962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.82 + 0.18. Let x = -3 + p. Let q = 0.1 - 0.1. Which is the second biggest value? (a) x (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14629031152687 and -3.\nAnswer: 14629031152684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 4*i = -4*a + 76, 0 = -5*a + 5. Find the second derivative of -i*f + 11*f**2 - 11*f**2 - 9*f - 3*f**4 wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 8 - 17 + 6 = -9, 2*q - 64 = 11*f + 4*f for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388 or -389?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.22 - -0.5. Round l to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(75\/(-165))*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 18, 25, 34, 45, 58, 73?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -18. Let f be (-6)\/(1*4\/n). Let s(t) = -t + 6. Calculate the remainder when 42 is divided by s(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -103, -224, -393, -610, -875, -1188?\n\"Answer: -24*t**2 - t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*w = -r - 3, -w = 3*r + 12. Let m be -2 + -753 + r + -1. Let l = -488 - m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*r + 14, 2*j - 5*r = j + 7. Solve 4*h - 1 = 3*q - 0*q, -2*h = q + j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 40 = -2*t - 49, -6*t + r = 57 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-13)\/((-182)\/(-21)))\/(3\/(-4)). Let r be 4\/6 - 158\/(-6). Solve 0 = 5*i + r - x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmmjlmlsl. Give prob of picking 1 l and 2 m.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 8. Let w(i) = 3*i + 20 - 5 + i. Suppose 0 = b - 5*r + 18, -2*b - 53 - 22 = 3*r. Let n be 2\/(1 - (-27)\/b). Give n*q(a) + 6*w(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1870 and 20892830?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 519086 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 + 2. Let i be d(-2). Let b = 7225 + -7224.8. What is the closest to 0 in b, 1\/3, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005144 to the power of 1\/2, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)\/m)**(-37)*m**0\/m**(4\/5) assuming m is positive.\nAnswer: m**(547\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l - 5724 - 4591 + 588 = -1492 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1429, -2855, -4279, -5701?\n\"Answer: n**2 - 1429*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/(n*(n*n**(-2)*n)\/n))\/n))**(1\/70)*n**(-1\/5)*n*n*n**4*n)**(-37) assuming n is positive.\nAnswer: n**(-1258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 18*b**2. Let w(p) be the third derivative of -p**5\/60 - 4*p**2 + 3. Determine w(l(d)).\nAnswer: -324*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 12*k**2 - 73*k + 85. Determine u(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*q = 427*q + 231. Let f be (-29 + 28)*(5 - 1). Put q, f, -3 in descending order.\nAnswer: q, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 0, -7 in decreasing order.\nAnswer: 5, 0, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 0 + 0 + (z**2 + z**2 - z**2)*(3*z - 5*z + z) + (0*z - 14*z + 5*z)*(-3*z + 3*z - 4*z**2) - z**2 - z**3 + z**2.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 44285?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 22\/2591335 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*l + 2\/9*l**2 - 4\/9 + 2\/9*l**4 - 2\/3*l**3 = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -14*t + 24*t. Calculate the greatest common factor of t and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + d + 3. Let i(s) = -s**3 + 4*s**2 + s + 4. Let h(k) = -3*i(k) + 4*z(k). Factor h(v).\nAnswer: -v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1675\/(-525))\/((-1)\/((-6)\/16)) and 53\/20?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:36 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 603985 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + 5 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*b + 29, -229*b - 4*v + 3 = -232*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13*d*d\/d**20)\/(d*d**(-13)*d*d)**(1\/5) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9819699277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4625 and 9455?\nAnswer: 8745875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Let w(y) = -3*y + 7. Let g(q) = -1. Let c(z) = 3*g(z) + w(z). What is -c(i) + 4*n(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29753941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/((-30)\/(-50))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.05562.\nAnswer: -0.05562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p + 5. Let a be f(-5). List the prime factors of 56 - (a + -1) - 1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57690 and 163954980?\nAnswer: 163954980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27907\/8 + 3484. Let u = -25 - -29. Calculate the common denominator of ((-4)\/u)\/(732\/(-236) - -3) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z + 1. Let p(w) = -27*w**3 + 54*w + 54. Calculate -54*a(s) + p(s).\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**3 - 2*m**2 - m - 2. Let c be s(2). Let j = 41 - 29. Let d = 98 + j. What is the highest common divisor of d and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14863842 and 8694?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32.2 or 0?\nAnswer: 32.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2\/(-2 - 2). Suppose -8*y - 5 = -3*y. Is x less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oho. Give prob of picking 1 h and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:50 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/5))**(-2\/41)\/(d*(d\/(d\/d**(1\/12))*d)\/d*d**1*d))**(4\/11))**(1\/37) assuming d is positive.\nAnswer: d**(-7537\/250305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/(-15))\/((-5)\/125). Suppose v = -3*v - y. Let i = -26 - v. Calculate the highest common divisor of i and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*i**3 + 264*d*i**2*n*r**2 + 3*d*n + 17*i**3*n*r + i**3*r**2 - 3*i*r wrt r?\nAnswer: 528*d*i**2*n + 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 1, q: 1, o: 2, r: 2}. What is prob of picking 2 r and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023466 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + l = -784, -5*r - 2*l + 1001 = -2933. Suppose 10*d = 12*d - r. Suppose x + 2*x = d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266633 divided by 6119?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*i - 4*i + 4, 4*c - 4*i = -4. Let t be c*-7*2*1. Let q = -205 + 331. What is the highest common factor of t and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i + 31. List the prime factors of m(19).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -20.4. Which is the closest to 1? (a) x (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19314*k = 19345*k - 279 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/8 + o**4\/3 - o**2. Find the second derivative of u(l) wrt l.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 3674\nAnswer: -1102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 36. Suppose s = -2*m - 4*h + 4, -3*m - 18 = -2*h + 16. Sort 3, 8, m in decreasing order.\nAnswer: 8, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and 7.296.\nAnswer: 7.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 - 2118*x**2 + 30284*x + 257520 = 0. What is x?\nAnswer: -1073, -6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2624283715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5372368 and 3?\nAnswer: -16117104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - (-746)\/6. Suppose -2*b = 5*t - 257, 5*b + 5*t - 207 - 413 = 0. Let n = z - b. Solve -n = 3*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 3 - 7*f + 2*f. Let n(k) = -k - 1. Let c(u) = 2*b(u) - 6*n(u). Suppose 4*j - 3*h + 18 = j, -15 = -3*h. Give c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 3:05 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1639 + 872 - 924*c**2 + 458*c**2 - 244*c + 1824 + 467*c**2 wrt c.\nAnswer: 2*c - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 9*k - 1. Let a be m(-9). Let z = -0.4 - 0. Let x be (16\/7 + -2)\/3. Sort z, a, x in decreasing order.\nAnswer: x, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 4*q**2 + 102*q + 85. What is d(8)?\nAnswer: 1669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p**3 - 6*p**2 + 6*p - 6. Let t(z) = -z**3 + z**2 - z + 1. Calculate -2*r(n) - 12*t(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(-350)\/(-1200) - (7 + 1*-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 3*v. Determine n(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 2*p**2 + 2*p - 1. Let f be b(-3). Let t(m) = -9*m**2 + m**2 - f*m**3 + 3*m**3 + 8*m + 1. What are the prime factors of t(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (356 + 1721 - 898 + 2858)*(2*r**2 - 2*r**2 + r**3).\nAnswer: 4037*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.327 - 0.127. What is the nearest to v in -10, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 167 = 153. Let m be 5 + (-1)\/((-95)\/(-25) - 4). What is the highest common divisor of j and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/26 + (-9 - -5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764 is divided by 875?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(-1\/10)\/((q**15\/q)\/(q**(3\/7)*q)) assuming q is positive.\nAnswer: q**(-1327\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078) - sqrt(1078)*-2) + (sqrt(110) - sqrt(110)*-3)\/sqrt(5))\/(-6*(-1*sqrt(242)*-4 + sqrt(242))).\nAnswer: -5*sqrt(11)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12*1))\/((-3)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 12*w + 1. Let v(z) = -20630009*z + 9. Let f be v(w). What is f rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 1, r: 1}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2. Let d(m) = 805*m + 40. Determine h(d(u)).\nAnswer: 3240125*u**2 + 322000*u + 8000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 43 + 458 + -470?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d + 30*d - 24*d)*(-5*d**3 + 6*d**3 - 2 + 4).\nAnswer: -25*d**4 - 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/9181802 and -1\/10?\nAnswer: 45909010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 23*d - 47. Let f(w) = 3*w**2 + 25*w + 46. Let b(p) = 3*f(p) + 4*r(p). Let z be 6\/(-4)*44\/(-3). Does 6 divide b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21156290521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1363, 2741, 4121, 5503?\nAnswer: 6887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292923431 to the power of 1\/2, to the nearest integer?\nAnswer: 17115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0*n**2 + 1\/360*n**6 - 3\/40*n**5 + 0 + 1\/3*n**3 + 1\/3*n**4 + 14*n. Let g(t) be the second derivative of c(t). Give g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 7*p**2 - 8*p - 9. Let s be k(-6). Suppose s*v + 5 = 4*v. Suppose -v*x + 95 = 5. Solve t - 6 = 4*t, 2*f - 4*t = x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o. Let t(n) be the third derivative of n**4\/24 + 3*n**2. Determine u(t(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5361000 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + p + 403 - 2113 = 0, -6 = -p. What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62128 divided by 4\nAnswer: -15532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15575, 31975, 48373, 64769?\n\"Answer: -m**2 + 16403*m - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86419904 to the nearest integer?\nAnswer: 9296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 140 = 5*d, d + 2*d - 87 = 4*c. Solve 0*w + 4*w = -2*g - 26, 5*w = -g - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*p - 128645 = -2093*p - 729*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3454254 and 27250226.\nAnswer: 245252034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -875 - 12*p**2 + 483*p**3 + 9*p**2 + 3*p**2 + 2169*p**3 wrt p?\nAnswer: 7956*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:36 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -6*r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 9*u**2 + 2*u - 70. Let q be k(-10). Is -189 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20485246 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-440\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 + 9*u + 5. Let m(o) = -27*o**2 - 48*o - 21. Let p(q) = 2*m(q) + 11*y(q). Give p(7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450\/(-10125)*((-2)\/12)\/(2\/9)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n + 3. Let m(i) = 10*i - 4. What is -5*m(v) - 6*z(v)?\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7450931?\nAnswer: 7450931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12 - 0)*-21*24\/(-10710).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49546 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7838 divide 1462061330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Let y(c) = -3 + v - 8*c**2 + 2 - 5. Suppose 5*t + 4*g = -3, -31*t = -32*t - 5*g - 9. Calculate y(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -21*r + 208. Let l be j(10). Which is the third smallest value? (a) -5.1 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87650 = -65*j + 70*j. Let u = j - -30130. Round u to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.063031 - -0.0648. What is c rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 66*u + 1. Let h(b) = b**2 + b. Determine -2*h(q) - 2*p(q).\nAnswer: 2*q**2 - 134*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*1*(-4)\/(2 - 38). Factor -10\/3*p**2 - 2\/3*p**4 + 22\/9*p**3 - b + 2*p.\nAnswer: -2*(p - 1)**3*(3*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/11 (b) -5 (c) 1 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.119332, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302955, -605910, -908865, -1211820?\nAnswer: -1514775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2503208807 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1660*w**2 + 2*w**3 - 1660*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 times 271150\nAnswer: -8405.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 1. Let s be m(-2). Suppose g - 4*g - s*l = -9, 3*g + 2*l - 10 = 0. Let o be (-2)\/(-4) + (-27)\/(-6). Put o, g, -1 in decreasing order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 105*s + 2568. Let y be i(-66). Let p(f) = -f**3 - 2*f**2 + 21*f + 1. Give p(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75))*-4 - sqrt(75) - sqrt(75) - sqrt(108)*-2*4.\nAnswer: 4 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 - k. Let o be x(-4). Let i(y) = -y + 5. Let l be i(o). Let r = 10 - 5. Which is the closest to l? (a) 0 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 19, 17, 15, 13?\n\"Answer: -2*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19329886.\nAnswer: 2, 547, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a2829 (base 14) to base 3.\nAnswer: -1202012110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/9 - 4*z**3\/3 + 2*z**2 = 0. Calculate z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x + y = 85*x - 42*x + 2*y + 2, 291 = -49*x + 2*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -395 - -391. Let n be (-7*2\/c - 1)*2. Solve -3*d = -n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f + 3. Let m(h) = 7*h - 2. Let s(q) = 6*m(q) + 5*r(q). What is the remainder when 26 is divided by s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9433 + -9433.4. What is the biggest value in m, 6\/701, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from juuluuusuuuuuj.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 890833 or 890837?\nAnswer: 890833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(245) + 4.\nAnswer: -7*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 2\/13 (b) -116 (c) 2\/45 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-50))\/((-1074)\/13425).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1731192, -3462494, -5193796, -6925098?\n\"Answer: -1731302*x + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.008, -39, 2\/7?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3 + 10*u - 23*u + 10*u + u**2. List the prime factors of r(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/120 - r**5\/60 - r**4\/6 + 3*r**3\/2 + 110*r**2. Let o be l(0). Solve 5*n - o = -g, -7*g + 5*g = 2*n - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2686 - -1060?\nAnswer: 3746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1260035037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208*k**2*v**3 - 2*k**2*v - k + 31*v**2 wrt v.\nAnswer: 1248*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*8\/(-2) + (34 - 49). Sort -1\/7, b, 10, -0.01.\nAnswer: b, -1\/7, -0.01, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 21. Suppose 2*q - 3*m - 2 + 6 = 0, 0 = 3*q + 4*m - 28. Suppose h = t + q. What is the remainder when 10 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 - 1852564*k - 428999171762 = 0.\nAnswer: -463141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212996*i**3*o - 2*i*o + 5*i - o - 537 wrt i.\nAnswer: -1277976*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:10 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 179 = -286. Let s = d + -123. Solve -3*a - s = 5*p - p, 5*a + 35 = -3*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u*u**(-1)*(u**(-2\/3))**(-48))**(-6\/7))**50 assuming u is positive.\nAnswer: u**(-8700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 413477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 518 + -73. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8334, -10, 2 in increasing order.\nAnswer: -8334, -10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*b**3 + 439*b**3 - 910*b**3.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llplllplllsslll. Give prob of picking 1 p and 1 l.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23863566 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 71 - r - 86)*(38*r**3 - r**3 - 14*r**3) as c*r**4 + h + g*r**2 + p*r + z*r**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-10) + 3\/9*0. Solve 4*l + o = 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 3*u. Suppose -2*i + 0*g - 2*g + 2 = 0, 4*i + 5*g = u. What is the second derivative of i*a**4 - 19*a + 26*a - 13*a wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-36) + (-8)\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29125 - 3?\nAnswer: -29128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48208919, 48208920, 48208921, 48208922?\nAnswer: 48208923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -73. Suppose z = -2*l + 109 - 105. Solve -20 = 2*g + l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 45429195.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v)*(-1178 - 6056 + 1675 - 3547).\nAnswer: 9106*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9) - 9\/(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 1223 = -249*k + 88 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 6*q**2 + 9*q - 4. Let i be z(7). Suppose -5*a + i = -15. Solve -o + a*o = -16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11222978 + 0.124807?\nAnswer: 11222978.124807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4+-77840\nAnswer: -77844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**4\/8 + 3*v**2. Let j(c) be the second derivative of 1\/6*c**3 + 0*c**2 + 0 + c. What is h(j(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0174836 + -0.007?\nAnswer: 0.0104836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/3 + 262*t**2\/3 + 820762*t\/3 - 273674 = 0. What is t?\nAnswer: -579, 1, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:45 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.5 (b) -4 (c) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42622 and 0.3.\nAnswer: -0.127866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035065769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 10. Let b be 9\/6 + 2\/w. Put b, 2, 2\/7 in decreasing order.\nAnswer: 2, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2 + 7*f*o - 7*f + 7*o - 30 wrt f.\nAnswer: -4*f + 7*o - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 311.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 - 5*z. Let g(x) be the first derivative of 3*x**4\/4 + 2*x**2 - 9. Let w(a) = 2*a - 33. Let d be w(19). Give d*g(m) + 4*o(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(-2 + 2*sqrt(325) + 3 + sqrt(325)))**2.\nAnswer: 2400*sqrt(13) + 234080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*q = 130*q - 35. Suppose -r = -2*z + 171, -q*z = -4*r + 5*r - 445. What is the least common multiple of 88 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 704 = t + 3*t, 3*t - 488 = -5*b. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 838097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 34. Determine j(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 46*g**2 + g + 39. What is p(-23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3235030?\nAnswer: 2, 5, 101, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 8*j + 1 + 4 = 0. Let c = -3 + 0. Put j, c, 8 in descending order.\nAnswer: 8, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59388679 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -121101120002 (base 3) in base 13?\nAnswer: -b3b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 5 - (-9)\/(0 - -3). Let p(c) = c**2 - c. Let g(z) = 20*z**2 - 7*z. Let t(i) = 2*g(i) - 14*p(i). List the prime factors of t(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8*k - 5*c - 3119 = -3099, 14*k = -3*c + 73 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 3 = 17*b + j, -5*b = 2*j + 30. What is the closest to 2\/5 in 5\/3, 13, b, -4.6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90601 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 9*x + 25. Solve 2*c - 4 = 0, -2*c = 6*h - x*h - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -1312002231?\nAnswer: -1312002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(2 + 2 - 1)*(-39*q**3 + 393*q**2 - 393*q**2)*(-4 + 3 - 7)*(-1 + 0 - 1).\nAnswer: 1872*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 2. Let l(q) = 6*q - 398. Determine 10*d(h) + l(h).\nAnswer: -4*h - 418","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 < 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p - 8 + 15*p**3 - 16*p**3 + 3*p**2 + 7 to the form b*p**3 + w*p + x*p**2 + z and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 19*t**2 + 20*t + 32. Let k be w(-20). Let f be (-66)\/44*2*k\/(-18). What is y in 1\/3*y**2 - 8\/3*y + f = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2804 - 0.1196. Let f = -247.1 + 232. Let a = -15 - f. What is the fourth smallest value in -5, 14, a, d?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36276 - 26?\nAnswer: -36324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 4:24 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 0*j**2 - 3*j**2 + (-j**2 - 2*j**2 + j**2)*(4 + 0 - 2) + 1 - 1 + 2*j**2 - 2 + 2 + 2*j**2 to q + i*j + v*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**2 - 3*g**2 + 4*g**3 - 52 + 33*g - 35*g wrt g.\nAnswer: 24*g - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 121*m + 59*m = 16952 for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**3\/6 + 10*q + 13. Let m(z) be the first derivative of r(z). Let h(i) = -11*i. Give m(h(b)).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -123?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -66*l - 1657. Determine s(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3 + (0 - 12 - 22)*(2 - 1 + 1))*(-x + 2*x - 6*x).\nAnswer: 330*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o**5 - 3249*o**4 - 9662*o**3 - 6437*o**2 + 456*o + 452 = 0. Calculate o.\nAnswer: -113, -2, -1, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/7, -234, 4, 0, -1\/43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 22964*h - 91848. What is p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnvsnnyyynyvyvnnnn. What is prob of sequence vv?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 10. Let p(w) = w**3 + 9*w**2 + 20*w + 14. Calculate the least common multiple of 86 and p(n).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 52.\nAnswer: -2, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*a**2\/8 + 1227*a\/8 - 945\/4.\nAnswer: -(a - 63)*(19*a - 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 111*i**3 - 3*i**2 + 5*i + 1. What is the thousands digit of k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let h(o) = 44*o - 3. Let t(u) = -90*u + 7. Let j(a) = 7*h(a) + 3*t(a). Give k(j(q)).\nAnswer: -76*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, 1, 1.3, 0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39533 is divided by 7906.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1004, -1002, -1000, -998, -996?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 220, 325, 428, 529, 628?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:58 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8952 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 23*a**2 - 33*a - 31. What is k(8)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 287\nAnswer: -92\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t - 48. What is f(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65067*l**5 - l**2 + 7579 wrt l?\nAnswer: -3904020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 346 * -0.3.\nAnswer: -103.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -470 + 234 + 243 + 20*b as d + q*b and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4948984 <= -4948982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 4, s: 3, m: 6, p: 1}. What is prob of sequence mip?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2 + 2*r + 1 + 3*r + r**2 + 2*r. Let b be m(-7). Let c = 22\/5 - 5. Is b at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**6 + 323928*j**5 + j**3 - 2*j**2 - 5453*j + 148 wrt j.\nAnswer: -240*j**3 + 19435680*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 3. Let f(k) = k - 2. Let j(n) = -3*b(n) + 7*f(n). Calculate j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -24. Let z be (3 + -4 + (1 - f))\/1. Solve 2 + z = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/524 + -1063\/2620. Which is the nearest to o? (a) 0.3 (b) -60 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = 3*m - p, 0 = -4*p + 8. Let q = -985\/4 + 246. Let g be -4*((-15)\/(-12) + 0). What is the smallest value in q, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2025 divide 4057124912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43655 is divided by 58.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**2\/2 + 4. Let b be f(1). Let x(v) = v**2 + v. Let a(c) = 5*c**2 + 8*c + 2. Give b*a(s) - 6*x(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1737 + -1492. Let u(a) = 12*a - 1. Let j be u(3). Calculate the greatest common factor of j and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -11\/6*w**3 - 5\/24*w**4 - w**2 + 0*w + 0. Let g(n) = n + 2. Determine 11*g(v) + 2*y(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 2, h: 3, b: 3, o: 2, m: 3}. What is prob of picking 1 m and 1 b?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665313 = 21*j - 1058810 - 2904784. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(468)*2*-1 - (sqrt(468) + ((sqrt(468)*-2 + sqrt(468) - sqrt(468))*-5 - sqrt(468))) - ((sqrt(468) + 4)*4 + 1)) + -1)**2.\nAnswer: 3456*sqrt(13) + 120136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + 6 + (-12 - -10) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v**3 - 9*v**2 + 24*v + 9 = 0.\nAnswer: -1, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414123 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z - 85*z + 46*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15026 - 14996 = 5*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 4*q + 9. Let k be i(3). Let h = k + -15. Calculate the smallest common multiple of h and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + (-87)\/(-2) + 3. Let s = 35 + -55. Let a = i - s. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -40. Calculate the remainder when 6 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8651*q**3 - 9282.\nAnswer: -25953*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 4195*b**2 - 4203*b**2 + 8398*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25441.\nAnswer: 13, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51775 by 10355.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 3. Let n(c) = 114*c - 1794. What is the lowest common multiple of n(16) and o(3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 2 + 0*l + 6*l - 4*l. Let r be b(2). Let t be r*(-3 + 2) - 0. Let z(x) = -x**2 - 6*x - 5. What is z(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -4402?\nAnswer: -4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Let a(p) = p - 2*p + l + p**2 + 8*p. Let c be a(-7). Solve -4*q + 1 = c*y, -y - 3*q - 2*q - 7 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30121312 (base 4) to base 8\nAnswer: -143166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(4 + 3*o**3 - 4) - 6*o**3 + 4*o**3 + 6*o**3 + (-o + o + 2*o)*(3 - 3 + o**2).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*o + 8964 = 0, 5*l - 14245 - 695 = -o. Is 35 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/(12\/88). Which is greater: 13 or l?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 3\/7773965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {s: 5, e: 1, a: 1, l: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.2, 5\/254, -253, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244530 = -1600*v + 1131*v + 4759*v for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-39) + (-3283)\/(-637). Solve -25 = 5*n, 4*n + 27 = s*r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**9\/10584 + o**8\/5880 + o**7\/2940 - o**6\/1260 + o**3\/3 - 3*o**2. Let i(j) be the first derivative of m(j). Factor i(z).\nAnswer: -2*z**2*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**3 - 4*b**2 + 23*b + 7. Calculate v(-5).\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5429150 and 1150.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t. Let o be h(-4). Suppose -f - 5 = -o. List the prime factors of f\/((-1)\/83) - 1.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3 + 0 - 1\/11*c**4 - 24\/11*c**2 + 36\/11*c = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 101 = -541. Let x = p + 160. Does 59 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9905 - -10001. What is the least common multiple of c and 176?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 11*w + 8. Let i = 234 - 158. Suppose -14*k = -i - 64. Give y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 9.39638.\nAnswer: -65.77466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1129, 1127, 1125, 1123?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/36 - 2\/(-8). Suppose 5*r - 15 + 0 = 0. Let d = 6 - r. Solve 2*v + 2 = -2*f, o = -d*v + 2*v - 4*f - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - c. Let r(l) = -5*l**2 - 3*l - 1. Let u(t) = 3*j(t) - r(t). Suppose -8866 = 84*h - 8950. Give u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -210*a**3 + 4*a**2 - 8*a - 7. Let d(t) = 422*t**3 - 7*t**2 + 14*t + 12. Give -4*d(k) - 7*w(k).\nAnswer: -218*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let o(s) = 15 - s**2 + 16 - 31 + s. Calculate 2*o(g) - 2*r(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*b**6 + 8713*b**2 + b?\nAnswer: 26280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101000011010000 + -1000010?\nAnswer: -100101000100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -3 (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 65*s - 3. Let a(k) = -66*k + 4. Let j(v) = -3*a(v) - 4*i(v). Let h(l) = l - 2. Let p(o) = -o + 4. Let g(n) = 4*h(n) + 2*p(n). Determine g(j(x)).\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(1008)*-3)\/(sqrt(28)\/sqrt(175)).\nAnswer: 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -648 - -1350. Suppose -3*t + 3*q + l = 0, 3*t - 4*q - 136 = 563. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1352 + 1351.9. Let p be 1*-4 + 3582\/(-27). Let k = p - -138. Which is the third biggest value? (a) k (b) -2 (c) 4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17\/2 and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/((-9)\/(-63)*-20)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l + 66. Let a(c) = 5 - 1 - 2*c**2 + 44*c + 2 - 1. What is the remainder when 13 is divided by a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -179405?\nAnswer: -19\/179405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 14667.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64722001847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1644, -0.4, -2\/9 in ascending order.\nAnswer: -1644, -0.4, -2\/9, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 13243.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2) + (-77)\/(-88) + -7\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236 + -150. What is the smallest common multiple of z and 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -100*p**5 + 17978208*p**4 - 91327456*p**3 + 133035336*p**2 - 64000636*p + 4314648 = 0?\nAnswer: 2\/25, 1, 3, 179777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111010000 (base 2) to base 8.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431848420 is divided by 1699?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -14. Find the second derivative of 7*t**2 + b*t**2 + 5*t - 3*t**2 + 5*t wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-280)*50\/(-40)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 4. Let i be b(-3). Let m be ((-3)\/(-2))\/(6\/8). Find the third derivative of -f**5 + i*f**5 - 5*f**2 + 0*f**5 + 4*f**m wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31754*m**3 + 1538*m - 671785919 wrt m.\nAnswer: 95262*m**2 + 1538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130\/4327 - -834999\/579818. Let j be (-6)\/21 - (-148)\/469. Let c = j + q. Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 1728808*k**2\/9 - 6914584*k\/3 + 6914368.\nAnswer: -2*(k - 6)**2*(9*k - 864296)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:32 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*1\/(-4))\/(3\/6). Suppose r*i + 10 = 0, -3*h - 2*i + 2 = -0. Solve h*s = -s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 0*u - 7*u + 56805 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 - -0.3. Round m to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(0 - 3\/2). Suppose h + 6 = -h. Let f = h - r. Solve 0 = -f*k - k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.19 + 61. Which is the closest to 0.1? (a) -5 (b) -0.1 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7678761l?\nAnswer: 767.8761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-113)\/(9*(2 - 0)) + ((-665)\/(-70) - 9).\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/76 and 41\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 9*w = -25. Let j be w\/45 - (-52)\/(-18). Let s = j + 2. Is s bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109.3 - -1.7. Let t = x + -29. Let l = t + -152. Which is smaller: 1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 12:37 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95548400 rounded to the nearest one million?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiwh when four letters picked without replacement from itkkbbtbhtitkwktht.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, -25, -57, -87?\n\"Answer: u**2 - 37*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.041*752.\nAnswer: 30.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.058 from 0.062362.\nAnswer: 0.120362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxdxxxdxxdd. What is prob of picking 1 d and 1 x?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -43. Let n = v + 18. Suppose -7 = -q - n. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 652 - -11\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3234192 and 112118656.\nAnswer: 336355968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) 1 (c) -0.3 (d) 442355\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4+1902845\nAnswer: 1902849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -68*j**2 + 4*j - 4. Suppose 8*m - 7 - 1 = 0. Let g be h(m). Let c be (-1 - 3)\/24*g. Is c >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 76.9. Let l = f + 4. Let c = -232\/35 - -45\/7. What is the closest to l in 1\/4, 3, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/437 + (-104)\/(-266)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*m + 30, -4*g - 3*m - 246 = -269 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-7\/13)\/(o*o\/(o*(o*(o**(2\/13)*o)\/o*o)\/o*o*o)*o**(-1\/2)) assuming o is positive.\nAnswer: o**(55\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -306. Find the common denominator of 7\/3*-5*549\/n and (4\/(-6))\/((-74)\/(-93)).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*c - 2, 0 = -3*m + 4*c - 1117 + 1156. Let t be -1 - 1\/(4 - 3). Put m, t, -10, -7 in ascending order.\nAnswer: -10, -7, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6977748 and 11484.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 373674 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + 22*y**2 - 17*y - 29. Calculate the remainder when j(-10) is divided by 182.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.271129 + -165.795871. Let y = r + 166. Let s = 0.107 + y. Which is the biggest value? (a) s (b) 0.3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**2 + 13*o**2 + 18*o**2 + 15*o**2 + 15*o**2 - 67*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.566491 micrometers to nanometers.\nAnswer: 566.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n)**28)**(1\/40)\/((n\/n**(-4\/5)*n\/(n\/(n**(-2)\/n)))\/(n**(-2\/5)*n\/(n*n*n\/(n\/n**(-2\/3)*n)*n))) assuming n is positive.\nAnswer: n**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = x - 10, -30 = -2*x - 3*x + 5*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98308186 to 2 dps.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)\/z)**(-9)\/(z**(1\/5)*z**4\/z) assuming z is positive.\nAnswer: z**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/18432635 and -123\/130?\nAnswer: 36865270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30756194 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -123, -99, -3, 0 in ascending order.\nAnswer: -123, -99, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.55 - -0.45. Let l = q + -87.59. What is l rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d. Let u(r) = -9*r**2. What is u(v(g))?\nAnswer: -1521*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6856 + -4?\nAnswer: 6852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -3*i**4\/2 - i**2\/2 - i + 29. Suppose -p - 4*l = 4, 5*l = -0*l. Let c(a) = -11*a**3 - 2*a - 2. Calculate p*c(q) + 7*u(q).\nAnswer: 2*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 = 3*j + 31, 5*l - 35 = 5*j. Let m = l - -3. Solve -3*n = n + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -1, -1\/2, 330405?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 8*a**3 + 4*a**2 + 8*a - 6.\nAnswer: 2*(a - 3)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -56564490.\nAnswer: -113128980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26292?\nAnswer: 2, 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-34 - 31) - (5 - -24 - 13)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 480 = -6*k + 8*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - j - 2111 = 0, z + 1051 = -z - 5*j. Let u be 2 - (-1 - (-1 + 0)). Let n be ((-1)\/2)\/(u\/z). Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 9*s + 19. Let r(o) = -11*o**2 - 20*o - 45. Let u(h) = 9*b(h) + 4*r(h). Determine u(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 272*r + 268*r - 29, 0 = -q + 4*r + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255200 + 3?\nAnswer: -255153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*x + 42 = 85*x. Solve 0 = x*d - 3*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -475 - -253. Are -222 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 449, 1205, 2565, 4823, 8273, 13209?\n\"Answer: 49*o**3 + 8*o**2 + 389*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 1, 5, 25, 30 in ascending order.\nAnswer: -53, 1, 5, 25, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 12, 3, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + 3 + 3. Let z(v) = 179*v**2 - 5*v - 14. Let f be z(x). Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + -3*sqrt(891) + sqrt(891) - (sqrt(176) + 4 + sqrt(176))*1))**2.\nAnswer: 260*sqrt(11) + 7461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from iqiysyj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-12)\/(-1)*525\/300.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132 + -2023?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*h - 4 = -4*h, 0 = 3*h + 3. Suppose -8*s + 180 = -z. Calculate the remainder when 58 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*l - 1 = 0, 2*j + 2*l - 6*l = -10. Which is the closest to 6? (a) 0.1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 11*u = 32. Suppose 5*z**4 + u - 10*z**2 + 1 + 0 - 4 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -1) + (-27 - 6 - -40) - -2 - 26.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 170 (b) 38 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(15\/30).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6003112917 to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326286.\nAnswer: 2, 3, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 288.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*-2 - sqrt(7)) + 5 - (sqrt(7) - (sqrt(28) + 4)))*1 + -3*(0 + sqrt(343) + sqrt(63)\/(sqrt(9)*-2))**2.\nAnswer: -3513\/4 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17314 is divided by 333?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - p + 6. Let x(v) = -6 + 0*v + 0 + v**3 + 4*v**2 - 5*v. Let i be x(-5). Is 18 a factor of c(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*t - 50, 502476*y + 30 = 502473*y + t for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j - 33 = 0. Let f(i) = i**3 + 11*i**2 - 471*i + 1697. Let q be f(14). Which is the nearest to -0.2? (a) j (b) q (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13.9235 and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000459 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6000, -9418, -12798, -16122, -19372, -22530?\n\"Answer: 3*h**3 + h**2 - 3442*h - 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4115 and 95?\nAnswer: 78185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-39)\/(-21))*-14. What are the prime factors of (((-573)\/2)\/(-3))\/(n\/(-24))?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960764797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16625?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*o + 96 = 0, -2*z + 4*o = 2*o - 48. Solve 11*g = -g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4820, 2, -1 in decreasing order.\nAnswer: 2, -1, -4820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0406 + -0.0594. Which is the nearest to h? (a) -5 (b) -2\/17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 - 4*w + 1. Let v be j(2). Suppose 2*u + 2*b + 3*b = 72, -u + 36 = v*b. What is the greatest common factor of u and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:20 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-447)\/(-12)*10. Let q = -377 + u. Let i = q - 2580\/7. What is the third smallest value in 0.3, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 1325 - 191 = 0. What is the greatest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 575079578 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o*o*o*o*o**0\/o*o*o)\/o*o)\/o*o)**(-48)\/(((o**8*o)\/o)\/(((o\/(o**(1\/6)*o))\/o)\/o)))**(6\/5) assuming o is positive.\nAnswer: o**(-2077\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49474760 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 185?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 143\/2*1400\/770*459 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {f: 2, s: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 835.2 greater than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1292 = 2*z + 1280 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 1. Let m(t) = -3*t**2 - 4*t + 72. Let z(d) = 4*d**2 + 6*d - 101. Let u(a) = -7*m(a) - 5*z(a). What is -2*j(l) + u(l)?\nAnswer: 3*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + (-5 + -1)*4\/(-8). Let z = 213 + s. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuuuuzuuuzu. What is prob of picking 2 u and 2 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127508, -253307, -379106?\nAnswer: -504905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 - 143. Calculate the least common multiple of 36 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3441 divide 73393089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 8*f + 3 = 0. Differentiate -3 - 9*d**3 + 8 + 3 + 12*d**f wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4052 (base 9) to base 7\nAnswer: 11432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.28. Let a be 0 - (2 + 3\/(-2)). Let v = -1.9 + -2.1. Put v, x, a in descending order.\nAnswer: x, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 - 401594*v - 40319435209 = 0 for v.\nAnswer: -200797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -453, -1830, -4133, -7362, -11517, -16598, -22605?\n\"Answer: -463*t**2 + 12*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 131*x - 13908 = 7*y - 783, 4*y = 3*y - 5*x - 505 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3298 in -1, 1\/6, -0.3, -3\/5, -436, 0.6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(605) + -4 + 0)**2 + (sqrt(240)*2)\/(sqrt(12) + 6*1*sqrt(12)).\nAnswer: -612*sqrt(5)\/7 + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87.5 + 87.749. Is k less than or equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -591*u**2\/2 + 597*u - 361. What is the first derivative of c(m) wrt m?\nAnswer: -591","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*h - 37 = 3*m - 6, 2*m - 108506*h + 108511*h + 6 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2451609*b**2*k**2 - b**2 + 195454*b*k**2 - b*k - b + 4 wrt b.\nAnswer: 4903218*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**5 - 275*h**4\/4 - 335*h**3\/2 - 100*h**2 - h - 204. Determine o, given that z(o) = 0.\nAnswer: -40, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100010001 + -1011?\nAnswer: -11011100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + (-150)\/(-35). Calculate the smallest common multiple of 6 + (1 - 7 - 8\/(-2)) and (d\/10 - 11\/15)*-30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-4))\/(1\/5)*-4. Let j(p) = -48*p**2 - 9*p + 8. Let o be j(u). Let m = o - -2972. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 11*g + 30. Which is the nearest to -16? (a) -1\/8 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/2 + 239955*o**3 + 19193760471*o**2\/2 + 38384641530*o + 38383681734.\nAnswer: 3*(o + 2)**2*(o + 79983)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - sqrt(612)*-1)*-5 - sqrt(612) - sqrt(612)) + 2 + -3*sqrt(612) + sqrt(612))**2*4*-5.\nAnswer: -2399120 + 6720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14217 + 14217.3. What is the third biggest value in b, 699, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let h(z) be the first derivative of 0*z**3 - 7\/2*z**2 - 9 + 7\/12*z**4 + 0*z. Let t(o) be the second derivative of h(o). What is t(u(r))?\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 17*r + 18192 = -5*z, -2*r - 3*z + 12128 = 0. What are the prime factors of r?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 7, -8.\nAnswer: -8, -5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.06, -4\/3, 0.5, -2\/3, -1.5335?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8134 - -1.83. Round u to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 + h**2 + h + 1. Let j(a) = -4*a**3 + 6*a**2 + 11*a + 6. Calculate j(q) - 8*t(q).\nAnswer: -36*q**3 - 2*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23689500 to the nearest integer?\nAnswer: 4867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 - 3*o**2)*(2*o + 1 - 1)*(-3309 - o + 0*o + 3289).\nAnswer: 4*o**4 + 80*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:37 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154644.\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 8*o + 2*m + 4 = 0, -m = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3732693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9747\/5 + -1939. Suppose -10*i + 531 - 181 = 0. Find the common denominator of 0 - (((-55)\/i - 3) + 2) and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*y**3 - 161*y**3 + 86*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4138075?\nAnswer: -1\/827615","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:49 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*-7*7\/28?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6 - 4\/(-6). Suppose -7*b = -t*b - 15. Let i(z) = z**3 - 2*z**2 - 3*z - 2. Calculate i(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*h - 7, -69985*h + 69980*h - 12 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppoopkkppoo. Give prob of sequence pk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71031 times -5?\nAnswer: -355155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/15*-1*(-3610)\/361?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 + -8)*(8702\/(-10) - (3 + 2)). What is j rounded to the nearest 100?\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6622, -27412, -62382, -111538, -174886, -252432?\n\"Answer: -r**3 - 7084*r**2 + 469*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22555 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 3. Suppose 6 = j - 5*y - 10, 0 = 3*j + 4*y + 9. Let o = 83 - 78. Which is the nearest to j? (a) o (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200110 + -12?\nAnswer: 200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2 = 0, 3*z + 388 = 3*p + 391 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**3 - o**2 - 52*o + 164. Calculate w(7).\nAnswer: 3181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 23. Let o be l(8). Calculate the lowest common multiple of 22 and o*2\/3*(-9 + 39).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/3 - 16\/24. Let z be (-10)\/x*(-12)\/(-10). Put z, -2, -1 in descending order.\nAnswer: -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1746 + 3630. Suppose -5*u - b = -11*u. List the prime factors of u.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1832 - -57.360301223\nAnswer: 1889.360301223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -89?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1172914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b - 8. Let a be 3*2\/(-6)*-5. Let y(c) = 19*c - 10. Let m(l) = -10*l + 5. Let f(h) = 5*m(h) + 3*y(h). Give a*x(d) - 8*f(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 2 d when four letters picked without replacement from dtqvdrtqtt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*w = 111 + 8 + 1339 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 5*l + 8. Let a be v(0). Suppose 53 = a*r - 203. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73000 to the nearest 1000.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/36 + 1\/12. Which is the second smallest value? (a) 5 (b) f (c) -5 (d) 25 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161\/6 + -27. Let c = -13 - -18. Let g be 6\/9*3\/c. What is the biggest value in 5, g, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (4 + -4) - 0. Is 2 + 304 + 0 + t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5 + 2) - 9. Is -9 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 19 + 31 = i, -4*i = -13*q - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5453026 (base 10) to base 4.\nAnswer: -110303103202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 100, 136, 208, 328, 508, 760, 1096?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Let h be (-3)\/(-6) + (-5)\/a. Let k(u) be the first derivative of u**4\/4 - 4*u**3\/3 + 3*u**2\/2 - 3*u - 27224. Give k(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1107229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5687, -5689, -5691?\n\"Answer: -2*q - 5685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from clllcwfcwlwwl.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {m: 4, a: 8, i: 1}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + -91. Let t = f - -181. Solve -y + 5 = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24197 - 24194. Solve 217*u + 2 = -2*q + 219*u, 0 = 5*q + m*u + 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/98)\/((-532)\/(-784) - 5\/4)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*s - 4, -5*c + 3*c - s + 4 = 0. Let q = 0.03 + -2.03. What is the nearest to c in q, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 - (78 - 28) - -28\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1081, 1082, 1083, 1084, 1085, 1086?\n\"Answer: j + 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(7 + -9). Find the common denominator of ((-12)\/(-56))\/(w\/30) and -64\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521319540 divided by -9695?\nAnswer: 53772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-6) + 1\/(-3). Suppose 8*u - 20 = j*p + 4*u, -u - 13 = 2*p. Let f = p + 16. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53491909, 106983820, 160475731?\n\"Answer: 53491911*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8201849759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 16. Suppose 5786 = -315*l + 258*l + 320*l. What is the remainder when l is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91051 take away 5130?\nAnswer: -96181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1.96.\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20 - 2400\/(-125) - 168\/(-10). Let g(t) = t + 6. Calculate g(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515458, -1030909, -1546360, -2061811?\nAnswer: -2577262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at most as big as -5465284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 20 = -2*w + 5*l, -5*l = -3*w - 34. Calculate the remainder when 27 is divided by (28\/w - -4)*14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1, 0.4, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4843 - -4855. What is the remainder when 1103 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcuu when four letters picked without replacement from {s: 4, b: 2, c: 5, m: 1, u: 2}.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 6 - 2. Suppose -8*t + 3*t = -c*x + 589992, 0 = 2*t + x + 236004. Round t to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4227.146us in nanoseconds?\nAnswer: 4227146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 5*z + 42, 2*z - 54 = 2*l. Let f = 39 + l. Solve -q - q + f = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + y**2 - 2*y - 4. Let u be q(-2). Suppose 0 = r - 5*r + u. Let d = 14 - r. Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112380758 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149 not equal to 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 a factor of 7741832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 178*n + 182*n = 4 - 40, 4*n = 5*v + 44 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 2 (b) -1 (c) 113.5 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3 - 7240*s**2 + 6544954*s + 13118884 = 0. What is s?\nAnswer: -2, 1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-16))\/(9\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3336? (a) 1 (b) -1 (c) -3\/2 (d) -6 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 101322?\nAnswer: -101311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37720732*m**2 + 177*m - 749438 wrt m.\nAnswer: 75441464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(-1)\/3*2. Let q(d) = -4*d + 14. Let i(k) = 3*k - 13. Let b(n) = -3*i(n) - 2*q(n). What is the units digit of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 9*l**2 - 5*l - 94. What is p(9)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 147 = l - 12*f, 144*l + 15 = 147*l + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 1:23 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -201*25 - 0. Let l = u - -1267. Is -5 + (4 - l) - (0 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -33\/7, 0.1.\nAnswer: -33\/7, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12662*i**3*p**3 - i**3*p**2*v - 2*i**2*p**3*v - 16*i*p + 361*p**2*v wrt i?\nAnswer: 75972*p**3 - 6*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4543\/4 - 86113\/76. Calculate the common denominator of n and -1\/11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 2, s: 2, w: 3, g: 4}. What is prob of picking 1 z and 2 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 1 - 5. Suppose m*c - 2 = 8. Find the second derivative of 10*v + 11*v + 16*v**c + 0*v**3 + 0*v**3 wrt v.\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 6*q**2 + 6*q + 8. Let m be i(7). Let j(c) = c**2 + 2*c - 1. Let l be j(m). Suppose -1 - l = y. Let b(n) = 2*n + 4. Calculate b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/10, 0.2, -1\/3, -1\/7, 2\/153?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 10198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 = -2*l - 3*w, -3*l = 2*w - 7. Let n = 3572 + -3566. Find the first derivative of -l - 8*c - 24 - n - 2 wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -1066\nAnswer: 3\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -83*q**3 + 3*q**2 + q - 5. Calculate the lowest common multiple of 20 and w(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 407.6 (b) 18 (c) -0.08 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 10*u**2 + 5*u - 120. Give c(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750 = 4*q - 742 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 330 - -123514.448539.\nAnswer: 123844.448539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:32 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**2\/8 - 12*j = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 2. Let o(v) = 7*v + 25. Determine -3*d(t) + o(t).\nAnswer: 4*t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 460.2*-0.2\nAnswer: -92.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, -10\/3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 24 = 17*w + 4*s, 99*w + 12 = 91*w + 2*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202742 times 0.5?\nAnswer: 101371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1653 - -1?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2128\/(-7980)*(-5)\/(-14).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -4 (c) 0.1 (d) 0.41 (e) 21 (f) 9.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3973\/55 - -353\/5. Calculate the common denominator of g and 43\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 + 5*u**2 - 9*u - 5. Let m(s) = 2*s**2 - 4*s - 2. Give 4*j(q) - 9*m(q).\nAnswer: -12*q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.012. Let g = 2.81 - 0.81. Which is the biggest value? (a) g (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 4 - 28 + 13 - 9*d - 9*d.\nAnswer: -18*d - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + q - 1. Let v(c) = -124*c**2 - 7*c - 27. Let m(b) = -14*l(b) - 2*v(b). What is the first derivative of m(d) wrt d?\nAnswer: 552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*i**4*p + 3*f*i**3*p + f*p - 3*f - 192*i**4 + 2*i**2*p wrt i.\nAnswer: -48*f*i*p + 18*f*p - 4608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -1\/84*s**4 + 41*s + 0*s**2 - 1\/21*s**3 + 0. Factor a(n).\nAnswer: -n*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -12 - (106 - 121)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/3 - 8056*i**2 - 240980*i\/3 + 4831600 = 0.\nAnswer: -24158, -30, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -411270 and -411280 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5525 and 4825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10274 and 1922172.\nAnswer: 21143892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 48 = -4*x, 5*p = 5*x - 0 - 55. Suppose -12*r = -x*r - 6750. Let j = -647 + r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*q + 21 = 0, 874*u = 873*u + 5*q - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from asjjfwjaswjfjfjaf?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 12563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 7*p**2 + 3*p + 8. Let l be h(4). Let r(n) = 28 - 16 - 16 + 2 - l*n. What is r(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-28)\/9 + 3). Let v = k + -9. Suppose 4*d + 6 = -f, 4*f + 5*d - 25 + 5 = v. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 22. Let c = m + -92. Is (c\/12)\/((-1)\/4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18427.\nAnswer: 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -21*k**2 - 1944*k - 188184. Let w(p) = 235*p**2 + 21385*p + 2070025. Let j(n) = -4*w(n) - 45*x(n). Factor j(q).\nAnswer: 5*(q + 194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483373797.\nAnswer: 3, 10601, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.396599t to micrograms.\nAnswer: 9396599000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4*u + 8*u - 9*u.\nAnswer: -5*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17909\/594 + -647\/22. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 25488.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(637)*4.\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*c - 12 = 0, 4*i = 4*c - 97 + 81 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9686488ng to milligrams.\nAnswer: 0.0000009686488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgkxwfwwhggf. Give prob of sequence xk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l + 70. Let a be y(-11). Solve 0*i + a = 2*i - 4*b, 0 = -4*b - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1579456 divided by -46\nAnswer: -34336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.54 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 12*w**3 - 38*w**2 - 271*w + 1\/3*w**4 + 0. Suppose b(j) = 0. What is j?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4229126, -8458243, -12687360, -16916477?\nAnswer: -21145594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 11:48 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*b**4 - 80*b**3 - b**2 - 256*b - 7 wrt b?\nAnswer: 348*b**2 - 480*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102211220 (base 3) in base 16?\nAnswer: 1a22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 590068757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.3, -4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*k + 690 = g, 2*g - 270 = -4*k. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 - 3*y - 1. Let b(v) = 6*v**2 + 4*v. Let o(j) = 6*b(j) + 7*n(j). Let w be o(7). Suppose g = 4*g - w. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(28)\/sqrt(4)))**2 + -5 + (sqrt(14)\/sqrt(2) + -4 + -5 + -5)**2.\nAnswer: -36*sqrt(7) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:45 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6854 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 144. Suppose 0 = -u*j + 12*j + 14172. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8*(-4)\/6. Let y = -40747\/5 + 8150. What is the second biggest value in t, 0.1, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 times -5061321\nAnswer: -253066050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/5 + 742*a\/5 - 80784\/5 = 0. Calculate a.\nAnswer: -459, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**3 + 7*s**2. Suppose -5*j - 55 = -5*i, -5*i - 5*j + 7 = -28. Let x = -11 + i. Let p(n) = -4*n**3 - 3*n**2. Determine x*o(w) - 5*p(w).\nAnswer: 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Let g = 15.634 + -11.634. Which is the nearest to r? (a) 8 (b) g (c) -1\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202b3 (base 15) to base 11.\nAnswer: 6a598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 + 13\/(13\/38529) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61 and 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127380, -127675, -127970, -128265, -128560, -128855?\nAnswer: -129150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 461611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.67177l to millilitres.\nAnswer: 12671.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054970081?\nAnswer: 11, 487, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 2, x: 1, e: 1}. What is prob of sequence ff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*s - 5, -26*x = -24*x - s - 15. Calculate the lowest common multiple of 19 and x.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -9) + -10 - (-5 + 21 - -71)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1055088)\/(-103440)*5*-1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-52)*(-7)\/210*-20.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/6 - u. Let x(z) be the first derivative of 14*z + 1 - 14*z - z**2. Give x(i(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 11. What is u(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**2 - 2*h**2)*(-3*h + h + h) + 402599*h - 402599*h - 9279*h**4.\nAnswer: -9277*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -42*c + 3. Let h be 1*((-6)\/(-15))\/(5\/(-25)). What is the units digit of n(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 15*s + 11. Let y be z(14). What is the closest to -5 in -1\/5, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1458 + 1335. What is the remainder when d is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 16) + (5 - (11 - 1 - (-49 + 190)))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1966 and -1965 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + 1713. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 56*l - 249. List the prime factors of t(6).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k*k**4))*k*k*k**(2\/11)*(k**(1\/3))**(-10) assuming k is positive.\nAnswer: k**(160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406308929 and 5135?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1. Let g(c) = -c**2 - 7*c - 3. Let n(f) = -g(f) + 3*i(f). Solve n(l) = 0 for l.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 5. Let q(z) = -11*z - 9. Let w(u) = 4*q(u) - 7*v(u). Suppose -5*c + 5 = -5*n, -c + 6 + 4 = -4*n. What is the units digit of w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 3:26 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(5 + -1 + 0). Suppose k + 5*b + o - 3 = 0, 3 = -3*b. What is the remainder when 16 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - (6 - -2 - 9)) - (48 + 40)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 6 - 4 = 5*k, 5*j = 5*k + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1698*p + 53156 + 21371 - 8305 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.9. Let a = 213.1 - 24.1. Let y = -191 + a. What is the closest to s in 2\/5, y, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlc when three letters picked without replacement from cxcccxsl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1342? (a) 0.5 (b) 5\/126 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -174*t + 9*t**2 - 231*t + 404*t. What is y(3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1967945038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2 - 5) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6170419 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3424 = -5*c, 127*k = 132*k + c - 17146. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/2)\/n))**(2\/15)\/((n**(-5)\/n)\/n**(-1\/4)) assuming n is positive.\nAnswer: n**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 5*j**2 + 8*j + 4. Suppose 0 = 2*y - 5*u - 22, 0*u - 5*u + 2 = 2*y. Suppose a + y = -3*c, 4*c - 20 + 2 = 3*a. Give t(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/(2\/3*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 929.6348 grams?\nAnswer: 929634.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**19 assuming x is positive.\nAnswer: x**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44 - 37 - (-123)\/(-18)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*g - 2102, -g - 4*g = 2*n - 4139. Suppose -3*x - 1673 = x + 5*m, 3*m - n = 5*x. What are the prime factors of x\/(-12) + 2\/8?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237206396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5300 - 5297. Let n(c) = -c**3 + 3*c**2 - 2*c + 2. Let f be n(2). What is the second smallest value in -0.2, -1, f, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2760)\/3680)\/((-2)\/(-1))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42598 * -472\nAnswer: -20106256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149293 - 52601. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ehhheheheh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/15)\/((-38)\/(-190)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -169*n**7\/70 - 77*n**4\/3 + n**3\/6 + 2*n**2 - 11*n. What is the second derivative of k(s) wrt s?\nAnswer: -6084*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -23*r**4\/6 - r. Let b(z) be the third derivative of -z**4\/12 + 2*z**2 - 219*z. Determine b(q(a)).\nAnswer: 92*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 - 12*z - 14. Let x be w(6). Which is greater: 92 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 - 9*k - 5. Let y be h(-8). Solve 0*t + t - u = 1, 0 = y*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**5 + 6502*x**3 + 744*x wrt x?\nAnswer: 60*x**3 + 39012*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 19*l = -19*l - 5223405. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - z = 103, 5*z - 12 = -5*o + 103. Suppose g = -4*n + o, n + n + 2*g = 12. Suppose 135 = 5*m - n*s, -3*s - 83 - 24 = -4*m. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -719d2 - -117?\nAnswer: -718b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (84\/672)\/(3\/312)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 2*g**2 + 11*g + 8. Let o(n) = -4*n**3 - 11*n**2 + 56*n + 41. Let v(f) = 2*o(f) - 11*t(f). Factor v(p).\nAnswer: 3*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**5\/10 - 2*b**4\/3 - 5*b**3\/3 - 2*b**2 + 14*b. Factor y(h).\nAnswer: -2*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3369 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -6*w + 4*i + 1, 9828*i - 9829*i = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from {j: 1, v: 2, p: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-17051208)\/(-193708) + (-2)\/79 - -36\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 11. Let b be i(3). Suppose 15 = 3*c - 0*c, -b*c + 770 = -5*k. Let j = k + 238. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {e: 3, c: 6, w: 6}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b - 90. Let g(r) = -r - 9. Let f(n) = 10*g(n) - v(n). What is f(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/22)\/3*(-60)\/(-105)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2299) + -2*sqrt(2299) + -2 - sqrt(2299) - (sqrt(2299) - -2*sqrt(2299))*1))**2*-4.\nAnswer: -229904 + 440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, 0, 0.077, -2, -76, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76932380 rounded to the nearest 10000?\nAnswer: 76930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*-190*34\/3060?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 + 13*n - 13. Let b(x) = -3*x**2 + 6*x - 6. Let d(o) = 5*b(o) - 2*f(o). Let t = 4 + -1. Give d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00706*10.5.\nAnswer: 0.07413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*p = -4*f - 18, 5*f - 15 = p. Suppose 3*c = 17 - f, -5*c = -x - 30. Let d be x*4\/(-5)*1. Solve -6*b + d*b + 14 = -4*z, 9 = -2*z + 3*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -25, -35?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2 + 0)\/((-30)\/60). Let o = -3034\/23 - -132. Which is the nearest to z? (a) 5 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*a + 8*a = 23, -a + 11 = 4*i. Solve i = d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i + 1\/36*i**4 + 1\/60*i**5 - i**2 + 0*i**3 - 1\/72*i**6 + 0. Let z(l) = 0. What is l?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 3*i**2 + 4 + 174*i**6 - 7 + 10*i**2 wrt i.\nAnswer: 20880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 - 19. Suppose 1108*a - 1130*a - 3 = -47. Factor -133*j**2 - 20*j - g*j**2 + 268*j**a.\nAnswer: 5*j*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30159 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:29 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*g - 31, 4*p - 2*g - 55 = 3*g. Suppose p = -4*u + 6*u. Suppose -u*c + 3*c + 4*x = 0, -5*c + 4*x = 6. Let q(i) = i**2 + 2*i + 3. Calculate q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-45))\/(-2)*(-12)\/(-8). Let o = 4 - 3. Which is the closest to 0.4? (a) 0.3 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 225729, 453283, 680839, 908397, 1135957?\n\"Answer: x**2 + 227551*x - 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2280029, -4560065, -6840115, -9120185, -11400281, -13680409, -15960575, -18240785?\nAnswer: -20521045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -98. What is the smallest common multiple of 132 and l?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + 5 + 4\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303202102 (base 4) to base 11.\nAnswer: -6214a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*u - 15, s - 5*u - 17 = -2. Suppose 5*o + 12 + 13 = s, 0 = 4*w - 3*o - 27. What is the units digit of -4*(w\/(-2) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j - 2*j - 25)*(-330 + 167 + 186).\nAnswer: -23*j - 575","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = i. Solve 3*l - 2*l + 20 = -i*m, -5*m - 10 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -200*g**3 + 308*g**2 - 124*g + 28. Let f(p) = 401*p**3 - 616*p**2 + 247*p - 59. Let b(t) = -4*f(t) - 9*h(t). What is l in b(l) = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-37))\/((-1)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-64 - 13 - ((-2 - -6) + -7))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*42\/21*2*5\/(-100)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-31)\/(-4) - (-2)\/8)\/2. Solve 3*w - 8 = k - 6*k, -5*k = -w - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssx when four letters picked without replacement from bqdjxxsqssxss?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70406412, 70406416, 70406422, 70406430, 70406440?\n\"Answer: m**2 + m + 70406410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972107 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + v. Let r(i) = -16*i. Give l(r(h)).\nAnswer: 768*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/8)*w)\/w)\/(w\/((w**(-3\/2)\/w)\/w))*(w**(1\/2))**(3\/23)*(w*w**1*w)**4\/(w\/(w*w*w*w**1*w))**0 assuming w is positive.\nAnswer: w**(1415\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17374539 and 1638?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-7)\/84*126\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 0)*(-2 + 0 + 3) + (2 - 4 + 9)*(-3 - 2 + 4) + (-2 - 10 + 16)*(-5 + 2 + 1))*(2*a + 4 - 4) as m*a + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {u: 4, k: 3, x: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -885, -888, -893, -900, -909?\n\"Answer: -f**2 - 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 4:55 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1250*d**3*k**3 + 14523*d**3*k + 15*d - 114654*k**3 - 120*k**2 wrt k?\nAnswer: 7500*d**3 - 687924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981*r + 4*g - 304 = 978*r, 3*r - 318 = 3*g. Calculate the greatest common factor of 10816 and r.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + h - 1030, 5*h + 2530 = 452*o - 447*o. Solve -63 = o*j - 533*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggaa when four letters picked without replacement from ggggaag.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 190a6 (base 13) to base 2\nAnswer: 1011110101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1836, -1812, -1798, -1800, -1824, -1876, -1962, -2088?\nAnswer: -2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/31)*o\/((((o*o\/(o*o**(-2)*o*o))\/o)\/o)\/o)*o**(-3\/4)\/(o\/o**(-2\/13)))**(-47) assuming o is positive.\nAnswer: o**(-78161\/1612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 2. Let d(z) = -4*z**2 - 2*z - 3 - z**3 + 9*z**2 - t. What are the prime factors of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81*j**4 - 554*j**2 + 371*j - 13174993 wrt j?\nAnswer: -324*j**3 - 1108*j + 371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337.9659 - -0.0341. Let s = 315 - h. Which is the third smallest value? (a) -0.5 (b) -5 (c) s (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/8044180 and 107\/762.\nAnswer: 24132540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 - 29*y**2\/4 - 737*y\/4 + 765\/4.\nAnswer: (y - 45)*(y - 1)*(y + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -j + 18, -8 = -3*j - 2*l + 2. Suppose 5*v = j*v. Suppose v*y - 24 = -2*y. Calculate the remainder when 19 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122113426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12864, 12862, 12860?\nAnswer: 12858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 0*h - 5*h. Let i = 19 - 16. Calculate f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9102)\/481 + (-5 - (-240)\/10).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 8. Let w(l) be the second derivative of l**3\/6 + 2*l**2 + 3*l. Let j be w(4). What is the units digit of t(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o - 3*o**2 + 11 - 11 - 4*o**3 + 0*o**2 + o**3 to h*o**2 + c*o**3 + z + g*o and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-5 + 5*1\/5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3252 and 131\/10791762?\nAnswer: 21583524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -154*(-1 + 2 - 3\/6). Suppose 0 = -u - 0*u - 4*c + 108, -u + 132 = -4*c. Let i = u + f. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + j + 1. Suppose i - 4*v = -20, 4*i - 4*v + 0*v = -20. Let n be p(i). Suppose 0 = -w + 17 - n. Solve 0 = -x - 3*x + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572198375 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 1\/4 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12\/11))**(-46)\/((w\/((w\/w**(-30))\/w))\/w**28) assuming w is positive.\nAnswer: w**(1179\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33486.\nAnswer: 2, 3, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -5, 0.5, -0.3 in increasing order.\nAnswer: -5, -0.3, -0.24, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyt when four letters picked without replacement from {t: 2, y: 18}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1100)\/(-1680) + 2\/((-16)\/6).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1913.9 to the nearest ten.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4884.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**7\/420 - v**5\/30 - v**3\/2 + 3*v. Let z(p) be the second derivative of j(p). What is the second derivative of z(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81049.07 decades in months?\nAnswer: 9725888.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 62 + 1 + -1 + -4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 786\/(-54) - -15 - 4\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74422056.\nAnswer: 2, 3, 17, 47, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1185, -2380, -3589, -4818, -6073, -7360, -8685, -10054?\nAnswer: -11473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 11242724*n**3 + 11242245*n**3.\nAnswer: -479*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1734*k**2 + 542*k - 542. Calculate y(1).\nAnswer: 1734","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348324?\nAnswer: 2, 3, 29027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = -0*u. Suppose 2*w = -4*y + 108, 0 = -12*w + 13*w. Solve 4*o + 5*h = -y, u*h = 5*o - 4*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/(-1*(-21)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 11 - (2 - (0 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (168\/(-40))\/21 + 1584944\/(-530). Let h = -2991 - a. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.37 - 2.29. Let k = -0.18 + v. Let h be -2*(4\/2)\/(-22). What is the nearest to k in 1, 1\/8, h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-4*c + 2*c + 3*c) + (c + 3*c - 5*c)*(3 + 1 + 1)*(17 - 27 - 33) to h*c + w and give h.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*b**2 + 1193498*b\/5 + 1540 = 0. Calculate b.\nAnswer: -1\/155, 3850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 33 + 29 = 0. Calculate the highest common divisor of 155 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 135b - 1de?\nAnswer: 116c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(4\/5)*a))\/a**(1\/14))**29*(((a\/(a\/a**0))\/a*a)\/a**(1\/10))**(5\/3) assuming a is positive.\nAnswer: a**(-844\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0885713 seconds to microseconds.\nAnswer: 88571.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - q + 4 = -8, -3*v - 2*q = -3. Solve t - v = 4*a, 0*t + 6 = -3*a + 2*t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 - 21*p**4 - 36*p**3 = 0. Calculate p.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-56)*(-344224)\/(-1041)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24500332 + -6?\nAnswer: 24500323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 - (28 - -42) - (-5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 2. Let k(s) = -s**3 + 4*s**2 - 4*s + 1. Let g be k(3). Let h be 4\/((1 + g)*-2). Calculate z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.122 greater than or equal to 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:46 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/2 (b) -0.1 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 10 = -d. Let b(r) = -17*r - 7. Let f be b(d). What is the greatest common factor of f and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 10 = 0. Suppose -2*c - 19 = -3*x, -3 - b = -x + c. Solve -x = 3*j - 0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 146, 533, 1154, 1985, 3002, 4181, 5498?\n\"Answer: -4*z**3 + 141*z**2 - 8*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f + 2. What is the tens digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, -0.3, -1\/4, 2, -10, -3\/650?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -294*s**4\/11 + 3444*s**3\/11 - 15126*s**2\/11 + 29520*s\/11 - 21600\/11.\nAnswer: -6*(s - 3)**2*(7*s - 20)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448\/21*(-3 + 4)*141?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 37*q = 124. Calculate the highest common divisor of q and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17652141 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from ujbbppjjpbppip?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(27\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5343*t**2. Let o(q) = 15*q**2. What is b(o(n))?\nAnswer: -1202175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -115\/6 (b) 13\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.087597649 to four dps.\nAnswer: 0.0876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6 minus 237?\nAnswer: -222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 277*n**2 - 3*n - 1901 wrt n.\nAnswer: 554*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46170514 less than 46170515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11493015 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:53 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3762428 or 7524857\/2?\nAnswer: 3762428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -127875, -255744, -383611, -511476, -639339, -767200?\n\"Answer: u**2 - 127872*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r**2 - 338*r + 1622. Give z(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = -30. Suppose -2*x - g = v - 20, -5*v + 4*x = -70. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -807, -1, 0 in ascending order.\nAnswer: -807, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Suppose 7 = -u*f + 22. Suppose -4*c = -5*g - 47, c + 0 = -f*g - 1. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*l - 25454 = 15451 for l.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 361*g**2. Let x(i) = 35*i**2. What is c(x(q))?\nAnswer: 442225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 - 191.00109. What is x rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/3))**(39\/2))**(-7\/3) assuming p is positive.\nAnswer: p**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2044 + 769 = 0. What are the prime factors of f?\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1067 and 43855543?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**4 + 2*f**3)*((4 + 0 - 2)*(1 + 0 - 2) + 1 - 3 + 0 - 4 + 2 + 0 - 59 + 30 - 63).\nAnswer: -196*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-28 - -11 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*-13*3\/(-156).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427 and 54334.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + 1\/2*u**2 + 7\/10*u**5 + 1\/12*u**4 - 1\/6*u**3 + 2*u. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (31 - 5) + -2 - (5 - 0). Suppose 2*w = 6*w - 4. Put 4, w, d in descending order.\nAnswer: d, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 306 + -303. Suppose 5*a - 20 = 0, 4*m = 5*a - c*a. What is the least common multiple of m and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165\/220*(246\/1)\/(13\/(182\/63))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 29. Let x(q) = q**2 + 31*q + 33. Let j be x(y). Solve -j = 49*b - 50*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6263356?\nAnswer: -1\/6263356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 423 and 376?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -23*t**2 + 402*t + 2774. Give q(-7).\nAnswer: -1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6))**(-18)*l**(-5\/4)*l**(-18) assuming l is positive.\nAnswer: l**(355\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 72 (b) -2\/11 (c) -1326 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*f + 16 = 0, 6*b - 10 = 3*b + f. Suppose -2*w + 8 = t - 5*w, 4*t + b*w = 0. What is the second derivative of t*c + 3*c**2 - 4*c - 5*c**2 wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-20)\/(1 - (-8)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 + 92. Is i > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154222 - -228693. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18249\/32? (a) 1\/3 (b) 0.1 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -1\/790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 41. What is the units digit of (6\/4)\/3*(40 + q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -641 + 2875. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-36)*(-1204)\/2688*-108.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239215 + 38072 = -14132*i - 47749 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/20 + u**4\/2 + 5*u**3\/2 + 3*u**2\/2 + 202*u. Calculate w(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 3*v**3 + v**3)*(-2*v + 3*v + 0*v) + 0 + 0 + v**4 + v**4 + 0*v**4 + 0*v**4 + 7*v**4 - 13*v**4 - v**4.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 133) + (59 - (2 - -21)) + 14 + -37.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13012871.4 to the nearest ten thousand.\nAnswer: -13010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 28 - 10*h + 56*h - 14*h - 18*h + 5*h**2. Is i(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7541.2 from 0.1.\nAnswer: -7541.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**3\/6 + 4*i. Let b(o) = -2*o. Calculate m(b(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let a(o) = -7*o - 7. Let k(r) = -a(r) - 6*l(r). Let c(g) = 3*g**2 + 15*g. Let t be c(-5). Suppose 4*p + t*p = -40. What is k(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:36 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -101*w + 218. Suppose -n - 2*p + 35 = 0, -4*p - 58 = -4*n + 106. What is the remainder when n is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**3\/2 - 7*x**2\/2 + 15*x. Let p be s(3). Solve 2*z + 12 = -p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8701321 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 5*h + h)*(11*h**2 + 13*h**2 + h**2) + (4*h + h - h)*(-2*h**2 - h**2 + 5*h**2).\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h + 1. Suppose -30 + 0 = -6*f. Suppose -4*q - 9 = f*t, -6*q = -3*t - 7*q - 4. Let i be t*-4*3\/(-4). What is k(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31860457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 385232 less than or equal to 385232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:04 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -694?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 421500063 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4496, 5, -0.5, 4, 10, -4 in decreasing order.\nAnswer: 4496, 10, 5, 4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1051 - -1502.8?\nAnswer: 1502.6949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t - x - 59, -3*x + 63 = -3*t. Let r = -12 - t. Suppose -s = r*s + 2*z - 98, 4*s - 3*z = 60. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129.3 - -94.97. Let y = q + 0.33. Let f = -34.00065 - y. Round f to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 16*t - 18. Let j(z) = -3*z**2 - 16*z + 17. Let v(g) = -3*j(g) - 2*r(g). Let f be v(-17). What is the highest common factor of f and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2 - 2*p - 3\/8*p**3 + 13\/8*p**2 = 0. What is p?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 29*z**2 + 95*z - 38. Determine s(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:53 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.5603*-5\nAnswer: -17.8015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/7070532 and -97\/74046.\nAnswer: 304032876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13681, 13682, 13683, 13684, 13685?\n\"Answer: t + 13680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -563723, -563721, -563719, -563717, -563715, -563713?\n\"Answer: 2*a - 563725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/28 + (55\/(-330))\/((-21)\/(-3555))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68809*h**4 + 95218*h wrt h.\nAnswer: 825708*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -55 - -5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 - 3. Let a = 10\/13 + -56\/39. What is the nearest to -0.1 in 4, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 3. Let y be p(-7). Suppose 4*g = -y*s + 888, 5*s + 2*g + 2*g - 1114 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + -2 + 1. Suppose -5*w + 270 = -5*f, 31*f - 32*f + 150 = 3*w. Put -2, w, m in decreasing order.\nAnswer: w, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/4651?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 2. Suppose -4*f = -8*f - 64. Let r = -11 - f. Let n be (-28)\/(-5) - (-2)\/r. What is c(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128984596 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.1, -3, -11829, 0.2, 0.5 in decreasing order.\nAnswer: 10, 0.5, 0.2, 0.1, -3, -11829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18651*k**4*r*s + 117*k**4*r + 157017*k*r*s - 16*r*s wrt k.\nAnswer: 223812*k**2*r*s + 1404*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.125.\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99.7 + 99.73264. Round f to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -41. Let v(m) = u*m - 30 + 30. Let x(r) be the first derivative of -2*r**3\/3 + 49. Determine x(v(f)).\nAnswer: -722*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**3*y**3 - n**3*z**2 - 150*n**2*y*z**2 + 18*n*y**2*z**2 + 4*n*y*z**2 - 22*y**3 - 2*z**2 wrt y.\nAnswer: -42*n**3*y + 36*n*z**2 - 132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2842, -2843, -2844, -2845, -2846, -2847?\n\"Answer: -o - 2841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.92 + -0.08. Let k = -13.6 + 9. Let g = k - z. Which is the second smallest value? (a) g (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) -9 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let s(w) be the first derivative of 169*w**2\/2 + 947. Determine s(p(z)).\nAnswer: 338*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1221*r**2\/4 + 1275891*r\/4 + 28995 = 0.\nAnswer: -38660\/37, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1044450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c = -658. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303483511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5\/5 + 29199*a**4\/5 + 496953*a**3\/5 + 2895021*a**2\/5 + 7107102*a\/5 + 1263600 = 0.\nAnswer: -8, -3, 9750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/12 - r**4\/8 - 29*r**2. What is the second derivative of s(c) wrt c?\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, x: 1, n: 5}. What is prob of sequence nv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(196))\/(sqrt(700) - (sqrt(700) - (sqrt(700) + (sqrt(700) - (sqrt(700) - -2*sqrt(700)))))) - (-2 + (sqrt(35)\/sqrt(45) - (-1 + sqrt(112)))**2).\nAnswer: -838\/9 + 104*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4102*k - 4101. Determine o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a - 34*a**3 + 44 - 6*a**2 - a**2 + 35*a**3. Calculate the remainder when 19 is divided by y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.914168 centuries in years?\nAnswer: 91.4168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 3 (c) 8 (d) 1303 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -0.07. Let p = 2215 + -2215. Which is the nearest to p? (a) 0 (b) 1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*z - 22, 5*n = -z - z + 29. Suppose -3*g + 17 = -n. Let d = g - -22. Solve -2*u + 5*a + d = a, 5 = 2*u + a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(180)*-3 - -6*(sqrt(15)\/sqrt(3))**2) + (sqrt(20)*-5 - (-4*sqrt(5)*-2)**2).\nAnswer: -290 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -171. Let s(d) = d**3 - 8*d**2 + 7*d + 2. What is s(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*p + 21 = 0. What is the units digit of ((-102)\/12 - p) + 70\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2) - 2) + 8\/1)*-3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g - 1 + 1 + 38*g.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -43653*v**2. Let x(z) = 132*z**2. Give h(x(o)).\nAnswer: -760609872*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*r**3 + 0*r + 158*r**3 - 86*r**3 + 0*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*n = a + 32, -a = -5*n + 4. Let k be -26 + a + -1 + 76. Let w = 113 - k. What is the least common multiple of 7 and w?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 2, s: 2, d: 5, y: 2, q: 1}. Give prob of picking 1 d and 1 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d + 40. Let c = 122 + d. What is the greatest common factor of c and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p + i + 276797, 5*i - 15 = 0. What is p rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/132*(-8)\/(-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 52*y - 24773 - 237597. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = 111 + 609 - 150 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -85703785, -85703790, -85703795, -85703800?\n\"Answer: -5*o - 85703780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 30. Calculate the greatest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 6 = -v, 19 = -5*v - h + 58 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -13. Let v(n) = -n**2 + 7*n - 6. Let p be v(g). Let u be (-4)\/p - (-33)\/7. Which is the third smallest value? (a) u (b) -4 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away -5008?\nAnswer: 5008.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126413819.\nAnswer: 2393, 1306483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1079)\/(-91) - 1\/(-7)) + 2486\/(-198).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.8 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 31*l - 448 - 2762. What is the remainder when 195 is divided by l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.07.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33332 (base 4) to base 11\nAnswer: -84a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 4*j**2 + 1. Let u(x) = -x**2 + 7*x. Let g be u(8). Let q be (2\/3)\/(g\/(-36)). Calculate the remainder when 37 is divided by p(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 1556*(-3)\/(-12). Let p = o - 380. What is the closest to 3 in -4, p, -0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*y + 5*y + 2*y**3 - 23*y + 18*y - y**2 to i*y + s*y**3 + h*y**2 + v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52101901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 + 42*a + 149. Let x(n) = 10*n**2 + 83*n + 300. Let o(l) = 7*f(l) - 4*x(l). Find the first derivative of o(h) wrt h.\nAnswer: 4*h - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1536 (base 9) to base 5.\nAnswer: 14132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 - 133)*(-3 + 36*k + 32*k - 61*k).\nAnswer: -882*k + 378","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13)*4 + 1)**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**7\/245 + b**6\/120 - 3*b**5\/140 + b**4\/84 - 34*b**2. What is f in n(f) = 0?\nAnswer: -2, 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + 58.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 19.95, -4, 3, 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4851 + -4759. What is the smallest common multiple of 552 and t?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6752131 to the nearest 100000.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79054062*u**4 - 2*u**2 - 8227*u - 1138?\nAnswer: 948648744*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 2. Suppose -9 = s*h + 3. Let x = -37 + 37.5. Which is the nearest to -4? (a) h (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + -8 + -6 + 6 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -0.01469?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let x(u) = -2883*u**2. Calculate x(b(m)).\nAnswer: -2883*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (310*1\/(-40))\/(54\/(-144)*(-2)\/(-6))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 19*p**2 + 72*p. Let b be q(-4). Suppose -2*x = -0*x - 544. What is the greatest common factor of b and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*h - 911 - 579 = -80 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bavclvlbvby. What is prob of picking 1 b and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36702 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 565, 844?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j - 8*j + 36*j + 10*j + 43*j + 5*j.\nAnswer: 57*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5\/6, 1\/3, -0.4, -8927.\nAnswer: -8927, -5\/6, -0.4, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-45)*-20*(-63)\/5\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 258*u = 10988 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -0.0732.\nAnswer: -0.6732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**2 - 12*z**2 - 19*z**4 - 6*z**4 wrt z.\nAnswer: -600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2\/2 + 18375*n + 36755\/2 = 0 for n.\nAnswer: -1, 7351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.08 + 0.7. Let f = -0.08 - u. Let t = 64.9 - 65. Which is the nearest to t? (a) -0.1 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - -22. Suppose 148*s = f*s - 50. What is the tens digit of (-4)\/s + 8204\/140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-30 - (-19 + 10)) - -25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3 + 45*c**2 + 105*c + 55 = 0. Calculate c.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3*4\/(-60)). What is the third derivative of 44*q**j - 75*q**5 + 50*q**5 - 3*q**2 - 4*q**2 wrt q?\nAnswer: 1140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-559)\/(-129))\/((-533)\/(-369)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)*b**(-17\/2))**47 assuming b is positive.\nAnswer: b**(-4371\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -3\/16 (b) 12 (c) -0.3 (d) -2972\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86, 256, 512, 848, 1258, 1736, 2276?\n\"Answer: -y**3 + 49*y**2 + 30*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*f + 40 = 197*f. Solve 2*n = -f, -6*k + k = -n + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + (sqrt(252) + (-3*sqrt(252) - sqrt(252)))*5*-6)*3)**2.\nAnswer: 466560*sqrt(7) + 293934096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -14, -36, -78, -146, -246?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4472\/3 - 1489. Sort 0, 1, -2\/5, u in ascending order.\nAnswer: -2\/5, 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101 + -34269?\nAnswer: -34168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -1\/2*o**3 + 0 + 1\/20*o**5 - 3\/2*o**2 + 8*o - 1\/3*o**4. Let j be u(5). Solve -3 = -2*a + j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6839 + 921. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 89\/210*g**7 + 0*g**4 + 3\/2*g**3 + 0*g**5 - 51 - g**2 + 0*g + 0*g**6. Find the first derivative of q(a) wrt a.\nAnswer: 356*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*w + 4*w + 12*w + 42*w + 4*w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 3*y**2 - 6*y + 12. Let t(q) = 3*q**3 + 2*q**2 - 1. Let w be t(1). Let z be g(w). Put -3, 1, -21, z in decreasing order.\nAnswer: z, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74*228\nAnswer: 16872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423.7 + -507.7. Which is the closest to s? (a) -3\/5 (b) -4\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77053092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0 - 6 - 2*r**2 - 11. Let o be s(0). Let l(m) = -2*m - 32. Let v be l(o). Solve -6*q = -q - 5*y - 5, -v*q = 2*y + 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20035*-4881\nAnswer: 97790835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15068*h**3*v**3 + h**3 - 63*h**2*v**3 + h**2 - 4*h*v + 297*h - 18*v wrt v.\nAnswer: -90408*h**3*v - 378*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*j - 4, -2*t - 4*j = -0*t - 6. Let z = 5 + t. Put -5, -1, z in increasing order.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 148. Let q = p - -57. Solve q = -5*z + z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8633 is divided by 240.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*c + 104 = 7*c, -3*c + 84 = 4*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -36*n + 27. Let b(c) = -c**2 + 13*c - 44. Let o be b(6). Let a be t(o). What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -21*u + 8. Let c be h(-6). Suppose c*b - 51 = 131*b. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.34, 2\/31, -4, -0.1, 4\/77 in decreasing order.\nAnswer: 0.34, 2\/31, 4\/77, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86131 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10134 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 15*i - 11*i + 176 = 0. Suppose c = -2*c + 306. Suppose v = -q + 26, -5*q - 2*v + c = -4*v. Is i greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72*96\/648*(-30)\/8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 109 + 373 + 47 = 22*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 22 - 18 = -3*z, -4*z - 20 = -2*x. Suppose x*y = 36 + 14. Suppose -y*j - 4*r + 1204 = 0, -j - 46 = 5*r - 291. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 24*m + 352. What is s(4)?\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138\/(-30) - -5 - 5034\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l + 7. Let n(c) be the first derivative of -c**3\/6 + c**2\/2 + 31*c + 31. Let t(y) be the first derivative of n(y). Determine a(k) - 6*t(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1.3\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 + (3 - 5). Let z = j - -1. Let b(g) = 60*g + 2. Is b(z) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.364990205 to 4 dps.\nAnswer: -3.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12881, -25940, -39181, -52610, -66233?\n\"Answer: -a**3 - 85*a**2 - 12797*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -c - 6, -c - 114 = d - 57 - 60 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, k: 2, f: 1, e: 4, o: 2}. Give prob of picking 1 f, 2 e, and 1 m.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -79279a - 1?\nAnswer: -79279b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 3. Is 13 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1346818 and -24.\nAnswer: 3.2323632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 + 5*r**2 - 5. Let z(v) = -16*v**3 + 33*v**2 - 33. Let m(y) = -8*y**3 + 16*y**2 - 16. Let g(w) = -9*m(w) + 4*z(w). Give 5*g(u) + 12*o(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-5070)\/1521).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -3*t**4\/2 - 5*t**3 + 160*t - 59. Find the first derivative of x(j) wrt j.\nAnswer: -18*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 13 = -3. Let m(j) = -2*j - 2 + b + j - j. Give m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10)\/(-3)*(-78)\/(-65).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -262. Let f(u) = -3*u. Let z(j) = 2*f(j) - q(j). Calculate the smallest common multiple of 15 and z(37).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2*(-6 - 1). Let a = j - -42. Suppose -19 = -4*i - 3*g, 0*g - 5*g - 15 = 0. Calculate the greatest common factor of i and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let y be 0 + 1\/1 - 1. What is the biggest value in y, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.5 (c) 11\/3 (d) 0 (e) 0.012 (f) 5 (g) -14\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001111 (base 2) in base 4?\nAnswer: 20033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s + 18 = 0. Let p(y) be the third derivative of y**4\/24 + 2*y**3\/3 + 2*y**2 + 101. Let v be p(s). Let r(u) = u**2 - 2*u - 2. Calculate r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - 3*c)*((3 + c - 3)*(-2*c + 3*c - 3*c) - 2*c**2 + 3*c - 3*c + 131*c**2 + 473 - 473).\nAnswer: -127*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b - 182400 = -64*b - 119*b. What is the highest common divisor of b and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/11 + (-1207)\/11781*7. Let w = 4 + -3.4. Which is the fourth biggest value? (a) j (b) 3 (c) w (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*h**5 - 2770*h**4 + 12045*h**3 + 90820*h**2 - 38100*h - 18000 = 0. Calculate h.\nAnswer: -4, -2\/7, 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 + 52. Let z = 43 + y. Let s = 2 - 2.2. Put 5, z, s in increasing order.\nAnswer: z, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 1:28 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0861363 take away -1241306?\nAnswer: 1241307.0861363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 15 = 0, 2*v - 2 = -k + 3*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 380 = 4*n - 3*g, -2*n + 212 = 3*g. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 1536*b**3 + 442368*b**2 + 56623104*b + 2717908992.\nAnswer: 2*(b + 192)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0924? (a) 0.4 (b) 2\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - i**2 - i + 1. Let l be h(1). Let r = l - -4. Let x = r + 1. Solve 3 = n + x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {f: 1, j: 2, c: 1, r: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 265 = 226. Suppose -m + 3*m = g + h, -4*g = 5*m - 13. Solve -10 = v - m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7701 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 22. Let s = -64 - -55. Let n be o(s). Suppose -3*f - 116 = -w, -5*w + n*f + 11 = -599. Does 28 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-2 - 0) + 79 + -74)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 1, 8\/5 in decreasing order.\nAnswer: 8\/5, 1, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294462902?\nAnswer: 2, 41, 1237, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + 1*sqrt(1377))*6)**2 + sqrt(1377)*-2*-3 - (3 + ((-1*sqrt(1377) + 0 - sqrt(1377)) + sqrt(1377))**2)) + 3.\nAnswer: 54*sqrt(17) + 196911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 29*d. Suppose d = -v + 2*b + 1 + 2, 0 = 2*v + 2*b - 18. Let w be (15 - 1)\/(4 + -2). Calculate the highest common divisor of w and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 350\/3*u**4 - 104\/3*u**2 - 1420\/3*u**3 + 64 + 688\/3*u = 0.\nAnswer: -2\/5, 6\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1217456 + -541.16.\nAnswer: -541.2817456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a - -123?\nAnswer: 18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*68\/84 - (3 + -8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -241062 divided by -1\nAnswer: 241062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.035 - 0.165. Let z be (10\/(-15))\/((-7)\/(42\/(-22))). Which is the nearest to 0? (a) z (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1169 + 1183. Calculate the lowest common multiple of 2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4068 = -144*o + 483*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.514502 millilitres in litres?\nAnswer: 0.001514502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - -0.34. Let p = -1285\/11 - -117. Let y = -2.3 + 2.3. Which is the closest to y? (a) p (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 2. Let g be 133\/14 + o\/2. Suppose -3*m - g = -3*p, -2*p = 2*p - 3*m - 14. Solve 10*q = p*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/464 (b) -4 (c) 582.1 (d) -19\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (468\/27)\/13*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 8*d - q - 129 = 0, q + 101 = 4*d - 2*q for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 588117641 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/70 + (-2 + 3)\/(5\/3). What is the nearest to -1\/4 in -134, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*v**2 - 731*f**3*v - 2*f**3 - 363*f**2 + 7775493*f*v**3 + 2 wrt v.\nAnswer: -6*f**3 + 46652958*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:36 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 - 2*l + 1. Let n be q(-2). Suppose 2*x - 5*y + 260 = -3*x, 2*y = -n*x - 225. Let o = -32 - x. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 30 - 10. Sort -3, 4, z in increasing order.\nAnswer: z, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4\/3 - 6329*z**3\/3 + 6339*z**2 - 19027*z\/3 + 6344\/3.\nAnswer: -(z - 1)**3*(5*z + 6344)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2504 + 2509 + 3*h**2 - 5013 - 250*h**3 to the form d*h + w*h**3 + j*h**2 + x and give w.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - t + 70 = 0, 21*h = 17*h + 5*t + 112. What is the remainder when 86 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {b: 1, f: 1, t: 1, q: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 5:46 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023994 to four dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**3 - 44*l + 0*l**4 + 13\/10*l**5 + 0 + 13*l**2. What is the derivative of b(q) wrt q?\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Let j(u) = -u + 1. Calculate the remainder when i\/9 - 23\/(-3) is divided by j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c + 4823 = -60*c - 229*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 u, and 1 c when three letters picked without replacement from {o: 2, c: 2, y: 4, u: 5, a: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5293665\/1081 + -4897. Let n = 50703\/14053 + x. Calculate the common denominator of n and 39\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdd when three letters picked without replacement from {d: 3, s: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*x**5 + x**2*y**2 + 4*x*y**2 - 124*y**2 + y wrt x.\nAnswer: 3940*x**3 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 176 = 8. Let z(h) = 17*h - 219. Let p be 392\/(-112)*4\/(-1). What is the remainder when n is divided by z(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -418 - 37?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*v = 28, -2*o = -2*v - 16 - 2. Suppose 2*d = -2*h - 11 - o, -29 = 4*d - h. Let t(j) = -j**2 - 10*j - 6. Determine t(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9637 - 28934\/3. Suppose 0 = -x - 0*x + 1154. Let i = x - 3410\/3. Calculate the common denominator of i and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:32 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*s - 44, 0 = 3*i - 0*s - 5*s - 58. Suppose 0 = z + 2*t - i, 4*t - 86 = -3*z + 6*t. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6140, 6139, 6138, 6137, 6136?\n\"Answer: -x + 6141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 2 a when four letters picked without replacement from {a: 7, y: 2, c: 4}.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x + 28. Determine m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*n**3 - 423*c*n + 5*c - 8*n**3 + 1521315*n**2 + 58553*n wrt n?\nAnswer: 6*c*n - 48*n + 3042630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 4:44 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306.33 + 306. Let k = y - -2.33. Sort k, 0.006, 0.4 in decreasing order.\nAnswer: k, 0.4, 0.006","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - n**2 - 2*n + 2. Calculate h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10986 at least as big as 65911\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3)*1\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -8*n - 72. Solve -n = 3*a + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6042 - -0.2375. Round v to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/97 - -482\/291. Let u = -113127\/4 + 51481461\/1820. Let l = -3\/91 - u. What is the common denominator of x and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 5 - 36*g - 6 as m*g + w and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 2 + 14*g + 7. Let u(j) = 48*j + 14. Let p(o) = 6*u(o) - 17*v(o). Does 19 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 780*f + 96724. Determine n(-124).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16459 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose t = 3*c - 8*c + 161, 4*t - 116 = -4*c. Suppose -2*h - c = -5*l, h = 3*l - 4*h - 35. Solve -l*v - i = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 5320?\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x**3 - 8*x**2 + 27*x - 36. Determine o(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*m + 2, -3*m = -2*a - 4*m + 4. Let g be 0\/(-2*(-2)\/(-4)). Solve g = 2*c - a + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**7\/4200 - l**6\/300 + 3*l**5\/200 - l**4\/30 + 12*l**3 + 2*l - 247. Let a(f) be the third derivative of h(f). Factor a(k).\nAnswer: (k - 4)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 12*k**2 + 348*k + 2195. What is x(-6)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5500735.069 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 10) to base 5.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + -2*(-4 - -1). Find the second derivative of 3*d**3 - a*d + 10*d + 10*d wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 45.23. Let r = -0.03 - w. Suppose 13 = -5*q - 2*k, -q + k = -k - 7. Which is the biggest value? (a) q (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18840148 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j + 400. Let r be j\/(-12) + 1\/(-3). Put -2, -4, r in descending order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 divided by -61?\nAnswer: -1503\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-5265)*7\/(-7))\/(32\/400)\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = -j - 22, -5*d + j = 26. Let y be 2\/(-18) - d\/18. Suppose 5*q - w + 14 = 0, -5*w + 5 - 25 = 5*q. Sort 5\/3, y, q in ascending order.\nAnswer: q, y, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 5. Let i be l(-9). Suppose -2*p = -j + 5, 3*j + 5*p = 3*p + 31. Suppose 0 = 2*t + 3 - j. Put -5, t, i in descending order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + (-5 - (3 + 9)) - 2) + 2 + 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-277)\/125758*978\/(-96) - (-2)\/(-64).\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -114, -296, -642, -1206, -2042, -3204, -4746?\n\"Answer: -9*q**3 - q**2 - 6*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5\/2 - 1\/4*o**2 + 7\/4*o = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2. Let g = -21 + 25. Let w(l) = 10*l**2 - 4 + g. Give v(w(p)).\nAnswer: 400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20938 - -32938. Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/5)\/(((-84)\/(-302150))\/7). Let g = -5021 - v. Find the common denominator of g and 21\/17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56118 is divided by 1124?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810 - 601 + 2008 - 597 + 222*b**3.\nAnswer: 222*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 153 + 87 = 0. Let g = -27 + s. Suppose 8 = -2*c, g*x - 60 - 185 = 5*c. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -219 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqkkfqfq. Give prob of picking 2 q, 1 k, and 1 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*s**2*x + 31*n*s**2 + 197033*n*s*x - 1683*n + s**2*x - 2*s**2 wrt x?\nAnswer: 2*n*s**2 + 197033*n*s + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -594847 divided by 54077\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 + 17.4154671.\nAnswer: 45.4154671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let k(q) be the second derivative of -11*q**4\/12 - 7*q. Determine t(k(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*r + 7896 = 292*r. Does 47 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1588*z**3 + 2*z - 15136.\nAnswer: -4764*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 1. Let l(u) = -2*u**3 + 7*u**2 + 8. What is 2*l(o) + 14*v(o)?\nAnswer: -4*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r = -258 - 96 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88986179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*a + 60 = -7, -l - 2*a + 35 = 0. Suppose -4*q - 25 = -l. Sort -1, -3, q, 5.\nAnswer: -3, -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5485959, 10971912, 16457865, 21943818?\nAnswer: 27429771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8154 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + w + 442 = -0*b, -2*b + 2*w + 224 = 0. Suppose 0 = -5*c - 5*j - b, 0*j = c - 2*j + 10. Let q be c*(24\/9 + -2). Is -11 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**3\/18 - t**2 + 133*t\/6 - 613. Suppose l(h) = 0. What is h?\nAnswer: -19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157095 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1 + 10 + -235 + 227).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 34*n**3 + 8*n**2 - 8. Let s be 40\/(-700)*-119 - 9\/30*-4. Let w(f) = 11*f**3 + 3*f**2 - 3. Calculate s*w(x) - 3*r(x).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.66 + -23.56. What is the smallest value in 3\/2, -12, w, -2\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Suppose -3*s + 17 = s + v, 4*v - 11 = 3*s. Suppose -c - 4 = -s*c. Let l(d) = 0*d**2 - d**2 + 0*d**c. Calculate k(l(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10*2\/2)\/(-1). What is the first derivative of 6 - b - 2*t + 3*t wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1026*o**5 - 2*o**4 + 3455*o**2?\nAnswer: -61560*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 8:48 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/12787341 or -1?\nAnswer: -2\/12787341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1818, 3645, 5472, 7299?\n\"Answer: 1827*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0628 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + -b?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + -2 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 - 707\/5. Do -5\/3 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 3. Let l(w) be the first derivative of 2*w**2 - 13*w - 5. Let b(t) = -2 + t + 0*t - 2. What is j*b(g) + 2*l(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + -177. Let g(r) = -r**2 + r. Let w(z) = -z**3 + 8*z**2 - 5*z. Determine q*g(x) + w(x).\nAnswer: -x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101593 is divided by 14513.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 61 - f**4 - 11353*f**3 + 11353*f**3 + 2*f**2. Factor b(u).\nAnswer: -4*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6\/4 + -3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 + -2969.6526781?\nAnswer: -2969.6656781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2458.37521 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -60 + 12. Calculate the smallest common multiple of 20 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-5\/14))**(-23\/2)*(l\/(l*l\/l**(-1\/2)))**(1\/99)*(l**0)**12 assuming l is positive.\nAnswer: l**(-3809\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38584374461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 18*g + 37*g to o + m*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 32 - 152. Let p be ((-6)\/4)\/(j\/(-1424)). Let n = p + -52. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1793 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -642240 or -642233?\nAnswer: -642240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0.386.\nAnswer: 0.386, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 1:03 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - d + 6. Let v = -10 - -7. Let k be y(v). Solve -w + 2 = -k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 129 = 624. Let z = -75 + u. Suppose -z = -6*r + 2*r. Calculate the least common multiple of r and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) 940 (c) 5 (d) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -8270*i**3\/3 + 592*i + 12294. Differentiate n(h) wrt h.\nAnswer: -16540*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 680?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let p(c) = -c**2 - 3 - 3*c**2 + v*c**2 - c**2 - 5*c. What is p(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(((-1)\/(-100))\/((-69)\/(-552)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3*(40\/(-162))\/(-10))\/(-46 + 44)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2079 - 2079 - 190*k**3 - 1494*k**3.\nAnswer: -1684*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 19, 0.4, -0.08, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19125 + 1?\nAnswer: 19126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 510*h**2 - 2583*h + 20795. Calculate s(250).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 544, 537, 530, 523?\n\"Answer: -7*s + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8105193 or 1?\nAnswer: -8105193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.822411 millimeters to kilometers.\nAnswer: 0.000003822411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 5*k**2 - 2. Give n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 17*d + 198. Let n be z(8). Let w(m) = -1 + 21*m - 3 + 3. Determine w(n).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 2 + 198 = 0. Suppose -t*d = -69*d + 12803. What is the remainder when d is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 6*a - 3*a + (5 + 40 + 1)*(2 - 4 + 1)*(0*a - a + 2*a))*(-1 - 2 - 2) to the form p + r*a and give r.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12696748223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5 - 19. Let u = -11 - x. Let q = -126 - -129. What is the third biggest value in u, q, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, w: 1, c: 4, v: 5}. What is prob of picking 1 c and 3 v?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-675)\/50 + (294\/(-3))\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u**3 + 4*u**4 + 8*u - 9 + 9 - 19*u**2 - u**2 - 8*u**4 = 0 for u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*-4*(-6)\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39580.\nAnswer: 2, 5, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 4*f**2 - 34*f + 27. What is the lowest common multiple of k(8) and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2, -3*m + 7*w = 3*w + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19369 greater than or equal to -19370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*a - 359 = -6*a - 6539. Let z = -7 - 13. Let h = z - a. Solve h = -3*r + 7*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1296 = l - 5*l + 1241, 4*l + 52 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 313 (b) 0.18 (c) -4 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z - 18. Let y(m) = -13*m + 20. What is -6*r(a) - 5*y(a)?\nAnswer: -7*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51560646?\nAnswer: 2, 3, 773, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llroojfojlovfoljf. What is prob of sequence llfl?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -566 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:08 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -140. Let k be (0\/3 - -9) + -2. Solve -k - m = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21*w - 27. Is h(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 64530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b + 2*b**2 + 2 - b + b + b**2 + (0 + 2 - 4)*(-2*b**2 + 3*b**2 - 4*b**2).\nAnswer: 9*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 + -217.872. What is q rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/8)\/1)\/(5\/(-50)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3 + 3. Let z(s) = s + 27. Let v be z(-23). Suppose 25 = -5*b, -v*o - 7*b + 7 = -2*b. Solve -n*g = -0*g + o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 31232212?\nAnswer: -31232223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099871678 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 - 11440*v**2 - 229100*v - 1146000 = 0. What is v?\nAnswer: -10, 11460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 688 - 5519\/8. Find the common denominator of j and 8\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.6, 25, 14, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*p + 5. Suppose -2*x - 4*s = 2, -3*x - 2 = -s - p. What is the third derivative of 4*c**2 + 3*c**3 - 4*c**x + 3*c - 3*c wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.199383 nanoseconds?\nAnswer: 0.0000000000001411965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (78*z**2 + 50*z - 50*z)*(15*z - 1 - 35*z + 21*z) + 3*z**3 + z**3 - 3*z**3 in the form o + i*z**3 + v*z**2 + q*z and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*k + 92, -5*k + 2*k + 60 = -3*b. Suppose 0 = -d - 5*s - k, -4*d + 0*s = 2*s. What are the prime factors of (-5 + -2 + d)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + r + 1. Let p(y) = 7*y**2 - 3*y - 1. Suppose b + 4*s - 27 = 0, -3*b + 4*s + 56 - 7 = 0. Suppose 0 = 10*f - b + 69. What is f*z(j) - 2*p(j)?\nAnswer: j**2 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -676 - -129. Let v = 1083 + z. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -11. Let a be (-30)\/v + -3 - 4. Suppose -5 = 2*f + b, 3*f - a*b = -4*b - 5. Solve u + 2 - 4 = f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*t**2 - 181*t**2 + 11*t**3 + 88*t**2 - 3*t**3.\nAnswer: 8*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 6 = 0. Suppose m = -k + 2. Let p(o) = -2*o. Let x be p(-2). Sort k, -3, x.\nAnswer: -3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0*o)**(5\/18)\/(o*o\/((o*o\/(o*o\/o**(-12\/5)))\/o*o)*(o**(-2)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-38\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 69 = -4*i. Suppose -19*q + 393 = 51. What is the smallest common multiple of 2\/8 - i\/4 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57844*g**2 - 14470*g**2 - 14465*g**2 - 14472*g**2 - 14433*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/6)\/((7*51\/(-119))\/((-6)\/(-12))).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g + 3. Let a = 38 - -19. What is the remainder when r(10) is divided by 38\/a - (-110)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385 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: In base 6, what is -352 + 152220?\nAnswer: 151424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from amagaaxxigxamxam.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 449500 and 82925.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191733 not equal to 192377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -65. Let j = -2 + w. Which is the second smallest value? (a) j (b) -2\/9 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/5, -3, 1, -0.3 in increasing order.\nAnswer: -3, -0.3, -1\/5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let n(r) = -5*r. Let v(p) = -2*n(p) - 11*x(p). Let s(h) = 4*h. Calculate s(v(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 546910\/1207 greater than 452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424.8372 hours to nanoseconds.\nAnswer: 1529413920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + b**4 - 2*b**4 + b**4 + 2*b**4 - 4*b**4 + 2*b**4 + 0*b**4 - b**4 + (0*b + 0*b + 2*b**3)*(-3*b + 3*b - 2*b) + b**4 + b**4 + 0*b**4)*(0 + 3 + 0).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-8)*-4 + 5. Suppose -b*z + 6*z = -3*n, n - 12 = 3*z. Solve -3 + 7 = n*y + 5*k, -2*y - k + 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3470 and 164830552?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.6 (c) -1\/2 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = d - 27. Let n be (-906)\/(-30) + (d\/(-15) - -1). Suppose i = -5*i + n. Solve -3*j + 15 = -2*k + i*k, j + 3*k = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -2. Let l be (0 + -1 - v) + 0. Let q be (-1)\/((-4)\/(-1) - l). Is -1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-21)\/(-92))*(-9)\/(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 52458*q - 35146857. Calculate l(670).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*b**5 + 7317*b**2 - 7317*b**2)*(-16 + 2 - 52).\nAnswer: 7458*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*n**3 + 1 + 7*n**2 - 128*n**3 - 266*n**3 - 291*n**3 + 95*n**3 to q + p*n + i*n**2 + k*n**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248 and 114?\nAnswer: 14136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*a - 5*m - 16, 8 = 3*a + m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212 - -318. What is the remainder when p is divided by 3\/(-1) + 42 + (-132)\/11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 6*f + c - 467, 4*c + 964 = 4*f. Calculate the least common multiple of 24 and f.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -42. Let t = 14 + y. Suppose -5*b = 5*a - 50, 11 = t*b - 5*a - 11. Solve 0 = 5*f - 6 - b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w - 3)*(0*w**3 + 11*w**3 - 6*w**3) + 1 + 153*w**4 - 304*w**4 - 90*w**2 + 156*w**4.\nAnswer: 10*w**4 - 90*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**4 - 2*o**3 - 442 + 442 + 3*o**2 - 3*o**2 - 2*o**2 + o to x*o**4 + h*o**3 + g*o + d + u*o**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 5 - 6*t**3 + 3 - 2*t**2 - 2*t + 1. Let c be y(-1). Let o = -4 - -1. Sort o, c, 1 in increasing order.\nAnswer: o, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*u = -3*n + 200*u + 29, -4*n + 35 = n + 5*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**3 + 3*g**2 - 43*g. Let d(b) = b**3 + b**2 + b. Determine 3*d(o) - n(o).\nAnswer: -7*o**3 + 46*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 534296 - 534169.9886. Let q = 0.026 + 125.974. Let l = o - q. Round l to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + -2 - (-15 + 14 + 5 + -10 + -1)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 5*j**2 + 4*j - 8. Let d be p(-6). Let s be (0 - -1) + d\/2. Find the second derivative of x + x - 3*x**3 + 4*x**s wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -28282247 less than -28282240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/(-2))\/(2\/4). Let r be ((-28)\/(-6))\/((-4)\/(-6)). Let u = f - r. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Suppose j*d + 2*q + 2*q = 7, 4*d + 3*q = 5. Let l = 42 + -44. Is l at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1771665434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/25, -0.4, -10, -44, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 88 = -a, 64 = 8*u - 4*u - 4*a. Solve -u*r + 68 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2149380 divided by -45.\nAnswer: -47764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*4 - sqrt(468)*-2)\/(sqrt(40)\/(sqrt(120)\/(sqrt(12)*-2 + sqrt(12)))).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 9\/5443256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 42 = 2*d, -4*d - 3*k - 2 + 53 = 0. Let i be (40\/25)\/(3\/d). Calculate the remainder when -6 + i\/2 + 18 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(300) + -1 - sqrt(300))**2 - (sqrt(192)*2 + (sqrt(3) - (sqrt(363) + -3))).\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) -5 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-600)\/(-66)) + (-24)\/(-22).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/(-294))\/((24\/(-14))\/(-3))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/2, 3, -8, 624, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24701\/2710 - 4\/271. Find the common denominator of (89\/(-44))\/((-2)\/4) and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 2. Let k be s(1). Suppose 0 = -2*t + k + 12. Suppose -2*d - 3*d = -25. Solve t*l - d*l = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 20*t**2 + 135*t - 16. Determine j(8).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13369680, -13369640, -13369600?\nAnswer: -13369560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - 5*v + 40, 2*u - 21450 + 21454 = 2*v for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 737781367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*a**5 - 148*a wrt a.\nAnswer: 1980*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1240 and 496?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.465863cm in meters?\nAnswer: 0.04465863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/3 + (-196)\/(-20))\/((-3)\/10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151955986 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-6)\/o)\/o*o*o**10*o*o*o)\/(o**(6\/11)*o**(2\/25)) assuming o is positive.\nAnswer: o**(1753\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = k + 50, 0*n - 2*k + 8 = -2*n. Do -6 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2)\/(396\/264*28\/6 - -32)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 30. Suppose -6*p - l*p + 60 = 0. Solve z - 5*q + 2*q = -13, q = -p*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24777 - -24894. What is the greatest common factor of 387 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(w**4 + 470*w - 22*w**2 - 216*w - 249*w) - 2*w**4 + w**4 - w**4.\nAnswer: -3*w**4 + 22*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -4 (c) -0.3 (d) -2693 (e) 5642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 7. Let d be (-48)\/(-5) - n\/20. What is the highest common factor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -309973 and 0.5.\nAnswer: -309972.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/12 - 11*r**3\/6 - 12*r**2 - 239*r. Determine o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 5*q - 3. Let t be l(6). Suppose -5*y + 33 = t*k, -77 = -5*k - 2*y + y. What is the greatest common divisor of 32 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -37. Suppose q*g - 146 = 36. Let i = 29 - g. Solve -12 = 6*j - i*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1780*t**3 - 4*t**2 - 5*t + 4. Let g be o(-2). Suppose 3*a = g + 34185. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/11, -7543\/3, 0.5, 0, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*-24912.5\nAnswer: 74737.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 446 = 34. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -408.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from rkjjzrrjjfjrjjrrz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -81. Let o(c) = 35*c - 1. Let d be o(1). Suppose 0 = -4*f + 18 + d. What is the remainder when t is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 25 + -19 - (-3 + 2) - 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c**3 + 82*c**2 + 17*c + 8. What is i(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.0655.\nAnswer: 0.01965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34135229 to the power of 1\/2, to the nearest integer?\nAnswer: 5843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 5042269 and 5042251 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from ufjufjfjjffj.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011 bigger than 373489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*h + 4779 + 9909 = -635*h for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.013 times -4209?\nAnswer: 4263.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(64 + 1358\/(-21))*1\/2. Let 95\/4*d + n*d**2 + 75\/2 - 5\/4*d**3 = 0. What is d?\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74851 plus -0.05?\nAnswer: -74851.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 22*l**2 - 42*l + 268. Determine d(13).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00784 + -166.99216. Which is bigger: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 89515*r - 33210063. Determine t(371).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**9\/252 - q**5\/30 - q**2 - q. Let k(m) be the first derivative of u(m). What is the third derivative of k(v) wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -39*c**5\/40 - c**4\/6 + 26*c**3 + 204. Let m(g) be the third derivative of y(g). Differentiate m(q) with respect to q.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -5.8\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 121496 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 27 = -0*r + 5*p, 5*r - 2*p = 14. Let o(m) = 26 - 8*m + 44 + 40 - 111. What is o(r)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626*u - 1626*u + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(228)\/(sqrt(24)\/sqrt(4)) - (sqrt(114)*-2)\/sqrt(3))\/(-4*sqrt(800)))**2.\nAnswer: 171\/1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-8)*9\/(-20)*6462. Let y = 12718 + w. Calculate the common denominator of -45\/32 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 39 + 13)*(k**3 + 2*k - 2*k).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.057, 0.3, 0.39, 4.\nAnswer: -2\/3, 0.057, 0.3, 0.39, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 65\/167298?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 5194.2\nAnswer: -2597.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 36*i + 23. Give f(-3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2924852 and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3359 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 - 1385*h + 12870 = 0.\nAnswer: -286, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let w(v) = 6*v + 1. Let f(i) = -o(i) + w(i). Let t = -145 - -147. Let l(d) = 24 - 2 + 36*d + t - 9. What is -15*f(z) + 2*l(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 2:10 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Let m(x) = -14*x**3 - 14*x**2 + 3*x - 29. Let q(p) = -5*p**3 - 5*p**2 + p - 10. Let n(l) = -6*m(l) + 17*q(l). Give n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.3. Let v(z) = z**3 + 6*z**2 + 7*z + 10. Let g be v(-5). What is the nearest to -2 in n, 1\/5, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/((sqrt(70)*3 + sqrt(70))\/sqrt(10)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + (-9 - -8) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w + 36*w)*(2 + 0 - 1)*(-38*w - 2*w + 140*w).\nAnswer: 4000*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 755698 to the power of 1\/2, to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -10\/68850537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*d - 271 - 18429 = 0 for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t - 26. Let w(a) = -a**2 - 60*a + 466. Let i be w(7). Determine s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026 + 1011 - (42 - 2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 + 146*o**4 - 2856*o**3 + 15584*o**2 - 26240*o = 0.\nAnswer: -164, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-3308)\/(-1100) - (-4 + 7))*175\/(-245)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 99 = -91. Let q = 0 + 3. Solve -x*c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u + 57. Let k be j(9). Solve 4 = -k*h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 794449 * -0.5\nAnswer: -397224.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 15, 3, -83, 69 in increasing order.\nAnswer: -83, 0, 3, 4, 15, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 = 2*n + 19. Let s = n - 493. Let a be (2\/(-20))\/(1\/(-2)). Is a bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866043?\nAnswer: 1866043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/10))\/i*i*i**3*(i**0\/i*i)**30)**(1\/86) assuming i is positive.\nAnswer: i**(37\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**2 - 3*k + 1. Let p be z(1). Is 3030\/p + (-7)\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*l - 15*l**2 - 13*l**2 - 4*l**2 + 31*l**2 - 448*l**3 wrt l.\nAnswer: -2688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-7052)\/(-6)) + 0. Let n = 1196 + v. What is the common denominator of -57\/28 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Let a = 56 - 50. Solve 20 = -5*f - 5*t, -y*f + a*t - 2*t - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 14*f**2 - 25*f + 31. What is the hundreds digit of c(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**4\/2 - s**3 - 3*s**2\/2 + 3403. Let d = 3 - 5. Calculate h(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/6 - 2*i**3\/3 + i**2. Let m be t(6). Solve -4*r + 0 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 651133 - 144?\nAnswer: 650656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3626046657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, s: 14}. What is prob of sequence gl?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 9 = b. Suppose -3*r - 240 = -b*i, 0*i + 5*r = -3*i + 144. Suppose 5*k - 283 = -i. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-5))\/((-3)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -4)*1*-1 + -3. Let p be 20\/120 + 350\/(-12). Let c = -26 - p. Sort -5, k, -3, c in descending order.\nAnswer: c, k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 44765400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 11 = y, -573*y - 3 = j - 575*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -8. Let p be 38\/w + 7\/35. Suppose -p*a + a = 12. Sort 3, 2, a.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(-2\/37)*z**(4\/3)\/z**5)\/(z*z**0*z*z*z**(-3\/2))**(-7\/3) assuming z is positive.\nAnswer: z**(-49\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 4. Let b be 9 - (1 + (-2)\/(-2)). Let w(z) = 0 - z + b + 10*z. Let g(m) = -7*a(m) + 4*w(m). Let x(n) = -8*n**2. What is g(x(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*j + 4*j + 113*j - 3320 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 17*d + 10)*(-d**3 + 3*d - 3*d) - 5*d**4 + 3*d**4 + 0*d**4 + (3 - 1 - 3)*(0*d**2 + 0*d**2 - d**4).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42816 + -29857. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/105 - 17*k**5\/60 - k**4\/3 - 5*k**2 + k. Find the second derivative of p(l) wrt l.\nAnswer: -24*l**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:51 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22708742 * -0.5\nAnswer: 11354371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*s - 26*s - s + 8*s - 113*s)*(-3 + 0 + 4) as u*s + k and give u.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 16*o**3 - 11*o**2 + 6*o - 10. Let z be (4 - 136)\/(-6)*(-1)\/2. Let x(b) = 3*b**3 - 2*b**2 + b - 2. Determine z*x(y) + 2*m(y).\nAnswer: -y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7839402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7263523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62, -63, -64, -65, -66, -67?\n\"Answer: -q - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1 - 0)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(136) + sqrt(136)))\/((sqrt(8) + sqrt(8)*1)*6) - (-3 + (sqrt(17) + (-2*sqrt(102))\/sqrt(6) + -1)**2).\nAnswer: -15 - 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55331661 - -5?\nAnswer: -55331655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -879 + 437. Solve 25*b + 4 = s*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.104 in 0.0836, 0.42, 2\/3?\nAnswer: 0.0836","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*n**2 + 957*n**2 - 1910*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/151 in 3\/7, 10.7, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 50498915575.6?\nAnswer: 50498915575.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, -964 in decreasing order.\nAnswer: 4, 3, -3, -964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008898 to six dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3 - 1082*b**2\/3 - 361*b\/3 = 0.\nAnswer: -1\/3, 0, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 235 = -3*d - 315, 5*n = 5*d + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*(o**(4\/5)*o)\/o*o)\/o))\/o**18*o**(4\/7)*o**(-5\/3))**27 assuming o is positive.\nAnswer: o**(-17856\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*1*sqrt(75) + sqrt(75))*1 + -4)*2*5*-5)**2.\nAnswer: -700000*sqrt(3) + 9227500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 2*c. Let a(f) = 7*f**2 + 5*f. Let s(t) = 4*a(t) - 10*n(t). Let d(r) = 9*r. Give d(s(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1342*-4.9\nAnswer: -6575.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/35 + 2)\/(6\/(-15))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 166.1154 minutes?\nAnswer: 9966924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*p**3 - 46*p**3 + 74*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -144\/37019, 2\/9, 0.01?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 56. Let r be 38\/209 - (-2)\/t. Let v = -121 + 121. What is the nearest to r in -2\/9, v, 22?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39043808?\nAnswer: 2, 41, 29759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p + 22. Let a(w) = 9*w - 10. Let v(n) = 9*a(n) + 4*t(n). Let i(o) = 2*o + 1 - 2 - 3*o. Let l be ((-2)\/3)\/(1\/3). What is l*v(g) + 5*i(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5097 and 16349477?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 407.283kg?\nAnswer: 407283000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-32)*t**38*t*(t*(t\/t**(-7))\/t)\/(((t**(3\/20)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/7 - 418*j**4 + 383158*j**3\/7 - 13717106*j**2\/7 + 38513040*j\/7 - 25176168\/7 = 0.\nAnswer: 1, 2, 69, 1322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a928 (base 11) in base 10?\nAnswer: 29070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/13)\/n**3*(n\/(n**(-9)\/n))\/n**(-1))**(-10))**34 assuming n is positive.\nAnswer: n**(-39440\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-3)*(-18648)\/194250.\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 - 3*u**3 + 1 + 4*u**3)*(-145*u**2 - 32*u**2 + 28*u**2) + 4 - 4 + u**5 + (2*u**4 + u**5 - 2*u**4)*(-3 + 2 - 1).\nAnswer: 893*u**5 - 149*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f**3 + 17942 - 35858 + 17916.\nAnswer: 67*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/11, 4, 0.3, -1, -7\/33, 1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**2)\/m*m)**22*(m\/m**(1\/5))\/(m\/(m*m\/(m\/m**(5\/4))*m*m)))**(-5\/4) assuming m is positive.\nAnswer: m**(359\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from ogaaoaaoogaa.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3.9, -0.2, 2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w + 40 = -44*w. Suppose -7 = 9*c - w*c. Does 23 divide (-5 - -51)*(-3 + c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011000 + 100111001?\nAnswer: 10010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96896*b*h - 1260126*h wrt b?\nAnswer: -96896*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13492 - -14122. Calculate the remainder when m is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 25*r**2 + 20*r. Let k(m) = -m**2 + 2*m**2 + 4*m - 3*m. Let v = 245 + -265. Let f be -3 - 8\/3*6\/(-4). Give f*h(a) + v*k(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 3. Suppose 35 = 4*q - 69. Let u(d) = -17*d**2 - 13. Determine q*r(z) - 6*u(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32574 + 59210. What are the prime factors of o?\nAnswer: 2, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-195)\/48*2 + 8 + 82\/(-16). Which is greater: m or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(14)\/sqrt(2))*-4 - (-3 + sqrt(7) + 1))**2.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3, 3, -0.5, 38 in decreasing order.\nAnswer: 38, 3, -2\/7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67\/596 + 41\/298. Suppose 0 = 5*m - 0*m. Is i equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a6 (base 13) in base 15?\nAnswer: ed2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let d(g) = -2*g**2 + 4*g + 5. Let v(b) = b + 1. Let w(i) = o*d(i) - 5*v(i). Give w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2 + 0)*1.\nAnswer: -2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-135)*(94 - (0 + 4)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2489862.\nAnswer: 2, 3, 414977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46567941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjhj when four letters picked without replacement from hgojdgjjhhjjgtttt?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h, -5*b + 24*h - 27*h = -46. Let x(m) be the second derivative of 0 - 7\/6*m**4 - 2\/3*m**3 - 1\/2*m**5 - b*m + 0*m**2. Find g, given that x(g) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-41220)*(-12186813)\/(-146). Let c = 2\/50151 + z. Let m = 42419\/17990 + -1\/1285. Calculate the common denominator of c and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 6. Let s be o(3). Solve 0*a = -5*g - 3*a + 16, -2*g - 3*a + 1 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -28632.26.\nAnswer: -28629.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 54462?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 1. Let f(m) = -m**3 + 2*m - 1. Let t be -1 + 3\/(3\/(-1)). Let u be f(t). Suppose -20 = 8*n - u*n. Give b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/72)\/((30\/(-6))\/30).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 293 - 133. What is the units digit of 9\/(-12) + w\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 7*x**2 + 0*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*l - 10*l + 20*l)*(-9 - 8*l + 9).\nAnswer: -376*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:52 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(704)*2)**2 - (sqrt(88) - (sqrt(88) + -4*2*sqrt(88)))\/(-3*sqrt(16)\/sqrt(2)).\nAnswer: 8*sqrt(11)\/3 + 180224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64502*o**3 + 86151*o wrt o?\nAnswer: 387012*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 206233 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*z + z + 13, 3*w = -2*z + 7. Let f(h) = -129*h + 4. Let k(i) = -i**2 - 19*i + 11. What is the remainder when f(w) is divided by k(-17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/6785 (b) -4 (c) 3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2035198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 317815.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -409.7 - -369.7. Which is smaller: 157 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.804 - 1.065748.\nAnswer: -0.261748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42801853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 15, -1, 5, 2 in descending order.\nAnswer: 15, 5, 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*a - 47*a - 50*a - 9 to n*a + h and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 15) in base 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 36*c - 198. What is j(41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344130414 (base 5) to base 7.\nAnswer: -16122510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkbbbkkkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:57 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {r: 1, x: 1, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -78961*z**5\/25 + 79523*z**4\/10 - 27071*z**3\/5 + 566*z**2\/5 - 4*z\/5 - 23. Solve n(u) = 0 for u.\nAnswer: 2\/281, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(294) - ((sqrt(294) - (sqrt(294) - (-6*sqrt(294)*-4 - sqrt(294)))) + sqrt(294)))\/(sqrt(24)\/(2*sqrt(108))))*1.\nAnswer: -966*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**3 + 2*j**2 - 3*j + 2. Determine z(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 n, and 1 x when four letters picked without replacement from fnaifnixfyi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 336827.8 years?\nAnswer: 33682.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -3. Let w be 3*(-1 + (-5)\/m). Suppose 25 = 5*a + 5*y, -w*y = -2*a + y + 5. Solve x + a = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 4.8. Let i(f) = 4*f**3 - f**2 - 3*f - 1. Let n be i(-1). What is the third smallest value in -5\/6, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.399 + 0.4. Let b = t + -3.801. Let u = 3.8000045 + b. Round u to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {a: 4, v: 2, q: 1, e: 2, h: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 204? (a) -2\/7 (b) -1 (c) -196 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74 and 12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 8. Let t be z(-6). Suppose 10*f - 158 + 108 = 0. Solve t*v - f + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 2 - -1) + 8 - (-128 - -136)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 c when four letters picked without replacement from ccqqkccakkckqxckqccc.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4652190313.\nAnswer: 383, 12146711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 - 3*m**4\/8 + 2*m**3 + 191*m**2. Let l be z(-9). Calculate the greatest common factor of 192 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**2 + 1. Let f(w) = 7*w**2. Determine n(f(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 9*d**2 + 6*d + 143*d**2 + 107*d**2 to the form s*d + b*d**2 + a and give b.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {g: 7, w: 1, o: 1}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -19892000 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9115.1 and -0.5.\nAnswer: -4557.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.97 - 17. Let o = -454 + 453.9691. Let w = l - o. What is w rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5, 9, -0.68818, -1, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3)*((-66)\/(-30))\/(36\/(-45)). Which is the third biggest value? (a) t (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2, -0.3, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 - -3.6. Let b = -4.6 - 0.4. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.359 - 102.359. Let a = -98 - i. Let v = 0.08 + -4.08. What is the closest to a in 2\/13, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.235476um in nanometers?\nAnswer: 9235.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -32. Let n be 4\/3*24\/h. Let k be 7\/(-4) + 3 + -1. Which is the third smallest value? (a) -0.6 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/120 - o**5\/20 - o**4\/6 + o**3\/6 + o**2. Let y(w) = w**3 + 2*w**2 - 3*w - 4. Let h be y(-3). Is f(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*q**3 + 181*q**3 - 71*q**3 - 53*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 + 8*r + 4. Let b(a) = -8*a**2 + 9*a + 4. Suppose y - 2*y - 6 = 0. Let l(c) = y*t(c) + 5*b(c). Let o be l(3). Solve -w + 8 = -o*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 1. Let u be t(1). Find the third derivative of u*x**2 - 52*x**3 + 3*x - 3*x + 50*x**3 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34531195 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-119) - 1446\/14. Let f = -409\/4 - w. Let a = 119\/90 - 11\/10. What is the second smallest value in a, -2, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3101 - -4408. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 6:05 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 108\/(-155) - 15\/(-25). Let a = -40\/93 - r. Let j = 28.2 - 24.2. What is the closest to a in 2, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 3, b: 2, g: 8, x: 1, r: 3}. Give prob of picking 1 r, 1 b, and 1 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 15*j**3 + 44*j**2 - 86*j. What is the derivative of q(m) wrt m?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 158846.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 3*sqrt(7) + -4) - (2 + (sqrt(7) - (sqrt(7) + -3)) - -2*sqrt(56)\/sqrt(8)))**2.\nAnswer: -28*sqrt(7) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 236 + -4?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.19 + -0.19. Which is smaller: c or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:14 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, b: 3, y: 9}. What is prob of sequence by?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930178120?\nAnswer: 2, 5, 17, 151, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-152)\/13 + (11 - (46 + -47)). Factor 4\/13 + 2\/13*w**3 - 2\/13*w - m*w**2.\nAnswer: 2*(w - 2)*(w - 1)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4268 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 9.228, 29 in ascending order.\nAnswer: 1\/2, 9.228, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*y + 5 = 0, -3*w - 4*y = y - 29. Let x(v) = v + w*v - 3*v + 0*v. Let p(h) be the first derivative of -h**2\/2 - 1. Give p(x(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/13)\/p)\/p**(1\/2)*(p\/(p*p**(1\/3)))\/(p**(5\/2)\/p))**3 assuming p is positive.\nAnswer: p**(-121\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 7*v - v + 5*v + 32*v**2.\nAnswer: 32*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -93, -101, -109, -117, -125?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 14*k. Let m be s(14). Suppose 3*r = -2*p - m*p + 15, 2*p + 20 = 4*r. Solve 3*l + 4 = -r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7335 - -11923. List the prime factors of b.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/((x*(x\/(x*(((x*x**(1\/10))\/x)\/x)\/x*x*x)*x)\/x)\/x))\/x)\/x)\/x**(-2\/25))**(-31) assuming x is positive.\nAnswer: x**(1271\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/30 - 7*w**4\/24 - 5*w**3\/6 + 48*w**2. Calculate f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from twaieeit.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*p + 9 = 0, -c - 23 = 2*p - 5*p. Sort 3, c, -3 in ascending order.\nAnswer: c, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408651*g + 121 - 17759*g - 121.\nAnswer: -426410*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99591 months in decades?\nAnswer: 0.00829925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4336 divided by 401\nAnswer: 4336\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5814 - -118?\nAnswer: 6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 11*y**3\/3 - 1196*y**2\/3 + 30124*y\/3 - 21280\/3 = 0?\nAnswer: 8\/11, 38, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (21\/3)\/(-72*(-15)\/(-8640))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1292 (base 10) to base 7\nAnswer: -3524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9*q + 56 = 0. Suppose 5*n - n = -s - q, 4*n + 20 = 0. Calculate the highest common divisor of s and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.2 (c) 17 (d) 18\/13 (e) 61\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - 1.52. Let o = r - -1.5. What is the biggest value in 0.03, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 425 - 291. What is the hundreds digit of (z\/6 - (11 + -8))*15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, r: 13}. Give prob of sequence wwr.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 21 + 78 - (6 + 52)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 33*u - 12. Suppose -g - 5*s - 6 = 0, 5*g - 3*g + 12 = -s. Let a be z(g). Let j = -107 - a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3850 + -346. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*g + 866 = -343*g + 368*g, 4*i = 5*g - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79413 by -4.\nAnswer: 79413\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*b + 2*s, b - 7*s + 12 = -3*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 1. Calculate g(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 85\/60 - ((-45)\/12 + 4). Let h(j) be the second derivative of 0 + 0*j**4 + l*j**3 - 8*j + 1\/5*j**5 + 0*j**2. Find the second derivative of h(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17*w + 73. What is the tens digit of r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -206*c - 7409. Give t(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqruj. Give prob of picking 1 u and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 996?\nAnswer: 12948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00571552215 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g**2 + 15 - 12 - 343*g + 343*g. Let y(w) = 28*w**2 + 10. Let v = 26 - 36. Determine v*m(r) + 3*y(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21443 + -0.235872. Round f to four dps.\nAnswer: -0.0214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 11 = 8*k - 4*k, 0 = -b - 3*k + 24. Suppose -7*f + b*f + r - 129 = 0, 3*f - 2*r = 197. What is the greatest common factor of 715 and f?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f. Let g(m) be the second derivative of m**3\/6 + 12*m. Give c(g(r)).\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - r + r + (-4 + r + 4)*(-33 + 24*r + 33) to the form o + k*r**2 + z*r and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 7\/(14\/4). Which is the third smallest value? (a) 5 (b) 0 (c) 4\/3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30025355*d**3*s**5 + 38*d**3 + 121530*s**2 wrt s.\nAnswer: 1801521300*d**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**3 - 13*l**3 + 2*l**2 + 2 - 3 + 2*l**4 - 13*l**3 to z*l + u*l**3 + k*l**2 + m + a*l**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -j + 510, -8*j + 7*j = 0. Let b = -99 + h. Solve 0*m + 3 = b*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*x + 235, 4*h - 8*h - 232 = 5*x. Let o = -28 - x. Let v = o - -169. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41156712 divided by -4?\nAnswer: 10289178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7189.359ns?\nAnswer: 0.00000011982265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 218 = 17. Suppose -3*u = m - 269. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3693183 minutes?\nAnswer: 22159098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260739840 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071709 divided by 8?\nAnswer: -1071709\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2333221013 (base 4) to base 3\nAnswer: 1110212202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41 and 600.28.\nAnswer: 246.1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2 + 634*t = 0.\nAnswer: 0, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 61 = -0*s - 2*s, s + 2*u = -28. Let d be (-11)\/72 - (-4)\/s. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -0.21 (c) -3 (d) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 5:00 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 447773766 to the power of 1\/2, to the nearest integer?\nAnswer: 21161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.060433982120281 and 0.2.\nAnswer: 0.260433982120281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14+262313413\nAnswer: 262313399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-3)*25*51\/(-425).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 0.1 (c) -2\/3 (d) -0.3 (e) -7.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**2 - 5*d - 1. Let t be v(5). Let t*o**3 + 3*o**3 - 3*o**3 + 0*o - 5*o = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5481, -0.5, -5 in decreasing order.\nAnswer: 5481, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4487 - 71823\/16. Let o be (5\/(-10))\/((-2)\/(-76)). Calculate the common denominator of c and o\/(-2) - 1\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21113 + 11?\nAnswer: 21130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3818)\/483 + 8 - ((-235)\/(-168))\/(-5). Factor -297\/8*x**2 - 363\/8*x**3 - u + 63\/8*x.\nAnswer: -3*(x + 1)*(11*x - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c = -2*v - 17*v + 167, 3*c - 7*v - 31*v = -c - 338 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 442 + 45?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utctuttc. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-14 + (-13 - -25) - (-1 + 7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 9*l**2 + 11*l - 7. Let g be t(10). Let q be 28\/42 + (-4)\/6. Solve q = -h - 2 + g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 2}. Give prob of picking 1 d and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3567783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000110100101010111010 (base 2) to base 11.\nAnswer: 9657070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**2 + 2*h**3 + 37*h**2 - 62*h**2 + 0*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*816.8\nAnswer: -3267.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4118377*14.2\nAnswer: 58480953.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10269000, 3, -20 in ascending order.\nAnswer: -10269000, -20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 26, 4, 1, 32 in decreasing order.\nAnswer: 32, 26, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4\/4 + 37947*d**3\/4 + 120282075*d**2\/4 + 1796687457*d\/4 + 1556275071\/2 = 0.\nAnswer: -6317, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 - 0.21. Let g = 16.18 - y. Let u = 15.99995 - g. What is u rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l + 851 + 353 = -452 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 423*y**2 - 279*y - 13608. What is s(-211)?\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 + -58. Suppose 5*g + 16 - w = 0. What is the first derivative of 4*t**4 + g*t - 13*t + 3 wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 7}. Give prob of sequence pppi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*a**4*d - a**4 - a*c**2*d + 4*c**2*d + 4*c**2 - 7*c*d - 2*d wrt a.\nAnswer: 260*a**3*d - 4*a**3 - c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 i when four letters picked without replacement from ririhrrhrrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-25))**(3\/8)\/((f\/(f*(f\/f**(-3\/4))\/f))\/(f\/(f*f**35*f*f)*f)))**(4\/11) assuming f is positive.\nAnswer: f**(-357\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:06 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i**3\/3 - i - 105. Let c(t) = 4*t**2 - 2. Calculate -6*c(y) + 13*d(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/4 and -57\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l - 29*l - 22 + 14*l. Let i be o(-9). Suppose m = -11 + i. Solve 2*x = -4*c + 3*x + 13, m*x = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*o - 2*u + 10, -11 = -2*o - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22738, 1, 4 in decreasing order.\nAnswer: 4, 1, -2, -22738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 247*p + 246*p - 88 = 0, -3*p = 5*o - 142 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (-264)\/(-42) + ((-200)\/(-91))\/(-5). Which is the biggest value? (a) -330 (b) o (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3415 and -4915.\nAnswer: 16784725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2, -5*s + t + 3*t + 0*t = 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 8. Let t be r(7). Let a(k) = 22*k**2. Let c be a(t). Calculate the greatest common divisor of c and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001388937 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 = 36*i + 1722*r - 1726*r, 4*i - 84 = 4*r for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 864.9298 rounded to the nearest 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ce (base 15) to base 4.\nAnswer: -12203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 14*q**3 - q + 2*q + 3*q to the form t*q**3 + a*q + w + v*q**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-4 - (-3 - -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 912413 divided by -1?\nAnswer: -912413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 2715635 in increasing order.\nAnswer: -4, 5, 2715635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19760 is divided by 9639.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145312284 to the power of 1\/2, to the nearest integer?\nAnswer: 33842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/60*2720\/255.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 17*w**3 - 4*w. Let y(l) = -l. Let h(n) = -b(n) + 6*y(n). What is the second derivative of h(o) wrt o?\nAnswer: -102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18701, -18714, -18753, -18830, -18957, -19146?\n\"Answer: -2*n**3 - n**2 + 4*n - 18702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z + 3*z + z)*(-1 + 1 - 2*z)*(7 - 1 + 0) + (4 - 4 - 14*z)*(-z + z - z) to q + c*z + x*z**2 and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 333790.5 millennia?\nAnswer: 333790500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 1\/12, 1\/4, -146, -9\/22?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 5*q + 30 = 0, -2*u = 21*q - 26*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtb when three letters picked without replacement from {k: 4, t: 1, b: 2, v: 3, z: 2, j: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 442*t + 12252 + 7196 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1848 = -8*f. Let i = -177 - f. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 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 p(m) = 5*m**2 + 9*m + 9. Suppose 72 = -7*x - x. Let q(z) = 2*z**2 + 4*z + 4. Calculate x*q(c) + 4*p(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-10 + (-13 - -32)). Which is smaller: -10\/3 or r?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let y(l) = 7977*l + 3. Determine y(t(d)).\nAnswer: -7977*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010101010 (base 2) to base 6.\nAnswer: -5310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e720e4 - 18?\nAnswer: -e7210c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -5 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5039*k + 61 = 5037*k + 3*a, 3*a = -7*k + 97 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 15 = 99. Let a = 41 + -38. Suppose 3*k - a*t - w = -6*t, -2*t - 22 = -4*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2069.833 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - s**2 - 14*s. Let w(r) = -r**2 - r. What is o(u) - w(u)?\nAnswer: 2*u**3 - 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -278*i + 276*i. Sort 3, 2, i, 0.1 in decreasing order.\nAnswer: 3, 2, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -5, 27, 113, 277, 543, 935, 1477?\n\"Answer: 4*k**3 - 9*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*d = 2995, 2*d + 737 = -4*v + 12825. Is 74 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 1. Let d(g) = -2*g**2 + 7*g + 2. Let u be -2*(3\/(-6) - 0). Let j(a) = u*d(a) + 3*i(a). Let z be j(-3). Is -12 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g. Let q(v) = -951*v + 1042. Let h(s) = -q(s) + 3*y(s). What is the first derivative of h(u) wrt u?\nAnswer: 933","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - 3*t**4 - t**3 + 2*t**3 + t**2 in the form b*t + i + k*t**2 + g*t**4 + x*t**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00124795175 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(3*b**4 - b**4 + 0*b**4) - 2535*b**4 - 2116*b**4 - 1558*b**4 + (-2*b**2 + 3*b**2 - 3*b**2)*(-2*b**2 - 3*b**2 + 6*b**2).\nAnswer: -6207*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.6 + 6.6038. Round v to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2. Let q be w(6). Let n = q - 2. Let j be (n - 0 - 1)*1. Which is the second biggest value? (a) 0 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106278 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9690 = -1042*y + 852*y for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/435 and 33?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 1. Is t(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l - 80*l - 1595 = 0. Let d = l - 165. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 35*m**4 - 5*m**2 - m + 3. Let z(o) = -18*o**4 + 3*o**2 + o - 1. Let r(f) = 3*h(f) + 5*z(f). What is the second derivative of r(w) wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -580)\/((-3)\/(-2)). Let q = r + -213. What are the prime factors of q?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0545 - 46.3545. Let p = m + 46. Let c be 8\/(-20) + (-26)\/(-90). Is p bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 6 = o, 5*p - 6 = -3*o + 8*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-87)\/(-6) + 2\/4. Let g = 94\/9 - 161\/18. Factor 3\/2*z**5 + f*z**3 + 15\/2*z**4 + 15\/2*z + 15*z**2 + g.\nAnswer: 3*(z + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1 (c) -5 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m - 36*m + 1 + 13*m + 2*m**2 + 7*m. Let s = 38 - 33. What is h(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1458260, 5834274, 13127630, 23338328?\nAnswer: 36466368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2 - 4. Let o(g) = -2*g - 16. Let s be o(-10). Solve x*h = -z + 5 + s, -4*z = -5*h + 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 4. Let o be f(4). Suppose -4*c + o = -3*c. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (261 - 4146 + 2045 - 3029)*(-3*s**2 - 4*s**2 + 4*s**2) in the form d + a*s + n*s**2 and give n.\nAnswer: 14607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9303, 9315, 9335, 9363?\n\"Answer: 4*n**2 + 9299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388845866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 6a44?\nAnswer: 6a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/7 - 774*o**2\/7 + 57720*o\/7 - 576000\/7 = 0. What is o?\nAnswer: -320, 12, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.288 and 141.34.\nAnswer: -1736.78592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 566776513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -93543240 divided by -4\nAnswer: 23385810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86988993 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107871927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(-2*i + 5*i + 2*i)*(2*i**2 + i + 0*i**2 - 2*i).\nAnswer: -30*i**3 + 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -4. Let n(y) = -7*y**3 + 7*y**2 + 5. Let j(l) = -8*l**2 + 174200*l - 174200*l - 6 + 8*l**3. Give r*j(m) - 6*n(m).\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17209 + -26709. Round i to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98451787\/2970 + 2869158\/55. Let i = 19016 - g. Find the common denominator of i and -13\/22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 3*s + 3*s + (-1 + 2 + 0)*(-3 + 3 + s) + (-56 - 54 + 14)*(4*s + 1 - 1) in the form p*s + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354965 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0671 * -0.02387\nAnswer: -0.001601677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 + 1040*p + 141156. Determine c(451).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5664516 to the power of 1\/2, to the nearest integer?\nAnswer: 2380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 + -1 + 1). Let b = t + 3. List the prime factors of (-3)\/((-3)\/(b*2)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 + 1. Let j be b(-3). Let y = j - -12. Which is smaller: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/105 - 11*w**4\/42 + 8*w**3\/7 + 82*w**2. Let y(q) = 0. Calculate q.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/(-4))\/((-15)\/(-240)). Sort 1, -3, o, 4.\nAnswer: -3, 1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 8 + 11 + 0*y.\nAnswer: 12*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {e: 2, n: 3, a: 3, z: 3, p: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + -17 + 17 - (2 + -15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/24483 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 + -110. Sort p, -43, -4 in ascending order.\nAnswer: -43, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53547541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/6)\/(3\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*z**(2\/9)*z*z*z*z)\/(z*z*z\/(z**7*z))*(z*(z\/z**9)\/z)\/z*z*z**(-2)\/z assuming z is positive.\nAnswer: z**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(525) + sqrt(525))*5)\/(((2*sqrt(756) + sqrt(756))\/sqrt(12))\/sqrt(9)).\nAnswer: -25*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -38 + (4 - (3 + -1)) + 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3607001828383 and -0.5.\nAnswer: 3607001828382.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326565.\nAnswer: 3, 5, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 98 - 6\/2. Suppose j - o = 38. Does 38 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - -7. Let r be 5 - (2 + -4 + 2). Solve r*j + 4 = v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11103, 11214, 11501, 12048, 12939, 14258, 16089?\nAnswer: 18516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/4 + 0. Let l be (-2 - -1 - -5)*2\/(-10). What is the closest to -1\/4 in l, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (8 + -3) - 0 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = d + g - 143, 4*g = 15*d + 76 + 95 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = -6. Suppose -3*r = -f*r - 4. Suppose -3*k = -3*c + 639, -r = -3*k + 2. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {w: 3, s: 1, i: 1, x: 5, o: 1, j: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 1\/3*a**4 + 8*a - 2\/3*a**3 + 0*a**2 + 0. Determine c so that i(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + (-4)\/((-32)\/1294). Suppose 27*m = 21*m + o. Suppose -31*n + 184 = -m*n. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -4*n**3\/3 - 24*n**2\/5 - 16*n\/5 + 14. Factor z(m).\nAnswer: -4*(m + 2)*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 17*k**2 + 33*k - 17. What is the hundreds digit of r(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1)\/(20\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*a - 2, 5*o + 2*a = 6*a + 9. Suppose 2*s = o*m - 141, -m = -2*s - 0*s - 33. Suppose 2*z + z = m. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 732 and 135?\nAnswer: 32940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -174 + -10690?\nAnswer: -10804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f - 11. Let u be y(-2). Suppose 6 = u*o - 1. What is the least common multiple of o and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 116581743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2315?\nAnswer: 3\/2315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 14*k**2 + 31*k - 17. Let s be t(-16). Suppose -5*d = -0*d. Sort 9, -3, s, d.\nAnswer: -3, s, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-216)\/(-240))\/(1\/30). Solve n - 72 = -15*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69500000 rounded to the nearest one million?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49*g - 368*g - 67*g)*(62 + 4*g**3 - 48*g**3 - 62) to h + o*g**2 + c*g**3 + p*g**4 + y*g and give p.\nAnswer: 21296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgbdcb. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + t)*(-t + 3 - 3)*(-110*t + 110*t + 111*t**2).\nAnswer: -111*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2841872154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v**2 + 4*v - 1. Let i be l(-4). Let q(h) = -3*h. Let z be q(i). Find the third derivative of 2*y**2 + 5*y**3 - y**z - y**2 wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39874486793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 5*x - 1. Let v be d(6). Calculate the remainder when 245 is divided by v + 15 - (8 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.9, 27, 12, 0.3 in decreasing order.\nAnswer: 27, 12, 0.9, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 97.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -5) + 26 + -21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/78*(-10)\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/r**(-9)*(r*(((r*r**2\/r)\/r)\/r)\/r*r)\/(r**(2\/7)*r) assuming r is positive.\nAnswer: r**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c + 3*c**4 + (579*c**3 - 614*c**3 + 1554*c**3)*(-2*c - 3*c + 6*c) + c**4 + 0*c**4 + c**4.\nAnswer: 1524*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*y + 2, p + 2 = 2*y + 4. Let j be -15 - (p\/1 - (2 + -1)). Let q(d) = -7*d + 44. What is the hundreds digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 7*r - 10. Let y be u(3). Let d(b) = -12*b + 14. Calculate the remainder when d(y) is divided by -5 - (1 + -2)\/(1\/31).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4\/2 - 585*m**3\/2 - 19359*m**2\/2 - 197571*m\/2 - 326700 = 0?\nAnswer: -11, -8, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/87, 0.1, -24.\nAnswer: -24, 1\/87, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-11)\/3 - -3). Sort -5, 4, o.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100100 - -1000?\nAnswer: 10001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -92, 2 in decreasing order.\nAnswer: 5, 2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -18339\nAnswer: 8\/6113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = 0, 5*b - 10*x + 7*x - 87045 = 0. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812 divided by -151?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -26\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3333769.\nAnswer: 863, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -615.\nAnswer: 22\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.641728 <= 0.005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 2*l**5 + 2*l**4 + (-3 + 3 - 2*l**4)*(l + l - 3*l) + (10*l + 3*l**2 - 10*l)*(2 - 2 - l)*(7*l - 4*l - 4*l)*(3*l + 2*l - 4*l).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60909052 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 99493548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = n - 1, -4*k - 3*n = 6 + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 0.8, -2\/7, -4, 5471?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 16*c**2 + 10*c + 197. What is the remainder when 61 is divided by b(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57310 is divided by 11461.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*s = 15, -2*f = -f + s - 3. Suppose f*y - 2546 = t, -5*y - 2*t + 3174 = t. What are the prime factors of y?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 4.445.\nAnswer: 8.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + u**2 + u - 1. Let b be m(1). Put b, 1, 2\/17 in decreasing order.\nAnswer: b, 1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -5a64?\nAnswer: 5a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2162\/17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - -31 - (-3 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3066847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71, 560, 1899, 4514, 8831, 15276, 24275?\n\"Answer: 71*f**3 - f**2 - 5*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402 by -6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13081253 is divided by 1535.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1225 - -43?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1056*u + 2515*u + 1031*u as h*u + n and give h.\nAnswer: 2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-27)\/(-6))\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 16 + (5 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10347 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 - -5) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1759 - -2167. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.401128g?\nAnswer: 401128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0*t**2 - 2 + 0 + t**2 + t**3. Let u be c(0). Let m(j) = 107*j**2 + 2. Let k be m(u). What is k rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*n**2 + 2406395*n - 601600.\nAnswer: 5*(n + 120320)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/4, 2\/13, 1, 11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8351 - 133675\/16. What is the common denominator of s and 31\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*p - 13 = -117, 0 = -2*u + 5*p + 112. What is the remainder when 3032 is divided by u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1191*w**2 - 79*w + 1.\nAnswer: 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*(1 + -9). Let z = 326\/135 + -22\/27. Solve -2\/5*j**p + 4\/5*j**3 + 6\/5*j**2 - 8\/5 - z*j = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 487575579*g + 200853566?\nAnswer: 487575579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 49. Let p = 4 - z. Solve 2*g - 4*g + p = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 215\/4 - (-5)\/20. Let n = 170\/3 - g. What is the common denominator of 70\/3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 96*y. Let w be n(15). Find the common denominator of 4836\/w + (-2)\/5 and -17\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0700907706 to four dps.\nAnswer: 0.0701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = 4. Suppose 5*o - 30 = -4*q, -2*o + 15 = a*q - 9. Suppose -o*f + 2*x + x = 3, -3*x + 3 = 5*f. Solve f*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n)\/((n*n**(-5)*n)\/n*n)*(n*n**(2\/17)*n*n)\/(n**(5\/4)*n)*((n*(n*n**(-4))\/n)\/(n**(-6)*n))\/(n**3*n**(-1\/7)\/n) assuming n is positive.\nAnswer: n**(481\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.065329 months to decades.\nAnswer: 0.042211075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**(4\/7)\/v))*v**(2\/25))\/((v\/(v*v\/((v**(2\/17)\/v)\/v))*v)\/v**(-13)) assuming v is positive.\nAnswer: v**(-37087\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {l: 3, e: 6, p: 2, z: 3, u: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 14 = -0*i + 3*u, -i + 20 = -5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -9*k - 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 25*q**2. Let n(y) = -8223099*y**2. Calculate z(n(i)).\nAnswer: 1690483929095025*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1805\/20 + 2\/(-8). What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.4 + -0.303.\nAnswer: 9.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 3*r - 9. Let c be p(-4). Let d be (c - 28)\/((-2)\/62). Suppose -32*a + 8 = -d*a. Calculate the remainder when 30 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.6405 + 0.0405. Let k = -53 - v. Which is the closest to -1? (a) 0.3 (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5 + 4. Let w be p + (2 - -1) + 2. Solve 3*q = -r - 11, -q + 0*r + w*r - 13 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 2*sqrt(1008)*-1)**2 - (5*-2*sqrt(70) - sqrt(70))\/sqrt(10).\nAnswer: 11*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10205)\/(-314)*(-2)\/26\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3446652*1\nAnswer: -3446652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**3 - 2*x**2 + x - 1. Let h be u(2). What is the third derivative of h*i**3 - 32*i**3 - 8*i**2 - 45 + 10*i**2 wrt i?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8001 and 1016?\nAnswer: 64008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3752 and 49\/44488.\nAnswer: 311416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 137458*i\/7.\nAnswer: 2*i*(i + 68729)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 + 7 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 77. Let n = k + 33. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-33 + (31 - -10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-51)\/(-9) - 2). Let u = q + 15. Differentiate -3*r**4 - r**u - 4 + 0 wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2161 in 10, 2, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 190 (b) -49 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16278651 divided by -4.\nAnswer: 16278651\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Let p(o) = 5*o**2 + 9*o + 7. Let m(l) = 2*l**2 + 5*l + 4. Let k(d) = n*m(d) - 3*p(d). Let f = -156 + 155. Calculate k(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 3176?\nAnswer: 301720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 6. Calculate y(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-46)\/(-8))\/((-2)\/(-8)). Let s be (2 + -4)*o\/(-2). Let a = s - 15. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189276 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*z + 6*z - 662*z + 4*z - 1737 with respect to z.\nAnswer: -685","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1162 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.9 - -19.9395. Let b = -36.0395 + x. What is the second biggest value in 3, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.35 and -0.3.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggosssossgsoggooss. What is prob of picking 1 s, 2 g, and 1 o?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2276 = -4*v - 5*m, -11*v + 15*v = m - 2300. Let t = v - -579. Solve -t*i + 5 = 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 0.47 (c) -0.3 (d) -5025\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 + 339. Solve j = 4*s - 8*s + 7, -3*j - o = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*r - 5. Let n be (r - 3)*(2 - 1). Suppose 5*y + n*m = 80, -5*y + 0*y + 2*m = -50. Solve 2*j + 5*d - 4 - 8 = 0, -d = -2*j - y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -22. Calculate the remainder when (x\/4)\/((-10)\/(-24)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12574039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 3 + 3)*(4 + 0 - 3)*(-2 + 9 + 4).\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1232670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157.28 - 157.18. Put -2.319, 4, c in increasing order.\nAnswer: -2.319, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1025.13 - -132.97. What is v rounded to the nearest 10?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -u - 57, 1720*u + 5*w - 23 = 1719*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95515.39981 - 95523.4. Let h = 8 + v. What is h rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8277\/(-178)*(-7)\/63*6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-764)\/(-14) - (-6)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 44*h + 61. Calculate the remainder when x(19) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9798803041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c - 4*c**3 + 3*c**3 - 3*c**2 - 18*c**2 - c**3. Let z be a(-9). Let h = 93 - z. List the prime factors of h.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3549 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 849\/5 + -170. What is the closest to 1\/12 in 2\/11, -2\/7, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.6 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -9293760?\nAnswer: 9293756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*k + 2, -4*v - 3*k = v - 3. Let h = 0.4 + 3.5. Let o = -4 + h. What is the nearest to o in 0.1, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150367663 or 150367662?\nAnswer: 150367662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*s - 31. Suppose -5*o = -7*o. Suppose -3*a - 4*w + 39 = o, a + 0*w = 2*w + 3. Calculate the least common multiple of s and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6219885*r - 12439283*r + 6219397*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 8\/6*12\/(-8). Suppose 0 = -0*h + 5*h + v*u - 518, -h - 3*u + 106 = 0. List the prime factors of h.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 1736*y - 1522688\/7.\nAnswer: -2*(y - 5948)*(y - 128)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 12 = -48. Let q be 0*2\/m - 5. Let f(i) be the first derivative of i**2\/2 + 4*i + 1. Calculate f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**1\/t))\/t)**(-3))**(-20\/9)\/(t**(-8)\/(t*t**(1\/7)))**16 assuming t is positive.\nAnswer: t**(1024\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 72\/1505 and ((-86)\/80 - -2) + ((-84)\/(-24) - 3)?\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-6*6\/9. Let v = -5 - m. Suppose -v*w = -7*w + 188. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4633426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -111 + 0*y**5 + 7\/4*y**4 + 5\/2*y**2 + 0*y**3 + 2*y + 1\/6*y**6. What is the second derivative of n(r) wrt r?\nAnswer: 20*r**3 + 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.79 - 7. Let d = h + 0.136. Let l = 0.07400043 + d. What is l rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -21774, -9 in descending order.\nAnswer: -9, -21, -21774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 w, and 1 k when four letters picked without replacement from {w: 3, k: 2, q: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 24460704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 3:53 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5105 - 23523?\nAnswer: -31631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/296767 and -33\/8?\nAnswer: 2374136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-10)*(-1780)\/(-267).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -161 + 3*t**3 - 4*t**3 + 187 + (5*t**2 - t**2 - 2*t**2)*(-t + t + t).\nAnswer: t**3 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = 2*l, 0 = -j + 5*l + 21 - 13. Let z = 3.95 - -0.05. Sort z, 6, 0.3, j in decreasing order.\nAnswer: 6, z, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -116.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*a = -556, -1419 + 833 = -f + 4*a. Solve 559*l - f*l = 42 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -91. Let h(i) be the first derivative of -3\/14*i**4 - 6 + 8\/21*i**3 - 4\/7*i + 1\/7*i**r. Factor h(d).\nAnswer: -2*(d - 1)**2*(3*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a012 (base 11) in base 10?\nAnswer: -189015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 24. Let k = w - -25. Calculate the common denominator of -53\/10 and ((48\/k)\/3)\/(22\/115).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*a - p + 30, 4*a = -3*p + 83. Let b = 17 - 10. Suppose -b*i + 3*i + 37 = -r, 3*r - 9 = -3*i. Calculate the smallest common multiple of a and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 316\/(-6) + ((-26)\/(-3) - 8). Let q = v - -51. Calculate the common denominator of ((-1188)\/(-40))\/(-11) + q and -53\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4179039750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -0*r + r + 242, 3*r - 341*u + 344*u - 40 = 98 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21088 = -6*y - 21064. Let o(r) be the third derivative of -r**2 + 0*r + 1\/96*r**y + 0*r**3 + 0 - 1\/48*r**5. Factor o(h).\nAnswer: -h*(5*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393110 and 40?\nAnswer: 1572440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let u(i) = -6*i - 6. Let w(g) = 2*g - 2. Let z(t) = u(t) + 4*w(t). Give 4*f(k) - z(k).\nAnswer: -2*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -1\/6*o**6 + 2 - 2\/3*o**3 + 0*o + 0*o**5 + 0*o**2 + 0*o**4. Find the third derivative of a(k) wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16378072 and 1156.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1 + 18*u**3 + 4*u - 5*u - u. Give w(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 31*n = 87*n - 37*n - 95 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 184 = -2*r. Suppose -2*g = -5*l - 43, -2*g - r = -6*g + 2*l. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 4. Let h(u) be the second derivative of u**4\/12 + 2*u**3 + 6*u**2 + 5*u. Let z be h(-11). Let s(x) = -1 - z - 1. Give 2*n(l) + 3*s(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24) + -14 + (-15880)\/(-240)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -5633?\nAnswer: -5625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:54 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v + 3. Let w be d(3). Let s(k) = -k**2. Let h(q) = 3*q**2. Let x(r) = w*s(r) + h(r). Let l(p) = -5*p**2. Calculate l(x(t)).\nAnswer: -180*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-25)\/(50\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31229*s + 960 = -31149*s. Factor 1\/2*y**3 - 13 - 51\/2*y - s*y**2.\nAnswer: (y - 26)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2218 - -2726?\nAnswer: 5045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21695 = 5*q - 12*r + 16*r, 0 = 6*r. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n - 30 + 245 = 0. Suppose 14 = -5*v + 29. Suppose -n*p - 1799994 = u - v*u, 719991 = -2*p + 3*u. Round p to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ygyrgyygrgrryyryrrry.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50365931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210 + -30. Calculate the greatest common factor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 6)*(-2 - 2*l + 2) + 5127*l - 5277*l + 1 - 3.\nAnswer: -132*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-3))\/((-6)\/(-9)). Let x be (l\/(-10))\/(5\/(-25)). Sort 2, 0, x in ascending order.\nAnswer: 0, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -209, -202, -195, -188?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4 + 16. Is 7 a factor of (4\/(-3))\/(w\/(-63))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*f - 4*k + 6185624, -4*k - 15463976 = 10*f. What is f rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*m - 103 = -39*w, -43 = -3*m - 47*w + 52*w for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(30\/(-40)). Solve 2*y - n - 6 = 0, -2*y - 2 = -5*n + u*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32995072 and 0.77.\nAnswer: 32995072.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 1. Let h(d) = -d. Let p(s) = 12*s - 40. Let q(j) = -1. Let o(w) = p(w) - 5*q(w). Let z be o(3). Determine z*h(x) + 2*a(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u**2 + u - 4. Let a be y(4). Let n(p) = p + a*p + 5 - 4. Let k(b) = 5*b - 2 + 6 + b + b. Determine k(v) - 6*n(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1821 = 3*x, -3*n + x + 420 = -675. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)\/c**(-7\/2))\/(c\/(c**(-2)\/c)*c*(c*c\/c**2)\/c))\/((c*c**0*c**(-1\/4))\/(c*c**(2\/7))**6) assuming c is positive.\nAnswer: c**(571\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31405080, -62810166, -94215254, -125620344, -157025436?\n\"Answer: -s**2 - 31405083*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 u when three letters picked without replacement from {c: 1, y: 2, h: 2, z: 1, u: 1, x: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12000, -23990, -35974, -47952, -59924, -71890?\n\"Answer: 3*p**2 - 11999*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*f - 477*f = -150*f + 3368 + 4570 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(1008) + 2)**2 - sqrt(1008)) + 0 - (4 + sqrt(1008) + -5 + sqrt(1008))) + -3)*-5.\nAnswer: -5050 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -383099?\nAnswer: 383099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 163, 244, 323?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.357*2\nAnswer: 2.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**2)\/b)**(7\/3)*(b\/b**(-2\/9))\/b*b**(-2)\/b assuming b is positive.\nAnswer: b**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/128*(-9 + 11).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900623 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 5. Let i(j) = 4*j**2 - 24. What is 24*d(c) + 5*i(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 10134008*x\/3 - 12837264768008.\nAnswer: -2*(x - 7600506)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 238 - 2?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, k: 1, u: 1, q: 4, n: 5}. What is prob of picking 1 q, 1 n, and 1 t?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/9)*r*r**(-3)*r*r*r\/((r*r\/r**(3\/2)*r)\/r)*r**(-2\/23) assuming r is positive.\nAnswer: r**(125\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 5. Let s = 10.0002 - v. Round s to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 6165313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 2, o: 3, e: 1}. What is prob of picking 1 e and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**3 - 7*y**2 + 21*y - 81. Give r(4).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5 - 22*b - 1 in the form m + p*b and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2.4, 6, 2\/3, -5, 2\/33.\nAnswer: -5, 2\/33, 2\/3, 4\/3, 2.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*s**2 + 618*m*t + 74*s**2 - 4*t with respect to m.\nAnswer: s**2 + 618*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-15))\/((13\/10)\/13). Let l(y) be the first derivative of y**3\/3 - y**2\/2 - 5*y + 1. What is the units digit of l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/8544215 and 6\/25.\nAnswer: 42721075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341451925.\nAnswer: 5, 13658077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21462 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -s - 13, -5*s + u = -4*u + 35. Let f = 0.435 + -0.035. What is the smallest value in -1, s, f, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 + 1501 = -302*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 7*y**2 + 2*y**2)*(-10 + 8 + 5).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(10)\/sqrt(2)*1 - ((3*sqrt(30))\/sqrt(2))\/sqrt(3))*-3.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140063 and 272272.\nAnswer: 29133104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = h + 117, -105 = h - g. Let r = h + 118. Find the second derivative of 24*s**5 + r*s - 35*s**5 - 31*s**5 wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -14 + 13 - 11*c**2 + 14*c**2 - 32 + 9*c. Let w(t) = -3*t**2 - 10*t + 33. Let y(n) = -5*o(n) - 4*w(n). What is the derivative of y(q) wrt q?\nAnswer: -6*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1541.7*-0.3\nAnswer: 462.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:22 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56 - 225c3?\nAnswer: -2256c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 68*j + 82917 = 0. Calculate the remainder when j is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 21*w**2 - 708*w + 5412 = 0?\nAnswer: 82\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23801505?\nAnswer: 3, 5, 7, 13, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1100002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 u when four letters picked without replacement from rrsuiiruurrrrusr?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - 48\/42*546\/90.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 2*o + 2. Suppose 0 = 5*s + 2 + 8. Let u(q) = 3*q**2 + 5*q - 5. Determine s*u(d) - 5*k(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25443367 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: Let j = -137 + 149. Sort 2, -4, j, 0.01 in descending order.\nAnswer: j, 2, 0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 9:21 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**6\/10 - 115*w**3\/3 - 911*w**2\/2 + 688*w. What is the derivative of t(i) wrt i?\nAnswer: 12*i**3 - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 274 = -2*w, -4*w + 116 + 8 = 2*c. Let x = c + -335\/6. Put -22, x, -0.4, 2\/7 in decreasing order.\nAnswer: 2\/7, x, -0.4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 + 3*a - 4. Let f be u(3). Calculate the highest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 20*m**2 + 9*m + 23. Let x be a(-17). Suppose 0 = 11*k - 660 - x. List the prime factors of k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 348. What is the fourth smallest value in -1, k, -0.1, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428837597 to the power of 1\/3, to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 18*s + 19. Let t be v(-11). Suppose t = 4*u + 4*y, 4*y - y + 102 = 2*u. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y. Let f be ((-2)\/4)\/(1\/2). What is the remainder when 204\/21 - 2\/(-7) is divided by m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*m = 7, -s - 7801 = 4*m - 7806 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o - 4 - 35*o**2 + 3723*o**5 + 3 + o - 3724*o**5 wrt o.\nAnswer: -20*o**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 2*i**2 - 4*i**2)*(0*i + 4*i - i) + (3*i**3 + 3*i**3 - i**3)*(0 + 2 - 3) as d*i**2 + g*i**3 + a*i + s and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 165. Let k be (4 + 0)*-1*1. Let y = 10 + k. Calculate the greatest common factor of y and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 125. Let p be (0 + h + -2)*(-80)\/(-660). Let k be 34\/(-24) + (-6)\/(-9). Which is the smallest value? (a) 3 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3815 is divided by 3808.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*z = 12 + 12, 0 = 5*g - 4*z - 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -398572 - 93780. List the prime factors of c.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*j. Let g = 6 - j. Let z be g\/(-4) + (-45)\/(-10). Solve -2*n - 5*c - 27 = -5*n, -z*n - c + 9 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 7*z + 5*z)*(-2*z + 2*z + 3*z**2) + 4*z**3 + 6*z - 6*z.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 3 = 0. Let x(h) = -h**2 - 1. Let k(n) = -6*n**2 + 275*n - 138*n - 3 - 139*n. Let g(q) = k(q) - 4*x(q). What is g(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 (base 8) in base 7?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39071 and 11414?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p + 35. Let l(b) = -2*b - 17. What is 7*l(w) + 4*z(w)?\nAnswer: 10*w + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 593925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -98*a**5\/11 - 21*a**4\/11 + 24*a**3\/11 + 8*a**2\/11 + 21. Let l(r) = 0. Calculate r.\nAnswer: -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 1. Let s = 38 - 36. Let a be s - (-4 - (4 - 3)). What is i(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(520)\/(sqrt(80)\/sqrt(72)))\/(-5*sqrt(256)).\nAnswer: -3*sqrt(13)\/40 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 - 10 = v, 4*v + 4 = 2*x. Let r(a) = -a**3 - 3*a**2 - 4*a - 2. Let z be r(x). Suppose 4*s - 18 = -z. Solve s*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 20 - 0 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 303 = -37. Let k = f + 241. Suppose -6*l = -3*l - k. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103569280 divided by -20713856?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Suppose 4 = -2*i - f*w, 0*i - 3*w - 9 = -3*i. Let o = -64\/5 - -67\/5. Which is the closest to 0.1? (a) o (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23156 - 291152 = 3884*w for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 14. Let i(w) = -w**2 - 48*w - 145. Let q be i(-43). Calculate the greatest common divisor of r and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {q: 1, m: 6, l: 7, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(640) - -2*sqrt(640)).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by -4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13301020123 (base 4) to base 7.\nAnswer: -23210410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h + 42 = 0. Suppose -h = -d + 16. Let n = d + 3. Is n 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 149718?\nAnswer: 2, 3, 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -188*s - 13718. Give f(-73).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51417, 102844, 154271, 205698, 257125?\n\"Answer: 51427*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 561187? (a) 1\/10 (b) 0.4 (c) 13\/6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 708630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180683398 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Let u = 15 - 10. Suppose -1 = -5*z + 4, 0 = -u*s - 4*z + 24. What is the smallest common multiple of s and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbw when three letters picked without replacement from ciwifbebfif.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 10*x - 16. Let n(p) = p**2 - 10*p + 17. Let f(j) = -3*d(j) - 2*n(j). Let o be f(9). Suppose -o*b + 56 = -4*b. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41434441?\nAnswer: 4517, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - -2.05. Let l = -996 + 744.6. Let h = l + 251. Which is the nearest to 2? (a) 3 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**6\/6 + b**5\/2 - 5*b**4\/3 - 20*b**3\/3 - 221*b + 1. Factor m(o).\nAnswer: 5*o*(o - 2)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -502\/19 - -3593\/95. Suppose 10 - 33 = -3*s - 2*t, -5*s = 5*t - 30. Let d = l - s. Are d and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21602 - -32814. Let a = -123432\/11 + f. Is a >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -34815.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1156 and 39\/14.\nAnswer: 8092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636 (base 9) to base 14.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 1\/2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 195, 193, 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 4 + 3\/2*p**2 + 2\/3*p**3 + 0*p. What is the second derivative of m(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:45 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*g + 10, 0 = 2*v + v - g - 8. Suppose 2*n - 30 = q, -3*q + 53 = v*n + 3*n. Let i = n + -4. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 263 = -238*c - 250. Put 10, c, 51 in increasing order.\nAnswer: c, 10, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 20121?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -2, -1, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495700 divided by 99140.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 334 + 134?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14058323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00728352 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -546 + 665. What is the greatest common factor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 267 + -141. Suppose 3*v - 75 = f. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160145\/23 - 6963. Which is the second biggest value? (a) 5 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k - 2. Suppose 0 = 2*h - 5*h + 15. Let j(t) = -5 + 0 + 2 - 13*t. Determine h*j(y) - 7*c(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26193, 109572, 248537, 443088, 693225, 998948?\nAnswer: 1360257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 2, v: 1}. Give prob of sequence vbk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -4 - 1 - 2. Suppose 7*s = -20 + 90. What is the greatest common factor of s and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4612 is divided by 354.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 25 = 15*o, 4*v = -5*o - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 18512*m**3 - 1040*m. Let s(y) = -107*y**3 + 6*y. Determine -3*c(i) - 520*s(i).\nAnswer: 104*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 7:23 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9 - (-10)\/15. Let a(m) = -m**2 + m. Let c(k) = -2*k**2 - 3*k + 1. Let b(j) = 2*a(j) + c(j). Calculate b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-88)*-4*38*(-1)\/(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = -8*g + 756. Solve -5*c - 38 = -g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86755246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/12 + w**3\/6 - 5*w**2\/2 + 2*w. Let q be z(0). Let d = -0.2 - -0.4. Which is the smallest value? (a) q (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s - 5. Let d be r(6). Let x(k) = -2*k - d + 3*k + k - 4. Let h(u) = 6*u - 14. Let a = 10 + -14. Give a*h(l) + 11*x(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455769.\nAnswer: 3, 89, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28300656 a multiple of 1454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.494 - 1.4942908. What is g rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 4. Let y = -7 + h. Let a(b) = -179. Let r(j) = j - 475. Let m(t) = -8*a(t) + 3*r(t). Let c(w) = -2*w - 4. Determine y*m(u) - 10*c(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (49\/(-14))\/(9\/(-378)) + 1 is divided by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0 - 8\/3*c**3 - 19*c - 63*c**2. What is the derivative of y(k) wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p - 30820 = 76*p. Let l = -2182 - p. Is 28 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2535 - 16*b + 2537 - 10128 + 2518 + 2538.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(3 - 4 - 1)*(50*c - 50*c - c**3) + (0*c - 2*c - c)*(1 - 2*c**2 - 1).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 0)*(-38)\/8. Suppose -2*j + 4*w + 121 = b, 0 = -w + 1. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(35\/4)\/o*o)\/o)\/((o*o*o**(-15\/7)*o)\/o)*(o**(1\/24)*o)**(2\/5) assuming o is positive.\nAnswer: o**(349\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (20 - 17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -5\/2*f**2 + 0 + 5\/24*f**4 - 6*f - 5\/12*f**3. Factor l(x).\nAnswer: 5*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57024)\/672 - (10 - 148\/14)\/(-4)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -2e2?\nAnswer: -2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156 - -155. Let l(k) = -k. Suppose g + 5*s = -0*s + 12, -2*s + 6 = g. Suppose 3*w - 7 = g. Let x(t) = -4*t. Calculate j*x(u) + w*l(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 1. Let p(w) = 4*w**2 + 1. Determine -5*p(r) + 6*u(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/45)\/((-5)\/15))\/((-36)\/45).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 1, c: 1, i: 1}. What is prob of sequence iaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1998 + 2007. Solve f - 29 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**5 - 2*t**5 + t**5)*((-3 + 0 + 5)*(4 + 0 - 5) + 3 - 6 - 1).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -43*a**5\/5 + 2*a**3\/3 + 3*a**2\/2 - 12*a - 37. Find the second derivative of q(x) wrt x.\nAnswer: -516*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1473\/488 - 24\/61. Let h be 1 + (48 - -5) - 4. What is the common denominator of l and -1 + -4 + (-295)\/h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 3:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524372 divided by 1?\nAnswer: -1524372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 f when four letters picked without replacement from rfrrefefrferrrrr.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5971 rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28568 - 84973\/3. Let n = -243 + z. Factor -n*w**3 + 4*w**4 + 0 + 0*w**2 + 0*w.\nAnswer: 2*w**3*(6*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2123 = -430*s - 9832 - 85 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -2*sqrt(143)*-1 - 6*(sqrt(143) + sqrt(143)*-2))*2)\/(sqrt(396)*1 + sqrt(132)\/sqrt(432)).\nAnswer: 108*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 3. Let n be (-3)\/(-6)*4 - f. Let k be 1\/n - 1\/2. Is -2 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 7*c**2 - 8*c + 9. Let q be b(-8). Let n be 32\/2 + (-18)\/q. Calculate the highest common factor of n and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 6*u + 3*u)*(0 - 1 + 3)*(4927 - 6426 - 4685 - 13742 - 13147) as w + z*u and give z.\nAnswer: 66146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 11:34 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -9 - 33. Let r(w) = w**2 + 5*w - 10. Let f be r(-7). Suppose f*c + 55 = 9*c. Calculate the remainder when n is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*l**2 - 136*d**2*l + 72*d**2 + 36413*l**2 wrt d.\nAnswer: 4*d*l**2 - 272*d*l + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + 69\/33)\/(-1) and (4326\/(-36))\/7 - (4 + 0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*8\/5. Factor p*l + 0 + 2\/5*l**2.\nAnswer: 2*l*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 1*sqrt(114)*-3 - sqrt(114))*-6)\/(3*sqrt(18)\/sqrt(3)*-4).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxxssshxvxxxxxxx. What is prob of sequence shvs?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(((-64)\/12)\/(-4))*8\/(-4)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98859*o**6 - 16*o**4 + 17124850*o**2.\nAnswer: 11863080*o**3 - 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/8 - 2276*g**2 - 182005*g\/8 - 227475\/4 = 0.\nAnswer: -18198, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -22, -63, -0.8 in decreasing order.\nAnswer: 19, -0.8, -22, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w - 104*w + 10 = -246 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y**3 - 4*y**3 + 1888*y - y**3 - 357*y - 9*y**3 to h*y**3 + s*y**2 + p*y + m and give p.\nAnswer: 1531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26745.5 - 26745. Which is the nearest to -2\/15? (a) -2\/463 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1093 divided by -4.\nAnswer: 1093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 3, j: 1, e: 10, l: 5}. Give prob of sequence ellh.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 57 - 29 - 28.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3 - l**2 - 3*l**3 - 3 - 2*l**3 + 5. Let f be y(-2). Suppose -28 = -2*q - 5*x, 3*q + 0*x - f = -4*x. What is the greatest common factor of q and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117 in -1, 2\/5, 1\/2, -0.4, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/35? (a) 0.2 (b) -0.2 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 4*p + 3. Let r be w(-5). Let s(v) = v**3 + v**2 - 5*v - 3. Let n be s(-2). Sort n, 5, r in decreasing order.\nAnswer: 5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760 a factor of 1583755440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = -0*x. Solve 3*p = 4*f + x, -1 = -f + 4*p - 2*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:27 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1484 + 1573 - (-3 + 8 + -2 - -5)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.1 (c) 2 (d) 34 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 1223*p**2 + 3682*p - 54. Determine s(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 12 = -10*a. Let r(o) = 22*o - 24. Let t be r(a). Solve 5*g = g - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.07 (b) -129 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 - 4 = 0. Suppose m + o - 5 = 3*h, m + h - 3 = 0. Solve -m*p + 4 = -11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 452?\nAnswer: 23504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*b + 1160, -4*b + 3*s - 94 = -991. Factor 3 + b*l - 4*l**4 + 12*l**3 - 3 - 244*l.\nAnswer: -4*l*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86910907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3, -6*n + 4*n = -y. Calculate the lowest common multiple of 7 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(66)*-6)\/sqrt(6))**2.\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -9219a?\nAnswer: -92196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + 9. Suppose -5*r = -3*r, k*r = 5*d - 35. Does 6 divide 9\/d*2*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166718?\nAnswer: 2, 31, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076*a**3 + 4940*a**3 - 6008*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 371726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9095744 to the nearest integer?\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*n + 42, -n + 11 = -3*c + 18. Which is greater: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -66. Let t(x) = -2718*x + 481. Let a(y) = 6*s(y) + 2*t(y). What is the first derivative of a(j) wrt j?\nAnswer: -5436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 396*k**2 + 399*k + 3.\nAnswer: 3*(k + 1)*(132*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 66.185. What is w rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, -7, 9, -2 in decreasing order.\nAnswer: 9, 4, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -404\/3. Suppose 0 = -3*z - 5*g - 2 - 3, -4*z + 3*g = -3. Determine x so that c*x**3 - 2\/3*x**4 - 2\/3*x**2 + 0 + z*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1312485, 1312486, 1312487, 1312488?\nAnswer: 1312489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906176?\nAnswer: 2, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/7 and -50\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.109 + -461.891. Let v = -466 - k. What is the second biggest value in -3\/2, 13\/3, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58 + 177?\nAnswer: 1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + h)*((1 - 1 - h**2)*(0 + 0 - 2) - 26*h + 26*h + 3*h**2) to x*h + t*h**3 + b + p*h**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**5\/20 - 2*b**4\/3 - 7*b**3\/6 - 5*b**2\/2 - 2*b. Let u be x(-4). Let q = 78 + u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 3, v: 5, i: 8, o: 2}. Give prob of sequence ouo.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81810 + -81810. Let t = -1672\/1035 + 104\/45. Is v <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1072 and -111\/1340.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60541 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 178902.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/4 + m**3 - 4*m. Factor p(x).\nAnswer: 3*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49614 divided by -6.\nAnswer: 8269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 763176 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from nrferrnoerno.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1.1, 3\/14, -2, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 6*j**2 + 10*j + 1. Let m be t(7). Let r = m + -7. Let i be (1 + -1)*4\/(-8). Solve a - 19 = 4*s - i*a, 0 = 3*s - a + r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-6))\/((-2)\/6). Suppose 2 = c - 0. Solve 4*v - c = r*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 154410*z + 1192122405 = 0.\nAnswer: 15441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-15)\/(j\/(j**(1\/2)\/j)))**(1\/18))**(-11\/3))**(-38) assuming j is positive.\nAnswer: j**(-2299\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - m + 2)*(4 - 5 - 1)*(12 + 23 - 7) to the form w*m + u and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 38 - 674 = -3*r, -2*r = -4*y + 2516. Let s be (y\/25)\/(-6) + 5. Let u be 5 + -1 + (-26)\/6. Which is the nearest to u? (a) s (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 313*y**2 - 19*y + 636. Let f(b) = -105*b**2 + 7*b - 212. Let h(u) = 3*a(u) + 8*f(u). Differentiate h(n) wrt n.\nAnswer: 198*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*x**2 - 1 + 123*x - 127*x - x**3 - 87*x**2 to the form w*x**3 + p*x + f*x**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 5:31 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 865409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2904666 - -1.\nAnswer: 1.2904666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 92 * 7.6\nAnswer: 699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-4)*b))**(-2\/85))**(1\/27)*(b\/b**(-6\/5))\/(b\/(b\/((b\/((b*b\/(b\/(b**(-2\/9)*b)))\/b*b))\/b)))*b**(1\/2)*b*b**(2\/23) assuming b is positive.\nAnswer: b**(587101\/105570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*y + 2410, 3 = -0*b - b. Let k = y - -3008. Let g = k - -74. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = h + t, 13 = -h - 3*t. Suppose 0 = 4*p + h*v - 102, -v - 126 = -5*p - 2*v. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 230 = 3*s, 2*g + 17 = 2*s - 115. Is ((-17)\/2)\/((-7)\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/3*153\/(-6). Let h be 6 + 1 + 0 + (-18 - -14). Calculate the greatest common divisor of b and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*s - 12 = 0, 24*t - 4*s - 10 = 26*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.105193*-1.5.\nAnswer: -0.1577895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-56 - -9) + (5 - -12 - 9).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 2*f - 4. Let l(j) = -j**2 + j - 2. Let d(z) = -2*i(z) + 4*l(z). Let s(c) = -11*c**2 - 2. What is s(d(b))?\nAnswer: -44*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15832 - -63331\/4. Factor 9\/4 - 9\/4*r**2 + u*r**3 - 3\/4*r.\nAnswer: 3*(r - 3)*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -0.3. Let b = -8\/13 + 82\/91. Let y = -198.2 + 198. What is the closest to -0.1 in a, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -30 = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence why when three letters picked without replacement from ywnwh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**11)\/n)\/((n**(-3)\/n)\/n))\/((n**(3\/46)\/n)\/n**(-1)) assuming n is positive.\nAnswer: n**(-233\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 24*b + 20*b = 23499, -z - 4*b = -4695. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 40 = 759*l - 745*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/46064 and -61\/143950.\nAnswer: 1151600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 108\/20 + 4\/(-10). Let u = 0 - -0.3. Put q, u, -3 in descending order.\nAnswer: q, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56 - -53)\/(-2 + (-873)\/(-437)). Which is smaller: m or 1299?\nAnswer: 1299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*d = 2*q + q + 16, -15*d = -0*d - 4*q - 31 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/((-1)\/(-21)). Let o = -12 + u. Let n = o - -9. Solve -3*z - n - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76950 = -2*i - 2*a, i - 4*a - 41734 + 3269 = 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 81 - 319 - 2 - 2 + 6 + (-2 + 0 + 3)*(-2 + 2 - 2))*(-3*o + 2 - 2)*(-1 + 2 + 0)*(-2 + 1 + 2).\nAnswer: 930*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 4. Suppose -5*n + 2 = -3, -4*g = -5*n + 33. Let v be x(g). Let z = 26 + v. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22117758 is divided by 21964?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - -1. Calculate the greatest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**8\/6 + 137*l**5\/60 + l**2 + 13*l. Find the third derivative of t(n) wrt n.\nAnswer: -3360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.52*6.6.\nAnswer: -3.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 10*s**2 - 3*s - 47. Let f be r(3). Sort 1, 2, f in increasing order.\nAnswer: 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 1\/3 (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.6 + 14. Let x(w) = -2*w**2 - w + 1. Let c be x(1). Let b = 0 - c. What is the nearest to -0.2 in g, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-126)*(-1197)\/(-665)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:49 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -545*b**2 + 66*b - 13. Let n(m) = 272*m**2 - 31*m + 6. Determine -13*n(g) - 6*r(g).\nAnswer: -266*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14516 (base 7) in base 3?\nAnswer: -12112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.05 (b) 189 (c) 1\/6 (d) -23 (e) 3\/5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47484641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from tyyuitiiuxxuyir.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1202221222221?\nAnswer: 1202222000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 101. Let t = a + -99. Suppose -t*j = -262 + 152. Solve 5*f = o, 3*f = 2*o + 3*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 268 = 1290. Calculate the greatest common factor of s and 3577.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 2. Let g be (-1 + (-6)\/(-4))*2. Let x(b) = -b - 1. Let m(q) = g*x(q) + i(q). Let s be (-3 - -2)*4\/2. What is m(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3))**40*(q**(-2\/5)*q)**(-1\/46) assuming q is positive.\nAnswer: q**(-18403\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -117, -167, -215, -261?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*w**3 + 43168*w**2 - 172648*w\/5 + 34528\/5.\nAnswer: -2*(w - 4316)*(5*w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21989, -43977, -65965?\nAnswer: -87953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Let h be 14\/28 - (-38)\/j. Let q(u) = u**2 - 8*u - 4. What is the units digit of q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 4*r**2 - 5*r - 3. Suppose 24 = 4*z + m + m, -4*z + 30 = 5*m. Give w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -2*o - 2*k, 0 = -3*o + 3*k - k - 158. Let p be (o\/75)\/((4\/6)\/(-2)). Solve 0 = -5*c - 3 - p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 2526 = -3896. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394510296.\nAnswer: 2, 3, 17, 966937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4 - 1 + 0*b + 1 + b. Let r be p(2). Let i = 7 + -3. Sort -5, r, i.\nAnswer: -5, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 6344017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/6 + 7*r**4\/3 + 35*r**3\/6 + 11*r**2\/3 = 0 for r.\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 z, and 1 d when four letters picked without replacement from {z: 4, u: 2, t: 2, d: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/10*-150*(-78)\/(-4)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 42\/5. What is the second biggest value in -2\/9, 6, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2. Let a be (-5)\/2 + 1 + 210\/4. Let t(x) = -41*x + 94*x - a*x. Calculate f(t(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 6012955*x + 318672570.\nAnswer: 5*(x + 53)*(x + 1202538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -187095, -187109, -187133, -187167, -187211, -187265?\n\"Answer: -5*r**2 + r - 187091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - p = 6834, -5*p + p = 4*a - 9096. Suppose 0 = -3*b + 3*v + a - 372, v = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.87 - -28.\nAnswer: 24.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/2 != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + -1*sqrt(162)*2 + -3*(1 + sqrt(162)))*-3)**2.\nAnswer: 6480*sqrt(2) + 145944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/5 - 962683*a\/5 - 962682\/5 = 0. What is a?\nAnswer: -962682, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78773 - 78798. Let u = 0.2 + 3.8. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/15 and 79\/37150.\nAnswer: 111450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 201 - 3681a?\nAnswer: -36619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2106 + -2105. Let v = -235\/4 - -59. Which is the closest to z? (a) v (b) -3 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -15. Let x be 50\/20*28\/(-10)*k. Calculate the highest common divisor of 434 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9574358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27863042 divided by -1\nAnswer: 27863042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7336098 by -4221.\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + h. Let r be d(-5). Let q be 2 + 1\/(-2)*-34. What is the greatest common factor of q and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-244)\/(-36) - (-6 + (-312)\/(-54)). Solve -w*m + 0 = 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l - l)*(11*l - 24*l - 27*l) + (l + 0*l + l)*(-9*l + 0*l - 6*l)*(-1 + 3 + 1).\nAnswer: -170*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34179 + -33765. Calculate the greatest common factor of t and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11)\/t*(t*t**(-3)*t)\/t)\/(t*(t*t**5)\/t*t*t**(-3)*t)*(((t*t**(-2\/5)*t*t*t)\/t)\/t**3)**(-15\/8) assuming t is positive.\nAnswer: t**(-311\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 3:08 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7689 and 3135?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*d*l**2*m + 4*d*l**2 + 173*d*l*m + 6*l**2 + 323*m wrt d?\nAnswer: -15*l**2*m + 4*l**2 + 173*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 1010?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + (sqrt(425) - (sqrt(425) + 5)))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 20 = 3*x + 1, 2 = 4*x + u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258603?\nAnswer: 3, 86201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.02, 4, -107.1, 1\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20763345 to the power of 1\/2, to the nearest integer?\nAnswer: 4557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/3, 2\/159, 3, 1\/2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 15, 0*g + 2008 = 3*z + 5*g. List the prime factors of 12*z\/27 - 4\/(-18).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 - 12*u**2 + 35*u**2 - 6*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 507900 to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142.0515 + -142. Let j = b + -3.1215. Let s = 3 + j. Do s and -2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*z + 16*z + 16*z)*(6*z + 2*z + 3*z)*(0 + 1 - 2).\nAnswer: -583*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4)\/((-42)\/49*-7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -150, -245, -376, -555, -794, -1105, -1500?\n\"Answer: -2*g**3 - 6*g**2 - 63*g - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7881449 <= -7881444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 107*l**2 - 2*l + 4. Let s(d) = -321*d**2 + 5*d - 13. Let r(w) = 2*s(w) + 7*v(w). Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.647.\nAnswer: -1.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61467?\nAnswer: 3, 7, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*y - 36. Let s be (-5639)\/4440 + 3\/y. Let t = s + 1\/296. Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/4*2\/3. Suppose 3*l + z = 19, 42 = 5*l - 2*z + 3. Solve -4*q - l = u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g*((g\/(g**13*g))\/g)\/g*g*g*g*g)\/g)\/g*g*g))\/(g*g\/(g*g\/(g**(4\/9)*g)))*(g**(-2\/11)\/g)**(-5\/4))**(7\/6) assuming g is positive.\nAnswer: g**(30583\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (-1)\/((-2)\/6) - (43 - 45).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1666?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135897709.\nAnswer: 19, 59, 121229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -269, -463, -657, -851?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 67. Let y(o) = o**2 + 3*o + 6. Let c be -9 + 3 + 1 + 0. Let v be y(c). Is v at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 14*u = -17*u. Solve 0*b + 11*b + 44 = u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1347\/14 + 6567\/70. Which is the biggest value? (a) u (b) -5 (c) 3 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 5*g - 2. Let j be ((-16)\/(-6))\/(4\/6). Suppose j*m = 2*m + 26. Let r = 17 - m. Determine o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49455467 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + z**2 - 7 + z**2 - z**2 + 2*z**2 - 3*z**2 + 0*z**2 + z**2 + (5*z - 3*z - z)*(z + 0 + 0) - 166 - 21*z**2 + 300 - 156.\nAnswer: -19*z**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195 - -132. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7841 is divided by 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 263\/48 >= 9507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.8075 or -2.016?\nAnswer: -5.8075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 + 9*a. Let r be q(6). Let j be (368\/6 - 2)*r\/(-20). Suppose -u - 33 + 190 = 2*c, -2*c = 5*u - j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 139. Solve -4*z = -z - y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*z + x + 35, -5*x - 50 = -5*z. Suppose z*n = 4*q - 35, 3*q + 3*n - 27 = 6*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: Suppose -3*b + 351 = 3*q, 5*b + 5*q = 2*b + 349. What is the remainder when 2593 is divided by b?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 1630?\nAnswer: 45640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719973121?\nAnswer: 7, 37, 56731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:48 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = 3*y + 31, -4*d = -5*y + 5. Let s = y + 3. Suppose 0 = g - s - 3. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 1:18 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 3*k + 13. Let t be r(5). Suppose 0*m + 5*m - 25 = -l, 3*l + t*m = 15. Suppose l = 4*y - 4 - 4. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 25*a + 30. Let w be z(26). Let m = -0.427 + 0.127. What is the nearest to m in -3\/4, -4\/9, w?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22114510.76475 - 0.5?\nAnswer: 22114510.26475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 12*j + 519. What is the remainder when 1255 is divided by h(-42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = -58. Calculate the remainder when 54 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.90467ug in tonnes?\nAnswer: 0.00000000009490467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -416, -3546, -12016, -28496, -55656, -96166?\n\"Answer: -445*h**3 - 15*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 = 3. Let x = 0 - t. Let y = x + 10. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 182212.3 decades?\nAnswer: 21865476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.02606, 2147?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -499161, -998289, -1497417, -1996545?\n\"Answer: -499128*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 48 = -0*o. What is the tens digit of ((-56)\/o)\/(1\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50714683.\nAnswer: 107, 149, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.12 (c) 2\/11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192 + 519. Is (-2)\/(-3) + z\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 497 = z + 230 + 244, -22 = -4*a - 2*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in 0.2, -4, 1\/4, -1\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 8*a + 3. Let m be j(-6). Let u(l) = 2*l - 15 + m. Let g(d) = 0 + 0 - 6*d - 21*d. Determine u(g(c)).\nAnswer: -54*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 + 444*m + 16428 = 0 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 6*v**5\/5 + 3*v - 2. Differentiate y(p) wrt p.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4 + 1 + p - 4*p - 6 - p**2. Calculate t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129839 is divided by 2319.\nAnswer: 2294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 43*d + 41. Let o be v(-1). What is the nearest to -1.2 in -0.1, 2, o, -55?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 0*s**3 - s**3 + (3*s - 6*s + 2*s)*(s**2 + 1 - 1) - 2*s**3 + 2 - 2 - 2*s + 7*s - 6*s**3 - 4*s to the form c + a*s**2 + b*s**3 + r*s and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, -3, -1 in descending order.\nAnswer: 14, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 16872.946 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/20108 and 25\/56?\nAnswer: 281512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 3*u + u + (1 - 2*u - 1)*(0 + 1 - 3))*(0*u + u + u) - 169*u**2 - 177*u**2 - 124*u**2 to j*u**2 + i*u + l and give j.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvlvvvvvvvavvvuula. What is prob of picking 2 u?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216) + 0)**2 - sqrt(1216).\nAnswer: 8*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -1 in descending order.\nAnswer: 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((sqrt(63)*1)\/sqrt(7)) + 4*(-4 + (sqrt(17) - (sqrt(17) + 3))).\nAnswer: -28 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/144 - -5833\/144. Let h be (-421)\/2*(1 - 3). Calculate the common denominator of (-2)\/(-10) + h\/(-30) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182*255\/20825)\/((-4)\/(-14)).\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44430339 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 417198958\/7 or 59599850?\nAnswer: 417198958\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0, 61, 0.0149, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 256288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a**2 - 2*a. Let q(w) = -286*w**2 - 39*w. Determine -4*q(b) + 78*z(b).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 184*f**2 + 63*f + 248. Is 15 a factor of s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 397\/7. Let y be (8\/6)\/((-49)\/(-21)). Which is the second smallest value? (a) 3 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11647541 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 - 2 = 0. Let m = -6.3 + 1.3. Let q = m + 2. What is the third smallest value in y, q, -2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4 + 28*c**3 + 52*c**2 - 12*c - 72 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.25\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 2001?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 3*z. Let h be w(-2). Suppose -2*c = 1 + 1. Let k be c + (-1 - -3) + 2. Sort k, -5, h in increasing order.\nAnswer: -5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0. Let v = 2.231 - 2. Let z = v + -7.231. Is z != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -2. Let d = n + 3. Let y = 0.03 + -0.33. Which is the third biggest value? (a) 0 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2669055*g**3 + 12391631*g?\nAnswer: -16014330*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 9*b + 0*b**5 + 0*b**2 + 0*b**4 + 143\/42*b**7 + 0 + 0*b**6 - 12*b**3. What is the second derivative of k(n) wrt n?\nAnswer: 2860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.5 (c) -4 (d) 225\/4 (e) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*w - 32030 = -3350 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(833))**2 + sqrt(17) - sqrt(68)*3 - (((sqrt(34)\/(sqrt(18)\/sqrt(9)))**2 - sqrt(17)) + (sqrt(17) - (sqrt(17)*-4 + sqrt(17))) + 0).\nAnswer: 20*sqrt(17) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/(x\/(x*x*x\/(x**(-1\/2)*x)*x)))\/(x**(-2\/7))**(-23) assuming x is positive.\nAnswer: x**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, f: 6, n: 1}. What is prob of picking 3 f?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/29 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11, 1.\nAnswer: 1, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.52 + 15. Let x = -7.7 + o. Round x to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-378)\/(-3969))\/(2\/15).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1180 and 35\/556?\nAnswer: 164020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 38. Calculate the lowest common multiple of 36 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.1. Let g be 24\/60*1*(-3)\/1. Let x = 103\/36 - 28\/9. Which is the closest to t? (a) g (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-10\/3)*z)\/z*z**(1\/7)*(z\/z**(-39))\/z*z\/(z\/(z*z*z**31)) assuming z is positive.\nAnswer: z**(1606\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * 27930\nAnswer: 4748.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 48 = 4*s, -21*t + 4*s - 52 = -19*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-132)\/(-28) + (-6)\/(-21). Suppose -3*z - 17 = -s. Let n(t) = 6*t + 30. What is the lowest common multiple of 30 and n(z)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 5*t**3\/3 + 40*t**2 + 320*t - 84. Solve q(z) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 6*f**2 - 6*f - 7. Let q be l(7). Suppose 8 = 4*x - q*x. What is the tens digit of 14 - (0 - (2 - x))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -612*d - 610. Let y be s(-1). Solve -2*m = 2*k, 44 = y*k - 5*m + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-77)\/63 - 6\/(-27). Let z = -51 - -54. Let k be z\/(2*-3)*(-2 - -10). Sort 1, k, 4, t in increasing order.\nAnswer: k, t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.9 and -3?\nAnswer: 48.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251 or -171?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.3137 weeks to nanoseconds.\nAnswer: 31639325760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = b, 36*p - 38*p = -6. Solve -b*k + k - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, q: 8, o: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10028 is divided by 173.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 132\/5 at most as big as 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -18*b - 68. Suppose 0*u + 3*u + 2*l - 90 = 0, 4*u + 3*l - 120 = 0. Calculate the remainder when u is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 4*c - 505, 0 = -4*c + 5*w + 513. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3548*b + 163161. Give q(-46).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1060, 2086, 3082, 4048, 4984, 5890, 6766?\n\"Answer: -15*u**2 + 1071*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-594)\/(-2656) - (-3507)\/(-18704)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -0.2 (c) -2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/(-6))*-5. Suppose -8*w + 3*w - 30 = 0. Let n = q - w. Solve -5*o = -4 - n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, z: 1, d: 16}. What is prob of sequence wzdz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8181*i + 95. Let z be l(-5). Let q = -48425 + 1452581\/30. Find the common denominator of q and (z\/(-84))\/53*(-22)\/50.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -427 * 44\nAnswer: -18788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5425 or -48.01?\nAnswer: 5425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 733.9024061 minus -7.2976?\nAnswer: 741.2000061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -5*u**6\/24 + u**5\/60 - u**4\/12 - u**2. Let w(t) = -t**2 + t - 1. Let j(k) = v(k) + w(k). Does 9 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7240 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 9 - 9)*(-2 + 0 + 0)*(3 + 0 - 4 + (-2 + 7 - 2)*(-11 + 6 + 3))*(-i**2 + 0 + 0).\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -841848668470.\nAnswer: -841848668469.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 347*f**2 - 383*f**2 + 3)*(f + 8*f - f).\nAnswer: -288*f**3 + 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1329, -1, -2, 6, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2754142702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**6\/10 - 33*a**5\/5 - 363*a**4\/2 - 2662*a**3 - 43923*a**2\/2 + 2*a. Factor k(s).\nAnswer: -3*(s + 11)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = -24. Let d(l) = m - 112*l + 0*l**2 + 106*l + 2*l**2. Let x be d(5). Calculate the highest common divisor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-37012)\/(-18) - (-45)\/(-30)*12\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836 - 8*n + 1295 + 629 + 139 - 379.\nAnswer: -8*n + 2520","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -11*r**2 - 2*r - 9*r + 10258*r**3 - 10274*r**3 - 11. Let q(n) = 5*n**3 + 4*n**2 + 4*n + 4. What is -4*m(a) - 11*q(a)?\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + 3*sqrt(128))**2.\nAnswer: 144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.5, -4, 0.7, -5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001001255 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9)\/z)\/(z\/((z\/(z*z\/z**(2\/33))*z)\/z)))\/(z**(-3)*z**(-1\/2)*z) assuming z is positive.\nAnswer: z**(-623\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**9*w*w)\/w)*w*w**(2\/27))\/((w*w\/w**1*w)\/w*w**11) assuming w is positive.\nAnswer: w**(-538\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/351 + 2\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*n - 25369346 = -4346767 + 3860576. What is n rounded to the nearest 1000?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919055 bigger than 919039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282649?\nAnswer: 53, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4075 divided by -555\nAnswer: -815\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -213898916 and -213898916 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z**2 + 64*z + 47. Let x(n) = -2*n**2 - 11*n - 8. Let k(f) = 6*l(f) + 34*x(f). Give k(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 6*l. Does 8 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**5 - 36269*w**4 - w**2 + 678*w + 190?\nAnswer: -20*w**3 - 435228*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -293.463691 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 935214?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 * -8.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4997 is divided by 47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 55 = -5*n, -16*n + 4*a = -11*n - 19. Calculate the greatest common divisor of n and 854.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 8:32 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 255513 + -8?\nAnswer: 255505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 741 - -94334?\nAnswer: 94a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17114\/9 or 1903?\nAnswer: 1903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 11) to base 8.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1025621.5467 to the nearest 1000.\nAnswer: 1026000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9533 = -14*j - 45*j + 117326. Calculate the greatest common divisor of j and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/(d\/(d*d**(-2\/13))))\/d*((d**11*d)\/d)\/d)\/(d**(8\/7)*d*d**3) assuming d is positive.\nAnswer: d**(610\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 432*t + 1. Let r be q(-4). Let d be ((-5)\/5)\/((-1)\/r). Is 2\/(-5) + d\/(-55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2882 + -2881.9. Which is the nearest to -6? (a) q (b) -0.4 (c) -1 (d) -1\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1512891 * 83\nAnswer: -125569953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - 2*m**5 - m**4 + (-2*m**3 + 3*m**3 + 0*m**3)*(-2 - 2 + 3 - 2*m**2).\nAnswer: -4*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1\/n)\/n**(-3\/2)*(n\/(n**(-1\/8)\/n))\/n*n**(-11) assuming n is positive.\nAnswer: n**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 10, 0 = -3*d + 12*a - 7*a + 100. What is the remainder when d is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1194456 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-2) - (-5)\/(-5). Suppose 3*v = -r*p + 280, v + 4 = 9. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -110 + -2 + (-1 - -2). Let n = -109 - b. Solve 3 + n = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 19. Suppose -q*v = -32 - 8. Calculate the least common multiple of v and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7597, -24 in descending order.\nAnswer: 7597, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6648 divided by -5\nAnswer: 6648\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210000100 + -22?\nAnswer: 1210000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 918610841 + -918610831.00000043. Let c = 10 - h. What is c rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223 + 155 - 93)*(-2*u + 4*u - u).\nAnswer: -161*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*f - 6399, 10*g = 9*g - 7*f + 2109. What is the least common multiple of g and 497?\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7476 + 7477. Put 2, v, 3, -16, -24 in decreasing order.\nAnswer: 3, 2, v, -16, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**46*(s**(-2))**(-34\/5))**(-38) assuming s is positive.\nAnswer: s**(-399\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 4*d**3\/3 - 100*d**2 - 636*d - 2666. Suppose x(l) = 0. What is l?\nAnswer: -3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11056698 divided by 14139\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w*w**5)\/(w**(-6)*w*w\/w**5))\/(w\/(w*w**(-1\/2)\/w)*((w\/(w\/(w\/((w*w**(1\/4))\/w)))*w)\/w*w)\/w*((w\/w**(1\/3))\/w)**5) assuming w is positive.\nAnswer: w**(137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74890 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20301, 19855, 19093, 18009, 16597, 14851, 12765?\nAnswer: 10333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = u - 1943, 30*v - 35*v + 2*u - 1946 = 0. Let p = -394 - v. Let n(j) = -18*j. Let a(z) = z. What is p*n(d) - 117*a(d)?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 261516 (base 7) to base 16\nAnswer: bded","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 135, -5, -21, 3 in descending order.\nAnswer: 135, 3, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let r(i) = -13*i + 7. Let j = 2 + -9. Let z(w) = 19*w - 10. Let t = -12 - -7. Let n(b) = j*r(b) + t*z(b). Determine -3*k(p) - n(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 3 (c) 2\/15 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -95488 and -15373413\/161 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(-8 - -10). Let n be 2 - (3 - (5 - v)). Solve -2*u - 10 = n*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5410844 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -10*g - 3. Let w = 0.2 - 0. Put g, -4, w in increasing order.\nAnswer: -4, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 7. Let a(q) = -q**2 - 2*q + 11. Let h be a(-4). Let l be n(h). Suppose l*y + f = -f + 372, -3*f = -2*y + 194. List the prime factors of y.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213196 - -116559. Let t = 96639.000008 + m. Let z = 2 - t. What is z rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4 - 126530*a + 126530*a - 208*a**2 + 4. Let f(h) = -9*h. Give w(f(r)).\nAnswer: -16848*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5900\/225)\/(-59) + (7\/42)\/((-3)\/(-146)).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pylyywypqwyy. Give prob of picking 1 w, 1 q, 1 l, and 1 p.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - 18\/180*50. Solve -38*g = d*i - 35*g + 6, 2*i = 4*g + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 + 86*r - 1024. What is the units digit of b(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -755 - -747. Let k = o + 571\/78. Calculate the common denominator of k and -121\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -14 in descending order.\nAnswer: 5, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/25 + -16\/25. Let n(t) = -51*t**2 - 7*t - 6. Let s be n(-3). Let x = -2229\/5 - s. Is o > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 4\/7 (c) -0.1 (d) 0.3 (e) -1\/3 (f) 1680\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 12*z**2 - 13*z + 8. What is the units digit of o(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330872 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -46*d + 2794. Calculate t(66).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -32*f - 16. Let z(r) = -16*r - 11. Let h(v) = 6*k(v) - 11*z(v). What is the remainder when h(-7) is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 + q**3 - 4*q**2)*(-4*q + 2*q + 3 + 0*q).\nAnswer: -2*q**4 + 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 1081, 1650, 2225, 2800?\nAnswer: 3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 15)\/(7\/(-1)))\/(18\/84).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 14. Let a(w) = -w**2 - 5*w. Let p(s) = -3*s**2 - 15*s. Let g(m) = 17*a(m) - 6*p(m). Calculate g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3704956 + -13.37049612. Let i = d - -8. Round i to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + t = -3, 3*t + 3 + 6 = 3*m. Differentiate -4 - 58*w + 58*w + m - 31*w**2 with respect to w.\nAnswer: -62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.21655 to two decimal places.\nAnswer: 31.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/12 - 1) + (-3714)\/2476 - (-220)\/(-693)?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986422235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + (-52)\/5. Let c be 12\/(-30) - 24\/s. Is c*(-1 + (-34)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:54 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 4, r: 3}. What is prob of sequence yykk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -179, -176, -183, -200, -227, -264?\n\"Answer: -5*r**2 + 18*r - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 2.58738.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52404*a**5*n + 2*a**3*n**3 + a*n**3 + 51*a*n**2 + 353*a wrt a.\nAnswer: 1048080*a**3*n + 12*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511 minus -14244681?\nAnswer: 14249192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -3*y + 5*j = -2*y - 3, x*y + 5*j = 9. Is 35*y\/(4 - 1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 169, 182, 195, 208, 221, 234?\n\"Answer: 13*x + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1771767*y - 1136. Let q be c(-8). What is q rounded to the nearest one hundred thousand?\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (-5 - -8) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 759273*k*t**2 - 514*k*t - 58*k wrt t?\nAnswer: 1518546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 46\/5*h**3 + 0 - 4\/5*h**2 = 0 for h.\nAnswer: -2\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11959973*u - 228. Let t(b) = -5979986*b + 116. Let s(m) = 4*g(m) + 7*t(m). Let h be s(-10). What is h rounded to the nearest one million?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*s**3*z**3 - 2*s**3 + 7*s*z**4 - 7*s wrt z?\nAnswer: -18*s**3*z**2 + 28*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:11 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1011212 (base 3) to base 12\nAnswer: 5b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = -5*j + 106, 3*t = -2*j + 83. Calculate the remainder when t is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-429317)\/(-4) + (-5 - (-380)\/80) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y + 2. Let s be z(0). Let m = -17196 - -17204. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 215.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222505 and 350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17*(-2)\/(-52) - 6\/39. Which is the second smallest value? (a) -1 (b) -3\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019561 divided by 6?\nAnswer: 1019561\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 52. Sort 6\/5, i, 0.2.\nAnswer: i, 0.2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3546 = -24*o + 67*o + 151*o + 3934 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014 a factor of 297440554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002170147 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**3 - 3*q**2 + 8 - 4*q**3 - q - q**2 - 5. Let w = 64 + -60. Let t be s(w). Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eubfpfq. What is prob of sequence upp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*p**2 + 2 - 4*p**2 - 3)*(12 + 20 + 0) as j*p + i*p**2 + y and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoy when three letters picked without replacement from sxhowhsyhhwwwwoh?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131945, 131645, 131343, 131039, 130733, 130425, 130115?\nAnswer: 129803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Let f = 40.6 - 41. Let w = 1 + -1. Which is the biggest value? (a) f (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 9 + 11*h**2 - 2 - 10*h**2 - 12.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -505.271 + 505. Let u = t + 0.27100128. What is u rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -0.02. What is the smallest value in 1\/3, j, 0.3, -2\/21?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/683 (b) 8 (c) 0.3 (d) -202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6394093*j**3 + 41*j + 26039.\nAnswer: -38364558*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706 (base 8) in base 15?\nAnswer: 8ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 55*j - 12. Let k(x) = -156*x + 34. Let c(g) = -6*k(g) - 17*t(g). Let q(a) = 2061*a**2. Give q(c(f)).\nAnswer: 2061*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:15 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33476.91 - -33477. Which is smaller: 102 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30930*d = -30960*d - 1410 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 17*y - 1. Let t be f(-17). Let h(u) = -28*u**3 + 2*u**2 + 3*u + 2. Let b = -11 - -27. Calculate the remainder when h(t) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4062375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**5 + 71*f**4 + 142*f**2 + 2?\nAnswer: 540*f**2 + 1704*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 - 110 - (-5 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*w = -111*w - 4398. Let v = w - -2604. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 5*u + 150 = 0. What is the smallest common multiple of u and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(432) + -1)**2 + sqrt(432))*4.\nAnswer: -48*sqrt(3) + 1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3182 and 6100190?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 20. What is the second derivative of 0*g - g**4 + 3*g**y - 2*g wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 53*r - 382. Does 3 divide z(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvbbvbvvbvvv. What is prob of picking 2 v and 1 b?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c + 2400000. What is c rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/10)*g*(g\/((g*g**(-12)\/g)\/g))\/g*g*g*g*g assuming g is positive.\nAnswer: g**(179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2621\/32 + 104927\/352. Let g = h - 216. Which is smaller: g or -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -1043, -1715, -2497, -3389?\nAnswer: -4391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**3 + t**2 + 2*t - 1. Let p(r) = -14*r**3 - 2*r**2 - 5*r + 2. Let g(i) = 17*c(i) + 6*p(i). Give g(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2783953\/8 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32283 + 32346. Calculate the remainder when 519 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6735305 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6 - (-160)\/(-15))*12\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -32*u**2 + 0*u**5 + 0 + 0*u + 7\/6*u**4 + 0*u**3 + 11\/30*u**6. What is the second derivative of y(c) wrt c?\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 1. Let r be c(-1). Let z = -7 + r. Let y = -233 - -228. Sort -1, y, z.\nAnswer: y, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14577 (base 9) to base 15.\nAnswer: -2e37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(0*g + g - 3*g) + 29563 + 29567 - 59128 + 10316*g to l*g + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-9))\/((-4)\/(-786)). Let h = 86 + k. Find the common denominator of 89\/15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 83, 179, 319, 509?\n\"Answer: m**3 + 13*m**2 + 12*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1447 + 1612 = 0. Let c be (-18)\/h - (3 + (-608)\/187). Suppose -2*g + 4*x + x = 18, -3*g - 1 = -x. Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:18 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1913.4 + 1912.4. Let j = -7 - 2. Which is the biggest value? (a) 2\/11 (b) z (c) j (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/(-6) - 18774\/(-5616) and 75\/88?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 - b83?\nAnswer: -c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 18*z**2 - 3434*z - 54408. Determine p(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20493, -40949, -61365, -81741, -102077, -122373, -142629?\nAnswer: -162845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*k = -243, 237*p - 233*p + k = 249. What is the remainder when 881 is divided by p?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 4, r: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28bcc (base 16) to base 9\nAnswer: -273800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 7:09 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.51 - 1.51000091. What is m rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 less than or equal to -356031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -20\/13?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucuucuuuuccuuuuuuuu. What is prob of picking 2 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -193.16*4\nAnswer: -772.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 3. Let b be i(0). Let x(k) = k - 1. Let o be x(b). Determine n so that -3\/2*n**3 + 0 + 3\/2*n**o - 1\/2*n + 1\/2*n**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 10*y + 21. What is the units digit of d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 4)*(-1 + 1 - 3)*(3*h - 3*h - 2*h).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42902503697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10036 and 11804.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 39 = -2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(102)*-5)\/(-5*(sqrt(6) - sqrt(24)\/sqrt(4)*-2)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 13*a - 707. Let s be d(-50). Let w(z) = -4*z + 3. Let j be w(2). Is (0\/(-2) + s)*j\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 273 = 285. Let l be v - (-4 - -6)\/2. What is g in 9 - 12*g + 13\/4*g**l - 1\/4*g**3 = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -10 - (-45 + 44)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -669*s**2 - 3*s - 23. Let y be o(6). Let a be (38750\/6)\/5*-27. Let v = y + a. What is v rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 12 = 0. Let p be 21 - (-1 + 1 + 12\/3). Suppose 0 = -g*t + 23 + p. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 12. What is the least common multiple of c(0) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2970 and 176?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 - 2717992757\nAnswer: -2717992757.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17))*5 + 3*(-1 + sqrt(17)).\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d + 1. Let o be j(-1). Suppose -170 = -3*n + o. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13021*m + 13086. What is r(-1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 6*g - 6. Let t(z) = 5*z - 5. Let l(v) = 5*h(v) - 6*t(v). Let x(r) = 2*r**2 + 8*r**2 - 9*r**2 + 2*r**2. What is x(l(m))?\nAnswer: 75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/4*4\/(-6) + 13. Suppose 0*u = 3*d + 4*u - 19, -4*d + 5*u = -v. Which is the closest to -2? (a) d (b) -15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**3 - 24839*b**2 + 24835*b**2 + 12*b**3 - 4 - 4*b - b**3. Let q(i) = -17*i**3 + 3*i**2 + 3*i + 3. What is 3*f(t) + 4*q(t)?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2741*p**2 - 2687*p**2 - 3 + 3.\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56185.\nAnswer: 5, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 + -1256\nAnswer: -1255.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 28. Let w(i) = -i - 9. Let q be w(0). Let v be r(q). Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 547 - 544. Factor 2\/7*g**2 - 1\/7 + 1\/7*g - 1\/7*g**4 - 2\/7*g**u + 1\/7*g**5.\nAnswer: (g - 1)**3*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 41009 = 7*b + 41208, 4*l = 5*b + 155 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.46881 months in years?\nAnswer: 2.5390675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*z**5 + 2*n*z**2 - 8*n*z + 17*n + 599*z**5 + 14*z wrt z?\nAnswer: 40*n*z**3 + 4*n + 11980*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - -3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/12*(18\/(-12))\/(-1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -4. Let p(x) = 4 - s*x + 3 - 2. Let a be p(-5). What is the greatest common factor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6256 = -49*j + 17036. What is the lowest common multiple of 420 and j?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 38. Let m be y\/(-15)*(3 - 4). Sort -3, -1, m.\nAnswer: -3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3008389810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwn when three letters picked without replacement from wnkknnnnnnnwn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 364*p - 3182. Give c(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56312, 225240, 506792, 900974, 1407792, 2027252?\n\"Answer: l**3 + 56306*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2723*g**2 - 46*g + 48. What is the units digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52976 is divided by 26385?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 7. Let p(r) = -r + 17. Let o(v) = -v + 16. Let f(n) = -3*o(n) + 4*p(n). Let m be f(11). What is h(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f + 82. Let a(y) = -8*y + 55. Determine -8*a(q) + 5*w(q).\nAnswer: -q - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 387 = 405. Solve g*m + 5*l = 4*m - 19, -m + 15 = -4*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 - -289. What is the highest common factor of 63 and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42.6 - -31.6. Let g = 0.38 - 10.88. Let o = q - g. Sort -1\/4, o, 0.4 in ascending order.\nAnswer: o, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1330917122*v**3 - 41255908*v**2 - 2*v wrt v.\nAnswer: 7985502732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049217.\nAnswer: 3, 13, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-1 - 0)*7. Let l = 2 - a. Let p(v) = 2*v - l - 11 + v**2 + 19 + 0*v**2. Determine p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:13 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**3\/6 + z**2\/2 - 2*z + 4. Let v(y) be the first derivative of j(y). Let n be 1*((-84)\/1)\/(-12). Give v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -545*g - 3. Is v(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14100 - 6*x**3 - 11889 + 3*x**3 + 0*x**3.\nAnswer: -3*x**3 - 25989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 1448*o**2 - 128956*o + 127512.\nAnswer: -4*(o - 207)*(o - 154)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5550 = -6188*h + 6038*h for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433643 is divided by 199?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(8 - 0) - 22\/4. Let p = -13 + 5. Let f = l - p. Solve -f*h - 1 = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 10 + 13 + 25068*m.\nAnswer: 25068*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s - 10*s + 143740. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 10 - (-3804465)\/(-58520)?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-543 + 281 + 269 + 148*n**4).\nAnswer: 148*n**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336 by 4.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 2*k**3\/3 + k**2 + 23*k. Let f be n(0). Is f - 2*(-4866)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -14. Let s(i) = -i - 4. Let u be s(-4). Suppose u = -6*j + j + 5, 0 = -5*k + 2*j + 88. What is the smallest common multiple of k and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -234228033.54768 and -5.\nAnswer: -234228038.54768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -65*a + 6105. Let u be f(94). Sort -2170, u, 2 in increasing order.\nAnswer: -2170, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 153*l - 96*l - 26652. Calculate the highest common divisor of 180 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 2. Let j(n) = 11*n**3 - 45*n**2 + 8. Calculate -j(v) - 4*s(v).\nAnswer: -11*v**3 + 37*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2 - (-8 + 8))*8. Suppose 0 = -q + y, 3*q = 2*n + 8*q - 26. Suppose 12 = -w - n*v + 3, -w - 5*v = 13. Sort 0, 4, w.\nAnswer: w, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*j - 20 = 0, -16 = 4*b - 17*j + 13*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 47*j**2 + 46*j - 64. Determine g(46).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.13 (b) 3\/10 (c) 48 (d) 4\/7 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77.386 and -0.15.\nAnswer: -11.6079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -4, -0.04, 1, -0.4, 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiii. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.08, 8\/3, 4\/5, 40, -1\/2 in decreasing order.\nAnswer: 40, 8\/3, 4\/5, 2\/9, -0.08, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*o**2*p**2 + 137*o**2*p + o**2 - 7*o*p**2 - o - 5*p**2 - 33*p wrt o?\nAnswer: 42*p**2 + 274*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 1 + 1 + (-4 + 0 + 2)*(2*g + 2*g - 8*g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035078 is divided by 172478?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 12, -5*v + 7 = 3*n + n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -15541956?\nAnswer: -1\/15541956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -35636.4355 to the nearest 100.\nAnswer: -35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744 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 n = -122 + 128. Let y(a) = -2*a + 3 + 5*a + 2*a**2 + 2*a + 0*a**2 - 3*a**2. Determine y(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from {c: 1, n: 2, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -11*w - w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 36*t**2 - 69*t - 4. Give s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 5*o. Suppose 7*p = o*p + 20. Suppose 4*a + 65 = d + p*d, 2*a = -4*d + 52. What is the highest common factor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8811 or 8802?\nAnswer: 8811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 474*k + 477.\nAnswer: -3*(k - 1)*(k + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46977028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 31880940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27890 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 11553, -2, 18.\nAnswer: -2, 13, 18, 11553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36248 and 2438?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -201.1?\nAnswer: -200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 1, -43, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1325, 21\/17, -2, 0.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.978g in nanograms?\nAnswer: 633978000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(2\/3)))\/q)**(2\/47)*(q*q*(q**(-3\/4)*q)\/q)\/((q**(-2\/7)*q)\/q) assuming q is positive.\nAnswer: q**(5839\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -3. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -455.0000489 + 455. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4412.085km to micrometers.\nAnswer: 4412085000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 + 71*q**3 - 139*q**3 + 4 - 1 + 67*q**3 - 7*q. Give v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 + 105?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.00292863 minus -800?\nAnswer: 728.99707137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1309 + 2662. What are the prime factors of k?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102065 (base 9) to base 7\nAnswer: 341402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbjbjbjjbjjjjj.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) + -1 + sqrt(1584))))*3 + 6*(sqrt(1584)*-1*3 + sqrt(1584)))**2.\nAnswer: 864*sqrt(11) + 228105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 13. Let h(a) = 2*a - 9. Let b be h(6). Let c be b - ((-1 - 0) + u). Solve 9 = -6*z + c*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j - 32. What is the remainder when x(13) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 7*c**2 + 6*c + 6. Is 5 a factor of x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*v - 21, 0 = -3*p - 2*p - 5*v + 5. Let i = -3 - p. Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 3*a**2 + 2*a**2 + (19*a + 30*a - 4*a)*(-3*a + a + a) to the form t + z*a**2 + n*a and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**2 + 39*h - 19. Let q(g) = 26*g**2 - 77*g + 39. Let z(a) = -5*f(a) - 2*q(a). List the prime factors of z(-14).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 12 = -10*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40351.71 and -358474641.\nAnswer: -358434289.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -277, -295, -315, -337, -361?\n\"Answer: -d**2 - 15*d - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*d**3\/5 + 5511404*d**2\/5 + 92609129592*d\/5 + 4517452944.\nAnswer: 2*(d + 33606)**2*(41*d + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2303130 (base 7) to base 6\nAnswer: -10051510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:35 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 553?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let n be (y - (3 + -2))*6. Let f(p) = -3*p + 14. Does 21 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*v - 3*u, -5*u + 11 = -4*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 42\/6 - (-18)\/6. Suppose 5*o + r = -3*u, -41 = -o + 3*u - 28. What is the nearest to -0.1 in -1, 18, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 4*r**3 + 4*r**3)*(-3*r + 3*r + 4*r).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58879 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h + 11. What is the remainder when 164 is divided by s(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 1. Let l(d) = -5*d - 2. Let u(m) = 4*g(m) - l(m). Let o(i) be the third derivative of -i**4\/8 - 13*i**3\/6 - 283*i**2. What is 6*o(v) + 13*u(v)?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/15*(23 + -18). Let m be (-26)\/3 + g - -8. Sort -4, m, 8, 0.2 in decreasing order.\nAnswer: 8, m, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + (-28)\/24*-2. Solve r*n + 0*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210 or -2\/1623?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -a - 4*b, 2*a = 2*b - 4. Is -6\/35 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/3830?\nAnswer: 1\/3830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1927 smaller than -631791\/328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427845874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 109.7. Let f = -0.021 + 5.421. Let n = f + -5.6. What is the second smallest value in n, 3\/5, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32, -1\/10, 3, -10, -3, -2\/7 in descending order.\nAnswer: 3, 0.32, -1\/10, -2\/7, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 = 3*m - k + 312, 0 = 3*m - 2*k - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 - (313 - 81) - -42.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400450 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 7197\/(-165)) + (-104)\/130. Which is bigger: 42 or g?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (129 - (107 - -40))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12353355 (base 6) to base 9.\nAnswer: -674868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) 0.3 (b) 47\/2 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -31. Let v = -1 + n. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43263 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1434*q + 41082 = -5408 - 33814 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 70. Let b be 1\/1 + (-4)\/10. What is the nearest to r in 2, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffxf when four letters picked without replacement from {f: 4, p: 7, x: 6, t: 2, a: 1}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 5*f + 5. Let p be t(-5). Let l be 12 + (8\/(-2) - -1). Solve -l = -p*c + 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -954035232 + 0.8.\nAnswer: -954035231.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.04 - 0.04. Let i = -140646 + 140646. Sort i, -0.05, -0.7, l in descending order.\nAnswer: l, i, -0.05, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24971 (base 12) to base 11.\nAnswer: 34431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99*m + 89*m + 140*m)*(3*m + 3*m - 7*m) as h + y*m**2 + b*m and give y.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(560)\/sqrt(5).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 26?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8*c + 0)*(-6 - 1 + 1)*(c**2 - 5*c**2 + 3*c**2).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*d**2 - 1215*d + 117*d**2 + 3870*d**3 - 176*d**4 - 3131*d + 474*d + 2*d**5 = 0.\nAnswer: -1, 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23, -0.3, 0, 1, 1\/8?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 411 and 1026990771.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 - 2 + 8 - 7*l + l. Let k(q) = 5 - 4*q - 2 + 0. Suppose 3*g + g - 20 = 0. What is g*v(s) - 8*k(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:55 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -1.823?\nAnswer: 4.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143966261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 + 45)\/(176\/(-8))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2856 and 36117214.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 2*a**2 + 2*a + 8. Let r be h(0). Suppose -4*t - 3*d + 4*d = -165, 4*t + 5*d - 183 = 0. Solve -r*z + 2 = t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -v, -4*v + 11*s - 10*s + 41 = 0. Suppose 2*k = 4*k - 2. What is the lowest common multiple of v and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 62*f + 366. What is z(-3)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -457 + 681. Let d = 977 + -528. Let u = a + d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688*c + 689*c + 541 = 0. Let u = c + 545. Let o = 4 + -4.4. What is the third smallest value in o, -6\/7, -5, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 + 63*c**3 + 2*c - 21606.\nAnswer: -72*c**2 + 378*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 2*h + 2. Let f(z) = z**2 - 23*z - 41. Let w(k) = -f(k) + 4*m(k). What are the prime factors of w(-19)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 17 + 39. Solve 2*s**4 - 2*s**2 + 2*s**4 - j*s**3 - 6*s**2 + 10*s**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/24 + 74\/(-8))*((-153)\/34 + 5).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66539 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 + 2628*t**4 - 3472779*t**3 - 3496426*t**2 + 27771660*t + 41704776 = 0 for t.\nAnswer: -3594, -2, 3, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {e: 2, t: 2, o: 7}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3423 and 4401.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 3*d - 1. Let g(b) = 3*b. Let r be g(-1). What are the prime factors of s(r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/68)\/((10\/(-60))\/((-1)\/(-4)))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1365969, -2731947, -4097927, -5463909, -6829893, -8195879?\nAnswer: -9561867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/288 and 167\/240?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-16)\/6)*8\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748826288 by 15512.\nAnswer: 48274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 - 33*s**3 + s**3 + 37*s**3 + s as k*s**3 + p*s + g + r*s**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3)*(-8 + 111\/15). Let f = -19 + 23. Put f, 8, h in descending order.\nAnswer: 8, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {m: 11, t: 6, f: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 l when four letters picked without replacement from lllvvvvvvvvlvvlv?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 - -206. Which is smaller: y or -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 16*f**2 - 1602*f + 13335. What is a(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 248507000 to the nearest one million.\nAnswer: 249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36776 + 13?\nAnswer: -36763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 7 - 1)*(-6*c**2 + 6*c**2 + 10*c**2).\nAnswer: -330*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.7, -9, 2\/21, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29099 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-512)\/24) - (6745\/(-120) + 10\/12)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*a - 5320 = 467823, -2*f + a = -473163. Let h be 3*-1 + f\/(-7). What is h rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -1934, 0.062, 0, 1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13112 and 7112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (139 - 2) + (-1 - 1). Suppose 2*o - a = 85. Suppose -4*q + 3*b + 8 = -23, -3*q + 3*b + 21 = 0. What is the highest common divisor of o and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 488*f**2 + 6561*f**2 + 2204*f**2 + 6864 with respect to f.\nAnswer: 18506*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -455 and 98730.\nAnswer: -44922150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.758 minus 698?\nAnswer: -694.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -1001100100001101111110?\nAnswer: -1001100100001101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 42 = -t, 205*m - 217*m + 16*t = 476 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16\/51 + 46\/255. Let c be -4*((-13)\/16 + 1). Put -0.3, c, q in ascending order.\nAnswer: c, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6636608 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g**2 + 51*g - 49. Let a(y) = 3*y**2 - 13*y + 12. Let m(o) = -9*a(o) - 2*f(o). Let u be m(5). Solve -t + 4*z = -24, -6*t + t = -4*z - u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**2 + 0*c**2 - c**2 + (-4 - c + 4)*(-2*c - 4*c + c) + 29*c**2 + 128*c**2 - 65*c**2.\nAnswer: 103*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52776 and 432.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v. Let q(l) = 3*l + 2. Let a be 341\/(-11) - (3 - 1\/1). Let i(p) = -48*p - 33. Let x(f) = a*q(f) - 2*i(f). Determine x(d(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdkdmjw. Give prob of picking 1 j and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -7. Let i = -9 - v. Is (-14)\/21 - 160\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1589*l - 21. Let k(w) = 159*w - 2. Give 21*k(r) - 2*n(r).\nAnswer: 161*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = d - 1 - 9, 3*d + 4*p - 30 = 0. Solve -4*r - d = -3*y - 0, -6 = -3*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 0.6, -3\/2 in descending order.\nAnswer: 72, 0.6, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/27)\/h)**(-2\/55) assuming h is positive.\nAnswer: h**(58\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -49 - (118 - (55 + 60)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387539 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397410*b**3*d**3*f + 2*b**2*d**2 - 48423*b*d**3 - 5*d**2*f wrt b?\nAnswer: 2384460*d**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 433891720.442219 + 221.557781. Let x = 433891917.9999989 - t. Let k = 24 + x. What is k rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1367, -2720, -4055, -5366, -6647, -7892, -9095, -10250?\nAnswer: -11351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.2, -15, -0.1, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/25 and 38\/1065?\nAnswer: 5325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0*k + 2*k - 1 = -k, -11048*z - 100 = -11053*z - 13*k for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 46 + (5 - (16 + -10) - 12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 160, 350, 664, 1102, 1664?\n\"Answer: 62*p**2 + 4*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from srsrsrskksrr?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113\/53 + 1349\/583. What is the biggest value in r, 738\/5, -3?\nAnswer: 738\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*r - 6*r + 690, -d + 230 = 6*r. Sort d, -7, -3 in decreasing order.\nAnswer: d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i. Let h = 2.01 - 0.01. Sort i, 0.5, h in descending order.\nAnswer: h, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -7*z**4\/12 - 11*z**3\/6 - 9*z**2 + 16. Let r(t) be the second derivative of y(t). What is the first derivative of r(a) wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v + 1107. Calculate x(-101).\nAnswer: 1612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1000 by 2.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1828.92126 rounded to 0 decimal places?\nAnswer: -1829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75c (base 16) in base 12?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1890800\/(-58680))\/((-10)\/(-18)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let y(x) = 16*x. Let a(n) = -9*n. Let l(z) = 5*a(z) + 3*y(z). Give -2*l(g) - 5*p(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 10. Suppose 0 = k - 1, 2*x + 2*k = 204. Calculate the remainder when x is divided by b(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -35. Let c(g) = g**3 + 13*g**2 - g - 9. Let x be c(-13). Solve -x*v + f*v - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.07, -5, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217551 + 1737551. What is n rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1734 + -1722. Solve -3*f + 5*a = -1, 5*a = 4*f + 9*a - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - ((1 - 15) + 51 + -41).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 173, 162, 135, 86, 9, -102, -253, -450?\n\"Answer: -h**3 - 2*h**2 + 2*h + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23127\/22 - 1051. Let n = -80 - -1763\/22. Let d = k - n. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8685, 17302, 25919, 34536?\nAnswer: 43153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*m + 10, -5*a + 6*m - 17 = 2*m. Let o be 13 - (1 + (-1)\/a). Let i = -22 + 27. Solve i*y = -3*v + o, -2*v + y + y = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 24*z**2 + 2*z + 52. What are the prime factors of h(-8)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 187*h**3\/8 + h**2\/2 - 187*h\/8 - 1\/2.\nAnswer: (h - 1)*(h + 1)*(187*h + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2823, -2822, -2821, -2820, -2819, -2818?\n\"Answer: p - 2824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54118734.\nAnswer: 2, 3, 9019789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0 - 10*a**2 - 6*a + 0 - 6 + 12 - 2*a**3. Let m be f(-4). Sort m, -4, -3\/16 in ascending order.\nAnswer: -4, m, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:09 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 + 6*v - 6. Let a be z(4). Let p(t) be the first derivative of -3 + 2\/9*t**a + 0*t + 2\/9*t**3 + 1\/18*t**4. Factor p(c).\nAnswer: 2*c*(c + 1)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:46 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*a**2 - 28*a + 54*a - 24*a**3 - 25*a to w*a**2 + n + t*a + o*a**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 171*n - 1. Let x(h) = 168*h. Give -2*c(u) + 3*x(u).\nAnswer: 162*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g + 3*j, 2*g - 17*j + 8 = -15*j. Solve g = 6*t - 4*t + m - 2, 4*t - 5*m - 32 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165372, 165318, 165238, 165132, 165000?\nAnswer: 164842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.825798 meters in micrometers?\nAnswer: 2825798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-120)*(-6)\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.14 and -1662261628.5.\nAnswer: -1662261628.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 103027.8m?\nAnswer: 103027800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + m**2 + 2*m)*(m - 7*m**2 - m) + (28 - 31 - 78)*(3*m**4 - 4*m**3 + 4*m**3) in the form y*m**3 + a*m + g + d*m**4 + l*m**2 and give d.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (-1 + sqrt(252))) + sqrt(7) + (-5*(sqrt(7) + 0) - sqrt(7)) + -5*(sqrt(343) + (sqrt(343) + -2 - sqrt(343)) - sqrt(7)))**2*-1.\nAnswer: -8696 + 770*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/8 + 7\/(-2). Let p = 13 - -1. Let w be p\/(2\/(-3)*d). Solve 4*q + 9 + w = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:31 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66455043\/7 + -151916167783\/16002. Let g = -1\/254 + t. Let j = -40\/9 + g. Put -5, j, 1 in increasing order.\nAnswer: -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(16*k + 9*k - 13*k) + 2*k + 2*k - k + (-1 - 2 + 2)*(4*k - 6*k + 4*k))*(3 - 2 + 0).\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*x = -c, -15 = -c + 3*x. Suppose -2*h + 3*v - 9 = -2*v, -5*h - c = 4*v. Put 11, -1, 0, h in descending order.\nAnswer: 11, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -55 and -70.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -46. Calculate the least common multiple of ((-76)\/r - 3)*(1 - -34) and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.57 + -2.53. Let m = h + 26.7. What is the second biggest value in 1\/11, m, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -136, -250, -364, -478?\n\"Answer: -114*k + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 589, 1157, 1725, 2293, 2861?\nAnswer: 3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffswfwfffsofofffoof. Give prob of sequence fo.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*i**3*n - 694*i**3 - 309005*i**2*n - 41078 wrt n.\nAnswer: 52*i**3 - 309005*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4725 - -4?\nAnswer: 4731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - n = 3*x - 15, -20 = 4*n - 4*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - k**4 - 4 - 2*k + 67*k**3 - 68*k**3 to the form l + x*k**3 + q*k + d*k**4 + c*k**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1133585 or -1133588?\nAnswer: -1133588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96720800 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(-4\/7)))\/c**(-8\/7))\/(c\/c**0)**(6\/5) assuming c is positive.\nAnswer: c**(53\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3228\/5 - 650. Which is smaller: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.06134 kilometers in nanometers?\nAnswer: 35061340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/33)\/4 - ((-832048)\/616308 - (-4)\/6)\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220230133 - 1?\nAnswer: -220230200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/55 - ((-110)\/(8 - -2) - -10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose m = k*m - m. Let z(n) = -4*n - 1. Let t be z(-1). Which is the nearest to 1? (a) t (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/18)\/(3*(-100)\/(-90)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 1\/60*u**5 + 0 - 1\/2*u**4 - 2*u - 11\/6*u**3 - u**2. Give m(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1751067 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:27 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (988 - 998)\/(4\/12666). Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 + 51098*u**2\/5 + 326452334*u\/5 + 978897174\/5.\nAnswer: 2*(u + 3)*(u + 12773)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/230 and 27\/4?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c**2 + 89*c - 648. What are the prime factors of r(50)?\nAnswer: 2, 113, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*c + 56, -5*c + 3*a = -8*c + 66. Suppose 2*d - c = i - 3*i, -5*d + 25 = i. Suppose -157 = -i*b + 18. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 3*u**2 - 3*u - 1. Let f be k(-2). Calculate the remainder when 2\/(-9) + (-434)\/(-9) is divided by (-34)\/(2*(f + -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {p: 3, c: 1, e: 1, v: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r - 82*r**2 - 168*r**3 + 76*r**2 + 164*r**3 + 6*r**2.\nAnswer: -4*r**3 - 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 7. Let o(s) = 3*s**2 - 5*s - 2. Let f be o(i). Let k be 2\/(-4) + (-6)\/f. What is the second smallest value in -0.05, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/((3\/(-36))\/(138\/(-184))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/5)\/o)\/(o**(-4)\/o) assuming o is positive.\nAnswer: o**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 - -157 - (-1 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - (sqrt(117) + (sqrt(117) - 5*sqrt(117)*4))) + sqrt(117))\/(sqrt(9) + (sqrt(288)\/sqrt(8))\/sqrt(4))*1.\nAnswer: 21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1297666 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2609.5 - -2609.1. Sort 0, 4, 0.1, q, 37 in decreasing order.\nAnswer: 37, 4, 0.1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*h + 33 = 0, h + 3*h = 12. Let w be (-54)\/(-13) + (-2)\/b. Solve w - 28 = -2*z + 5*u, -2*z + 8 = -u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232138774*y**4 + 2*y**2 - 287*y + 76712 wrt y?\nAnswer: -5571330576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -34*b - 259. Let y be w(-8). What is the highest common divisor of 2483 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, k: 1, d: 1, i: 1, f: 2, s: 8}. Give prob of sequence sdki.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 7*o - 8. Let i(u) = u**2 - 8*u + 10. Let g be (1 + (14 - 0))*(-13)\/39. Let q(p) = g*s(p) - 4*i(p). Let n(r) = 2*r. Give q(n(y)).\nAnswer: 4*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 r when three letters picked without replacement from {r: 2, e: 4, l: 2, d: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8810 - -14660. Is (20\/(-3))\/((-52)\/y) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 511, -15, -2\/13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Suppose 4*j = r - 3, 3*r + 5 - 2 = 0. Let b = j + k. Solve 0 = -2*s - b*m - 22, -4*m = -5*s + m - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1878 and -163\/21624.\nAnswer: 6768312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Suppose -m - 2 = -10. Let j = m - 6. Let o(w) = -50*w - 51*w + 101*w - w**j. Give o(l(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8563 by -1421.\nAnswer: 8563\/1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 28216?\nAnswer: 366808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -21*p + 22. Let q(u) = 11*u - 12. Let d(o) = 11*o - 12. Let c(a) = -5*d(a) + 6*q(a). Let v(l) = -11*c(l) - 6*i(l). Let g(t) = -2*t. What is g(v(y))?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 47 + 6 = 0. Let j = 1161 + y. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659143 take away -5?\nAnswer: -659138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2 (c) -2 (d) -42\/25 (e) 2\/9 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 12:57 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 25597?\nAnswer: 383955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**7\/5040 + p**5\/60 + 3*p**2. Let c(a) be the third derivative of u(a). Calculate the least common multiple of c(-3) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2260\/565 - 4\/(1\/1)) + -17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21387*s**4 + 94452*s wrt s?\nAnswer: 256644*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1469, -4924, -10351, -17738, -27073, -38344?\nAnswer: -51539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.97 + 3.97. Which is smaller: x or -0.0603?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Suppose 0 = -0*v - 4*v + r. List the prime factors of (-3)\/((1\/(-2))\/v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303*694.9\nAnswer: -210554.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4107581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-90))\/((-2)\/(-12))*-15*(-24)\/(-72).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - b1?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -167, -145, -103, -35, 65?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*2\/(-4) + 22. Suppose -4*g = -k - 72. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(1*sqrt(13) + -3))**2 - ((-1*sqrt(156)*-4 + sqrt(156) + sqrt(156))\/(sqrt(108)*-3))**2.\nAnswer: -216*sqrt(13) + 7076\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f + 33. Let h(m) = m**2. Give h(q(j)).\nAnswer: 25*j**2 + 330*j + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6*s + 72. Suppose 0 = s*q - 18*q + 27. Suppose 0 = 2*m + 4*u + 14, -q*m + m + 3*u + 21 = 0. Solve 4*r - m = c, -c + 3*r = -4*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.49 - -0.19. Let a = -11.3 - -4.1. Let d = a + 7.1. What is the nearest to d in y, 3, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*f + 396*f - 791*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23738 is divided by 4741?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3 - 1. Let t(u) = 1 - 3 + v + u. Let o(l) be the first derivative of -l**2 + 4*l + 1. What is -o(a) - 3*t(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 divided by 15?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1410 * 1.1\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k + 32. Let r be c(3). Sort 3, r, 5 in increasing order.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1365\/325)\/(-7)*((-160)\/102)\/4.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 6*n**4 + n)*(1 + 2 - 2) + 5*n**4 - 2*n**3 + 2*n**3.\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3\/3 - 17*a**2\/2 + 33*a + 1. Let t be o(15). Solve 0 = t*v + 2 + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:38 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 588, 596, 616, 654, 716, 808, 936, 1106?\n\"Answer: d**3 + d + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 3*u - u**2 - 8*u + (-u + 6*u - 4*u)*(u + 5 - 5) + u**2 + 5*u**2 - 5*u**2.\nAnswer: u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 10. Suppose l*s - 4329716 - 29600284 = 0. Round s to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.63 + 7.63. Which is the smallest value? (a) 0.3 (b) 2 (c) 0.4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-13)*z)**(7\/6))**(-28\/5) assuming z is positive.\nAnswer: z**(1078\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*(-828)\/30. Let h = -13 - s. What is the common denominator of h and (2\/16*62)\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.033823\nAnswer: -0.0135292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -80836464034 take away 31?\nAnswer: -80836464065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 661 * 2.566.\nAnswer: 1696.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*t - 13 = 0, 3*t + 3 = -m + 2*t. Suppose -m*y - y = -15. What is the second biggest value in -3, -4, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:46 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 15*f + 37. What is u(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -200*k - 584. Let t be f(-3). Let y(v) be the first derivative of 1\/2*v**2 + t + 0*v. Let p(q) = -4*q. Determine p(y(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 32895.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 1.4\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 9*j**2 - 6*j - 4. Suppose -c = 7*c + 40. Let a be i(c). Sort a, 0, -5 in increasing order.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12954420, -12954419, -12954418, -12954417?\n\"Answer: w - 12954421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -346107\/13 or -26624?\nAnswer: -346107\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11739, -23338, -34937?\n\"Answer: -11599*r - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-22)\/(4\/(-4)*2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 10*h**2 + 24*h - 2. Determine b(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -32101 bigger than -32106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 99 = 83*m - 87*m, m = 19*t - 36 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*-10*32\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/381, -2\/31, -12 in descending order.\nAnswer: 2\/381, -2\/31, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d*m**2 - 7*d*m + 28*m**2 wrt d.\nAnswer: 12*m**2 - 7*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {d: 4, q: 1, h: 2, m: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 10. Let a(k) = -3*k + 30. Let f(n) = 4*a(n) - 11*q(n). Let r be f(5). Solve 0*z - r*z = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1724 - -1722. Sort -5, 2, b, 1 in ascending order.\nAnswer: -5, b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, t: 1}. Give prob of picking 1 t and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 255, -588, 3, 2 in descending order.\nAnswer: 255, 5, 3, 2, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 6, 10.1, 2, 0.3 in descending order.\nAnswer: 10.1, 6, 2, 0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 273402.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 3*y - 7, -2*y - 3*y = -2*t - 29 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 43, 0.3, 3, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5))**27\/(((d\/d**(-2)*d)\/d)\/d)**(-12) assuming d is positive.\nAnswer: d**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 277.8009 millilitres?\nAnswer: 0.2778009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmevummmeuvuevvmmmv. What is prob of sequence mm?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6211, -16, -1, -2 in ascending order.\nAnswer: -16, -2, -1, 3, 6211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 3. Let l(i) = 2*i + 8. Suppose -5*k = 5*m + 10, 4*k + 2*m + 5 = -5. What is k*l(t) - 8*f(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 337*s + 339*s + 335*s - 1012*s. Let g(m) = 15*m - 1. Calculate -2*a(k) + 2*g(k).\nAnswer: 32*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*c - 176*c - 26 = 6*t, -2*c = -4*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194198947 a multiple of 1532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -5*z, -31 = -5*n - 11. Solve 5*d + 2*p = -20, 0 = -z*d + d - 2*p + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -3 - (-1 - 2). Let h(m) = m**2 - 3*m - 4. Let j be h(3). Let y = -5 - j. Sort y, k, 0 in descending order.\nAnswer: k, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.5 - -50. Let g = 0.1 + -0.1. Which is the nearest to g? (a) -1 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**2 + 5. Let n(r) = -2*r**2 + 3*r + 3. Let h(j) = 3*j**2 - 2*j - 4. Let v(u) = 3*h(u) + 4*n(u). Calculate v(q(b)).\nAnswer: 4*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5 + 98*v**4 - 186*v**3 - 98*v**2 + 188*v = 0.\nAnswer: -1, 0, 1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t + 17*t + 3*t**2 - 36*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4, -0.2, -3, -0.5, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7640*k + 7498*k - 11644 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3005295 * -143.\nAnswer: -429757185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1618*u**2 + 307*u**2 + 496*u**2 - 1122*u**2 to the form y*u + w + s*u**2 and give s.\nAnswer: -1937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Suppose 0 - 5 = -5*r, -j - r + g = 0. Suppose 2*d = -3*o + 1369, -j*o + 2735 = 4*d + 2*o. What is d rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 4*f**2 + 2*f. Let o(w) = -1 - 5*w - 17*w**2 + 3*w + 8*w**3 - 5*w - w. Let g(h) = 2*o(h) + 9*p(h). Factor g(t).\nAnswer: -2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 1, b: 5, l: 5, z: 2}. Give prob of sequence xmzl.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 247 - -2332?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19919889 from 0.1.\nAnswer: -19919888.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 117327.9um?\nAnswer: 117327900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let c be (q\/(-10))\/(1\/(-2)). Let b = 194.4 - 195.4. Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from drvdllsv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10178305 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14672195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from lxxxvxl.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((114\/627)\/((-4)\/(-22)))\/(-19).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6422 and 156832?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2529 or -1?\nAnswer: 2529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhughh. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4709 - 117*v**3 + 4709)*(v + 3*v - 2*v) to s*v**4 + a + d*v + g*v**2 + x*v**3 and give s.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626 - 137*t - 1202 - 424.\nAnswer: -137*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 0.1, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 14*h + 15 = -19*h, -2*h = -t + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0 (c) 2\/3 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8*c = -26*c + 272 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -6 - 1) + -3 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2990.136 - -15.\nAnswer: 3005.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q. Let d be r(0). Suppose d = 7*m + 51 - 1899. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 56. Let d = 11 + -6. Suppose -2*o + o + d = 0, -4*f - 3*o + 367 = 0. What is the highest common divisor of f and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006243 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 1 - (-13 - -17). Let m be (v - (-15)\/(-3))\/(-1). Find the third derivative of 15*u**2 + 6*u**4 + 3*u + 6*u**m - 3*u wrt u.\nAnswer: 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79921128 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 + 11 - 35).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.59 + -0.77. Let n = 0.82 - z. Put 6, 0.1, n in increasing order.\nAnswer: n, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*l - 32*l - 3 + 3*l**2.\nAnswer: 3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -75. What is the highest common factor of i and 1725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 613.8389 and 99?\nAnswer: 514.8389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/462*306\/85.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-56 + 61 + -7 + 0) + 5750 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + u + 1. Let d(w) = 4*w**2 + 6*w + 3. Give -d(t) + 3*j(t).\nAnswer: -t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3883, 8466, 14103, 21322, 30651, 42618, 57751?\nAnswer: 76578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 0, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.11 (b) -0.7 (c) -1\/4 (d) 3 (e) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755223, -1510446, -2265673, -3020904, -3776139?\nAnswer: -4531378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let r(p) = 1356*p**2 + 2132. Calculate r(a(d)).\nAnswer: 1356*d**2 + 2132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - 349252?\nAnswer: -349212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 9*y + 1. Let c(d) = 4*d. Give 7*c(f) - 3*k(f).\nAnswer: -3*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-10)\/(-5) - (3 + 4 - 15). Solve 22 = 2*q - 4*f, 3*f + 6 = -3*q - g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.014343*-2.84.\nAnswer: 0.04073412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -311545 (base 6) in base 15?\nAnswer: -764e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728751579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/5*30\/(-9). Let a be 3*(-2)\/(-18)*g\/4. Are a and -0.8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11092 - -11937. Does 65 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/70372 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 692895736 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -19*m**3 - 11*m. Let p(q) = -10*q**3 - 6*q. Determine 11*p(o) - 6*v(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91536142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 634*o = -636*o - 9, -2*s + 5*o = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/8 - 4*y**2. Let u(s) = s + 2. Let n be u(-2). Let b(h) = -h + n*h - h. Determine r(b(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s + 0*s)*(23 - 9 - 8).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43958\/3401 + 246\/19. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -562 + -198. Let u = d - -759.98315. Let p = u - -0.017. What is p rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-3 + (-12 - -8 - 11) + 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/99)\/((-2058)\/(-67914)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -22?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0.9032028843\nAnswer: -4.9032028843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + (-87)\/(-12). Let r(t) = 5*t - 2*t**2 - 3 - y*t**3 + 6*t**3 + 0*t. List the prime factors of r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/3 - (-3)\/9. Let d = b - 4. Suppose 3*s = d*j - 1 - 5, 0 = -4*j + s + 14. Calculate the greatest common factor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/12)\/((-2)\/1797). Let u = -206 - l. Let h = u + -244. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4510 - -a?\nAnswer: 451a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5345.\nAnswer: 5345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 9:35 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/4, -4, 3.3 in ascending order.\nAnswer: -4, -1\/4, 0.5, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*11\/(-22)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206119235501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1819, 4, 3, -18, 0 in decreasing order.\nAnswer: 4, 3, 0, -18, -1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3045529, -4 in decreasing order.\nAnswer: -1\/4, -4, -3045529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970 is divided by (2 - 1518\/161)*-7.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 912\/3437 + 10\/491. Which is the nearest to 47\/4? (a) 3 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-160) - 14\/120?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1688, -5, -2, 9 in ascending order.\nAnswer: -1688, -5, -2, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/988)\/(27\/108)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 1855*q**4\/12 - 449*q**2\/2 - 1544*q. Differentiate t(p) with respect to p.\nAnswer: 3710*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 153 - (-1747 + 1504)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*n + 0*n = -4280000, 5*x - 5*n - 5350000 = 0. What is x rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945065 divided by 85915.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33719)\/(-7)*(1 - -1). Suppose -14978 = -2*v - 4*a, 0 = -3*v + a - z + 32080. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 0.4, 1.9, 5, -23685 in increasing order.\nAnswer: -23685, -9, -4, 0.4, 1.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 4, 494658 in decreasing order.\nAnswer: 494658, 10, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p - 4. Let k be o(1). Suppose i + 0 = 3*f - 1, 11 = 5*f + 3*i. What is the lowest common multiple of 24\/20*20\/k and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 4*n + 34. Let m(i) = -2*i - 16. Calculate 2*k(b) + 5*m(b).\nAnswer: -2*b**2 - 2*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 11:06 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*m - 2*m. Suppose -12 = l + 5*p, 3*l - 2*p - m = -l. Let t(q) = 0*q + q - q**2 - 4 + 0*q**2 + 2*q. Give t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7 plus -0.06?\nAnswer: 6.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -4, -1 in decreasing order.\nAnswer: 5, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -698?\nAnswer: 6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 378 - 264. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -404690.801 rounded to the nearest one hundred?\nAnswer: -404700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 + 232. Let y(x) be the second derivative of 0*x**2 + 1\/70*x**w + 5*x + 0 + 1\/21*x**3 - 1\/21*x**4. Suppose y(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/(l**9\/l*l))\/(l**(-19)*l\/l**29) assuming l is positive.\nAnswer: l**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 0.5, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*z**2 - 118*z**2 + 58*z**2.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxbbxqxxbb. What is prob of picking 3 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 79460729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:51 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 22*l**2 - 2*l + 44. Let u be w(22). Solve 0 = 2*z + 3*f + 2 - 9, 4*z + 2*f - 10 = u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -4*l**3\/3 - 5*l**2\/2 + 2*l + 1. Let v(h) = 2*h**2 + 2*h - 1. Let u be (-9)\/(-6) + 52\/(-8). Give u*v(w) - 2*s(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5294768 or 5294783?\nAnswer: 5294768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {d: 1, l: 1, x: 1, y: 2, o: 2, q: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2358302*t**3 + 1751749*t**2 wrt t?\nAnswer: 14149812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -325445?\nAnswer: -325445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 l when four letters picked without replacement from tllllttlllllllll.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let m(v) = -4 + 0 + c + 3*v. Let x(t) = -2*t**2. Calculate x(m(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 10*z - 2. Determine q(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 140\/49)\/(152\/(-228))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.516 rounded to two decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3897596 is divided by 3961.\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*v + 63 = 0, 0 = -2*d - 20*v + 15*v + 39. What is the remainder when 2 - (-2)\/(-1) - -33 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 7*c + 5755520000 = -15*c. Round c to the nearest 1000000.\nAnswer: -360000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6987 = -y + 504, -9998 = -4*u + 2*y. Let k = u + -1152. What are the prime factors of k?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1316 and 517?\nAnswer: 14476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -0.081\nAnswer: 2.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/22028190 and -75\/1468546.\nAnswer: 22028190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d + d - 3*d)*(-8*d**4 - 4*d - 19*d + 9*d**4).\nAnswer: 9*d**5 - 207*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 4. Let k be v(-2). Which is the smallest value? (a) 4 (b) 2\/15 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -3, -9, -27, -63, -123, -213, -339?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(-1)\/(2 + 0). Suppose 36*q - 35*q + 20 = 0. Let j be (-12)\/q - (9\/5)\/3. Solve -4 = a*i - j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 46*g**2 - 48*g + 3. Let t be z(24). Suppose 2*i - 10319992 = 5*c, t*i = 3 - 15. What is c rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30926219 - 2\nAnswer: -30926221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4487 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 + -114. Are d and -11.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 + -53 - (-7 + -4)) + (1 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925981\/76 - 25\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16864 = -19*i + 3*i. List the prime factors of i.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26523\/14)\/3*(-7)\/9. Let k = -422 + -68. Let s = k - r. Is s less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92389.1191 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 10 = 3*d. Let m be 2\/d + (-68)\/(-8)*2. Suppose 0 = -2*o - 0 + m. Solve q = -2*c + o, 2*q - 3*c = -q + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.483 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 60.92 (b) -5 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-741)\/(51 - 12) + 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j + 5*f + 35, -4 = 4*j + 4*f. Calculate the highest common factor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.14?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*o + 2*o. Let y(r) = -3*r**2 + 10*r - 7. Let n be y(6). Let z = n + 61. Solve 4*k + 16 = 0, -m - 11 = z*k - o*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7.2. Let c = 98.34 - 97. Let f = c - -1.66. What is the nearest to -0.1 in t, f, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372 + 3605. List the prime factors of b.\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -26. Let p be 2\/x + (-3543)\/(-15). Suppose 5*j - p = -51. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 8. Suppose -5*a = l - 588, 2*a - 2*l = 106 + 134. Suppose -a = k*n - 28*n. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1)*a*(a\/(a**(-2\/9)*a)*a)\/a assuming a is positive.\nAnswer: a**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 18 = 2*v + 3*b, -18 = -v - 5*b. Let y(j) = j**2 + 9*j - 78. Let k be y(v). Which is greater: 407 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12251263 (base 7) to base 5.\nAnswer: 240324241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 13096.\nAnswer: 39288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1095*m + 1139. Let k be n(-1). Solve 14*z = 25*z + k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398.09*2.\nAnswer: -796.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j = 30*j - 240 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6570\nAnswer: -2\/3285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 1, d: 1, t: 3, x: 7}. Give prob of sequence td.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-380)\/114)\/(50\/(-660)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 + 357\/2. Let z(w) = w**3 + 4*w**2 + 2*w + 4. Let r be z(-4). What is the common denominator of f and r\/(-8) - (-166)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 5*o - 2. What is w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a8e7 (base 15) to base 13\nAnswer: -13384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13112 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*f - 2004, 11*f = 10*f + 1. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c**3 - 5*c**2 + 5*c. Suppose 2*s + 2*i = 10, -4*i - 85 = -4*s - 73. Let l(j) = -7*j**3 - 2*j**2 + 2*j. Calculate s*q(d) - 10*l(d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 + 14*x - 8. Let k(q) = 12*q**2 + 11*q - 6. Let n(m) = -4*d(m) + 5*k(m). Determine n(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + (5 - -4) - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 182.\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, -61, -619, -1557, -2965, -4933, -7551?\nAnswer: -10909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53\/6 - -26\/3. Find the common denominator of -41\/17 and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1 + sqrt(171))*3 + 2*sqrt(171)*-1 + ((2 + sqrt(171)*-1 - sqrt(171)) + sqrt(171))*-1))**2*-5.\nAnswer: -13700 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -429 + 433. Suppose -k + 0*k = 0, 11400000 = s*m + 2*k. What is m rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -5 (b) 8804 (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, l: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-19 + -18 + 43) - 30?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/2445 (b) 21 (c) 23 (d) -0.5 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16469633*k*w**2 + 24*k*w - 4*k - 459*w + 9 wrt w?\nAnswer: -32939266*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83885.922 milliseconds in days?\nAnswer: 0.000970901875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -953 and -57.\nAnswer: 54321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-36)*(-234)\/52.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2655730 and 158654?\nAnswer: 61081790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -396 (b) 0 (c) -4 (d) 14\/15 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9570 - 114977\/12. Find the common denominator of p and -4\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 41398.\nAnswer: 5\/41398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-52)\/(-2))*(-12)\/36. Factor -70*g + 6*g**2 - 17*g + 21 + b*g**2 - 3*g**2.\nAnswer: 3*(g - 7)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.3 - 102.3. Let y = r - -82.9941. Round y to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*v + m - 5*m, 19 = 3*v + 4*m. Suppose 3*f + v = 2*f. Let j = 8.3 + -8. Which is the closest to -1? (a) -0.1 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/10)*t**(1\/5))\/(t**3*(t**(1\/4)\/t)\/t)*(t**(1\/3))**(-15\/2)*(t*(t**0\/t*t*t)\/t)**15 assuming t is positive.\nAnswer: t**(243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30758, -2\/3, -3, 0.26, -1\/3?\nAnswer: -30758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + -2*sqrt(832))**2 - sqrt(637)*1*-5) + -1)*-4.\nAnswer: -13408 - 780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32826006 is divided by 2604?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 2. Determine o(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8749 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2*j - 69*g**2 - 2*g*j + 646*j wrt g.\nAnswer: -8*g*j - 138*g - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = -35*g + 2435. Find the second derivative of -27*q - 81319 - 13*q**2 + g*q**2 + 81319 wrt q.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 + 8*t**4 + 24*t**3 - 80*t**2 + 76*t - 24.\nAnswer: -4*(t - 2)*(t - 1)**3*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or -20.06?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - -165?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*a = -1404, 537 = 3*y + 10*a - 533. What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.699 + -0.201. Let l = u - -12.9. Let i = -1\/168 - -13\/168. What is the closest to -1 in i, l, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -363*n**2 + 8*n - 8. Let q(l) = -242*l**2 + 5*l - 5. Give -5*k(a) + 8*q(a).\nAnswer: -121*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03403*13495.\nAnswer: 459.23485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 21 + 1 + 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 2*l**5 - 6*l**5 + 2*l**5 + 3*l**4 - 3*l**4 + (-l**2 + l**2 - l**4)*(-l + l - l) + l**5 - 2*l**3 + 2*l**3 + (2*l**5 + 4 - 4)*(-799 + 806 + 360).\nAnswer: 736*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 75*r**2 + 2520*r + 2021. Calculate g(-100).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013789 is divided by 719?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -33*a**3 - 2*a**2 - 54. Let h(s) = -1022*s**3 - 63*s**2 - 1673. Let z(k) = 2*h(k) - 63*q(k). Differentiate z(j) wrt j.\nAnswer: 105*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 61 - 40 = -o, -3*c = -o + 59. Let v be (-48)\/c - 2 - 187\/(-7). Calculate the greatest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*a - 63*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -64 - (125 - 67)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242692 and 17552342?\nAnswer: 7138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + b = -3*b + 1077, -3*t - 5*b = -3266. Let v = 3388 - t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -63*u**2. Let h(z) = 5*z - 290158. Calculate h(t(a)).\nAnswer: -315*a**2 - 290158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -23624800 to the nearest one hundred thousand.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4908700087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 7*p**2 - 2*p - 9. Suppose -w + 3*m = -2*m - 22, 4*w = 4*m + 40. Calculate the smallest common multiple of x(-7) and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13586380 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 789, 2 in decreasing order.\nAnswer: 789, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -136344048 divided by 23172\nAnswer: -5884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -13 in ascending order.\nAnswer: -13, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/6720 + l**7\/420 - l**6\/60 + l**5\/15 + 2*l**2. Let j(f) be the third derivative of b(f). Factor j(s).\nAnswer: -3*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u*y - 88*u - 111*y - 2 wrt y?\nAnswer: 2*u - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.877353ml in litres?\nAnswer: 0.004877353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56006?\nAnswer: 2, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -50 - 583. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1708334, 1708285, 1708236, 1708187, 1708138, 1708089?\nAnswer: 1708040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 8 = 2*h. Let t be (2*3\/(-12))\/(-1). Find s, given that s**h + 0 - t*s**5 + 0*s**4 + 0*s + 3\/2*s**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 729 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 7. Let k = -15.8 + x. Let m = k - -0.3. What is the third smallest value in m, -7\/3, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 2885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2024*a = 95914 - 19002 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26651\/100 - -1065\/4. What is the common denominator of 39\/2 and v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-15)\/(-3))*2\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -195, 576, 1347?\n\"Answer: 771*p - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/56677?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(891))**2 + (sqrt(11) - (4 + 0 + sqrt(11) + sqrt(11))) + -2 + (5 + sqrt(396) + -3)**2 + 1 + sqrt(396) + -3.\nAnswer: -25*sqrt(11) + 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221119649 to the nearest integer?\nAnswer: 14870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1.5 (b) 2\/3 (c) -4\/7 (d) 7 (e) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g - 9*g = -16*g - 5445677. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/56)\/((-174495)\/40). Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1975149270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2784 and 9744?\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*l + 3. Let v(d) = -d**3 + 5*d**2 + d - 2. Is v(l) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1245 + -1320. Are m and -76 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.9 + -26. Let d = 5.1 - 1.1. Let q = 0.4 - 0. Sort d, q, t in decreasing order.\nAnswer: d, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = -4*g + 16, 0 = -5*d + g - 4. Suppose d = -8*n + 3*n + 10. Let m be (0 + n)\/((-10)\/(-65)). What is the greatest common divisor of m and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 30 = -3*w, 0 = 2*d - 2*w + w + 22. Let z be (9\/42)\/((-9)\/d). Find k such that 8\/7*k**3 - 6\/7*k**2 - z*k**4 - 8\/7*k + 8\/7 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-27)*(-270)\/510. Which is the biggest value? (a) -1.5 (b) -1 (c) -0.1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3 + 621*g**2 + 95714*g - 193920 = 0?\nAnswer: -320, -303, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269567, -539176, -808827, -1078520, -1348255?\nAnswer: -1618032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.45 - -0.05. Let i = k + 0. Let s be 15\/12 + (-49)\/84. Which is the nearest to 0.2? (a) -2\/5 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -1\/24*f**6 + 0*f - 1\/20*f**5 + 0 + 0*f**3 + 0*f**4 + 2*f**2. What is the third derivative of k(z) wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.141282 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5440, 11067, 16692, 22315?\nAnswer: 27936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35094 is divided by 110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(891) - (0 + sqrt(891))))*-2*6 + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 392932 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28962?\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cowsyhw. What is prob of picking 1 s and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 6 - (5 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s - 3. Let t be r(3). Suppose -4*k = -3*a - 8, t = -k - 5*a - 1 + 3. Let c = -182 - -188. What is the remainder when c is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -2517985?\nAnswer: -2517987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -38, -97, -208, -389, -658, -1033, -1532?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211056 is divided by 124.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - o)*(-10 + 11*o + 10) + 13*o - 13*o - 3*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/(-6))\/((28\/(-21))\/4). Is -16 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396) + -2 + 5 + sqrt(396) + sqrt(396))*-4 + 1*sqrt(396)*2 + (sqrt(396) - (1 + sqrt(396))) + 4)**2.\nAnswer: 1680*sqrt(11) + 39796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 13*t + 270. What is the remainder when p(-11) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/2677637 and -50\/517.\nAnswer: 29454007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60778272 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150*f*k*m*q + f*k*m - 3*f - 2*k*m*q - k*m + 5*m wrt q.\nAnswer: 150*f*k*m - 2*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 2*a**2 - 3*a - 6. Let o be i(-1). What is the biggest value in o, -3, 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1689 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 60113.49 weeks?\nAnswer: 36356638752000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 10*r**2 + 7*r - 16. Let s be d(-9). Suppose -3*k + 2*h = -s*h - 11, 2*k + h = 22. Solve -5*n + k = 29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 100\/80 - -5. Solve 3*m - 2*a + y = 0, -3*m - 25 + 4 = 3*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -91. Let z(j) = -j**3 + 7*j**2 + j - 9. Let n be z(7). Calculate the common denominator of 159\/q + n - 2 and -7\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3340 - z - 3340 + 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -687, 10, -4, 5, 0 in increasing order.\nAnswer: -687, -4, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 20. Let h be -5 - (c - 3 - 8). Which is greater: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*l = 8*y + 30218002, 2*y = -3*l - 15108997. What is y rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9027397 to the nearest integer?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798714 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.69105 + -0.29395. Let r = -63 - h. Let t = r - 4.985. Which is the third biggest value? (a) 0.2 (b) t (c) -17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*m = -v + 7, 12 = 5*v + 2*m. Suppose -5*c - o = -0*o - 6, -v = -5*c - 2*o. Suppose 1 = c*t - 3. Solve t = -3*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 6*f + 4. Let b be k(-6). Suppose 2*l + 0*z - z = 14, 0 = l + b*z - 16. Suppose l*y - 4 = 2*v + 3*y, 5*v + 2*y = 19. Solve -7 = 5*o + v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10385478 and -7?\nAnswer: 72698346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22239*b**2 + 22254*b**2 - 44469*b**2 - 13*b.\nAnswer: 24*b**2 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/6 - 2*s**3 - 49*s**2\/2 - 127*s\/3 - 20.\nAnswer: (s - 20)*(s + 1)**2*(s + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.268406 litres in millilitres?\nAnswer: 3268.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*s - 3*l, 0 = -4*s - 0*l - l + 34. Let n = 0 + 4. Suppose -n*v + s = -3*v. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 10, -10 in descending order.\nAnswer: 10, -0.2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3705 (b) -3\/8 (c) 3\/5 (d) -3 (e) -3\/4 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73578.41ms to seconds.\nAnswer: 73.57841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - 2.93. Let f = -12 - -11. Put o, 2, f in descending order.\nAnswer: 2, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 32715*i**3 - 7*i - 12661*i**3 - 44*i**2.\nAnswer: 20054*i**3 - 42*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20 + 5\/((-25)\/53). Sort -5, q, 0 in descending order.\nAnswer: 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(5 + sqrt(176) + 1 + -2 + sqrt(176) + (sqrt(176) - (sqrt(176) - (sqrt(176) + 3 + sqrt(176) + -1) - sqrt(176))) + 5).\nAnswer: 110 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247.863 + -248. Let g = v + 0.137. Which is the second smallest value? (a) 4 (b) -2\/5 (c) g (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17557, -34915, -52273, -69631, -86989, -104347?\n\"Answer: -17358*k - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 574*b**2 - 2*b. Let h be a(1). Suppose -14*f = -h + 54. What is the remainder when 42 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*l + 10175, 3*l - 4*l - 10183 = -3*x. List the prime factors of 1\/(6\/x) - 120\/144.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 657 - 629. 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 g = 2437 + -456. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 - -6 - -6 - (40\/4)\/5. Solve -o - 5*w + 15 = t, 0*o - w = 4*o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.407, -0.7, -11.\nAnswer: -11, -0.7, 18.407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10129720427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -5*b**3\/6 + b**2\/2 - b. Let n(g) = 2*g - 6. Let i be n(4). What is f(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s**(-7)\/s))*s**(-1\/16) assuming s is positive.\nAnswer: s**(-129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29697\/4 at most as big as -1227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*f**5 - 105380*f**4 - 1534365*f**3 - 2867860*f**2 + 2229780*f - 366480 = 0. Calculate f.\nAnswer: -12, -3, 2\/7, 1\/3, 1018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-4)*15\/25?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3795 and 167325.\nAnswer: 1840575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 - 16)*(-3*l**2 + 3*l**2 - 3*l**4) + l**4 + l**3 - l**3.\nAnswer: 55*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 1)*2\/42*7. Let q(x) be the first derivative of 0*x + 2 - 3\/2*x**2 + l*x**3. Give q(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 45474942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*z + 169 = -67, 0 = 2*o - 3*z - 237. Let l = o + -38. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3 + 3 - 5)*(-2 + 0 + 0*q**2 + q**2) + (-5 + q + 5)*(3 - q - 3) + 245 - 245 - 90*q**2.\nAnswer: -93*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -212, -459, -704, -947?\n\"Answer: d**2 - 250*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 340659.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20182 + 38365. What are the prime factors of x?\nAnswer: 3, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 5, -12 in decreasing order.\nAnswer: 6, 5, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -365507, -365506, -365505, -365504, -365503, -365502?\n\"Answer: y - 365508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 22*y - 1. Let m be n(5). Let v = m - 56. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-14))\/((-4)\/(-14)). Suppose -5*p - 5*a + 102 = -p, a = l. Suppose -4*t = 5*s - p, -5*s = 4*t - 3*s - 26. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.366 + -0.096. Let c = r + -0.270205. Round c to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*c + 8*n - 7, -5*c + 1 = -3*n. Let j(b) = 6*b - 17. Let i be j(4). Solve -r - 3*y = -2, -c*y = 5*r - i - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -64686.587 to the nearest one thousand.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 557*f**4 + 512?\nAnswer: 2228*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 67, 0, -0.21, 125\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000030478 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/40 - 23\/40. Which is the closest to 2? (a) x (b) 20.8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-81)*(1 - -1). Let w = -30 - -27. Let m = w - 2. Which is the closest to 0.1? (a) m (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 + 107*p + 2710. Determine x(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-154)\/(-231) + ((14\/3)\/2 - -1). Solve -4 = 2*x, -h*b - 3*x = x + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -6, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 225*p**2 + 4900*p - 34. Determine z(245).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030213721 to 4 dps.\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35528 - 2?\nAnswer: -35530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - -26. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 5, u: 2, b: 8, v: 1, r: 3}. What is prob of picking 1 r and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (7 + 3 + -1 - (2 - -4))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(1\/15). Suppose -h*j + 50 = -3*m - 2*m, 23 = 5*j + 4*m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3573.6 - 3572.98532. Round g to two dps.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261350 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436100985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 697 = -4*g + 9004, -4*g + 13861 = 5*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 8, z: 6}. Give prob of sequence dz.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*-1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43488.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 (base 9) in base 2?\nAnswer: -101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 22 + 11 - (-112 + 13).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1\/6*a**4 + 0 - 1\/3*a**3 + 0*a**2 - a. Let v(z) = z**2 + z. Let r(d) = -n(d) - 4*v(d). Let r(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -881467904688.\nAnswer: -881467904687.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13421 + -10?\nAnswer: 13411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 - -2.4. Which is the smallest value? (a) -0.3 (b) -0.2 (c) -4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 j when three letters picked without replacement from ggggbkgjqbjggb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089078 rounded to 3 decimal places?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/(1\/10). Let h = x + -1. Let m(i) = i**3 + 4*i**2 - 6*i + 5. What is m(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(1125) - sqrt(45))*-1)\/(sqrt(225) + 1*sqrt(225) + sqrt(225)) - ((-3*sqrt(135))\/sqrt(9))\/(-1*sqrt(147) - sqrt(147)).\nAnswer: -29*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 729 by -3.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0607989534 and -0.02.\nAnswer: 0.0407989534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**3 + 0*n**2 + 5*n**2 - 5*n**2.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + b + 17, 0 + 5 = z - b. What is the least common multiple of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -38*l + 781. Calculate x(23).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2795\/390)\/43)\/(3*4\/(-168)*3).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -48, -97, -186, -327?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**5))\/v)\/(v*v**(-15))*v**(-2\/17)\/v*v**15 assuming v is positive.\nAnswer: v**(389\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1\/8, 17, -24?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*5\/30*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75361490*f**4*n + 80380944*n wrt f?\nAnswer: -301445960*f**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724 (base 9) to base 3.\nAnswer: 210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -g + 22, -5*g + 10 = q - 5. Let s be 3 - 1 - -2 - g. What are the prime factors of (3 + -6 - -21) + s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:39 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 82*n. Let z(h) = 7323*h**2 - 7. Calculate z(i(q)).\nAnswer: 49239852*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 5*b + 10, k - 7 = -3*b - 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 7 + 2)*(-36 - 3*i + 36)*(0 - 2 + 3) as c*i + x and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1218415101 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241329 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 - 4706\/(-65). Suppose -m*t + 92*t = 1957. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3465)\/36)\/(-55))\/(14\/(-7)*1)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 198247 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171)*-1 + sqrt(171) + sqrt(171)))\/(sqrt(36)\/sqrt(64)) + -3.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45042508 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - 15*y**3)*(138*y + 1119 - 1119) as s + n*y**4 + l*y**3 + g*y**2 + q*y and give n.\nAnswer: -2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -6. Let s(h) = -1. Let l(a) = a**3 - 20*a**2 - 17*a - 64. Let v be l(21). Let u(c) = -c - 5. Give o*u(b) + v*s(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9 (b) -1 (c) -3\/44 (d) 0 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 4:29 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288382700?\nAnswer: 2, 5, 2883827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6204*q + 7227*q + 37851 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/420 and 65\/13866972?\nAnswer: 69334860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d**5 + 253166*d**4\/3 - 78673042*d**3\/3 + 79188880*d**2\/3 - 768800*d\/3 = 0.\nAnswer: 0, 1\/102, 1, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/4 - 942*j**2 + 889245*j - 3541924 = 0.\nAnswer: 4, 1882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304310113 (base 5) to base 4.\nAnswer: -10233303320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i*k*m**2 + 13916*i*k - 5954*i*m - 2*i - 2*k*m**2 wrt m?\nAnswer: 6*i*k*m - 5954*i - 4*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.012 or -2283847?\nAnswer: -2283847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.76 and 155.9.\nAnswer: -274.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b = 34*b + 5755. Suppose -4*m = -2*w + 768, m = -3*w + 6*m + b. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.37 + 13. Let a = 0.4 - o. Let w = -0.43 - a. What is the nearest to w in 0.5, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4500372?\nAnswer: 2, 3, 127, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aawaaawaaaw?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 11*o**7\/840 + o**6\/30 - 5*o**3\/6 + 7*o. Let x(f) be the second derivative of b(f). Find the third derivative of x(i) wrt i.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 + 50 = 17*o. Let g = o - 29. Put 10, g, -2 in descending order.\nAnswer: 10, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 3756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 + 32*y = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o - 15 = -34*o. Find the second derivative of -2*v**o - 5*v**5 - 6*v**5 - 4*v - 2*v wrt v.\nAnswer: -260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-26 - -34) + (-3 - 0) + -5 + -86.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 2 = -b. What is the lowest common multiple of (-4 + b)\/(-15) - (-51)\/5 and (1 - -1)*(-5)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 630651 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1041 divided by -2488\nAnswer: 1041\/2488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/6*(-8)\/(-10)*414\/69\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.029248109 less than -17.5?\nAnswer: -18.529248109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 8640*p**2 - 1113*p + 17 = 0?\nAnswer: 17\/960, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*q**4 + 3*q**3 - 27*q**2 + 1017 wrt q.\nAnswer: 436*q**3 + 9*q**2 - 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 77?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -984257*a**3*b**3*y**2 + 7*a**3*b**3*y + 4*a**3*b - 14*a**3*y**2 - a**2*b**2*y**2 - a*y**2 - 7578*b**2*y**2 wrt b.\nAnswer: -5905542*a**3*y**2 + 42*a**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1332 + -5483.\nAnswer: -4151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3 + 5*j**3 + 10 + 13 - 4 wrt j?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z = 3850915 + 2755422. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 11*h**2 - 17*h + 15. Suppose 5*x - 87 = 2*x. Calculate the remainder when x is divided by s(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 4*h + 3. Let p be i(2). Let r be (-3)\/(p\/(-6) - 2). Is r*((-154)\/4 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.156+221905497\nAnswer: 221905497.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159444269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2871 = -5*i + 4*g - 2*g, -i - 2*g = -579. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/30 - 2*l**2. Let a(h) = -32*h. Determine q(a(t)).\nAnswer: -2048*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/13)*s\/s**(-7))\/(s*s**(2\/7)*s\/s**5) assuming s is positive.\nAnswer: s**(989\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -305, 3, 0.4, 5.\nAnswer: -305, 1\/3, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8459 (base 12) to base 15\nAnswer: -4449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(-27)\/(r**(-8\/7)*r\/(r*r**4)*r))\/((r*r*r**(2\/5))**(-8\/9)\/(r**(1\/3)\/(r\/(r*(r\/r**(1\/7))\/r)))) assuming r is positive.\nAnswer: r**(-713\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4459\/147)\/(338\/(-156))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-9))\/(-5 - 7774\/(-1560)). Solve 14 = 33*m + s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 3) to base 13\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*h + 944, 0 = 3*a + 3*h - h - 728. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -54*v - 1. Let n(a) = -6*a. Let c(y) = -5*n(y) + r(y). Calculate c(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5319 = -13*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 7*v + 6. Let t be h(4). Suppose 0 = 2*y - t. Solve -y*k = -0*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7195369*v**3 + 4670*v + 218?\nAnswer: -43172214*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*l + 6 = -l, 0 = 3*w + 4*l - 18. Is w\/(-4)*13882\/(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 30*u + 1058. Give a(-51).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43, -206, -659, -1546, -3011, -5198?\n\"Answer: -24*s**3 - s**2 + 8*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*1*sqrt(65))\/(5*sqrt(5)*2) + ((sqrt(624)\/(sqrt(12)*-2))\/sqrt(4))**2*1.\nAnswer: -3*sqrt(13)\/5 - 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-119)\/10)\/(3384\/(-45) - -71).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -2 - 2 - (2 + -4 + -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 5:04 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 - 1325051?\nAnswer: -1324844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1567*m**3 + 128*m**2 - 4*m wrt m.\nAnswer: -9402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 + 30*v**2\/11 + 4*v\/11 - 336\/11.\nAnswer: 2*(v - 3)*(v + 4)*(v + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 8) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 721.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*g + 52929 = 0, 4*g = 5*c - 14718 - 249807. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c + 14. Let q(a) = 7*a - 5. What is 6*d(y) + 17*q(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 0.3, -3, 2\/13, 5, 74, 2764?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378579677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 332325 = 98559. Let p = m + -8569. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -133318 - 1?\nAnswer: -133319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) - (-56)\/(-40). Let z(l) = -4*l**3 - 3. Let t(x) = 2*x**3 + 1. Let c(v) = -5*t(v) - 2*z(v). Calculate c(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 8*y**2\/5 + 38*y\/5 - 28\/5.\nAnswer: -2*(y - 2)*(y - 1)*(y + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 5. Let n be g(-4). Let t = 37 + n. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/90 + (-6)\/18. Let p = 4\/45 + g. What is the third biggest value in p, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/432*2358\/(-9) - (2 - 1) and (9\/28)\/((-4)\/70)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2160 - 956. What are the prime factors of t?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3077*c - 2564*c**2 + 658*c**2 + 1540*c + 1537*c.\nAnswer: -1906*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6256 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 137, 238, 343, 452?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/24*6*-4*2408\/148092.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*z - 73*z + 47*z - 1189739 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45144294\/17*l + 2\/17*l**3 + 16458\/17*l**2 + 41276932814\/17.\nAnswer: 2*(l + 2743)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30310675?\nAnswer: 5, 1212427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 11 = -2*f + 11, -o + 3*f + 31 = 0. Solve 5*k = k - 5*m - o, 3*k = -5*m - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 u, and 1 m when four letters picked without replacement from {r: 5, m: 1, u: 6, d: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54710 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: Let g be 1*-6*(-3)\/6. Suppose -3*d + 9 - g = 0. Suppose 5*w - d*z + 1 = 0, 3*z - z = -5*w + 11. Which is greater: 1\/106 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n + 11. Let p(v) = -2*v**3 - v**2 - 15*v - 5. Let x(y) = y**3. Let g(c) = -p(c) - 3*x(c). Let i be g(-3). Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -i - 5*w + 84, 4*i - 2*w = 354. Suppose 8*n + 88 = i. What is a in 0*a + 2\/11*a**4 + n - 4\/11*a**3 + 2\/11*a**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12040836 divided by -6?\nAnswer: -2006806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 12*b + 7. Let o be c(9). Let y(i) = 2*i + 1. Let u be y(-5). Let v = u - o. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvv when three letters picked without replacement from jvvvvjvvvjjjvvvv.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2827, 5692, 8557, 11422, 14287, 17152?\nAnswer: 20017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7536, 7541, 7546, 7551, 7556, 7561?\n\"Answer: 5*i + 7531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 708.3 to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 8, x: 7, f: 3}. What is prob of sequence pxp?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014033206.\nAnswer: 2, 53, 9566351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/5)*v**8 assuming v is positive.\nAnswer: v**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 5 (c) 4 (d) 2.1 (e) 3 (f) 3\/4 (g) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + n - 15. Let d be k(0). Let h = 14 + d. What is the least common multiple of 2 and ((-110)\/(-15))\/(h\/(-3))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/216765 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.5737088 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 81422*w\/3 + 407060\/3.\nAnswer: 2*(w - 40706)*(w - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtqv. Give prob of sequence qq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 260 (b) 4 (c) 1683 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 94 + j + 91.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*u + 408*u - 335*u + 1054*u.\nAnswer: 1556*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 21. Let m be f(9). Suppose -6*r + m = -r. Solve 0 = -2*c + r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 15*r**3 - 5*r**2 - 9*r + 6. Let y(j) = 14*j**3 - 4*j**2 - 8*j + 5. What is 6*v(p) - 7*y(p)?\nAnswer: -8*p**3 - 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02075 in 4, -0.1, -2\/11, 2, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7417770231.\nAnswer: 3, 2472590077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/(i*(i\/(i**(-12)*i))\/i))*i)\/i))\/i*i)\/i*(i\/(i\/(i*i*i*(i*i**(1\/4)\/i)\/i)))\/i*i**(-16\/3)\/(i\/(i*i**(-25))) assuming i is positive.\nAnswer: i**(-493\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111442*11\nAnswer: -1225862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 4}. Give prob of sequence ee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-57)\/(-190))\/(2\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 l when three letters picked without replacement from {v: 1, y: 2, l: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vud when three letters picked without replacement from uuvdddvdd?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1*1)\/(2\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0, 154785, 1.\nAnswer: -31, 0, 1, 154785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9744 divided by -1392\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 1\/3*h**3 + 0*h - 2 - 2*h**2. Let x be p(4). Solve -3*l - c - 4 = -x*l, 4*c = 2*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 14. Let y = -12047 - -12050. What is b(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 6. Let l be t(0). Let p = 8 - l. Find the third derivative of 2*w**5 + 5*w**5 + 4*w**p - w**2 wrt w.\nAnswer: 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 36, 1\/4, -802 in descending order.\nAnswer: 36, 1\/4, -1\/5, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 20*j + 13. Let p be m(16). Let y = 52 + p. What is the units digit of 29 - 1 - (-2 + y)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -19*x + 116. Let k(z) = 4*z - z - 32022 + 32023. Let u(q) = -b(q) - 3*k(q). Differentiate u(o) wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x + 2. Let v be c(-3). Let h be (v\/(-18))\/(2\/8). Determine d, given that -4\/9*d**2 + 2\/9*d + h*d**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + a7?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -33538 - 21497. Suppose 8*h - w = -1467. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -93 + 71 - 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00161218411 rounded to seven dps?\nAnswer: 0.0016122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 4*g + 3*o, -3*g = -3*o + 3. Let q = -230\/33 + -1097\/264. Calculate the common denominator of (-246)\/(-40) + g + -1 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 4\/(-22) - 6\/33. Suppose -12 = -v*n - 0*n. Solve n*o - 2*r + 16 = 0, 0*r - 3*r = -15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/(-8) - 1)\/(3\/(-8)). Suppose -t - 37 = -0*z - 2*z, 5*z - 5*t - 85 = 0. Calculate the highest common divisor of z and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 1, f: 1, o: 2, k: 2, q: 1}. What is prob of sequence iek?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69067434, 69067432, 69067430, 69067428, 69067426?\nAnswer: 69067424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkmjmmmmmjkmjjmmmmj. What is prob of picking 1 j and 2 k?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2 + 5*h + 25. Let j = -2 + 1. Let y(l) = -1. Let d(t) = 1. Let f(g) = -2*d(g) - y(g). Give j*x(v) - 3*f(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0. Let d = -107 + 106.8. Which is the closest to d? (a) 5 (b) n (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1303711166*c**2 + 774986477*c?\nAnswer: 2607422332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*n*r - 6*n + r + 83 wrt n?\nAnswer: 8*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9562 + 13139 = 237*p + 439*p - 13999 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 0*q**2 + 5*q**3 + (2 - 2 + 2)*(-2*q + 2*q + q**3) + (2*q - q - 2*q)*(9*q**2 - 24*q + 24*q) + (-q + 1 - 1)*(-2*q + 6*q + q)*(3*q + 0*q - q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*o**4 - o**2 - 22*o + 156537 wrt o.\nAnswer: -288*o**3 - 2*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 199 + 195 - j - 394. Let d(t) = t - 6. Suppose 14 = f - 3*f. Let z(i) = i - 7. Let x(c) = f*d(c) + 6*z(c). Calculate x(r(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - 2*h)*(-h + 2*h**2 + h) + (-82 + 82 + 15*h**2)*(-1 - h + 1).\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 72*h**2 + 32*h + 1536.\nAnswer: 4*(h - 16)*(h - 6)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4110.1 to the nearest ten.\nAnswer: -4110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q + 58*q + 190*q + 15*q - 20*q.\nAnswer: 281*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 4504 (base 6) to base 15\nAnswer: 49d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-2)*(-35)\/(-140). Which is the closest to y? (a) -4 (b) -0.5 (c) 11 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87.31 - 90. Let i = -3.2 - j. Let f = -0.50856 - i. Round f to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13933351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/3 + 10*p**4\/3 - 10*p**3 + 40*p**2\/3 - 25*p\/3 + 2 = 0. What is p?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 23\/270*v**5 + 1\/540*v**6 - 2*v**2 - 4\/27*v**3 + 1\/216*v**8 - 4 - 19\/945*v**7 - 2\/27*v**4 + 0*v. Suppose d(z) = 0. What is z?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.4 minus 0.4?\nAnswer: -123.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r**3\/45 + 17*r**2\/3 + 172*r\/15 + 327. Let g(o) = 0. What is o?\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 268 = 1420. Factor x*a + 2688 - 13*a**2 + 4*a**3 - 27*a**2 - 2816.\nAnswer: 4*(a - 4)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88236\/3870*((-7)\/(-4) + -2) and 34\/4735.\nAnswer: 9470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmn when four letters picked without replacement from nnnnnnnnnnmnmnnnnn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 3\/4 (c) 74\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 256. Calculate the highest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 522 = -2*q - 13*d, -5*q + 4*d = 1300. Round q to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 6) in base 7?\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*g + 9, 0 = -w + 4*g + g + 18 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/66)\/((-2)\/(-4)). Let k = -4.171 - -0.171. Sort -5, a, k, -3\/5 in ascending order.\nAnswer: -5, k, a, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16463484?\nAnswer: 2, 3, 457319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.3 in -3\/4, 2\/3, 11, 7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -49026*f**3 - 675*f - 47580. Let z(b) = 1325*b**3 + 18*b + 1286. Let c(k) = 6*y(k) + 225*z(k). Differentiate c(i) wrt i.\nAnswer: 11907*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -15. Let c(i) = 17*i**3 + 11*i**2 + 11. Let n(v) be the second derivative of 3*v**5\/10 + v**4\/3 + 2*v**2 + 18*v. Determine s*n(b) - 4*c(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10319\/14 < -738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0574 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/3 <= 1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jojjfjowwjjjjowjffww. What is prob of picking 1 f, 2 w, and 1 o?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -99. Suppose 0 = -n + 4*l - l + d, 2*n + 3*l = 30. Let c = 0 - -3. What is the highest common factor of c and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 2. Let i be c(-2). Solve -i = 5*z - 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20014109 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grg. What is prob of picking 1 r and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236053?\nAnswer: 236053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38888352 divided by 9722088?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0.016582, 2, 16 in ascending order.\nAnswer: 0.016582, 1, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:09 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4036878*c**4 + 368535 with respect to c.\nAnswer: 16147512*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 548*c**2 - 1 - 654*c**2.\nAnswer: -106*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*c - g + 65 = 191*c, c + 5*g = 64. What is the remainder when c is divided by (24\/(-10))\/(6\/(-40))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 + 91 + 713048*b**2 - 21*b - 713047*b**2.\nAnswer: (b - 16)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 56 = 4*x, p - 2 = -6. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501013 (base 8) in base 6?\nAnswer: -3304535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -285\/7, -1\/3, 6, 1, -3\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 + -115. Suppose -2 = 5*h + b, -3 = -3*h + r*b - 12. Suppose 0 = -12*w + 92 - 32. Put w, -12, h in decreasing order.\nAnswer: w, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30\/11 (b) 1\/5 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.02814\nAnswer: -0.011256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32406744 to the nearest integer?\nAnswer: 5693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*b**2 + 130 + 120 - 250.\nAnswer: 656*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 1 - (-4 + 0). Suppose -5 = -c, -4*n - 3*c - y = -38. Let r(l) = -l**2 + 7*l - 1. Determine r(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -12. Suppose 0 = -4*d - 3*q - q + x, 21 = 4*d - q. Suppose d*h = h. Is 0 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-47 - -19 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/3 + 86\/3*r**2 + 14\/3*r**4 - 20*r**3 - 16*r = 0. What is r?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 815\/8 + -102. Suppose -4*h - 12 = 5*f, 3*f + 1 = -4*h - 3. Suppose 0 = q + h*q - 3. Which is the third biggest value? (a) y (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 18*z + 19. Suppose 6 = b + 1. Suppose -32 = -b*g + 3*g. Is f(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 16 = 4*m, 4*m = -4*v + 3 + 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1353 and -101\/656.\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101001000100 (base 2) to base 7.\nAnswer: 61326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 809742\nAnswer: 4\/134957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 83308*d**3 + 249960*d**2.\nAnswer: -4*d**2*(d - 20830)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 + 6 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -8) + 2 + (-7 - -4). Suppose 7*u - 1078 = -z*u. What is the smallest common multiple of u and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36325 (base 8) in base 9?\nAnswer: -23323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(420) + sqrt(420))\/(sqrt(192)\/sqrt(4)))\/((5*sqrt(30)*-2)\/(-2*sqrt(18)\/sqrt(3))).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:08 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 515115 to the power of 1\/2, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 11 - 7. Solve -d*b + 2 = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 240 = 2*x. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*o + 26850 = -179427, 2*x - 3*o = 137528. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212579 is divided by 3218?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 32*f**2 - 32*f + 45. Let u be x(31). Suppose a + 4*m - 27 = 0, -3*a + 12 = m - u. Solve -5*c = y - 21, a*y + 4*c = 2*y + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7988306 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 211?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1553.9 to the nearest ten.\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - -2.89. Let r = 66\/7 + -67\/7. Which is the second biggest value? (a) i (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*r**6 - 9444*r**4 + 15*r**2 - 2497*r + 4 wrt r?\nAnswer: 2040*r**3 - 226656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -94*g + 99*g + 13, -2*l - 2*g = 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -423 - -425. Calculate the remainder when 100 is divided by (-3 + -90)\/(p + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l**2 + 1. Let t(w) = w**3 - w - 2. Let f be (-1)\/3*-3*4. Let d(o) = f*y(o) + 2*t(o). Factor d(x).\nAnswer: 2*x*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -8 - -8 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1521552 (base 6) to base 10\nAnswer: -88556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 - -166. Let c be (1 + y\/(-25))\/(418\/1045). Put -40, c, 5 in ascending order.\nAnswer: -40, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 w when three letters picked without replacement from wwwwwkwkewe?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/720 - n**5\/15 + 5*n**4\/8 + 10*n**2. Let x(w) be the second derivative of o(w). Let g = -11 - -5. Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*q - 7*q - 5*q + 2.\nAnswer: 54*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1689 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1337, 2149, 2433, 2189, 1417?\n\"Answer: -264*y**2 + 1604*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1785*r**2 + 10*r + 16*r - 26*r.\nAnswer: 1785*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) + 0 + 0. Let f = 793.2 + -699. Let g = f + -94. Which is the nearest to g? (a) 4 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -19. Let d(g) = g**3 + 6*g**2 + 2*g + 3. Determine d(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -4*i. Let m = 13 - i. Let l = 21 + -1. Calculate the remainder when l is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25025 and 842800.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75695297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**3*g**3 + 3*c**3*g**2 + 116*c**3*g + 2*c**3 - 3*c**2*g - 31*c**2 - 1584*c*g**2 wrt g?\nAnswer: 42*c**3*g + 6*c**3 - 3168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**5 + 6012*g**3 + 105064*g**2 + 348432*g + 324576 = 0?\nAnswer: -21, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14074 (base 10) in base 14?\nAnswer: 51b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 1, w: 3, i: 4, j: 2, v: 4}. Give prob of picking 1 h and 1 v.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 7. Suppose t*x = 4*x + 54. What is the highest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010221102012 (base 3) in base 4?\nAnswer: 20121323030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 5797.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1330 and -19\/978490.\nAnswer: 130139170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 14 = i, -3*i - 4*z + 23 = -12. Suppose -2*h = 5*p - i, -3*p + 0*p + 7 = 2*h. Let n be 3\/3 - p\/9. What is the second smallest value in -5, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c**3 - c)*(-2*c + 1 - 1) + 2844*c**2 + 45 + 75*c**4 - 5684*c**2 + 2840*c**2 to the form s*c**3 + j*c + o*c**2 + b + v*c**4 and give v.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and -0.2728969.\nAnswer: 46.7271031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/11 + 2*w\/11 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 0 + 2\/7*z**2 + 4\/7*z = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - -301. Let s = -152 + p. What is the highest common factor of s and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887906.\nAnswer: 2, 443953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2010, 2018, 2026?\n\"Answer: 8*t + 2002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12752 by -1.\nAnswer: 12752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -576404801 bigger than -576404802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2320617477 + -3?\nAnswer: -2320617502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.45, 13, -60\/139, 0 in increasing order.\nAnswer: -0.5, -0.45, -60\/139, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b + 4. Let h(o) = -140*o + 55. What is -4*h(s) + 55*i(s)?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13837?\nAnswer: 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-28))\/(30\/45)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388982 divided by -17681?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1032 - -0.0368. Let p = m - 0.14. Let n = -3.55 - -1.55. Sort -0.02, n, p.\nAnswer: n, -0.02, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 2926?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71)\/(-426))\/(3\/738)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 7 - (1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.92 + 1.61. Let c = -4.01 - o. What is the second smallest value in -0.3, 14, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 147?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/2 + 583*d**2\/2 + 1975*d + 2001. Differentiate g(y) with respect to y.\nAnswer: 6*y**2 + 583","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*b - 8*b - 36 = 0, -5*b - 66 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3289355 divided by -657871.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -643 (c) -0.1 (d) -0.2 (e) 42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-2))\/(2\/4). Suppose -2 = l - 5*p + p, 2*p - 10 = -r*l. Suppose -84 = -4*g - 3*k, 5*k = l*g + k - 20. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2 + 3*z**3 - 2 - 2*z**3 - 7*z - 3*z**3 + z**3. Let j be m(-6). Suppose -j*q + q = -54. Calculate the highest common factor of 180 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*v + 3168048*p - 171*v - 19999 with respect to p.\nAnswer: 2*v + 3168048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(3*1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-36) - 122\/(-549)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -825 by -11.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, 52 in increasing order.\nAnswer: -4, -3, -1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217174137.\nAnswer: 1217174137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63*1 - (-16)\/8. Let f = w + -43. Factor 3*n**2 - n + 3*n**4 - 25*n**3 + f*n**3 - 2*n**4.\nAnswer: n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -68*x - 1. Let q(i) = 2*i**2 + 12*i - 15. Let j = -75 + 67. What is the remainder when v(-2) is divided by q(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 186?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(270\/(-40))*(-3 - 0). Let i = 1.4 + -2.1. Let f = i - -1. Which is the nearest to f? (a) w (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 + 1. Let w be g(-1). Let s = -8 + 8. Let k = w + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 475*s - 24580. Calculate u(-58).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose -241 = -5*o - 2*s, 0 = -2*o + h*o - 3*s - 104. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0.3, 4\/7, -3, 0, -60?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from {x: 2, g: 1, b: 4, s: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18759 + -18714. Calculate the highest common factor of 2169 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -0.02, 2\/5, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 6\/5, 3, -33.6?\nAnswer: -33.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -6*j + 3*j. Let y be 1 - j*(-1 - -178). Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/11 + 97425640\/220)\/(-1). Let p = n + 179944. Round p to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004059445 rounded to 4 dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 - -5 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3221 = 5*a, 4*u + a - 3215 = -0*a. Let x = 8806\/11 - u. Calculate the common denominator of x and 91\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cscssc. Give prob of sequence cs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/12 + o**3\/3 + 13*o**2\/2 - 25*o - 1. Give a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 4 - 3*u)*(-2*u**3 - 2*u + 2*u).\nAnswer: 8*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*f - 145 = 0, -m - 3*f - 36 = -4*f. Let r = m + 40. Calculate the remainder when 22 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20)\/(-2*(-2)\/(-22)) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111111010 (base 2) to base 12.\nAnswer: -330a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9011\/5 + -1802. Suppose 2*b + 7 + 10 = 3*z, 0 = 5*z + 2*b - 7. Factor 1\/5*d**z + 1\/5*d**4 - 1\/5*d + 0 - y*d**2.\nAnswer: d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 200*u**2 - 118*u + 26. Is 12 a factor of z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8*y. Solve -4*p - 8 = -i - 2*p, 2*p + 10 = y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232\/522*-1*15.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - 2*o**3 + 2*o**3)*(o - 2*o + 3*o) + 1647*o + 19*o**2 - 1647*o - 3*o**3 - 3*o**5.\nAnswer: -7*o**5 - 3*o**3 + 19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41\/26 (b) -0.06 (c) -0.2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = b. Suppose 4*z = -n + 18, -n = n - b*z. What is the highest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1552*m + 323. Is g(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 60. Suppose -b - 20 + 4 = 0. Sort o, 2, b in descending order.\nAnswer: 2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)\/sqrt(4))\/sqrt(4) + sqrt(180) + -4)*5)**2.\nAnswer: -1400*sqrt(5) + 6525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 82*v + 1761. Give i(-54).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:48 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*w - 3*k + 64, 5*k + 64 = 4*w. Solve 3*i + w = -2*m, -2*i + m - 2 + 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 3*s**8\/560 + 2*s**4\/3 - 5*s**3\/3 + 13. Let y(n) be the third derivative of b(n). What is the derivative of y(h) wrt h?\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69100971, -69100972, -69100973, -69100974, -69100975?\n\"Answer: -b - 69100970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 27*l**2 - 21*l - 69. Let o be m(-4). Suppose -o*f = -446*f - 2329. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509049665 less than -118?\nAnswer: -1509049783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -716 by 145.\nAnswer: -716\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2*q**5\/35 - 5*q**4\/14 - 16*q**3\/21 - 4*q**2\/7 - 4. Find n, given that u(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -14. List the prime factors of y - -2*22\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/90)\/(-1))\/(3\/1305*145)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/18 - (-388)\/(-873).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781255627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -13*b - 414. Let m = b - -29. Solve -3*s + m = -6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 19}. Give prob of sequence aa.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1777, 5, 4, 13, -2 in decreasing order.\nAnswer: 13, 5, 4, -2, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o + 8. Let j = o + 2. Let w = -3 + 4. Is w at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 3. Let z(g) = g**2 - g + 2. Let k be z(2). Let c be x(k). Let b(w) = w**3 - 9*w**2 + 14*w + 4. Let v be b(c). Solve -v*i + 3 = 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -163*d. Let n be h(-1). Let v(t) = -3 + 3 + n*t - 165*t. Let s(c) = -18*c. Give s(v(z)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-10 - (-40 - -52)) + 96?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 958 - 127 + 1899 = 15*i. Calculate the greatest common factor of 728 and i.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13 - (7 - (106 - 12))\/143\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x. Let g(k) = -893*k**2 + 9*k + 2. Determine g(b(d)).\nAnswer: -150917*d**2 - 117*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:39 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.052 + -0.0519942. What is h rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/308211 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11073?\nAnswer: 3, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 135 = -11. Let f = r - 18. Let g = f - 6. Solve -g*j + 3*j = -5*h + 31, -j = h + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88554, 176668, 264782, 352896?\nAnswer: 441010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 13544*d + 1943413. Calculate c(-142).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9429262 by 79909.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 6*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1232 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -3 + -1 + sqrt(891) + -2)**2.\nAnswer: -4580 + 450*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -0.4, 1\/4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, -10, 1, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*a - a - 189 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + -100270?\nAnswer: -100256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1084386\/1735 or 625?\nAnswer: 625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, 1\/5, -0.3, -217, -805?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = b + 5. Suppose 0*q = -3*q + 5*v - b, 2*q - 3*v = -8. Differentiate 3*t - t - t - q with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {f: 13, x: 3, e: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 12*y**2 + 11*y + 7. Let w be o(11). Find the first derivative of -323*l + w + 133*l + 1 + 127*l wrt l.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7547 rounded to the nearest one hundred?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 3, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10944 is divided by 3646.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/(-336)*-8 - 2263\/(-2)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117815 by 23563.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:34 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + (-3 + 3 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/260 + 141\/(-10). Is (17\/(-4))\/(3525\/252 + z) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 13*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 580\/(-770) + (-16)\/(-28)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*j + 12, 15 = 5*j + 31*l - 29*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/92 and -21\/40?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/4 - 288*t**2 + 6699*t.\nAnswer: -3*t*(t - 22)*(t + 406)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/448, 1, -440.2?\nAnswer: -440.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/(-185) + -5 - (-18)\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*n + 17 = 0, 2*n = 4*q - 0*n + 82. Find the common denominator of (-60)\/16*21\/q and (11\/(-121))\/((-4)\/130).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 11 = -x, -3*w - 20 = -7*w + 4*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -41*p**3 + 6*p**2 + 10*p - 64. What is the tens digit of l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 8*k**2 - 6. Let w be x(-8). What is the units digit of 5 - 1266\/(36\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**4 - 14960*g**3 - 315700*g**2 - 842320*g - 541584 = 0?\nAnswer: -18, -2, -1, 3761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3861953 kilometers to nanometers.\nAnswer: 386195300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 1. Let s(c) = -6*c**3 - 10. Suppose -109*b = -108*b - 10. What is b*t(h) - s(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1161*i + 12228 = 37770 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -1753, -5385, -12289, -23515, -40113, -63133?\nAnswer: -93625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j = -20, -4*t + 81 = -5*j. Let z be 231\/66*1\/((-1)\/t). Let d = 20 - z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -24*r + 6. Let u be 3*1 + (1 - 11). Let t be i(u). Round t to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 1384845 + 1384845.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842 - 25 - 280 = 203*r - 1087 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -22. Suppose 0 = -3*f + 3*g - 0*g - 12, 3*f = g - s. What is the closest to 2\/3 in 2\/5, f, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**3\/6 + 4*m**2 - 10*m. Let b be h(-6). Solve 2*p = -b*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -25. Which is the biggest value? (a) -1\/4 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*f - 8 = -96*f. Let r(x) = x**2 - 5*x - 6. Let d be r(6). Solve d = 4*a + a - 4*y + 25, f*y - 25 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5 = 1, 5*x = 3*s - 70. Let y = 6 + s. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 81292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 5. Let m = 0.1 + q. Let h = 4\/23 - 82\/207. What is the closest to 0.1 in m, -0.5, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 2, f: 5}. Give prob of picking 1 t and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g**3 - 66*g**3 - 67*g**3.\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h. Let d(o) = 3*o - 4. Let l(k) = 4*k - 7. Let c(u) = 7*d(u) - 4*l(u). What is y(c(f))?\nAnswer: 85*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 4*k**2 - 4*k + 3. Let c be u(2). Suppose 15 + 0 = c*i. Suppose 0 = -2*t - i*d - 21 + 2, 0 = 4*d + 20. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 630133 + -1648633. Round u to the nearest 10000.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2 - ((-60)\/(-6) - -16). Is 4\/3 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78)*-3 + sqrt(78))*4 + 5*(sqrt(78) + sqrt(78) + sqrt(78)*-2))\/(-3*(sqrt(6) + 1*sqrt(6))*3*-5))**2.\nAnswer: 208\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1150, -9290, -31408, -74500, -145562, -251590, -399580, -596528?\nAnswer: -849430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 6*h + 4*h)*(11 + 0 + 0)*((-2*h + 4 - 4)*(-3*h**3 - 3*h**3 + 4*h**3) + 3*h**4 + 7 - 5 - 4*h**4).\nAnswer: 132*h**5 + 88*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 3*u - 4. Give s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -24. Let g(c) = -c - 17. Let w be g(-8). Let s = 18 + w. Solve -2*o = q - s, q - 2*q + 4*o = p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4295 - 2542*h + 4296 + 4286 - 12877 to t + k*h and give k.\nAnswer: -2542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -724 + 8267.2. What is d rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v**3 + 1)*(-4*v + 3*v + 4*v) + (-2*v**3 - 2*v**3 + 2*v**3)*(-v + v - v) + 2*v**4 + 5*v**4 - 3*v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 281.026318463?\nAnswer: -278.026318463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336337*n**3 + 5*n**2 - 2*n - 2752747 wrt n?\nAnswer: 2018022*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcc when three letters picked without replacement from xyqcc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k\/k**(-5\/6))*k*(k\/(k*k**11))\/k)**7)**(-10))**(-2\/35) assuming k is positive.\nAnswer: k**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 3. Suppose -5 = -6*h + h. Let j be w\/h*(-30)\/(-9). Solve -j = -5*n - 5*b, 2*n - 4 = 3*n - 2*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14696 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.3375 kilometers in micrometers?\nAnswer: 490337500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27767439 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/15*-6 - 986\/85?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -9*o - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26940777.31 - 26940983.3100061. Let d = 206 + u. Round d to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*a - 131*a + 9*a**3 - 137*a - a**3 - 115*a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 57*j - 142. List the prime factors of l(10).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4970 and 3541\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33359 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 33*g + 89. Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 11*i + 5. Let o be y(-12). Let s = o - 6. Solve 4*r - s = 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120744.91531 plus -7?\nAnswer: -120751.91531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 81. What is the greatest common divisor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 h when four letters picked without replacement from hslhssssshshshhhshl?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*u + 252 + 3024 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -373 + 177. Let d = m + 333. Suppose 2*l - 35 - d = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.1, -41\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420) - 3*(sqrt(420) - sqrt(420)*2)) + sqrt(420))\/sqrt(12))\/(-5*(-2*sqrt(40))\/sqrt(8)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 4*x**2 - 4*x**2 + (4*x + 2*x - 5*x)*(-2*x - 3*x + 7*x) - x**2 - x**2 + 4*x**2 + (2*x - 2*x - 3*x)*(-x - x - 2*x) + (2*x + 0 + 0)*(9 + 8*x - 9).\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6\/7 + (-1 - -3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2971, 2964, 2951, 2932, 2907, 2876, 2839?\n\"Answer: -3*m**2 + 2*m + 2972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4 - 48*p**3 - 174*p**2 + 1400*p - 1176 = 0.\nAnswer: -14, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1060\/424)\/(5\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m - 6 - 5*m - 3*m + 1. Let p be w(6). Which is bigger: -1\/16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(1\/25)*(b*b**(-1\/4))**0 assuming b is positive.\nAnswer: b**(3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/5 - 712*t**2\/5 - 3518*t\/5 - 2808\/5 = 0.\nAnswer: -351, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*n + 3, -y + 2 = -2*n - 3*y. Solve -4*j + 3*o + 18 = -0*j, 0 = -j - o + n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -35*n**3 - 1. Let w be u(-1). Find the common denominator of (w\/(-10))\/((-21)\/35) and (6*8 + 1)\/(-6) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3580700034 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z + 28 = 0. Let k = 16449 + -16446. Which is the closest to 0.1? (a) k (b) 3\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1269 divided by 423.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 + 282980*q\/3 - 10009710050\/3.\nAnswer: -2*(q - 70745)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6557191.\nAnswer: 6557191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.26 + 0.26. Let i = -2.5 - r. Which is the closest to -2\/5? (a) 6 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -382 + 616. Calculate the highest common divisor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4293480719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -135*s**5 - 462*s**4 + 509037*s**3\/5 + 1236588*s**2\/5 - 281076*s\/5 - 117936\/5 = 0.\nAnswer: -28, -13\/5, -2\/9, 2\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2412288 is divided by 137?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1014*c**2 - 104*c + 8\/3 = 0. Calculate c.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1\/5 (c) -27 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1062\/14497 - 2\/14497. Does s = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6264021 is divided by 98?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6 + 2. Let g = 23 + 29. Let v = -50 + g. Solve 4*f - v - 2 = -b*c, -2*f - 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141051610 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5055 is divided by 1167.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 5. Let r(k) be the first derivative of 11*k - 2 + 11\/2*k**2. Let u be 454\/50 - (-40 + (-50100)\/(-1250)). Give u*j(y) + 4*r(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 18. Suppose w*s - 2 = s. Let z = 4 - 4. Solve z = 5*l + 27 - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4630620, -4630548, -4630450, -4630314, -4630128, -4629880, -4629558?\nAnswer: -4629150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 623424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Suppose j*a = x + x - 2, 0 = -3*a - 3*x + 27. Suppose a*m = 2*b - 90, -3*b + 0*m - 3*m = -171. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 4\/5)\/(874\/(-2344505)). What is the highest common divisor of z and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8348704 and 9059232.\nAnswer: 425783904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*z = 1 + 7, 4*z + 16 = -4*b. Suppose 2 = q + 2*n, -13 = -4*q - b*n - 3*n. Solve -7*d - q = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m**1*m*m)\/m)\/m*m)\/m)\/(m\/m**7))\/((m*m**(-7))\/m*m\/(m**(-4)\/m)))**20 assuming m is positive.\nAnswer: m**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 105 = 2*q. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477263 is divided by 508.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*a**2 + a**3 + 73*a - 169*a**2 + 82*a**2 wrt a?\nAnswer: 6*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26894, 53738, 80526, 107270, 133982, 160674, 187358, 214046?\nAnswer: 240750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.17 (b) -4 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose p*v + 8 = 9*v. List the prime factors of (14\/(-21))\/(v\/(-36)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 151\/895 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 3 = 0. Suppose -t = k*t. Solve -4*n + 23 - 7 = t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, l: 7}. Give prob of sequence ll.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 315936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 + 3*l**3)*(-3 + 4*l**2 + 3) - 4*l + 4*l - 5*l**5 + (0*l - 2*l + 4*l)*(0*l**4 - l**4 + 0*l**4).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79712 is divided by 219?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 10 + 96*p**2 + 764*p**2 - 10.\nAnswer: 873*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*z**2 + 123*z**2 + 95 - 95 - 241*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03327 and 437992185.\nAnswer: 437992184.96673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - (7 - 505\/70)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115144655*p**5 - 169224649*p.\nAnswer: -2302893100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 at least as big as 17990\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b - 208. Give j(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let m be (-1)\/(-4) + 30\/8. Let u(f) = -f + m*f**2 + f. Calculate u(t(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -4. Suppose -4*a + 48 = -3*g, 2*a - 3*g + j*g = -2. Calculate the highest common divisor of 90 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*g - 11135 = 0, 6*g - 2231 = q + g. Let x = q - -3985. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 6*l + (l - 3*l + l)*(-2 - 1 + 4))*(-l + 0*l + 4*l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a119d78 - 0?\nAnswer: a119d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8479, -8467, -8455?\nAnswer: -8443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**5\/5 + 108*u**4\/5 - 1068*u**3\/5 + 3222*u**2\/5 - 189*u - 5346\/5 = 0.\nAnswer: -1, 3, 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0.2. Let d = i + 0.3. Let k = 4\/37 + 38\/333. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(512) + sqrt(40)\/(sqrt(32)\/sqrt(4)).\nAnswer: 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*u - 125*j + 128*j, 14 = 5*u + 4*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 136132883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osu when three letters picked without replacement from xsoskkurxouoxuu?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 821 = 14*i - 29*i + 197 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2340430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -59*l**3 - 5*l**2 + 4*l - 9. Let i(v) = -237*v**3 - 21*v**2 + 15*v - 33. Determine 3*i(z) - 11*s(z).\nAnswer: -62*z**3 - 8*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-8)*(-27044)\/42. Let x = y + 533063\/1785. Let u = -116\/5 - x. Sort u, -2\/17, 1.\nAnswer: -2\/17, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*z - 5*d + 3*d, 3*z = -4*d + 8. Let a be -5*21\/(-15) - (-1 - z). Solve a = -3*t - 5*w, 0 = -w - 1 + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045523 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 - 1 = 4*s, 3*s - 1 = 4*a. Suppose -f - f = 3*l - 77, s*f - 107 = 4*l. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (41958279 - -1)*(-2 - 3\/(-2)). Let r be 10\/75 - n\/75. Suppose 0 = 8*b + 99722 - r. What is b rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 109981, 220155, 330329, 440503?\n\"Answer: 110174*l - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.30437625 rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 - 522*l**3 - 26727*l**2 - 336492*l - 310284 = 0 for l.\nAnswer: -78, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j. Suppose -2*w + 6 = 5*k - 16, 3*k - 6 = -3*w. Determine g(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + y = -4718 - 5768, o - y + 10492 = 0. Round o to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -0.4 (c) 7\/15 (d) -0.1 (e) -339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**7\/420 + v**6\/80 + v**5\/40 + v**4\/48 + v**2 + 4*v. Let l(t) be the first derivative of o(t). Let l(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*l + 6, -5*z = -l - 3*l - 8. Let s be 14\/6 - 1\/3. Solve z = 3*h - h - s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 996 + -997.158. Let v = h - -0.158. Let c = -2 + 1.98. Sort -1\/3, v, c in descending order.\nAnswer: c, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1480*m - 17785. Determine r(-12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18 - 23 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (51 - (0 - 0))*(-36)\/(-108). Solve f + 4*q = -0*f - s, -3*q - 15 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 152\nAnswer: -23\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -136674*r - 1093375. Calculate s(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (108 - 108 - 8*p)*(-8 - 1 + 1)*(0*p - 4*p + 3*p) in the form h*p**2 + j*p + a and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 908*u + 147. Let p(d) = -3*d**2 - 1816*d + 245. Let s(g) = -3*p(g) + 5*z(g). Find j, given that s(j) = 0.\nAnswer: -227, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Let q(y) = -y**2 + 3*y + 1. Let t be q(4). Let i be (-2)\/(-2) + (-10)\/2. Sort i, f, t in increasing order.\nAnswer: i, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i + 1. Let h(n) = -4*n + 1. Let y(t) = -5*h(t) + 4*s(t). Let q(z) = -9*z + 3. Determine -2*q(b) - 5*y(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 8*n + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-3 - (-6)\/((-18)\/(-15)). Find the second derivative of -r**3 - 20*r**5 - d*r**3 + 3*r**3 + 9*r wrt r.\nAnswer: -400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2081 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 - -208. Is (7\/z)\/((-1)\/3148) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -0.2, -18, -0.03?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 99 (c) 52\/29817\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 9*b - 12. Let m(u) = -u**2 + 17*u - 23. Let l(y) = 6*m(y) - 11*z(y). Suppose 4*t - i = 10 + 6, 2*t = -5*i + 8. Is 26 a factor of l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 944a + 425?\nAnswer: 9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1688, -3376, -5066, -6758, -8452, -10148, -11846?\nAnswer: -13546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*q - 130*q - 1724362*q**3.\nAnswer: -1724362*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 (base 12) in base 14?\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:34 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c - 3*c)*(0*c**2 + 0*c**2 + 2*c**3)*(8 + 1 + 2).\nAnswer: -44*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*h**3 + 112290168*h - 1 + 1 - 112290168*h.\nAnswer: 53*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - -5 - (-1003 + 1006)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjojmji. Give prob of sequence jm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 2*j**2 - 3*j**3 - j + j**3 + j + (-1 + 1 - j)*(-1 + 1 - j**2) + (-5 + 0 + 3)*(2*j**2 - 2*j**2 + 2*j**3).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 5)*(1 - 2 + 2)*(4*c - 6*c + 4*c)*(0 + 3 - 1).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 8:17 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.805 to 2 decimal places.\nAnswer: -2.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*r**4 - 3612*r**3 + 39192*r**2 + 35972*r.\nAnswer: 4*r*(r - 23)**2*(20*r + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + -3 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*u = -7, 0*m + 11 = m - u. Let q(f) = -f**3 + 8*f**2 + 5*f + 3. What is the tens digit of q(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/(-55) - ((-2)\/(-5) - 0) - -23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o + 85*o = 33 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:50 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 6467, 3 in decreasing order.\nAnswer: 6467, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, s: 1, u: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/7 + 6619946*o\/7 - 1891412 = 0. Calculate o.\nAnswer: 2, 3309971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = j. Let d be 365\/20 - (-2)\/j. What is the highest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54008 and 1843496?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.018033\nAnswer: -0.00018033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(34)\/sqrt(2) + (sqrt(425) + -1 - sqrt(425)))*6.\nAnswer: -6 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {d: 5, g: 2, w: 5, y: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let s = -21 - -17. Let z(y) = 3*y + 1. What is s*f(g) + z(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9567144 divided by 267.\nAnswer: 35832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 27*o**2 - 577*o - 15198. Determine n(-27).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**5\/270 - 47*y**4\/27 - 380*y**3\/27 - 6*y**2 - 232*y. Solve k(a) = 0 for a.\nAnswer: -2, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 96*c + 113 - 157 + 24*c. What are the prime factors of k(8)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5867011 by 3.\nAnswer: -5867011\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a milligram in micrograms?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:02 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22496 - -44995\/2. Sort 1\/13, 1, 7, -0.2, g.\nAnswer: -0.2, 1\/13, 1, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1199\/7 - 171. Let u be 2\/6*(-3 - -2). What is the third biggest value in 1\/7, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*2\/32*4. Sort 1, 0, d in increasing order.\nAnswer: 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 0)*(-d + 4*d + 2*d)*(3*d - 3*d - d) + (0 + 0 - 2*d)*(5*d - 3*d + 3*d) to the form n*d**2 + o*d + h and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10363, -10343, -10323, -10303, -10283?\nAnswer: -10263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k + k**3 + 0 + 3*k**2 - 37\/24*k**4. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n)**(-1\/84)\/((n\/(n\/n**(-1\/4)))\/n**(-4)))\/(n**(-3\/8)*n**(-2)*(n*(((n*n**(1\/2)\/n)\/n)\/n)\/n*n*n)**(2\/17)) assuming n is positive.\nAnswer: n**(-4129\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 - 4*p - 24. Let g be y(-7). Suppose 37 = g*f - 87. Is 31 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17967, -16664, -15337, -13974, -12563, -11092, -9549, -7922?\nAnswer: -6199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 16 = -3*j, 0 = 2*j - 15*l + 10*l - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/5)\/(38\/(-95))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2046 rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + (-1*(sqrt(14) - sqrt(70)\/sqrt(5)))\/(sqrt(72) + 2*sqrt(72)) + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 295*t**2 + 4475*t - 4185.\nAnswer: 5*(t - 31)*(t - 27)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2 + 60*r + 4. Suppose 14*s - 53 = 115. Let y be c(s). Solve 4*b = 5*b + y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/25)*o\/o**(-1\/2))\/(o**(1\/2))**(1\/12) assuming o is positive.\nAnswer: o**(923\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 - 180*w**3 + 2066*w**2 - 4968*w + 3080 = 0. What is w?\nAnswer: 1, 2, 10, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229*r**2*v**2 - 2*r**2*v + 5*r**2 + 100*r*v**2 - 7*r*v + 41*r - 2115*v**2 + 29*v + 11 wrt v?\nAnswer: -458*r**2 + 200*r - 4230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/77859150 and 11\/4152488.\nAnswer: 311436600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.08, 6\/5, 4, -0.012, -1\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnp when three letters picked without replacement from lypnngjnnnplp.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15) + 0\/(-2) - 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.08 (b) -1 (c) -0.5 (d) 1\/2 (e) 7 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v - 5 = s - 57*v, -2 = 2*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 379940407 * 0.3.\nAnswer: 113982122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w + 4. Let q(i) = -7*i - 4. Let z(r) = 6*k(r) + 5*q(r). Let o be 2\/(-9) - 129\/27. Determine z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18314*j**4 + 5*j + 59?\nAnswer: -219768*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 150\/12*-18. Let g = d + -2077\/9. Which is the nearest to g? (a) -1\/4 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*t - 171*t + 59*t - 457*t + 115*t + 90*t.\nAnswer: -824*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 176. Calculate the highest common factor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 17*a = -52. Suppose -a*b + 497 = m, -9*m + 4*m = b - 110. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75138\/65 - -1156. Let l(c) = -4*c**2 + 83*c + 182. Let k be l(-2). Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:41 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -8 + 19 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m**4 + 1464*m**3 - 2349*m**2 - 1446*m - 192 = 0. What is m?\nAnswer: -32, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -0.008 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2256 divided by 6242.\nAnswer: 1128\/3121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 - 100. Which is the third smallest value? (a) -0.2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/53? (a) 0.07 (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24234851401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1773778 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose -4*d - 2*v - 4 + 12 = 0, c*v = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.15 - -0.15. Let p = -7699 + 69290\/9. Which is the closest to 2? (a) p (b) -16 (c) s (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1812055, 1812057, 1812059, 1812061?\nAnswer: 1812063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-47)\/45 - -3 - 2). Solve -13*o - r = -22*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 3:48 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002826 rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*u - 46*u**4 - 57*u**4 + 102*u**4 + 1 + 2*u**3 in the form v*u**3 + j*u**2 + p*u**4 + x*u + i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 47*h - 91*h + 3 + 35*h. Suppose 0 = -4*b + 6 - 18, 3*b = -5*x - 4. Determine l(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -648 + 648.3. Suppose 3*v = 3 - 6. Which is the nearest to -2\/7? (a) w (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 3*h + 1. Let t be f(0). Solve 9 = -4*a + t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006454 rounded to 7 dps?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259819*q**3 - 60144*q**2.\nAnswer: 1558914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 6*u**2 - 4*u + 18. Suppose 27*j - 114 + 66 = 114. What is s(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 7*o**4\/12 + 7*o**2 + o. Let h(x) = 4*x**2. Determine u(h(i)).\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 14*l**2 - 16*l - 7. Let z be d(-15). Solve 13 = -o + z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -154062421?\nAnswer: 154062415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m + 1. Let s(u) = -31*u - 5. Determine 3*h(j) + s(j).\nAnswer: -46*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2294*l**2 - 420 + 420 - 3*l + 2*l - 137*l**2 to the form t*l + u + m*l**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6292903 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 310841010 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -374 - -154?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*m**2 - 29*f**2*m*o + f**2*m + 4*f**2*o**2 - 440874*f*m**2*o**2 + 2*f*m*o**2 - 947*o**2 wrt m?\nAnswer: -2*f**2 - 881748*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuo when three letters picked without replacement from {o: 18, u: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*m + 13*m - 55*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 5*a**8\/336 + 4*a**7\/21 + 5*a**6\/8 - 2*a**5\/3 - 10*a**4\/3 - 96*a**2. Find t such that g(t) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 217\/9*g + 24 + 1\/9*g**2.\nAnswer: (g + 1)*(g + 216)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -1011?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.791 + 5.791. What is the smallest value in -0.3, q, -4, -3\/404?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21203 smaller than 21199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 17343?\nAnswer: -17344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451403 (base 8) to base 9.\nAnswer: 251847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*j**3 + 5*j**4 - 1 + 65*j**3 - 19*j**4 - j as h + w*j**3 + n*j + t*j**2 + c*j**4 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 + 3*l + 6. Let p(c) = c**2 + 6*c - 5. Let i be p(-6). Determine x(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/6 - p**2\/6 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -396 + 372. Put z, -3, 0 in descending order.\nAnswer: 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*sqrt(98)*5 + (sqrt(30)\/sqrt(3)*-6)\/(sqrt(45)*-6).\nAnswer: 2101*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(s + 3 - 3)*(-3713*s**2 + 361 - 183 - 189 + 970*s**2) to x*s**2 + q*s**3 + r + d*s and give q.\nAnswer: -2743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - s - 18, -a + 3*s = -40 + 10. Let p(n) be the third derivative of -n**4\/6 - n**3 + n**2. Let z(g) = -2*g - 3. Calculate a*p(i) - 5*z(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/4))**(-49)\/(i\/i**1*i)**(-11) assuming i is positive.\nAnswer: i**(-201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*((sqrt(175) - (2*sqrt(175)*5 - sqrt(175) - sqrt(175))) + (3 + sqrt(175))**2*-5).\nAnswer: -4601 - 925*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*z - 47 = 188, -2*p - 3*z = -157. What is the least common multiple of 56 and p?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011 - 1011011101110?\nAnswer: -1011001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1715055 and 99.\nAnswer: 56596815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220*c**3 + 1335*c**2 + 1283010*c - 2?\nAnswer: 1320*c + 2670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f = 43*f + 4. Let a(t) = -t + 3 - 7*t + 5*t - t**3 - f*t**2 + 4*t. What is the least common multiple of 29 and a(0)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 + 7*g**2 - 4*g - 4. Does 19 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b**3 + 13*b**2 - 116*b + 70. Determine s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 divided by -34?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -197, -440, -683, -926?\n\"Answer: -243*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x - 66 = o, 58 = -3*x + 4*o. Let j = x - -16. Let k be 4\/6*3\/j. Is k bigger than 2\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 5, 2, 6886, 0.4, 0 in increasing order.\nAnswer: 0, 0.4, 3\/5, 2, 5, 6886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22767, -45532, -68297, -91062?\nAnswer: -113827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*k - 3377 + 997 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/2 - 1455*m**4 + 43254*m**3 - 155572*m**2 + 149760*m = 0. What is m?\nAnswer: 0, 2, 26, 2880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*d + 1, -168*q + 2*d + 16 = -164*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5 + 389428*m**4 - 1168260*m**3 + 1168252*m**2 - 389416*m.\nAnswer: -4*m*(m - 97354)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - ((sqrt(1300) - sqrt(1300)*-1) + 3))**2.\nAnswer: 60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 1, y: 2, r: 1}. Give prob of picking 1 a, 1 y, 1 r, and 1 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:03 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*x + 168*x**4 + 15*x + 86*x**4 + 154*x**4 wrt x.\nAnswer: 4896*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 25*q**2 + 143*q - 1570. Determine g(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 3*r**2 - 2*r - 3. Let b be p(-3). What is the second derivative of 0*g - 4*g + b*g + 2*g**2 - g wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 279 - 341. Let w be g\/(-28) - (-15)\/(-35). Suppose -6*u - w = 2. Which is the smallest value? (a) 1 (b) -26 (c) u (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.008168 and -17.\nAnswer: -0.138856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 5 + 6*n + 4 + 4. Suppose 0 = -5*t + 14 + 1. What is the lowest common multiple of s(6) and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 45*b**2 + b - 1. Let h be s(1). Suppose -3*j - 2*n + 4 + 31 = 0, -3*j + 3*n = -h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/360 + f**4\/8 + 4*f**3\/3 - 53*f**2. Let g(h) be the second derivative of y(h). Give g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -286 - -287. Solve -4*p = r - i, 0 = -r - 0*r + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39362 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-1 - 2) + 19. Let h = 7 - 3. Suppose -g + 2 = -h. Calculate the greatest common factor of g and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(19\/3)\/((s*s**(2\/3))\/(s\/(s*(s**(-12)*s)\/s*s))) assuming s is positive.\nAnswer: s**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let i = 1 + 1. What is the third smallest value in i, 3\/8, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + 16 + 3222*a - 64 in the form k*a + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -205? (a) 17\/4 (b) 0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.08007\nAnswer: 0.32028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/60*s**6 - 1\/10*s**5 + 55*s**2 + 1\/315*s**7 + 5\/36*s**4 + 0 + 0*s**3 + 0*s. What is k in j(k) = 0?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19570, -20695, -21820, -22945, -24070, -25195?\n\"Answer: -1125*k - 18445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 to the power of 1\/4, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 59110 = -4*b, 25*b - 12*z - 369580 = -7*z. Is 38 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*(-15)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5626391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6 - q + q**2 + 6*q + 0*q - q. Suppose 2*i + 6 + 4 = 0. Give v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 4:30 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/48)\/(16\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/153465 and -26\/561.\nAnswer: 28697955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9011, -18005, -27003, -36005, -45011, -54021, -63035?\n\"Answer: -2*z**2 - 8988*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 119680, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -369*c + 369*c + 2*c**2 + ((2 - 1 + 1)*(0*c + c + c) - 3*c + 3*c + 2*c)*(3 - 7 + 2)*(-6 - 3*c + 6).\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2142483, -2142490, -2142511, -2142552, -2142619?\n\"Answer: -s**3 - s**2 + 3*s - 2142484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1614, -2969, -4312, -5637, -6938, -8209, -9444, -10637?\nAnswer: -11782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Suppose -c - 15 = -4*c, q*k + 5*c - 33 = 0. Solve l + 7 = -0*h - k*h, 5*l = h - 24 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*m = 50*m. Let l(z) be the second derivative of 0 + m*z**3 + 3*z - 1\/2*z**4 + 4*z**2 + 1\/20*z**5. What is l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.9 - 18. Which is the second biggest value? (a) 0.2 (b) 0.01 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 3*m - 964 = 3*d, 3*d - 726 = -3*m. What are the prime factors of d?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -325.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + k + 416. Suppose -5*r - 151 = 3*d, -3*d + 0*d = -2*r - k. Let v = r + -58. Which is smaller: v or -86?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4\/2 + a**3\/2 + 16*a**2 + 22*a + 8 = 0.\nAnswer: -2, -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*v - 2 - 1, 4*a + v + 19 = 0. Let t be 6\/12 + (-9)\/a. Find the third derivative of 7*u**t + 4 + 9 - 18*u**3 - 13 wrt u.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 80*m**2 + 169*m + 14. Calculate h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. Let y(u) = u**3 + 8*u**2 + u - 10. Let m(k) = -k**3 - 6*k**2 - 7. Let f be m(-6). Let x be y(f). What is the greatest common factor of p and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 3 + 2*h - 6)*(-9*h**4 - 9*h**4 + 17*h**4).\nAnswer: -2*h**5 - 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**6\/((t**(-1)\/t)\/t*(t\/(((t\/t**(-2\/19))\/t*t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(268\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*(-4)\/(16\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:02 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1245, -1257, -1283, -1329, -1401, -1505, -1647, -1833?\n\"Answer: -k**3 - k**2 - 2*k - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 18*b**2 - 47*b + 48. What is the thousands digit of l(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhllfnm. What is prob of sequence tmll?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 54, 83, 110, 135?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 7*r + 12. Let c be ((1 - -6) + r)\/((-3)\/(-3)). Suppose -c*p = 2*p - 2*p. Solve 4*t + p*t + 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.085 - -2. Let o = u + 0.09. Round o to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25666.07 + 25793. What is x rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 12 = -5*i, -230 = -2*y - 2*i. Suppose 7*t - y = -9*t. Solve 2*r - t = -d, 0*d = 2*r + 5*d - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.2 (c) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -219 - -8?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*d + 25, 3*x + d - 986 + 967 = 0. Suppose -3*i = 3*v - 12, i = -3*v - i + 12. Solve -x*t = -0*t - v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1.1 (b) 41 (c) -5 (d) 1\/5 (e) -0.12 (f) -2\/7 (g) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -3 + 93)*(-3 - 17). What is r rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46850 by -9370.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(5)*2 + sqrt(45)\/sqrt(36))*4.\nAnswer: 20 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*(-130)\/(-2184)*(-18)\/(-165)*6.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*p**2 + 2168661*p + 107834113.\nAnswer: 20*p + 2168661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 9 - 4) + 3 + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 105167053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -193, -4, 3, 2, 862 in increasing order.\nAnswer: -193, -4, -3, 2, 3, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -35, -112, -263, -512, -883, -1400, -2087?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/278 and -34\/3.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3021*-1.57632\nAnswer: 4762.06272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 9) to base 4\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*t - 2166 = -183*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*x**2 + 38*x**2 - 15*x**4)*(2 + x - 2 - 3*x - x + 2*x - 3*x + 0*x + 5*x + (-2*x + 0*x + 0*x)*(4 - 2 + 0) + 2*x - 3 + 3).\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89.5? (a) -5 (b) -1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*9\/180)\/(32\/2560).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1195*-0.3\nAnswer: -358.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1439 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 1 = -2*z + l, -5*z = -2*l + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + 2*x**4 + 4*x + 811 - 733 + 30*x**3 + 0*x**3 as q*x**2 + c*x + k*x**4 + u + w*x**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114242 - -95760. Suppose 5*z - 4*n = 209992, -n + 2*n = -5*z + i. What is z rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 1 + 11, 29 = j - 5*s. What is the second derivative of 214*g - 39*g**2 + j - 9 - 23*g**2 wrt g?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u - 5*c = -246, -150 = -u - 7*c. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + a - a)*(a**2 - 65*a**2 - 5*a**2) - 5*a**4 + 2*a**4 + 2*a**4 in the form h*a + p*a**4 + o + t*a**2 + n*a**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20538 + 1971565\/96. What is the common denominator of 49\/20 and m?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11264745*p**4 - 62075*p**2 + 6*p - 5 wrt p?\nAnswer: 270353880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 32 = -28. Let k(z) = 315*z**2 - z - 3. Is k(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583346059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -6*m**2 + 15*m - 3851. Give v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - ((-17)\/3 + -1). Let t(r) = 9*r - 9. Let k(f) = -8*f + 9. Let o(a) = -5*k(a) - 4*t(a). List the prime factors of o(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/8 + 5)\/(30\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10539405 and 3910?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*l + 108, 4*k + l = -48 + 156. Factor -k*q**3 + 5*q + 10*q + 3 + 0 + 9*q**2.\nAnswer: -3*(q - 1)*(3*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 6\/19 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 - m**2 + 6*m + 3*m**2 + 9*m - 19*m.\nAnswer: -9*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, y: 1, h: 1, x: 1}. Give prob of sequence yh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 45.071. Let t = 0.1002 + -0.17173. Let p = d + t. What is p rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(11)*1 + sqrt(11) + (sqrt(44)\/sqrt(2))\/sqrt(2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/7, 1\/94 in ascending order.\nAnswer: -1\/7, 1\/94, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14629\/6 - -341347\/140. Find the common denominator of -1\/210 and u.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(448).\nAnswer: -16*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23279 is divided by 1740?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r**2 + 13*r - 21. Give m(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/5, -1\/3, 0.125 in descending order.\nAnswer: 1, 0.125, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-6)\/(-50) - (1 - 0)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 35. Let z = 107 - 119. Is n(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5741.145 decades?\nAnswer: 688937.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 18. Let j be 8\/h*(-9)\/6. Let m be (6\/18)\/(j\/30). Which is the third smallest value? (a) 2 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0, -5, 2, 73 in ascending order.\nAnswer: -5, -3, -1, 0, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqkykdm. What is prob of sequence qu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**2 - 5*p - 5. Let a(w) = -4*w**2 + 2*w + 2. Let v(y) = -5*a(y) - 2*t(y). Suppose 0 = -3*n + n. Let f(c) = n + 1 - 1 - c**2. Give v(f(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 20. Let g be b(8). Suppose -g*o + 52 = -0*o. Differentiate -36 + o + 9*n**3 - 42*n**3 with respect to n.\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*u**3 + 0*u + 0*u**2 - 2\/3*u**4 + 0 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-5)\/(-75)). Suppose w*z - 80 = -3*b, 0*b + 5*b - 3*z = 156. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.6. What is the second smallest value in 1, v, 8\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -132829649413 from -19.\nAnswer: 132829649394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 3, c: 12}. What is prob of picking 2 e and 2 c?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.9*0.069\nAnswer: -0.2691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20747761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (0 - -3)) + 2. Factor 6*t**3 + t - 3 + 0*t**3 - t**p - 7*t + 4*t**4.\nAnswer: 3*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9511534 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9. Let n = 4 + c. Let h be (-168)\/(-98)*14\/3. Solve 4*f + 4*j - 8 = 0, -h = -3*f + n*j - 42 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -1 - 3. What is the derivative of -k*i - 1 + 4*i**2 + 4*i - 2*i wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 435*m - 455*m + 179920. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -16, -3 in descending order.\nAnswer: 3, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 14411103816290?\nAnswer: 14411103816294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = 14*f + 13*f + 1, 13*f = -2*c - 29 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 - 25260*s - 837936 = 0.\nAnswer: -33, 6348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.2 - -35.2. Let s = i - 30.000184. Round s to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 3) + (1 - (-1)\/(-1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488197.4 litres in millilitres?\nAnswer: 488197400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9403, 8830, 8257, 7684?\n\"Answer: -573*u + 9976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 1, h: 2}. What is prob of picking 1 t and 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47184, -95759, -144338, -192921, -241508, -290099?\n\"Answer: -2*b**2 - 48569*b + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-27)\/(-6))*(-63)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209637081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0.4, 1, 17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*i = 5, 13 = -12*f + 8*f + 5*i. Put -1\/7, 2\/11, 1.7, f in ascending order.\nAnswer: f, -1\/7, 2\/11, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -16, 307, 950, 2021, 3628, 5879?\nAnswer: 8882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212777650.\nAnswer: 2, 5, 4255553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146)\/(-20) + ((-72)\/(-3) - (-1071)\/(-45))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7*14\/(-49).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.014 - -0.0139949. What is b rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5 + 3. Let m(z) = -z**2 - 10*z - 9. Let g(o) = -o**2 - 10*o - 10. Let w(j) = -2*g(j) + 3*m(j). List the prime factors of w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)*u*u*u**(-2\/21)*u)**11 assuming u is positive.\nAnswer: u**(2662\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 0.61. Let v = -11006.3 + 11006. Sort -0.4, v, l in increasing order.\nAnswer: -0.4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2744)*2)\/(sqrt(14)\/(sqrt(112) - sqrt(7))))\/(-2*sqrt(36)*1*2).\nAnswer: -7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*v**3 + 1163*v**2 + 3*v + 1733977 wrt v?\nAnswer: 99*v**2 + 2326*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*q**2 + 915*q - 1794.\nAnswer: -3*(q - 2)*(3*q - 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 26*u + 30. Let c be j(-25). Suppose 0 = -5*a - l - 4034, 5*a = -c*l + 2548 - 6578. Let n = -546 - a. List the prime factors of n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34456827 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79443 or -79441?\nAnswer: -79443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172041*k**3*o + 3*k**3 - 2*k**2*o + 6*k*o + 1022*k - o - 52 wrt k.\nAnswer: -1032246*k*o + 18*k - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 4*z**2 + 4*z**2)*(-z + 4*z - 2*z) - 119*z**2 + 114*z**3 + 119*z**2 + 0 + 0 - 2*z**3 - z.\nAnswer: 114*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -164, -238, -306, -368, -424?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/12 - v**2\/2 - 3. Let f(s) be the second derivative of m(s). Let c(j) = 2*j. Calculate c(f(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2 - 0)\/(-1))\/((-56)\/(-14)). Which is the closest to 2? (a) -4 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*b + 2*b + 4*b to the form r + a*b and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.53, 4, -3, 0.2, 0.26, -0.2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5, -1\/135, 6, -0.1, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 5. Let m be b(8). Suppose 12 = 4*g - g + 2*i, 2*g + 4*i - 8 = 0. Is m <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(80)*-1 + 3 - (2 + sqrt(5)*2 + (sqrt(5) - -4*(sqrt(5)*-1 + sqrt(5))))*-4))**2.\nAnswer: 240*sqrt(5) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - m**2 - 3*m - 6*m**2.\nAnswer: -3*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46403793?\nAnswer: 3, 283, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17872 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 the highest common divisor of 18176 and 11388672?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 22170*v**3 + 8076*v**3 + 14089*v**3.\nAnswer: -5*v**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z + 39*z + 1158 + 516 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29175 - 24767. Does 55 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 divided by 509?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(70)*-1 + (sqrt(70) - 6*(sqrt(70) + (sqrt(70) - (-2*sqrt(70) - sqrt(70))))))\/((-4*sqrt(180))\/sqrt(2)).\nAnswer: 11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129027843.\nAnswer: 3, 7, 37, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 3}. What is prob of picking 2 a and 1 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 4}. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let y be a(2). Let v(q) = -78*q + 7. Is v(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5343*y + 2 + 5295*y - 1.\nAnswer: -48*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 24126913*g - 3 + 24126913*g + 22*g**4 + 4*g**3 + (-2*g + 2 - 2)*(-3*g**2 - 2*g**3 + 3*g**2) + 1 + 3*g**4 - 1.\nAnswer: 29*g**4 + 4*g**3 + g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31, -3 in ascending order.\nAnswer: -31, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*z + 33 = 0, 3*z + z + 12 = -4*q. Let m(v) = 10*v - 1 + 3*v + 3. What is the tens digit of m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1006586.9293542761 + -9.5684257239. Let h = i - -1006617. Let j = h + -20.5. What is j rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.83798 and 1?\nAnswer: -40.83798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {v: 8, e: 1, n: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16183141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120767231?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -1495, -3358, -5957, -9286, -13339?\nAnswer: -18110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 2*v + 8. Let p be a(6). Suppose 0 = 31*h - 26*h - 10. Suppose -p = -2*g - h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 922584 + -144.51125\nAnswer: 922439.48875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -36*l**2 - 80*l**2 + 32*l**2 - 57*l**2 - 49*l**2. Let c(g) = -14*g - 3. Determine c(h(o)).\nAnswer: 2660*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 167, 335, 503?\n\"Answer: 168*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 7*w - 11. Let n be h(10). Suppose -n = -2*b + 93. What is the lowest common multiple of 1 and 98\/b - 1\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(396)*-2 + 3 + sqrt(396))*-6 - (-5 + sqrt(55)\/(sqrt(45) - sqrt(1620)))).\nAnswer: -541*sqrt(11)\/3 + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 10*y - 3. Let c be q(5). Let g = 110 - c. Let u = g - -12. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*v = -3130*v + 1581*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966 = -30*h + 666 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkjkqjjjkevjuqjqk.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/13, -4, 0.4, 8.1, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let w be 1\/(-1)*-1*b. Suppose w*f - 5 = 25. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19250659 is divided by 286.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7132 - -14171. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**6)**(4\/9) assuming g is positive.\nAnswer: g**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 4.85?\nAnswer: 4.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.73, 0 in decreasing order.\nAnswer: 0, -1, -1.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551491 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 670 + -345377.\nAnswer: -344707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2125 + -453. Let z be (-1881)\/k + 10\/8 + 0. Sort 2\/3, 0.4, z, 2 in descending order.\nAnswer: 2, 2\/3, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896169481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -21. Let c be (-4)\/16 - 42\/(-8). Let i(x) = -1 + x**3 - 4*x**2 - 5*x + c*x**2 + 5*x. Let r(f) = 5*f**3 + 6*f**2 - 6. Determine b*r(u) - 6*i(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.671 + -0.329. Which is the second biggest value? (a) 0.2 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2164938 is divided by 159?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-30) - (-4)\/(-6). Are o and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:28 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -53, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 8*t**2 + 4*t - 42. Calculate the remainder when 195 is divided by o(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let h(u) = u**2 + 12*u - 15. Let i be h(-13). Let m be -5 - i\/(10\/35). Let g(a) = 14*a**2 + 14*a**2 + a**m + a**2. Calculate p(g(n)).\nAnswer: -1800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/4017 - -172919\/377598. Let h = 1105 + -8781\/8. What is the common denominator of h and k?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 15*h + 16 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8786 + 8781.79. Let h = -53 - -58.3. Let l = a + h. Round l to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*j**3 + 425772*j**2 - 117237064*j wrt j.\nAnswer: -492*j + 851544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 94, 5, -107.\nAnswer: -107, -2, 2, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:53 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {r: 7, u: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118345.180241 - -118345. Round t to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.2000037 + 7.2. What is v rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Let d(g) = -g. Suppose 0 = 3*r + 4 + 11. Let s(w) = r*d(w) - i(w). Differentiate s(k) with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64534, 64349, 64164, 63979, 63794, 63609?\nAnswer: 63424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-102) - (-70)\/595\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15dbcba (base 15) to base 10\nAnswer: 15885625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15559 is divided by 2591.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 19852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 8 - 2*j - 5*j + 8*j wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:00 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3074531797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 4. Let b(y) = 13*y + 40. Let o(i) = 3*b(i) + 30*k(i). Let v(p) = -1 + 1 - p**2. Give o(v(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 130992493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2\/11 - 5656*h\/11 + 191148\/11 = 0.\nAnswer: 34, 5622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 2*p - 5 + 1. Suppose -5*x + 3*y + 124 = 163, 4*x + 36 = 4*y. Let b be l(x). Solve -b*o - 4*f - 1 = -5*o, -5*f = -o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 10*q + 9. Calculate n(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqwwwwwwwwwwwwwwwwq. Give prob of sequence qw.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4890?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 44*h**2 - 881*h - 40494. Give b(-42).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508488089.\nAnswer: 19, 26762531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178336 by 44584.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 181420 equal to 181436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 + -0.1. Let h = 5 - v. Sort 0, h, 5 in descending order.\nAnswer: 5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 350446 - 233?\nAnswer: 350213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046611717 to three dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-14)\/10*-5*(-49)\/(-147).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 54\/12)\/((-2)\/(-5492)). Let k = w - 34319\/25. Is 1 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 29*p - 330. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:29 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 0.1. Let t = 2.05 - 0.05. Put -2\/5, t, f in decreasing order.\nAnswer: t, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2161\/862 - 3\/431. Let z = -606 + 7283\/12. Let f = -2\/3 + z. What is the second smallest value in 0.4, l, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 29. Let s = 0.22 - -10.78. Let h = s - j. Which is the nearest to -0.1? (a) 0.4 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 5 - 5 + 0 + 4 + (-3 + 1 + 1)*(0 + 3 - 4))*(-22 + 22 + 17*b).\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 8*l**2 - 13*l + 14. Let j be t(6). Let c = -261 - -270. Solve -j*z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 58. Let t = d - 6. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 550523770 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -5 + -30 + -4. Put 1, 5, 4, p in decreasing order.\nAnswer: 5, 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/16 - 38\/(-4). Let f(a) = -4*a**2 - 3 - 2*a - 2*a**2 + 5*a**2 + c. Let j = 12 + -17. Determine f(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.013? (a) -2\/35 (b) -3 (c) -2\/3 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.037059 and 0.2?\nAnswer: 0.162941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16a8 (base 15) to base 13\nAnswer: -22b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2239710047 to the nearest integer?\nAnswer: 47326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*m + 18, -54*m + 52*m - 30 = -7*a + 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*w = -2*w + 7, -4*k - 2*w = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((9\/90)\/(12\/210)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/18*15)\/(84\/(-8))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 49*d - 240. Let t be l(5). What is the nearest to -2\/3 in -2\/7, 3\/7, t, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**4 + 982847*m**3 - 48300099258*m**2 + 67618605728*m - 19319489312 = 0.\nAnswer: 2\/5, 1, 98284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 207838366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fefkffuwuwfwxfeff. Give prob of picking 2 w.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 22 + 26. Let b = f + 2. Solve 2*r - b = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:43 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.225*-15566.\nAnswer: 3502.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1921963, 1921965, 1921967?\n\"Answer: 2*g + 1921961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 1, y: 1}. Give prob of picking 1 o and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105931196 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*a - 953*a - 40 = -14*i, 2*i - 5*a = 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 792?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1\/(h**(-2)*h)*(h**(-1\/2))**29 assuming h is positive.\nAnswer: h**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 18590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhgw. What is prob of picking 1 g and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7623)*-2)\/((1*sqrt(9))\/sqrt(3)))\/(((sqrt(224)*1 + sqrt(224))\/sqrt(4))\/sqrt(8) - (sqrt(1008) - 2*sqrt(1008))*-3).\nAnswer: 11*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -548, -1\/2?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 223*w**8\/336 + 19*w**4\/8 + 301*w**2. Find the second derivative of s(i) wrt i.\nAnswer: 4460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 1:43 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) - ((-152)\/(-30))\/4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 7*j**2 + 2*j - 1. Let q be c(2). Suppose 5*z + q = 85. Solve 0 = -m + i, -4*i + z = m + 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 15*b**2 + 29*b + 43. Let a be d(-13). Solve a*q - 5*n = 35, 3*q - 19 = n - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p**4 + 7\/15*p**5 + 0*p**3 - 19*p**2 + 0 + 0*p + 1\/120*p**6. Find the third derivative of g(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*w**2 + 38 - 38 + 8610*w**2.\nAnswer: 9035*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6771 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217 - -164. Let j = 50 + n. Let m(o) = -o - 4. Let v be m(-5). Which is the closest to 2? (a) -0.2 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*p**3 - 793941*p**2 + 793941*p**2.\nAnswer: 113*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610010.\nAnswer: 2, 3, 5, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-8 + 5 - -373)*(-14)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*t - 543*t = -325*t - 171*t - 20560 for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -298, -330, -388, -472, -582, -718?\n\"Answer: -13*v**2 + 7*v - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-3)\/(-12)*-7. Suppose -2*y - 6 = 5*k, -3*y - 68 + 59 = 4*k. Factor c*f**3 + k*f + 0*f**2 + 0.\nAnswer: f**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 4*h + 4. Let j be f(-4). Calculate the least common multiple of 3*1 + (2 - 0) and 18\/j - (-1)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/7 (b) 0 (c) -4\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 3*m + 6. Let h be v(5). Let a = -1 - 0. Sort a, -2, h in increasing order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 7:40 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*12\/(-84))\/((-2)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(4 - 99\/15) + 1. Which is the closest to 3\/2? (a) 2\/5 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1 - sqrt(2)) + 3 - (sqrt(162) + -1 - sqrt(162))) + -5 + -2*(4*sqrt(8)\/sqrt(4) + sqrt(4)\/sqrt(2) + -3).\nAnswer: -12*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 61850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8747013?\nAnswer: 3, 11, 401, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 9*z - 1192628 - 1222709. Is z 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 -853573*g**3 - 18530*g**2 - g + 5 wrt g?\nAnswer: -5121438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 8*f**5 + 22*f**4 - 12*f**3 - 82*f**2 - 80*f - 24 = 0?\nAnswer: -2, -1, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 9*c. Let f be d(-5). Suppose -r = 5*p - 11 - 9, -f*p - 5*r = -40. Solve 0 + 3 = -3*i - p*g, 17 = -5*i + g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 25 - 10. Let m = j + -13. Calculate the remainder when 64 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjtrtmttrtrrrtrrtyt. Give prob of sequence trry.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -233406 (base 7) in base 9?\nAnswer: -63610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Suppose v = 9 + o. Let w be (-2)\/(-1 + 9\/v). Solve w = -7*i + 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6050319 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-1)\/5 + 4\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1990656 is divided by 53801?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 102 - 31*x**2 + 16*x**2 + 12*x**2.\nAnswer: -3*x**2 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4*p - 35. Let y(t) = 2*t**3 - 3*t**2 - 7*t - 12. Let d be y(p). List the prime factors of (-2)\/((d\/788 - -3) + -2).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**2 + 95*l - 12. Let u be q(9). Suppose 10*o - 5*o + f - 15 = 0, 5*f = 2*o - u. What is the smallest common multiple of o and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.06 (c) -3 (d) -4 (e) -2\/191 (f) -7 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 21 + 94 + -14 + 8 + 9?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192994213.\nAnswer: 1787, 107999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 1185 = 10*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/206165 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 259090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26*(-29)\/(-58)*625\/(-325)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -714*h + 712*h + 4. Find the third derivative of -3*m**6 + m**6 + 36*m**h + 0*m**6 + 12355*m**3 - 12403*m**3 wrt m.\nAnswer: -240*m**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*v**3 - 100*v**2.\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 1169666.\nAnswer: 53\/1169666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258 and 16?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**(4\/3)*g*g**(-1\/2))\/(g**(2\/45)\/g**(2\/11)) assuming g is positive.\nAnswer: g**(2281\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 82\/9, 2\/3, 195, -10, -1\/2, 2 in decreasing order.\nAnswer: 195, 82\/9, 2, 2\/3, -1\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -436*d - 1259 - 49 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 115?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1631\/47 - -344033\/9964. Calculate the common denominator of 19\/212 and o.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -185697, -185747, -185795, -185841, -185885, -185927?\n\"Answer: f**2 - 53*f - 185645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5725*d**4 - 2*d**3 + 11*d**2 - 2*d + 21 wrt d.\nAnswer: -137400*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1403 and 33695?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 7*m**6\/15 + 3*m**5\/10 + 37*m**2 - 9*m + 12. What is the first derivative of c(q) wrt q?\nAnswer: 56*q**3 + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3141 and 140302.\nAnswer: 137161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 - 906 = -5*l. Suppose 24 = -2*f + l. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 9*q**2 - 16*q + 11. Let i be w(7). Let v = -5 + -4. Sort i, v, -4 in descending order.\nAnswer: i, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322 - -321. What is the units digit of (-3 - z)*(-10256)\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32577 + -30349. What is the smallest common multiple of m and 2?\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*f - 30*m - 25 = 120*f - 32*m, -f - 20 = -5*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r. Let c(y) = -y**3 - 5*y**2 + 2*y + 27. Let u be c(-4). Let v(q) = -6*q**2 + 2*q - 2. Calculate u*o(i) - v(i).\nAnswer: 3*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 2*q**2 + 12*q + 6. Let k be u(-2). Is k at least 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342\/(-76)*14\/(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 42.3091ug?\nAnswer: 0.0000000000423091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2)\/(12\/854978). Let x = v - 97489. Round x to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l**2. Let n be 4\/(0 - 4\/(-14)). Let q(d) = n*d**2 + 4*d - 4*d - 13*d**2. Give q(z(x)).\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 580*t - 6140. Calculate k(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.540847 kilograms in tonnes?\nAnswer: 0.005540847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1568) + (sqrt(1568) - (3 + sqrt(1568))) + 5)*2)**2 + 1.\nAnswer: 560*sqrt(2) + 6298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 591451320 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/374 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 5, -2.\nAnswer: -9, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 - (4 + 1 + -5). Let -10*i**2 + 1 + 39 + 6*i**r + 12*i = 0. Calculate i.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 45. Solve 7*p - 4*p = 3*w, -3*p + h = -5*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4 - 39938*m**3 - 397239133*m**2 + 30415361652*m - 59241447252 = 0.\nAnswer: -20007, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = -4*l, 2*t + 8 = -3*l - l. Let s be (t\/(-4))\/((-2)\/(-708)). Let d = 261 - s. Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/28 and 47\/105028?\nAnswer: 105028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*c = -210*c + 7*c + 74*c - 11460 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635, 463, 185, -199, -689, -1285?\nAnswer: -1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 463.4 - 463.7. Let q = 1.1 - -6.9. Let v = 4 - q. Sort v, m, 1\/42.\nAnswer: v, m, 1\/42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5334888 and 3744?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (-29)\/(-16) - 4. Is -1 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.27149 litres in millilitres?\nAnswer: 10271.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44\/5 of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12 + 2*l**2 - 11 - 3*l**2 + 18. Let a(c) = 69*c**2 + 47*c**2 - 24 - 122*c**2. Calculate -5*a(n) + 24*r(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 752 + 5*h + 3*h - 749 - h.\nAnswer: 14*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 13 + 32 + -10 + -33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 4. Let w be k(-3). What is the common denominator of ((-92)\/56)\/(-1) - 6\/(-2) and 2 + w + 230\/(-36)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 + 8 = -m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 4*w - 1. Suppose -3*c - 17 = d, 3*d + 37 = -3*c - 2*d. Let z be r(c). What is the smallest common multiple of 12 and 8*(3\/(-6))\/z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84291617 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2292*v**3 + 1156*v**3 + 1155*v**3.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(272)*-2*-6)**2 + (sqrt(17) - 1*(sqrt(17) + 1)) + 3)*4)*-3.\nAnswer: -470031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (2 + sqrt(425)))*-5 + -2*sqrt(425)*-1)**2 + -2 + ((0 + sqrt(425))*3)**2 + (sqrt(425) + -2 + 1 + sqrt(425))**2.\nAnswer: 180*sqrt(17) + 7324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 8*t + 9. Let j be y(-6). Let r be (-46)\/(-207) + 2\/(-9). Which is the closest to r? (a) j (b) 1\/8 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3 - 4*d + 3*d - d. Calculate o(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let g(b) = 5 + 2 + b + 4. Let s be g(-8). Is t less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2936*w**2 + 45*w + 8. Let z(t) = 1958*t**2 - 28*t - 5. Calculate -5*x(q) - 8*z(q).\nAnswer: -984*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13270, 26061, 38846, 51625, 64398, 77165, 89926?\nAnswer: 102681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times -88?\nAnswer: -15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3 - (1 - 24))*(4 + -3) and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6210 + 9680. Let t be ((-2)\/9 - o\/180)\/2. Which is smaller: -11 or t?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 593 + -394. Suppose -55 - 130 = 5*r + 5*p, 0 = 5*r - 2*p + i. Let f = r - -66. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3*b**2 - 4*b**2)*(1 + 0 - 2)*(-3 + 1 - 12).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20 - 3\/(-1))*5. Calculate the highest common divisor of m and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -7) + -24 - (-31 + 99)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l + 15. Does l = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 100.1. Sort 16\/5, 1\/9, -1\/3, o in decreasing order.\nAnswer: 16\/5, 1\/9, o, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.95 + 119.05. Let p = o + -44. Let k = -84.4 + p. What is k rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/6 + l**3 - 190*l**2 + 262. Let o(d) be the second derivative of m(d). Let t = -12 + 7. What is o(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d + 104*d - 42*d - 24*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24262*t**3*v**2 + 2598*t**3*v + 5*t*v - t + 25*v**2 wrt v?\nAnswer: -48524*t**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 35, -2 in ascending order.\nAnswer: -4, -2, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 1120.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/56 and 155\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112342300 (base 5) to base 9.\nAnswer: -860541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u**2. Let z(s) = -s. Let l(y) = 6*y. Let j(g) = 3*l(g) + 15*z(g). Determine j(n(o)).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, 1 o, and 1 x when four letters picked without replacement from vxoiooxxoooidvoix.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*-2*(-8)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8490402 by -4245201.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8005 - -27?\nAnswer: -7867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.48 + -0.48. Let s = 22.2 - k. What is the nearest to 0.2 in -0.1, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2006, -3267, -7142, -15083, -28542, -48971, -77822?\nAnswer: -116547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237699996?\nAnswer: 2, 3, 19808333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -3\/25 (c) 3 (d) 0.19056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1090 - 18?\nAnswer: -10a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 89*s**2 + 2*s + 13. What is the hundreds digit of g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012013312 + 1231?\nAnswer: -1012012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1088) + 2 + sqrt(1088) + 4*(sqrt(1088) - (sqrt(1088) + -2)))**2.\nAnswer: 192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.098 + -13.098. What is the closest to q in -2\/19, -2\/7, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 22*v - s, -3*s - 13 = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*r + 242*r - 587*r)*(29 + 7 - 9) + (2 - 4 + 0)*(-4*r + 2*r + 0*r) - 6*r + 4*r + r.\nAnswer: -11094*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31781, 30848, 29915, 28982, 28049?\n\"Answer: -933*k + 32714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18990533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-3 + 4 + 2 + (-5 - -2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*m + 56*m - 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 >= -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110101111100 - 11?\nAnswer: -11110101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(3\/10)\/b*b)**11)**(-2\/3))**46)**(-49) assuming b is positive.\nAnswer: b**(24794\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 309 = 3*u - 246, 12*u - 5*o = 15 - 39 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -469 (b) 14\/13 (c) 1.5 (d) -0.4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103 in 2\/11, -0.03, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691, -695, -701, -709?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 343, 16, -4, -9 in descending order.\nAnswer: 343, 16, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 57*x + 62. Let d(b) = 103*b + 92. What is 5*d(f) - 8*y(f)?\nAnswer: 59*f - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s + 6 = 0. Let f = -594 + 592. Put s, f, 4, 3 in descending order.\nAnswer: 4, 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -h + 5, 2*j + 2*h = 16. Suppose 0 = -2*g - 7 - j. Is g at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 24*o**2 - 13*o + 302. Let n be v(-25). Which is the closest to n? (a) 2\/7 (b) 0.5 (c) -1\/8 (d) 0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50*(-13)\/130*(-2)\/(-18)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2 - 889*r + 900020.\nAnswer: 4*r - 889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/72 and 153\/268840.\nAnswer: 2419560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -512, -1987, -4446, -7889, -12316, -17727?\n\"Answer: -492*j**2 + j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*k**3*q - 12*k**3 + 4*q + 30 wrt k?\nAnswer: 33*k**2*q - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -28 - -29 - (1 + -6). Suppose 570 = -y + 6*y. What are the prime factors of (y\/18)\/(2\/j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1\/5 (c) -2794\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*x + 320 = 314*x. Is -64 != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -490, -1\/3, 0.9, 2\/15 in ascending order.\nAnswer: -490, -1\/3, 2\/15, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 225\/700*(-6)\/5*40\/(-36)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 291 - 286. Suppose 12 = 3*z + 33. What is the second biggest value in 0.4, q, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 + 4*g**2 + 3*g - 4. Calculate b(3).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287 - -292. Sort q, 13, -2.\nAnswer: -2, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(9\/(-2)))\/(-5*(-16)\/(-12))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/95 + (-2 - (-146)\/10). Let j = -3 + 8. Suppose j*o = 34 - 9. Solve -o*b + 0 = 5*n + 20, x = -4*b - n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 345 = 75. Suppose -32 = -x*q + 37*q. Let v = -5.009 - -0.009. Which is the nearest to 1? (a) v (b) q (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275123 is divided by 380.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3239*t**2 + 2197 wrt t?\nAnswer: -6478*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 6*h - 4. Let v be p(7). Suppose n - 40 = v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47047480 to the nearest 100000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + 18*i**2 + 4*i + 9. Let r be v(6). Suppose -n = -r - 206. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(12)*-1))\/(sqrt(891)*1).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w. Let x(i) = -i - 4. Let y be x(-10). Let d(n) = -y*n**2 - 2*n**2 + n**2 + 4*n**2. What is d(a(h))?\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2875155?\nAnswer: 3, 5, 191677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/(-45) + 4\/(-30). Let o(w) = 3*w**2 + 5*w - 4*w**2 - 6*w + 0 + q. Let j(n) = 0*n**2 + n - 2 - 2*n**2 + 4*n**2. Calculate j(x) + o(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274.9945 + 0.2945. What is h rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - 0 - (2 + -8 + (13 - (48 + -36)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a61188 (base 11) to base 14.\nAnswer: -2172584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 3*k**5 + k**5 + (k**4 + 3*k**4 - 2*k**4)*(-15*k + 16*k - 13*k) - 4*k**5 + 3*k**5 + 0*k**5.\nAnswer: -22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3*-2*(-10)\/(-90).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 102.98. What is the biggest value in b, 3, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1155\/134356 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -91 (b) 4729 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**5\/5 + 53*i**3 + 67*i**2 - 2*i + 237. What is the second derivative of r(k) wrt k?\nAnswer: -12*k**2 + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17569965 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -579?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 - (10 - (3 - -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -h + 180 + 527, -1063 = -3*c - h. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46024 + -46023. Let s = 1 - 0.9. What is the biggest value in s, n, -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 609191.\nAnswer: -11574629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14\/(z*z*z**(1\/4)))\/((z*z**25)\/z**(2\/9)) assuming z is positive.\nAnswer: z**(-505\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 309361 divided by 5837?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/13, 5, 92, 4, -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -63. Suppose 0 = 5*j + 12 - g. Find the third derivative of j*u**2 - u**3 + 3*u**3 + 0*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32\/7 of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 118*g - 2145. Let z be k(18). Sort -1\/5, 0.5, z, -1, 4.\nAnswer: z, -1, -1\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46.8 (b) -1\/21 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/24 - (-24)\/9. Suppose -3*k - 4*s = -23, -3*k + 24 = k + 2*s. Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5365 divided by 217?\nAnswer: -5365\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 1757.\nAnswer: 66\/1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -4, 336, -5, 3 in decreasing order.\nAnswer: 336, 3, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a + 34. Calculate g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/((-30)\/360)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 597, 1189, 1781, 2373, 2965?\n\"Answer: 592*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l + 17*l - 6 - 6*l. Let f be w(5). Let v be 3 + -5 - 49\/(-7). Sort 0, v, f, -5.\nAnswer: -5, f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 11*i - 652. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -181\/3 in -36, -9, 0, 0.5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70.5 + 53. Let v = 36 + c. Let x = 27 - v. Round x to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**5\/150 - t**4\/5 - 7*t**2 + t - 1. Let v(u) be the first derivative of f(u). Factor v(r).\nAnswer: -2*r*(r + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 10 (c) 397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-138)\/15)\/((-88)\/220). Solve -v = -j + 6*j - y, -2*y - 19 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9*d - 4 = 2*k - 30, -15 = 5*k for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818529?\nAnswer: 3, 233, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 4:09 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 205 - 40 = 4*m, -5*g - 25 = 0. Let u be (m\/(-100))\/((-1)\/(-5)). Solve 4*q + u + 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 635 divided by -5\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 597 + -595. What is the third derivative of 7 + 30*n**2 + 34*n**s + 129*n**3 - 61*n**2 wrt n?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 4. Suppose -1 + i = x. Let g(h) = -2*h + 1 - x. Let k(l) = -3*l. Calculate k(g(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - c - 18, -3*y - y = 3*c - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 - 2626*o + 1712305 = 0. Calculate o.\nAnswer: 1205, 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5778 + 1556 = 19*l. List the prime factors of l.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -34 (b) 153\/7 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 24*d + 15. Let v be y(-12). Let r = -154 + v. Solve 4 = 4*a + 4*t, 0*a = -r*a + 5*t + 35 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0, 173, 33\/23, 1.\nAnswer: -5, 0, 1, 33\/23, 5, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.12? (a) 2 (b) -0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4613+-0.4\nAnswer: 0.0613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + c - 26 = 0, 4*i + 3*c = 2*i. Let m(j) = 2*j**2 - 8*j - 6. Determine m(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 + 163.04. Which is the closest to m? (a) 1 (b) -1\/3 (c) -1\/4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640 and 674.\nAnswer: 215680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1375)*-2 - (sqrt(1375) - -3*sqrt(1375)*-3))\/(1*((-5*(sqrt(605)*2 + sqrt(605) - sqrt(605)) - sqrt(605) - sqrt(605)) + sqrt(605))*-4))**2.\nAnswer: 625\/5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79747 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/(-10) - 3\/(-15). Let g be (55\/b)\/((-2)\/4). Suppose 3*f = -2*p + p + g, 2 = -2*p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8383541686 to the power of 1\/5, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 36*x + 275. Calculate m(20).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 195203 + 7*w - 195209 + 15*w - 5*w. Give g(10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58329157 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 10*r**2 - 12*r - 11. Let q be i(-11). Suppose -69 = -3*v - q*v. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 27 - 25*n + (1 - 4 + 5)*(4 - 4 + 2*n) + 2*n + 2*n - 3*n + n + 0*n - 3*n - 744 - 79*n + 744 in the form k + t*n and give t.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*4\/((-40)\/45). Let w(k) = k**2 + 8*k + 7. Is w(i) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 66 - 102. Let i be (-10)\/(-425)*(5 + 3)\/v. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13504 + 13606. Calculate the highest common divisor of 31722 and p.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 7*h**2 + 7*h + 1. Let l be j(-6). Let f be 0 + (15\/(-12))\/l. What is g in f - 5\/4*g + 3\/2*g**2 = 0?\nAnswer: 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 * 2561\nAnswer: -202.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 953 + -7639\/8. What is the common denominator of -73\/28 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106522629?\nAnswer: 3, 17, 2088679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-153)\/(-27) - 7)*-2472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -439 in 0.1, 0.4, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 64, 170, 330, 550, 836, 1194?\n\"Answer: f**3 + 18*f**2 - 3*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16*n - 6. Let z(l) = -l - 25484. What is d(z(r))?\nAnswer: -16*r - 407750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102049982 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62683037.69999997 - -62683038. Let a = -0.3 + o. Round a to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 1236\/198) + (-4)\/2. Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957 is divided by 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/10 of a minute?\nAnswer: 198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c. Let b(j) = 9*j + 4*j - 2*j - 2*j. Determine z(b(u)).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86737123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/253, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1045 - 1048. Sort 2, z, 387 in decreasing order.\nAnswer: 387, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*w**3 + 1066*w**3 - 528*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 700815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, 25, 73, 151, 265, 421, 625, 883?\n\"Answer: n**3 + 6*n**2 - n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2419590 and -12097947\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.595, -0.3, 0.1, 0.3, -222.\nAnswer: -222, -0.3, 0.1, 0.3, 0.595, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 59072.16*-0.2\nAnswer: -11814.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 8, -2*y - 4*s = -4*y + 10. Let t(h) = 4*h**2 + 5*h - 4. Let j(q) = -q**2 + q - 1. Suppose 0 = -n - 3 - 0. Let d(w) = n*j(w) + t(w). Give d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 3 + -3 - 6. Let o = -6 - k. Suppose o*t = 2*t - 106. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 5\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2400)\/(-175))\/(-32))\/(((-32)\/28)\/2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1930 and -47\/2895193.\nAnswer: 28951930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 0*g + g - 4 + 29 - 5 - 2*g**3 as m + h*g**3 + u*g + s*g**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 396394.1 milliseconds in microseconds?\nAnswer: 396394100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -361 + 968. What is the remainder when j is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.561395 decades in months?\nAnswer: 427.3674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -446736154 and 5?\nAnswer: 446736159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**7\/21 + l**5\/20 - 9*l**2. What is the third derivative of x(b) wrt b?\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t - 4. Let s be m(2). Differentiate -2*i**2 + 2*i**2 + 0*i**2 - s + 2*i**2 with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:46 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 10*s - 98 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g - 3. Let x(y) = y + 1. Let i(u) = s(u) + 4*x(u). Does 6 divide i(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 7. Let d be w(-7). Suppose d*c + 12 = 2*c. Suppose 14 = -s - 0*f - 4*f, 0 = 4*f + 20. Calculate the greatest common factor of c and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 173, 14, 4, 47 in increasing order.\nAnswer: 4, 14, 47, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 22 - 159 = -7*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/50*(-360)\/2376.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 9*f - 11. Let v be d(8). Let k = v - -6. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5953 - -21337. What are the prime factors of w?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12277721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 17*t**2 - 17*t + 1. Let l be y(14). Suppose -l*a = -368*a + 6358. Calculate the highest common divisor of 66 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.64 + -16.8. Round d to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1006 and 460245.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*c**4\/7 + 2676*c**3\/7 - 10464*c**2\/7 + 12780*c\/7 - 5022\/7 = 0. Calculate c.\nAnswer: -93, 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -15 - (-6 - -8 - -8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (73 + -67 + 34\/(-5))*(3 - 8). Solve -4*i - c*f - 10 = -5*i, -2*f - 26 = -4*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.229871 rounded to two decimal places?\nAnswer: -72.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 52. Which is the fourth biggest value? (a) 3\/7 (b) s (c) 5\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 9434.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + p + 22 = 0, 5*p + 31 = 4*r + 1. Suppose r*y - 6 - 29 = 0. Solve y*f + 4 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 13 - 13)*(0*n + 5*n - 3*n)*(n - n - n)*(-12 + 2 - 10)*(-2*n + 0*n + 3*n).\nAnswer: 40*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f**2 + 38*f**2 - 68*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = 2. Suppose d*y = 10 - 6. Which is the smallest value? (a) 1 (b) y (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3916350 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bksqqqbqrqqbrbw. What is prob of picking 1 q, 1 b, and 1 s?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13511 + 13698 = -17*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:42 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 - 2 + 4*g**2 - 2*g**2 + 4*g**2.\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570 a factor of 16100841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -168. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110000 - 100101?\nAnswer: 1010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1683, 132 in ascending order.\nAnswer: 2, 132, 1683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*c**3*t*x - 264*c**2*t*x + 3*c**2*t - c**2 - c*t + 2*c*x + 21*t - 3*x - 259 wrt c?\nAnswer: 126*c*t*x - 528*t*x + 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/11 (b) -8 (c) 0.2 (d) 331557 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*q**2*t**4 + 171*q**2 - 2*q*t**4 - 2*q with respect to t.\nAnswer: 152*q**2*t**3 - 8*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 0.77\nAnswer: 16.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -15*l**2. Let a(h) = -60*h - 17. Let q(i) = -79*i - 18. Let s(o) = 4*a(o) - 3*q(o). Give s(t(m)).\nAnswer: 45*m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -16. Let k(d) = 2*d + 32. Give -3*k(m) - 5*r(m).\nAnswer: -6*m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 79 (b) -5 (c) -27 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 64037 = 4*b, 0 = 1129*l - 1134*l + 5*b + 64055. Calculate the remainder when l is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18865 + 18865.00000022121. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 8) in base 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 117?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 - 70*z**2 - 30*z - 126. Let g be d(-23). Solve -g = -11*h + 42 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/19924245 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3 - 181916*c**2 + 3818624*c - 6909616 = 0.\nAnswer: 2, 19, 45458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c - 2?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (8 + 1 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15974*h**4 + 4*h**2 + 67?\nAnswer: -383376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-19)\/(-6))*-2. Let a be (8\/(-70))\/((-2)\/(-5)). What is the closest to 1 in a, q, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 1. Suppose -3*t - 2*t + 10 = 0. Suppose -t*q = -4, q + 5 = 4*o - 9. Suppose -o*v + 18 = -5*y + 3*y, 0 = 4*v - 8. Determine m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -14, 4, -34, -3, 2 in ascending order.\nAnswer: -34, -26, -14, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = 416. What is the highest common divisor of h and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*(-16800)\/2000.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1053) + 1)*-3 - (-2 + (sqrt(1053)*-1)**2 + -2).\nAnswer: -1048 - 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 4*d**2 + 4*d + 4. Let w be (-51)\/(-34) + 39\/(-6). Determine p(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, u: 1, j: 1, s: 2}. Give prob of sequence saa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128376*a**2*b**2 - 11*a**2*b - a*b - 2*b**2 - 435200*b wrt a?\nAnswer: 256752*b**2 - 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -1 - 16 - (2 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.7, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((27\/135)\/(3 + 90\/(-25)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/6)*s)**19\/(s**(-1\/18)\/s**(20\/7)) assuming s is positive.\nAnswer: s**(2378\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 45 = -5*l, 10*l = 5*l + 4*g + 45. Sort 1, l, -4 in decreasing order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/1 + 1 + (-56)\/8. Put 7, a, 1 in descending order.\nAnswer: 7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608*v - 607*v - 2*h = 3065, 0 = 5*v + 3*h - 15286. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29904 divided by -42?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n, -4*n + 2*n = 5*f - 170650. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 3. Let x be j(14). Let w = -21 + x. Solve w*a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*i - 190*i - 67*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 + 2 + 1917*l - 959*l - 953*l + 135*l**3 - 1 - 2. Suppose 0 = 2*z - 4. Is p(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59368\/186675 - 22\/9825. Let u be (5 - -1)\/((-4)\/(-2)). Suppose 0*v - k*v**2 + 8\/19 + 2\/19*v**u = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.882595 tonnes in micrograms?\nAnswer: 3882595000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -6*w - 39. Suppose 2*i - 890 = -w*i. Calculate the remainder when i is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o = -26*o - 23*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y - 2*y + 34. Solve -y*d - d = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 103 + 170. Let u(k) = 2*k**2 - 5*k - 2. Calculate the remainder when n is divided by u(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31032.06 decades in centuries?\nAnswer: 3103.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 4. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1 + 2*w + 2 - 5*w. Suppose -8 = 41*y + 33. Determine b(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Suppose -4*o = -3*o - 3. Suppose 0*k = -4*v - k + 11, -o*k - 3 = 0. Calculate the smallest common multiple of v and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 6. Let j be f(-6). Let k = -837 + 2123. Let v = k + -1277. Solve -v*h = -5*h + j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042 - 2817 = -201*w + 1039 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186897240 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*o**5 - 17*o**2 - 7*o**5 - 22*o**2 + 5*o**2 wrt o.\nAnswer: -900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5)\/(((-12)\/(-8))\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/56)\/(4 - (-52)\/(-12)). What is the closest to 1 in -0.3, -1, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1897, 3870, 5889, 7954, 10065, 12222, 14425?\n\"Answer: 23*v**2 + 1904*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-74)\/(-26) - (-4)\/26. Suppose 5*j = -6*h + h - 5, x*j + 5*h + 9 = 0. Find the first derivative of 0 - 2*g + j + 4 - 5 wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 - 55*t - 4. Let m be x(7). Let w be (-21)\/(-4)*(-8)\/(-3). Which is greater: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16815, -10234, -3653, 2928, 9509?\n\"Answer: 6581*h - 23396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggjuguegbuuzu. Give prob of sequence buu.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 18 = 2*p, 0 = 3*p - 3 - 0. Suppose 0 = 5*w + c + 4*c, 9 = 3*c. Sort w, -9, f in decreasing order.\nAnswer: w, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1943 + -1125. Let k = z - -2261. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 7. Let v(a) = -a - 1. Let n(w) = -2*v(w) + z(w). Determine n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(42\/(-182)*(-2)\/6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*8614686.\nAnswer: 86146.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107409 = 56*i + 5377. Let r = i + -727. What are the prime factors of r?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -0.5. Let f = p - -4.4. Let j = 0.22 + 0.08. Which is the biggest value? (a) -0.2 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -496, -532, -584, -652, -736, -836, -952?\n\"Answer: -8*m**2 - 12*m - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(3\/12)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 66*p. Let z(l) = 8*l + 14. Let k(i) = 15*i + 35. Let j(o) = -2*k(o) + 5*z(o). Calculate j(x(w)).\nAnswer: 660*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 + 12711456*d - 10098819602496 = 0. Calculate d.\nAnswer: 1588932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 12\/7. Let d be (-2)\/(-3) - 5\/(-30)*-4. Suppose 0 = j - w + 5, -j + 0*j + 5*w - 9 = d. What is the nearest to 0 in r, j, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 379*f**4\/4 - f**3\/3 + f**2 + 728*f - 307. Find the second derivative of g(w) wrt w.\nAnswer: 2274*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 78*t - 124. Solve -5*c = 3*n - 4*c + 7, 14 = -t*n - 3*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7295 * 1.3247.\nAnswer: 0.96636865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p - 202*p + 730222 = -355976. Is 99 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -25.4. Let m = w - 7.5. Which is smaller: -1\/16 or m?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54832.76 minutes to microseconds.\nAnswer: 3289965600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22152 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 11*j**2 - 9*j - 7. Give f(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 73. What is the tens digit of ((-17)\/17)\/(v\/(-38))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.1 (b) -0.1 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 1:50 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*d - 314 = -2*d, 4*b = 5*d + 654. What is the remainder when b is divided by 27*(2\/1 - 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 590505 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 16 (b) 6 (c) 1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 260. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -243*v**2. Let t(i) = -5669*i. Calculate t(d(z)).\nAnswer: 1377567*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283394.\nAnswer: 2, 141697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.4 - 0.39233.\nAnswer: -53.79233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 22*d + 38*d - 26*d)*(1 - 1 - 2).\nAnswer: -68*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t**5 + 140*t**4 - 604*t**3 + 964*t**2 - 636*t + 144 = 0. What is t?\nAnswer: 1\/2, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -38, -70, -114, -170, -238?\n\"Answer: -6*q**2 - 2*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 92509*m**2 - 185021*m + 92511.\nAnswer: (m - 1)**2*(m + 92511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/5 + 78\/55. What is the third smallest value in d, -4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15123)\/1390 - (-18)\/45. Let q = v - 114\/139. Find the common denominator of q and -21\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8*(-81158)\/66. Let t = -923 + j. Which is the biggest value? (a) t (b) 16 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11025285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from {e: 6, t: 2, f: 2, x: 4, i: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -54789*l**2 - 47*l. Let z(w) = 34*w. What is c(z(q))?\nAnswer: -63336084*q**2 - 1598*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*h - h + 33 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7636980 is divided by 1808?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14)\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7383604um in meters?\nAnswer: 0.0000007383604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13.2. What is the nearest to 2\/7 in 1, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. What is the second derivative of -q + 4 - 2*w**3 + 4*w wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 1457?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*m**3 - 216*g**3*m - 63*g**2 + g*m - 3*m**6 + 60198*m**3 + 4*m**2 wrt m?\nAnswer: -12*g**3 - 360*m**3 + 361188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -9 - -2 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 9\/(-3) + 2 + 3. Let x be (2 - 2)\/((s - -2)\/1). What is the fourth smallest value in -2\/7, x, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - 55 - (-1 + (2 - 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.261459?\nAnswer: -3.137508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 - 58*f**3 + 1680*f**2 - 16200*f.\nAnswer: 2*f*(f - 30)**2*(f - 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:03 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggpg when four letters picked without replacement from {p: 2, g: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 62*r**2 - 381*r + 224. Let o be m(-55). Sort o, -2\/3, -4, -2, -1.6 in decreasing order.\nAnswer: o, -2\/3, -1.6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 93. Let o be g(19). Solve 5 = -3*f - 2*q - 0, -o = -5*f + 3*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 6*l + 2. Let z be g(-6). Let d(s) = s**2 + 3*s + 1. Let p be d(-3). Calculate the highest common factor of p and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 23*u - 90. Let r be f(4). Suppose s - 39199994 = -r*n, n = s - 3*s + 78399997. Round s to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(-2*s + 3*s - 3*s) + 4 - 2*s - 4 + 32 - 32 + 7*s to p + y*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 16 + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 4*y**3\/3 - 3. Let o(x) = -1. Let t(m) = -m - 5. Let g(w) = 10*o(w) - 2*t(w). What is g(s(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djnjjurdnuddddh. Give prob of sequence udrj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/95, 0.2, 0.4, 171\/7, -3\/8?\nAnswer: -7\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5589 (b) 1\/4 (c) -1\/5 (d) 5 (e) -1\/2 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -146, -282, -406, -512, -594, -646?\n\"Answer: d**3 - 143*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 - 17*m**4\/2 - 361*m**3\/4 - 225*m**2 + 756*m - 432 = 0 for m.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2977*f + 1290273 - 1290273.\nAnswer: -2977*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -g + 1257 - 1280, 0 = -5*z + 5*g + 45. Solve 0 = n - z + 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/(7 - 5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 116564 minus 2630297?\nAnswer: -2513733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 18004*p**3 + 0 + p**4 + 17967*p**3 as b + z*p**4 + h*p**2 + r*p + v*p**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.82 >= 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39744 divided by -3312.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 10*q**2 + 12*q - 24. What is u(10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -4769.\nAnswer: -14307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j**2 + j + 1. Let r = 23 + -22. What is the tens digit of c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:30 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -253680 divided by 31710\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f + 111 = -105 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1033 and -1?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905986783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*f + 4 = -0, -2*s + 7*f - 85 = -41 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -228 and -0.29595?\nAnswer: 67.4766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b**2 - 161*b - 5515. What is the hundreds digit of n(-49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - (5 + -8)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139205 = -5*i + 21480. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1935811 at most -1935818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2358 is divided by 65.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276147799 a multiple of 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uchuhhdcduduucu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 2*u**2 - 1)*(476 + 504 - 167) to the form r*u + i*u**2 + p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*c + 28, 4*x + 5*c - c = 212. Suppose -3*b + 42 = -x. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrt when three letters picked without replacement from rrtrtrrrtrr?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*t = -1, -t - 4*t - 15 = 0. Let b(w) = -8*w**3 + 2*w + 4. Let p(s) = 18*s**3 + s**2 - 5*s - 9. Let n(x) = v*b(x) + 3*p(x). Calculate n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17035*t**2 + 17045*t + 10 = 0. What is t?\nAnswer: -1, -2\/3407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26060793 divided by -4\nAnswer: 26060793\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 16*w**2 + 13*w - 34. Let v be y(-15). Which is the nearest to -24? (a) -1\/6 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 3)*(2 - (-6)\/(-4)). Let y(p) = 14 + p**2 + c - 10*p - 10. What is y(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -80415 (b) 5\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 168*y - 501. Let r be o(3). Let a = -24 + 49\/2. Put -3, r, a in increasing order.\nAnswer: -3, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/7))**(-21)\/((u*u**(2\/15)*u)\/u*(u**(-2\/5)*u*u)\/u*u) assuming u is positive.\nAnswer: u**(-266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 265608?\nAnswer: 265608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/130)\/((-3)\/(-9)*-3). Are l and 0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*g + 122*g + 20. Let v(d) = 4*d**3 + 10*d**2 + 3*d + 6. What is v(g)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 8*s**3 + 16*s**2 - 32*s.\nAnswer: -4*s*(s - 2)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00371973 to six decimal places.\nAnswer: 0.00372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 158 = 4*i - 2*x, 4*x = i - 32. Suppose -5*t - 2090 = -43*t. Suppose -7*h + t = -1. What is the highest common divisor of h and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - i. Let z be r(-1). Suppose 3*g = -0 + z. Suppose 2*n - 4*n - d = -55, -4*n + d + 125 = 0. What is the smallest common multiple of g and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183.3233 - 183.2. What is p rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ee73 (base 16) to base 12\nAnswer: -19aa6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 84, 0.17, -5, 1, 2, 0?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 196*a + 1. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 253\/66*-5?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 2*l**3 + 4*l + 3*l + 2*l as z*l**2 + m + d*l**3 + n*l and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -1\/3*u**3 - 2*u - 3*u**2 + 0. What is the units digit of s(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43501097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-40)*t*t**35*t\/(t*t*t\/t**18)*t**(3\/23) assuming t is positive.\nAnswer: t**(302\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-666)\/(-74)*(-26)\/(-1053).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*c = 252*c + 200*c + 6693 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61535 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 16. Solve t = -n*t + 5*b, 4 = 3*t + b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**4 + 6*s**5 - 8*s**4 + (-s**4 - 4*s**4 + 6*s**4)*(0*s - s + 3*s) - 583*s**2 + 589*s**2 + 8*s**3 + s**5 - 4*s**3.\nAnswer: 9*s**5 + 4*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/4)\/(-7) - 1\/(-4). Let i be ((r + -2)\/8)\/(24\/(-192)). Solve -4*c + 2 = -i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -139 and -1098.\nAnswer: -1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 - 78. Let l = 123.173 - x. What is l rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5883.67 less than or equal to 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -3. Let u = 2 + -1. Let w(x) = 3*x + u - 3*x**3 - 6 + 2*x**3 - x**2 + 7. What is w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.367935 - 41284930.\nAnswer: -41284930.367935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116610)\/(-1667523)*(-22)\/(-10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/3 - 17126*h**3\/3 - 51446*h**2 + 360046*h\/3 - 188584\/3 = 0. What is h?\nAnswer: -11, 1, 8572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 2 k when four letters picked without replacement from {d: 1, o: 1, k: 7, c: 2, s: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.8126*-0.01561.\nAnswer: 0.153174686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-6 + -3 + 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 285 + 3*m**4 - 309 - m**4 - 3*m**4 + 2*m**4 + 0*m**4 + m**4 + m**2 - m**2 + (-3*m**3 + 4*m**3 + m**3)*(-2 + 2 + m).\nAnswer: 4*m**4 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 + 8*b - 14. What is the tens digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/34 + 127\/102. Let y be (-6)\/20*(-5)\/1. Which is the nearest to 0.1? (a) y (b) m (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3730.\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458537811*n**3 + 1053642774*n**2 wrt n?\nAnswer: 2751226866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05468642 or -0.2?\nAnswer: 0.05468642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 110. Let n(g) = 12*g - 32. Let q be n(y). Solve -q = o - 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -0.336 (c) 1 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v + 3. Let c be -4*27\/30*(-3 + -2). Let t(q) = -3 + 2 - 29*q + c. Determine -6*t(s) + 34*y(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 25*n**5 + 1135*n**4 - 2175*n**3 - 13675*n**2 + 9050*n + 5640 = 0.\nAnswer: -47, -3, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040465 (base 10) in base 7?\nAnswer: -23225610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -476 + 4877\/10. What is the common denominator of k and 58\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + 16. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029336 = 35*z + 20*z + 113*z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 12*j**2 - 11*j - 16. Determine m(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102)\/sqrt(6))**2 - sqrt(102)\/(sqrt(36)\/sqrt(6)))*-4.\nAnswer: -272 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.3. Let m = -5.43 - -5.5311. Let w = 0.0789 + m. Put g, -0.2, -2\/13, w in increasing order.\nAnswer: -0.2, -2\/13, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynyn when four letters picked without replacement from {y: 5, n: 11}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 less than or equal to 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r + 3 + r**3 - 30*r + r**2 + 9*r**3 + 36*r to the form n*r**3 + c*r + f + m*r**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a + a)*(-1 + 3 + 0 + (2 - 2 + 2)*(-4 - 2 + 4) + 0 - 26 - 8 - 3 + 5 - 3)*(0 + 5 - 1) in the form n + l*a and give l.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -1)*-1.\nAnswer: -3*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 81015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a + 82*a = -1. Let j(z) = 2*z - 3. Let l be j(3). Suppose -3*d + 11 = 2*m - 0, -d = l*m - 6. What is the remainder when m is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89050 divided by -130\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3 - 6. Let w = 2 - j. Let k be (w + -2)\/(3\/(-5)). Sort 4, k, -2 in ascending order.\nAnswer: -2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 3*o. Suppose -191 - 260 = -60*g + 449. Let m be (-5)\/(g\/o)*(3 - 6). Solve 0 = 4*l - 0*l + 4*y + 8, 2 = 4*l + m*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3231.713ml?\nAnswer: 3.231713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Suppose x*g + g = 100. Let i = 2 + g. Calculate the smallest common multiple of 10 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*o + 277851 = 128*o. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**6\/180 + d**5\/4 - 110*d**3\/3 - 14. Let h(o) be the third derivative of q(o). Determine z, given that h(z) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1))**4*((n\/((n*n*n**5)\/n)*n)\/n)**(-24\/5) assuming n is positive.\nAnswer: n**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1\/7 (c) 1 (d) -4.028 (e) 19.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -6 - ((0 - 1) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000286522734 less than 64?\nAnswer: 64.000286522734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2511 and -2.\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/9*(-3 - -6). Suppose 8*n = -2*i + v*n + 38, 3*i - 49 = -4*n. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -811397 and -0.04.\nAnswer: 32455.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 264598.7 nanograms?\nAnswer: 0.2645987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (108\/21)\/(10\/35). Let b = -16 + f. Suppose d + 2*z - 21 = -b*d, 2*d - 33 = 5*z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:01 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1700) - (-5 + 2 + sqrt(1700))) + 4 + -5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -200.168 + 200. Let v = a + 0.168. Sort v, -0.3, 6 in decreasing order.\nAnswer: 6, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -107*n**3\/3 + n**2 - 15*n - 32. What is the second derivative of l(i) wrt i?\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 4*u**2 + u + 1. Let v(h) = h**2 - 6*h - 10. Let c be v(7). Let x be q(c). Let p = -10 + x. What is the highest common factor of p and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdtdtrs. Give prob of sequence sr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1*sqrt(70)*-6)\/(-1*sqrt(175)))\/(sqrt(720)*-1*-4*-6))**2.\nAnswer: -1\/7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/21 + (-104)\/(-7). Let d = -9 + a. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 12. Let c(w) = 5*w**2. What is d(c(t))?\nAnswer: -10*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 19*p - 3. Let t(d) = -d**3 - d**2 - d + 8. Let s be t(0). Is h(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Suppose n*o + u = -5, 0 = 3*u + 18 - 3. Suppose 2*p = -o*p + 24. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/952624 and -23\/59539.\nAnswer: 952624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(-1))*y\/(y\/(y\/(y**(-22)\/y))))\/(y**3*y**(16\/7)\/y))**20 assuming y is positive.\nAnswer: y**(2760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:55 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.161 + -20.2331. What is z rounded to 2 decimal places?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 7 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 935699 - 196653.\nAnswer: 739046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-440)\/(-368)*102\/(-1122))\/10.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.362 and -0.0172734.\nAnswer: -0.3792734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 4 (b) -1 (c) 0.0567 (d) -0.03 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5217663 and 1419.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4608) + 2 - (sqrt(32) + 1)*-5)*-2.\nAnswer: -136*sqrt(2) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -79994?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 + 4*s. Let i(w) = w**2 - w. Suppose 0 = 4*k - 0*k - 4. Let q be 3 + -1 - k\/(-1). Calculate q*i(p) + g(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 2*-1 + 2. Let b(x) = -x**2 - x - 10. Let h(q) = 8 + 8 - 18 + 12. Let m(u) = t*h(u) + 5*b(u). Factor m(v).\nAnswer: -5*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2618061 - 2?\nAnswer: 2618058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/(-1980) - 2\/(-20) and -113\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52050 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/9 (b) -0.03 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124478770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1685.56, -0.5, 3 in increasing order.\nAnswer: -0.5, 3, 1685.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 4, 4*o - 4*c - 996 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6133987.\nAnswer: 6133987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:27 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - -7. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*669.\nAnswer: -240.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 2063*c - 40860.\nAnswer: -(c + 20)*(c + 2043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28183 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57.9973 - 58. What is k rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 - 1757*a**2 - 708*a**3 - 93*a**5 + 185*a**5 - 92*a**5 wrt a.\nAnswer: 120*a**3 - 4248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 3 - f**2 + 3*f**2 - 12*f**2. Let o(w) = -34*w**2 - 16. Let j(c) = -16*m(c) + 3*o(c). Let n(q) = 6*q. What is n(j(i))?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 658953*w**3 - 3863*w**2 + 49*w wrt w.\nAnswer: 3953718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8397928 divided by -27266\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**3 - c**2 + 1. Let f be u(-1). What is the remainder when 6\/f - 168\/(-9) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.179 times -2\nAnswer: -0.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -5.02. Let c = 57\/488 - -1\/122. Sort 10, c, a in descending order.\nAnswer: 10, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39878*w + 0*w**2 - 291 - 39762*w - 93 + 4*w**2.\nAnswer: 4*(w - 3)*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 84*u - 83*u + 69, -437*q - u = -435*q + 73 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*3789\/(-2526).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44.881491 + -57826.979491. Let h = l + 57840. Let j = 58 - h. What is j rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -16. Calculate the least common multiple of h and (((-30)\/(-100))\/((-12)\/(-10)))\/(3\/48).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 0.07 (b) -1486 (c) 55 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -2\/3 (b) 2\/13 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 377855412 divided by -34350492\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -36*i**2. Let l(v) be the third derivative of -11*v**4\/24 - 245*v**2. Determine l(m(n)).\nAnswer: 396*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-20 + (46 - 22))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20027, -39984, -59897, -79790, -99687, -119612, -139589?\nAnswer: -159642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29269 + 1\nAnswer: -29268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*n - 4*n - 11, 10 = 4*w - 2*n. Let j = -159.31 - 3.69. Let s = -163 - j. Which is the closest to s? (a) 1.2 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-187)\/68).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7627*m**2 - 31050*m + 493731161 wrt m.\nAnswer: 15254*m - 31050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 7064?\nAnswer: 7070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0555 + 0.1.\nAnswer: -0.9555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 39 = -3*g. Calculate the highest common factor of 225 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*x + 12, 0 = 8*o + x + 14 - 32 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5375 - 3*i - 2*i**3 - 5375 - i**4 + i**4 + 4*i**4 to y*i**4 + q + c*i**3 + a*i + f*i**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -555\/2188 + 2\/547. Which is smaller: t or 176?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1811*c - 164800. Calculate v(91).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7057, -6974, -6891, -6808?\n\"Answer: 83*x - 7140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10 + 8. Suppose -3*q = 5*y - 2*q - 4, a = 4*y - 5*q. Is 35 a factor of ((-700)\/5 - 0)*y*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -31796876008?\nAnswer: -31796876007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2075846?\nAnswer: 2, 941, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 2\/5, 1\/4, -3, -18029?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 11) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -4, 0, -1 in descending order.\nAnswer: 7, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3467*t**3\/6 - 10399*t**2\/6 + 3464*t\/3 + 2\/3 = 0.\nAnswer: -2\/3467, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - 0)\/2)\/2. Suppose 0 = -4*q - 13 - 3. Put y, q, 5 in ascending order.\nAnswer: q, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.982 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -4*f. Let l = -23 - f. Let g = 61 - l. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 6*t**2 + 2*t. Let b be v(-6). Suppose 0 = 4*l - 2*l + 44. Let g = b - l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjpbfsbxbpbbbfs. What is prob of picking 2 f and 2 p?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 194446238 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 21 = -4*v - c, 2*v = -5*c - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/10 + m**4\/12 - 5*m**3\/6 + 3*m**2 + 93*m. Suppose 3*o + o = 104. What is the lowest common multiple of o and p(2)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**2 - 31*k**2 + 6*k**3 + 2*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370 and 1276477430?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d + 17. Let x be c(-2). Let j be -3 + 16 + x + 8. Suppose 4*w = -2 + j. Sort w, -2, 5, 2 in descending order.\nAnswer: 5, w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -56*j - 1165. Let o be w(-21). Let t be 969\/6 - 1\/(-2). Suppose 113 = o*u - t. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2268 and 40478130.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooor when four letters picked without replacement from {u: 2, r: 2, o: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 101 - 139. Suppose 0 = -2*d + 3*z + w, 3*d - 2*z - 61 = 39. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 1 - 2)*(-s - s + 0*s) + 3*s - 4*s + 24*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7805*h + 7802. Determine k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.058 - -0.058. Which is the third smallest value? (a) 2\/5 (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 + 2*f**2 - 7*f**2)*(4 - 5 + 3 + 0 - 3 + 2 + (0 + 1 - 3)*(-1 + 0 + 0) + 1 + 3 - 2).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20)\/sqrt(4))**2*4 + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + 168\/(-765). Let n = -4\/85 + k. Suppose 2*x = 5*z + x + 20, -3*x = -2*z - 21. Sort z, n, -1\/3 in decreasing order.\nAnswer: -1\/3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -14)\/(((-202)\/2626)\/(4\/26))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24570 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: Determine t, given that -t**2 + 1478*t + 46779 = 0.\nAnswer: -31, 1509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4)*((6 - 3 - 2)*(2*n - 3*n + 3*n) + n + 0*n + 0*n)*(63 + 22 - 27) as t + b*n and give b.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let m(y) = 403879*y. What is m(l(p))?\nAnswer: 807758*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.087 + 20.913. Let l = 69 - h. Let m = 35.4 - l. What is m rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 167. Let p = 217\/12 - 1003\/12. Let v = p + i. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26460 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 20*k + 38. Let h(a) = -4*a - 5. Let w(x) = -11*h(x) - 2*z(x). What is w(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13476012 or -13476016?\nAnswer: -13476012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403185 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1426, 809, 192?\n\"Answer: -617*s + 2043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/34678 or -2?\nAnswer: 9\/34678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*p - 10 = 2006 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -59 (b) -3\/2 (c) 142 (d) -26 (e) -0.3 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*m - 1445 = -424*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9313807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 3*m**2 - 3*m - 7. Let w be l(-5). Suppose -5*s - 5*f + 5 = 0, s - 1 = 5*f - 6. Suppose -2*k + w = -i, s*k - k = i - 35. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let b = -6.05 - -6. Let y = b - 0.25. What is the closest to c in y, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13 - 7 = 0. Let i be o\/8*0\/(-2). Suppose 4*l - 22 + 6 = i. Solve -l*p - 5*y + 41 = 0, -y = -2*p - 0 + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 0.36.\nAnswer: 38.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4 + 15*u**4 - 7*u**4 - 64*u**3 + 384*u**2 - 1024*u + 1024 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4191 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 5.4.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2031*l - 1769*l - 380000 = 0 for l.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0 + 0*f**3 + 0*f**5 + 0*f**6 + 1\/24*f**4 - f**2 + 1\/7560*f**7 + 0*f. Let o(v) be the second derivative of c(v). Factor o(b).\nAnswer: b**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/1000)\/(1\/(-4)). Let u = 277\/1125 - h. What is the third biggest value in u, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -312 - -137. Let p be (-2425)\/(-14) + (-9)\/(-6). Let h = b + p. Is h less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/6 - 18018\/2457.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115266059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*u + 24 = -296*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = a. Suppose -d = -5*l - 24, -5*d + 0*l + 24 = -l. Let t be d\/(-6) - a\/9. Solve -2*i + 5*i = t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (8 - 4 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 2031241?\nAnswer: 2031242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) -3154 (c) 1\/48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8102760 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39586 + 39597. Solve -d*c + 3826 = 3881 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 31 + 2 = -3*t, -3*u = t - 5. What is the smallest common multiple of t and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + ((-15)\/(-5) - -1). Suppose 3*h = 10 - 1. Let f be -1*h*(-16)\/12. Solve p*z + f = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*y + 20*y**2 + 92*y - 2*y**5 + 86*y wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79 and 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**3)**(-2\/17)\/(q*q\/(q\/(((q\/(q**(-4\/9)\/q))\/q)\/q)*q)*q**(3\/11)*q))**(-23))**(-14) assuming q is positive.\nAnswer: q**(-1121848\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (9 - 11 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25\/3 - -529\/66. Find the common denominator of 6 - (-13)\/((-104)\/420) and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-9)\/3)\/((-8)\/40)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3 + 2*w**2 + 2*w + 4*w - 3*w**2. Let i be v(2). Let b(z) = -5*z**2 + i*z**2 - 2*z**2. Let j(a) = 3*a**2. Determine b(j(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)*(g*g*g**(-15))\/g*g**(1\/3)*g\/(g\/((g\/(((g*g\/(g\/(g\/(g*g**(-1)\/g*g))))\/g)\/g))\/g))*g)**(-47) assuming g is positive.\nAnswer: g**(22936\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 - 2126*n**2 - 2140*n + 12768 = 0.\nAnswer: -3, 2, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 909*n**2 + 37*n - 801*n**2 - 35*n - 2277 with respect to n.\nAnswer: 216*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - -2 - 0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2b779 (base 13) to base 12\nAnswer: -3b950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 338729977559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*o - 530*n**3 - 8*n**2*o + 88*n**2 - 2*n*o + 1756483*n - 2*o wrt n?\nAnswer: 6*n*o - 3180*n - 16*o + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c, 3*r - 4*c = -r + 396. Let k be 2\/3*r\/(-22). Let m be (-22)\/(-9) - (0 - -2). Put 3, m, k in descending order.\nAnswer: 3, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.7 (b) 2 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1 + 1*4. Suppose -12 = -k*v - 4*m, 4*m + 38 = 3*v - 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1649\/16901?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18400 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 321 + -3?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 (base 12) in base 3?\nAnswer: -1201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4975*j + 2*j**3 - 5*j**2 + 4977*j + 41 + 3*j**2 to n*j**3 + m*j + q + a*j**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 + 0*b**2 - 2*b**2)*(-5360*b**2 + 13446*b**2 - 20274*b**2) in the form x*b + d*b**3 + i + s*b**2 + k*b**4 and give k.\nAnswer: -12188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197390 is divided by 158?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -19. Let d = h - -61.3. Which is the closest to -2\/7? (a) d (b) 0 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3752419*y**3 - 34*y**2 - 3*y + 9800.\nAnswer: -22514514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**3 - 11\/30*d**6 + 0 + 0*d**4 - 2*d**2 + 0*d**5 + 11*d. What is the first derivative of k(s) wrt s?\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2722 + 6*w**2 - 5579 + 3123.\nAnswer: 6*w**2 - 5178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-6))\/((-2)\/213) and -125\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u)\/(u**(1\/4)*u)*(u*(u\/u**(-2))\/u*u*u)\/(u\/u**(-4)))\/(u\/((u\/u**5)\/u)*u\/u**(-1\/6))**30 assuming u is positive.\nAnswer: u**(-853\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (78 - 3) + -3. Let o = -69 + l. Which is bigger: 1\/18 or o?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4903, -5 in descending order.\nAnswer: -5, -10, -4903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -281829?\nAnswer: -281813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v = -38*v - 30. Let a be 58 - (v + 4)\/(-3). Is 4 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeeyyjey. Give prob of picking 1 j, 1 y, and 2 e.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-7)\/2)*2\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/2961 and 161\/1014.\nAnswer: 1000818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/(r*r**(-1\/5)))\/(((r*r**(-2))\/r)\/r)**29)**(-24) assuming r is positive.\nAnswer: r**(-9384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b**2 + b + 226. List the prime factors of y(0).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 388*w - 95. Is v(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**25\/u**(-2\/7) assuming u is positive.\nAnswer: u**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24)*2)\/(143\/(-66)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awkypako. What is prob of sequence op?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/11, -4, 0, -20\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let p be (-51)\/24 + 4\/2. Which is the smallest value? (a) j (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 18 (b) 61 (c) -2\/171 (d) -0.4 (e) 1\/30 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1190 + 1189. What is the second biggest value in 1\/12, -2, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -43. Find the third derivative of 4*z**5 + 748*z**6 - 763*z**6 - 4*z**5 - t - 5*z**2 wrt z.\nAnswer: -1800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 2830*u**2\/11 - 1110000*u\/11 - 1983681000\/11.\nAnswer: 2*(u - 805)*(u + 1110)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - 3*d**4 + 3*d**4)*(-2 + 0 + 1) - 3*d**4 + 0*d**4 + 2*d**4.\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1)\/(4\/(-6)). Suppose -3*a = -5*m + 51, -3*m + 2*m = -3*a - 3. Suppose m = c*r - 2*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j. Let i(q) = -4*q + 33. Give i(g(c)).\nAnswer: -40*c + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s - 6. Let i(l) = 8*l + 3. Let u(x) = 13*i(x) + 6*q(x). What is u(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-180)*(-3 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4351910, -8703806, -13055702, -17407598?\n\"Answer: -4351896*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5530060 - 113?\nAnswer: -5530173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.2. Suppose 7*m - 6 = 1. Which is the third smallest value? (a) 2\/9 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*j - 24 = -138*j. Let a(b) = -15*b - 11. What is a(j)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/2 + 482223*l\/2 - 241112 = 0. Calculate l.\nAnswer: -482224, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2796 - -0.0414. Let m = -0.235 + 0.011. Let j = m + h. What is j rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 5*s - l, -90 = -4*s + 4*l - 22. Let i = -1 + 4. Suppose -p - 2*a = -2, -9 = -3*p - 4*a + i. What is the remainder when s is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -0.4 (b) -1 (c) -0.7 (d) -5 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m - 28. Calculate l(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldfd when four letters picked without replacement from {h: 6, l: 1, q: 3, d: 2, f: 3}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.06030105 * 4\nAnswer: 4.2412042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-8) - ((-1807344)\/(-896))\/99\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3076?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8064 and 72041472?\nAnswer: 504290304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-0.1189\nAnswer: 0.017835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 8488*j + 18011536.\nAnswer: (j + 4244)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13752313 is divided by 1089.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3340378 is divided by 70?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and -0.5064094658?\nAnswer: 0.5364094658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14629141 is divided by 4876378.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 8*c**2 - 51*c - 14. Determine o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-160)\/1*4\/(-10). Suppose c - 3 = 3. Suppose -2*u + c = 5*w, 7*w - 3*w = -3*u + 16. Calculate the highest common factor of m and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 14*d + 11. Let b be (-1210)\/99 - (-4)\/18. Let s be c(b). Let q = 12 + s. Let y(w) = -w**3 + w - 2. Let o(g) = -g**3. Give q*y(m) + 3*o(m).\nAnswer: -2*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39897255 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1400 and 48040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 1447458?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 plus 164?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53391.62 decades?\nAnswer: 533916.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*x = 419*x + 364 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*o - 4*o - 19, 0 = -q + 5*o + 25. Suppose -q*j + 9 = -2*j. Solve -5*p = -3*y - 31, -2*y = -3*y - p + j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 8*s**2 + 6*s. Let m be r(-7). Let p = -6 + m. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41, 36, 43, 68, 117, 196, 311?\n\"Answer: n**3 - 12*n + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -344*s**2 + 8*s + 4. Let y(g) = -115*g**2 + 2*g + 1. Give 3*t(q) - 10*y(q).\nAnswer: 118*q**2 + 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/6 + 3*a**3\/2 - 1369*a**2. Let s(f) = f + 1. Give -2*s(j) + w(j).\nAnswer: 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336771.36ns to hours.\nAnswer: 0.0000000935476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.34528l to millilitres.\nAnswer: 25345.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76643365 - -76643979.00562. Let u = t - 614. What is u rounded to four decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*y - 3*s, -14*y - 16 = -10*y - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - 3*q**2 - 8*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {k: 1, y: 1, v: 1, m: 3, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 303 and 464903?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:44 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*n**3 + 14 - 29*n + 29*n wrt n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003729275 rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 1)) + -5 - sqrt(52)\/(sqrt(8)\/sqrt(2)) - (-4*1*sqrt(1300))**2.\nAnswer: -20806 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-12))\/(5\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156)*-2 + sqrt(44) + 3*(-1*sqrt(44) + sqrt(44)) + sqrt(44))\/(sqrt(16)\/(-2*sqrt(36))).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*(-2)\/(8\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1004*q**2 - 999*q**2 - 2*q**4 - 12 + 0)*(-14*q - 4*q - 3*q).\nAnswer: 42*q**5 - 105*q**3 + 252*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/20*q**5 - 1\/24*q**4 + 7\/6*q**3 + 0 + 0*q + 5*q**2. Is 29 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 0*w + 0*w**5 + 0*w**3 + 169\/2*w**2 + 5\/3*w**6 - 43 + 1\/2*w**4. Find the second derivative of k(i) wrt i.\nAnswer: 200*i**3 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190222208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*q**2 + 11*a**2*q - 2*a*q - 67858*q**3 + 2*q - 215 wrt q?\nAnswer: -4*a**2 - 407148*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -809880*h**3 + 1619763*h**3 - 809882*h**3 - 2*h**2 - 46*h + 4393 wrt h.\nAnswer: 3*h**2 - 4*h - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36265 - 0.1904829\nAnswer: 36264.8095171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 44520.8436?\nAnswer: 44520.3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -14*h + 4*s - 9, 2*h + 6 = 5*s. Which is the smallest value? (a) 1\/4 (b) h (c) -1595 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113078 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 - 7*o**3 - 9*o**3 - 289*o + 289*o - 3 + 2*o**2 as a*o + r + t*o**3 + j*o**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6538 - -6516.005. Let p = -2.04 - f. Let z = 20 - p. What is z rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 112453139+2\nAnswer: 112453141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/7 - 46*r**2\/7 + 89*r\/7 - 44\/7 = 0?\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 9 - 0. What is the common denominator of -93\/10 and (-2)\/c - (-3905)\/360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-4 - (2 - 4)). Let o be (-18)\/(-33) - 87\/99. Let m = -2 + 2. What is the closest to o in 0.1, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 159 + 96 = 66 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48099.\nAnswer: 3, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*l - 4 + 18, -2 = 3*p - 4*l. Suppose p*u = x + 27, -x + 28 = 3*u - 15. What is the remainder when 22 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6884, -27482, -61724, -109538, -170852, -245594, -333692?\nAnswer: -435074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (3 - (-11 + -6)) + -3 + (10 - -116)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 82 + 17 = -4*o, -o + y = -17. Suppose -2*b + 84 = 380. Let a = -50 - b. What is the highest common factor of a and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a + 8, 0 = -5*o + a + 37. Let u = o + -5. What is i in -1\/3*i**u + 0*i + 1\/3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(80\/(-28) + (-6 - -9)). Solve -2*o = 3 + d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893240120 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 273, 419, 565, 711?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -h - 11, -3*h - 3*p + p = -7. Suppose h*m - m = 12. Let q(i) = -2*i + 2. Let c be q(-4). Solve -3*l + 3 = 2*d + c, m*d = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 - 10*v**4 = 0. Calculate v.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50176 - 50063. Suppose -5*a - 2*g = -549, a + 3*g + 453 = 5*a. Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c + 16 - 61 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 5 + 3 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 + 100*z**2 - 621*z + 35. Let w(v) = -13*v**3 - 301*v**2 + 1864*v - 112. Let q(o) = -16*c(o) - 5*w(o). Factor q(k).\nAnswer: k*(k - 88)*(k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**5\/20 - h**4\/6 - h**3\/6 + 3*h**2\/2 + 3*h. What are the prime factors of y(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -767921 and -767932 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -13*a**2 + 65*a - 65. Let b(h) = 0*h + 24 - 25 + h. Let t(n) = 65*b(n) - w(n). Is 13 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17621386 and 17621387 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -3.43996.\nAnswer: -2.43996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsf when three letters picked without replacement from {s: 2, f: 6, p: 2, l: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 25 - (-121 - (-19 + -130))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/35 + 38\/10. Suppose 2*b + 5*m = -25, 2*b - 4*m + 67 - 87 = 0. Solve -5*x + 22 = -3*d, b*x - f*x + 19 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 7910363?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c + 11. Let b(l) = -7*l - 14. Let m(v) = -5*b(v) - 6*o(v). Let s(j) = -151*j + 161. Let g(p) = 2*m(p) + s(p). Differentiate g(k) with respect to k.\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.11 - 3. Let u = -0.07 + h. Let o = 0.0284 - u. What is o rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -36d?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-40) + 148\/(-70). What is the third biggest value in 4, -1\/4, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -40386115018.37?\nAnswer: 40386115017.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Suppose 0*a = 4*d - 4*a - 44, i*d - 4*a - 26 = 0. Solve -4*z + d*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*i = 352*i + 266 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2330\/53 - 279704\/6413. Calculate the common denominator of g and -41\/396.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5299, 43448, 147283, 349648, 683387, 1181344, 1876363?\nAnswer: 2801288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 4 - 5) + 0 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**4 + t**3 - t + 1. Let z(q) = 200*q**4 + 5*q**3 - 5*q - 194. Let h(w) = -5*f(w) + z(w). What is the derivative of h(k) wrt k?\nAnswer: 780*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/5 - 22839*y**2\/5 + 2975544*y\/5 - 97761708\/5 = 0.\nAnswer: 66, 7481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**3 - 342333*j**2 - 60840753*j - 60498423 = 0.\nAnswer: -113933, -177, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {w: 2, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 9 + 0*s - 3*s. Let q be g(-4). Solve 0 = 3*j + p - 7, 4*j = 3*p + 11 + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -1 + -70 + -40.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -115*s. Let h(i) = 15*i - 17*i + 0*i. Give g(h(l)).\nAnswer: 230*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -728\/3, -41\/86 in increasing order.\nAnswer: -728\/3, -1\/2, -41\/86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2368\/(-96) + -6)\/((-64)\/24).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 5, c: 4, d: 6}. What is prob of sequence ff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 43467920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016848931 take away 43679?\nAnswer: -43679.016848931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-35)\/5 + 28)*(-5)\/15. Let c(l) = 3*l - 1. Let b(r) = -5*r + 3. Calculate x*c(d) - 4*b(d).\nAnswer: -d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 183\/4 - 3\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4 - 2*c + 4. Suppose -66 + 56 = -5*y. Let r(x) = 754*x - 30*x**y - 376*x - 378*x. What is q(r(j))?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.29, 4, -2\/15, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1.1. Let m = -1306 - -699. Let j = m + 602. What is the closest to c in j, 2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 2*q - 6. Let d(m) = 3*m**2 + 3*m - 7. Let b(w) = 3*d(w) - 4*l(w). Let a(h) = -4*h**2 + 22*h + 17. Let c(s) = a(s) + 3*b(s). Factor c(y).\nAnswer: -(y - 26)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 take away -3973354?\nAnswer: 3975375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0. Let b = 46355 + -46452. Is b >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*q**3 + 60*q**3 - 27*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15124 divided by 3.\nAnswer: 15124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - l**3 + 2*l**3)*(-l**2 + 2*l - 2*l - 3 - 3*l**2 + 3 + (l - 1 + 1)*(-2*l + 2*l - 2*l)).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, 5, 223, 22 in descending order.\nAnswer: 223, 22, 5, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*a**3 - 283*a**3 + 254*a**3.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247000 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*r + 48 = -377*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 138*v**2 + 1080*v.\nAnswer: 2*v*(v + 9)*(v + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.44 - -6.24. What is the closest to 0.5 in 5, -0.01, r?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**3 - 223*y**2\/2 - 154*y. Let m be h(-38). Sort 4, m, 60 in ascending order.\nAnswer: 4, m, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*z**3 - 22849*z**2 - 22346*z + 545.\nAnswer: (z - 545)*(z + 1)*(42*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41238 divided by 325.\nAnswer: -41238\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2916 and 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7192.428 weeks to microseconds.\nAnswer: 4349980454400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 + 3. Let s = 90 + -154. Let f be ((-2)\/12)\/((-48)\/s). Which is the nearest to f? (a) -2 (b) j (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 2\/7, -4, 3342, 2\/83?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + -2 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21740712 (base 8) to base 7.\nAnswer: -54654253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19\/4 of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6169 and -0.19.\nAnswer: 1172.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*c + 52 = 0, -2*f - 3 = 3*c + 5. Let b(l) = -l**3 - 11*l**2 - 14*l + 3. What is the units digit of b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 140220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-3 + -5)) + (-8)\/((-168)\/(-161))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -341*i**6\/120 - 4*i**5\/5 + i**3\/6 + 756*i**2 + i. Find the third derivative of w(j) wrt j.\nAnswer: -2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.9772 + 0.0228. Sort 0.1, -1\/7, 3\/7, w.\nAnswer: -1\/7, 0.1, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -s + 5*s - r*d = 0, 0 = -3*d. Sort 3, -5, s in decreasing order.\nAnswer: 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/54 + 2\/27. Suppose -684 = o + 3*o. Let u = -858\/5 - o. Sort i, u, -4 in ascending order.\nAnswer: -4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 51. Let w = 256 - 261. Suppose 0 = -u + 4 - 0. Sort u, w, c in decreasing order.\nAnswer: u, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9113 + -9105. Which is the fourth smallest value? (a) o (b) 2\/19 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-20)*-2*(-6)\/(-54)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*k + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3\/3 + 12*g - 235. Let h(o) = -o + 6. Let y be h(6). Determine w(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8970)\/(-910) - (-8)\/7) + -41 + -6\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 2. Let s be y(1). Let v(t) = t**2 + 6. Give v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r + 5 = 0. Let o = 0 - -2. Let m be 0*(r - (o - 0)). Solve m*z = 4*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/517311 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015962291 rounded to 6 dps?\nAnswer: -0.015962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12586*b**2*s**3*x - b**2*s**2*x - 4*s**3*x - 1537*s**2*x with respect to b.\nAnswer: -25172*b*s**3*x - 2*b*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*z**3 - 116*z**3 - 108*z**3 + 348*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 6. Let r = -0.00379 - -3.00379. What is the closest to 1\/2 in -1\/4, j, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317030 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9314?\nAnswer: 2, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from plb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 4. Let k = 0 + 5. Let j(q) = 20 - 24 + 7 - 2*q. What is k*j(r) + 4*s(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.85. Let c = v - -0.3499968. Round c to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.415 to two dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 700109?\nAnswer: -140021.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*l**3 + 25*l**2 + 6*l = 0. Calculate l.\nAnswer: -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -8*w + 18. Let u be (-2)\/(0\/w - 2\/5). Solve -4*l + 5 = 3*g + 1, -5*l + u = 4*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(21\/(-9) - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 4 - 4)*((-1 + 2*v + 1)*(3*v + 0*v + 0*v) + v**2 + 3*v**2 - 2*v**2) as g + y*v**3 + q*v + o*v**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h + 7*h - 71 + 14*h + 71.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2879*r**2 + 3*r. Let v(l) be the third derivative of l**4\/12 + 6002*l**2. Calculate a(v(i)).\nAnswer: -11516*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 26*z**2 + 25*z**2 + 1 - 14*z**2 to s*z + y*z**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3634, -3752, -3962, -4264?\nAnswer: -4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 981724.6 millennia?\nAnswer: 981724600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 8. Let o be n(5). Suppose -135 = x - 6*x. Suppose -3*p + o*r = -x, 4*p - 3*r = 1 + 37. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 9*l**2 - 5*l + 16. Let i(m) = -2*m - 4. What is the lowest common multiple of t(8) and i(-9)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 7) to base 6\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 889, -344.\nAnswer: -344, -3, 889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 14)*(3 + -4). Let c(g) = 37*g - 179. Does 2 divide c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15330 + -15304. Solve 0 = -4*s - 14 - 6, 0 = 2*n + 4*s + z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18184827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 237\/14 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14984 is divided by 1457.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 97776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 6, 1\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (309\/(-1133))\/(12\/(-187))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let w(m) = -9*m + 29. Let c(k) = 1. Calculate 4*c(a) - w(a).\nAnswer: 9*a - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.3 and -151.141.\nAnswer: -801.0473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a - 4. Let m be (-2)\/(-12) - (-34)\/12. Suppose 0 = -3*i + 4*d + 29, -2*i = m*d + d + 14. Determine v(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3653\/2529)\/(5\/135).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuukuukuuuuuu. What is prob of sequence uuu?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -820.\nAnswer: -3\/820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 29*f + 17. Let v be t(-15). Suppose 0 = -2*d - v*d + 84. Let o(p) = 2*p**3 - 41*p**2 - 18*p - 23. Is o(d) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1141916, 2283845, 3425788, 4567745?\nAnswer: 5709716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 + 125.7. What is the smallest value in 4, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*w - 3 + 3 - 2*w in the form k + l*w and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35456, 35481, 35518, 35573, 35652?\n\"Answer: w**3 + 18*w + 35437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -20) + -6 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 634*q**2*w**3 + 2*q*w**2 + 355*w**3 wrt q?\nAnswer: 1268*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 4, 5, -2\/179?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:49 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 3. Let z(m) = 40*m - 17. Determine -5*p(k) + z(k).\nAnswer: 35*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/8 or 110\/91?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 11259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7401 (base 14) to base 2.\nAnswer: 100111000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 = -4*r, 0 = 4*b + 4*r + 30 - 6. Which is smaller: b or -9\/122?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2)*d)\/((d**(-3)\/d)\/d))\/((d**0\/d)\/d**(-1\/4))*((d\/(d\/(d*d**1*d)))\/d**(-1\/5))**14 assuming d is positive.\nAnswer: d**(1041\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 57. Solve 5*r + 21 = -4*d, -3*d + 6*d - 18 = t*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-11)*3\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1731 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*r = 110, 2*f + 3*r = 45 + 81. Solve 18*t - 8*t = -f for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/17, -0.9, 2073 in decreasing order.\nAnswer: 2073, 15\/17, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 4788?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3041, -6097, -9157, -12221?\nAnswer: -15289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 4*x + 3*x in the form t*x + r and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45432 is divided by 94.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-19)\/d)*d**7\/d)\/(d*(d**(1\/9)*d)\/d*d*(d\/(d*d**(-19\/5)*d*d)*d)\/d) assuming d is positive.\nAnswer: d**(1039\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) -16 (b) 10 (c) 2 (d) -0.21 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000147018502 to 7 decimal places.\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u + u - 28*u + 4*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -153, -234, -319, -408, -501?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 4*n**3 + n**3 + (n - n + 2*n)*(3*n**2 + 55*n - 55*n)*(-9 + 10 + 1) to the form y*n + j + v*n**2 + w*n**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57667017?\nAnswer: 3, 127, 151357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from jjzjzjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 2006626467.\nAnswer: 2006626509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0186 and -0.281?\nAnswer: 0.0052266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 346260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 - 6*o - 5. Let w be s(4). What is the smallest value in w, -4, 3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**6\/15 - 3505*u**4\/12 - 4613*u**3\/3 - 1772*u. What is the second derivative of z(r) wrt r?\nAnswer: 24*r**2 - 7010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -122. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {x: 3, s: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526243.\nAnswer: 7, 137, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 192, 281, 448, 717, 1112, 1657, 2376?\n\"Answer: 4*u**3 + 3*u**2 - 2*u + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**3 - 209*f**2 + 859 wrt f?\nAnswer: 3*f**2 - 418*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.37, 1\/6, 3, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/((-2)\/(-10)). Suppose g*w = 5*p - 10, 2*p - 3*w = p + 15. Suppose p = -v + 2 + 2. Solve 3*q + v*a = 2*q + 18, 3*q + 2*a - 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1666385068.\nAnswer: 2, 61, 6829447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14940)\/750 - -69 - 49.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -486*p**2 + 146?\nAnswer: -972*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(-2\/23)*c)\/c)**(-4\/23)*(c**(-10))**(-40))**(-4\/7) assuming c is positive.\nAnswer: c**(-845632\/3703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)\/(s\/s**(-3))*(s*s*s\/(s*s**(-2\/17)*s))\/((s**(-3)*s)\/s) assuming s is positive.\nAnswer: s**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -18. Which is the third smallest value? (a) n (b) 0.06 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.013 + -0.01299973. Round p to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6)*-5)\/(175\/105).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1733305*g - 4689482.\nAnswer: 1733305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 15*l + 14.\nAnswer: (l - 14)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11735659?\nAnswer: 13, 277, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.3. Let u(i) = 2*i**2 + i + 31. Let a be u(0). Let m = -32 + a. What is the closest to z in -0.2, -2\/7, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (82 - -8)) + 27.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n. Let t = -55 + 64. Let x(b) = -b - t*b + 8*b. What is x(r(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6537, -14534, -27863, -46524, -70517?\nAnswer: -99842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.9 - -16. Suppose 2*x - 6 = 2*j, 2 = -5*x - 4*j - 1. Let w be 2\/8 - x\/(-2). Is v smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386962.28 rounded to the nearest 1000?\nAnswer: -387000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0494 - 2\nAnswer: -2.0494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227 a factor of 880386548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 49*c = -g + 45, 2*g - 54 = -5*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7599.273 centuries in millennia?\nAnswer: 759.9273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/((-35)\/630).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-625)\/(-500) + (-3)\/(-4). Solve 5 = -4*c - 3*p, w*c = 5*p - 30 - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876654 + 292213 + 292207 - 3*g + 292234.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j**2 + 33*j + 94. Let f be z(15). Suppose f = 4*l - 1002. List the prime factors of l.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -16*w**4\/7 + 222*w**3\/7 - 356*w**2\/7 - 48*w\/7 = 0.\nAnswer: -1\/8, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -16*y + 60. Let l be ((-2)\/3)\/1 - (-32)\/y. Factor -1\/2*x - 3 + 1\/2*x**l.\nAnswer: (x - 3)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2*sqrt(35)*3 - sqrt(35))*-1)\/(((1*sqrt(1008) + sqrt(1008) - sqrt(1008)) + sqrt(1008))*3 + sqrt(1008)*1*-4 + sqrt(1008)))**2.\nAnswer: 125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75255.01km to centimeters.\nAnswer: 7525501000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 61*u**2. Let b(p) = p. Determine b(s(m)).\nAnswer: 61*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1480 or 1518?\nAnswer: 1518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 258e6 (base 16) to base 12\nAnswer: 75032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 139*r**2 + 9 + r - 4 - 141*r**2. Let k(n) be the second derivative of 0 + 1\/6*n**3 - 1\/12*n**4 - 2*n + 3\/2*n**2. Calculate 5*k(a) - 3*y(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-1))**(2\/25)*o*o*o**5*o\/((o**(-2\/9)*o)\/o)*o assuming o is positive.\nAnswer: o**(2129\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/14045716 and -19\/4.\nAnswer: 14045716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:48 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 112363530 to the nearest ten thousand.\nAnswer: 112360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 10 = -6*b, 3*m - 2*b = 212821. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, c: 1, w: 4}. What is prob of sequence cx?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 7. Let c(z) = z**2 + 9*z + 12. Let b be c(s). Let o = 8 + -5. Solve o*y + b = -4*p, -5*y + 5*p = 24 - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 5*g**2 - 6*g + 5. Calculate the remainder when 50 is divided by l(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**7\/420 - a**4\/12 - a**3 - 1. Let q(i) be the third derivative of o(i). Find the first derivative of q(d) wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 + 172. Let b be (-195)\/(-21) + (-2)\/7. Suppose -11*m + b*m + 42 = q. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 32*y - 23. Give i(-31).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**3 - 36*u**3 + 3*u + 28*u**3.\nAnswer: 15*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 18 = -6. Let t(c) = -62*c - 8. Is 33 a factor of t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5)\/h)\/h)**(1\/6)*h\/h**(2\/3)*h*(h**(2\/23)\/h*h)\/h assuming h is positive.\nAnswer: h**(7\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -3336151.\nAnswer: -3336151.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 2 + 1 + -10. What is the second smallest value in 2, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25071000 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19612 is divided by 19599.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8215405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3*j**3 + 10*j + 11. Differentiate r(l) with respect to l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/6)\/(1\/(-26)). Suppose 2*n - c - 38 = -3*c, -p = -2*n - 3*c. Let v be ((-1068)\/48 + 2)\/((-3)\/24). Calculate the greatest common factor of n and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5974302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125))*-5*-4)**2 - -2*(sqrt(35)\/(sqrt(7) + sqrt(14)\/sqrt(2)) + (2*sqrt(60))\/sqrt(12)).\nAnswer: -3995*sqrt(5) + 50400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*f - 31 = 0, f = -4 + 9. Is 8 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10299 and 49488.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383\/51 - 2647\/357. Which is the nearest to -36? (a) 0.3 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7711 - -7716. Let m = -2 + 4. Let t = -2 - 0. What is the nearest to t in m, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 4*m, 20*m = -4*j + 19*m + 8. What is the greatest common factor of j and 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103433 - -2?\nAnswer: 103435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003664 rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*i = -5023 + 6712 + 8391 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.876276ug?\nAnswer: 0.000000876276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541685 is divided by 1417.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 45*y**2 - 3*y + 2. Let m be b(1). Suppose -10 = -a - 4*q, -3*a - 2*q + m = -4*q. Let x = 20 - a. Solve 0 = n - x*n + 3*g + 14, 2*g = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -1\/3 (c) -14 (d) 6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -444 at most as big as -14678\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 0*a + a**3 + 1 - 2*a**3. Let p be g(1). Let s be (-14)\/p*(6 - 4). Solve 0 = -3*m + 4*v - s, m = 6*m - 4*v + 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 7*h + 17*h - h**3 - 2 - 12*h to x*h**2 + i*h**3 + p*h**4 + j + w*h and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-30) - 32\/140. Let l = -2.27 - -0.29. Let w = l + -0.02. What is the third biggest value in 1, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -cb1f6a?\nAnswer: cb1f6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*p - 11*p + 7 + 56 - 12*p wrt p?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Suppose -4 = w*z - 13. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7749 = 1543*g - 1174*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 p when four letters picked without replacement from pepwjjeepjpejjwewwpj.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110021020002011 (base 3) to base 13.\nAnswer: -14735c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3\/7 - 208*d**2\/7 + 2195*d\/7 - 788 = 0.\nAnswer: 4, 7, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 - -78. Suppose -k - 7*o + 94 = -j*o, -4*o + 4 = 0. What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19400 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:44 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 0.0539\nAnswer: 22.0539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6*w + 6194*c**5*w + c**2*w + 454*c**2 - 709*w wrt c?\nAnswer: 240*c**3*w + 371640*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88535 + 22?\nAnswer: 88557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/4 + 11*i**4\/4 + 109*i**3\/4 - 1943*i**2\/4 + 2073*i - 2457 = 0. What is i?\nAnswer: -13, 2, 6, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 14) + (4 - 8 - -18) + -8 + -36?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from bapjbtt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y + 11. Suppose q - 30 = -4*q. Let m(p) = 7*p - 6. Let f(r) = q*n(r) + 11*m(r). Let h(j) = 0 + 0 + 2*j**2 - j**2. Calculate f(h(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -30*d**3 + 3*d**2 - 8*d + 6. Let k(u) = -10*u**3 + u**2 - 3*u + 2. Give -3*f(v) + 8*k(v).\nAnswer: 10*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 223\/492660 and 123\/476.\nAnswer: 492660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - s)*(5 - 4 + 1)*(-3*s**2 - 3 + 3)*(-3*s - s**2 + 3*s).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25624 + -3843765.\nAnswer: -3843764.74376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 18. Suppose -99 = -7*i + 4*i + 3*a, 15 = -5*a. Let h = q - i. Solve 0 = -3*y - 1 + h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.39916 millilitres to litres.\nAnswer: 0.01739916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((150\/4)\/25)\/(78\/(-8))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 213*w**5\/10 - 29*w**3\/3 - w**2 - w - 14. Find the second derivative of y(m) wrt m.\nAnswer: 2556*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4674 and 0.57.\nAnswer: 0.266418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -v - 15, 2*v = -0*v - 2*b - 14. Suppose -5*j + 0*u = 3*u + 5, -j = 4*u - 16. Sort 1, v, j.\nAnswer: j, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*c = 4*c - 302, 20 = 4*c. Let w(m) = -77*m + x*m - 3*m**2 + 3 + 1. Let b(l) = -l**2 - l + 1. What is -4*b(j) + w(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/1579 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1930554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4091 - -5695. Round s to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/(-16))*485*(-56)\/(-10864).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -2654200.\nAnswer: -2654200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 288 - 2. Suppose -f - 4*v - 44 = -3*f, v = -5*f + x. What is the remainder when 335 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 690226*v\/3 - 2760920\/3.\nAnswer: (v - 4)*(v + 690230)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a + 2 - 15 = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 + -1 + 4. Suppose -g*a = -6*a. Solve c + x + 8 - 1 = 0, -3*c + 2*x + 4 = a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*k**2\/7 + 220*k\/7 + 87\/7 = 0. What is k?\nAnswer: -87\/307, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*h - 2, -3 = -14*h + 11*h. Let r(n) = -2*n**2 + n. Let l be r(1). Sort -0.68, l, s, 0.1 in decreasing order.\nAnswer: 0.1, -0.68, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**3 - 4*y**2 - 3*y + 10. Let b(l) = -15*l**3 + 8*l**2 + 7*l - 21. Let p(h) = -6*b(h) - 13*r(h). Let a be p(3). Is 8 + 2 + 2 + a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4\/37 (b) 44 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2259857?\nAnswer: 241, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -2, -24 in increasing order.\nAnswer: -24, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431025 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 127, 1172, 1 in increasing order.\nAnswer: -5, 1, 5, 127, 1172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 + -5 + 4 - (2 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x - 24*x + 55*x - 10383073.\nAnswer: 2*x - 10383073","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 1. Suppose -4*g + 14 = -5*m, -5*g - 6 = 4*m - 44. Let t = 8 + -4. Suppose t*z + g = 3*v, -3 = 3*z + 4*v + 14. Give c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980.553 years in centuries?\nAnswer: 9.80553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 4.4. Let f = -0.06 + -0.14. Which is the closest to f? (a) -2\/3 (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1509 and 40969350.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 88888860.1 to the nearest ten thousand.\nAnswer: 88890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(140\/84)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 + 6*r - 3. Let g be j(-5). Let q(t) = 12 + 2 - 14*t + 16. What is the units digit of q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(175\/(-10))*-5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1248009758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3564, 13746, 30706, 54438, 84936?\nAnswer: 122194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 42343141?\nAnswer: -42343212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4 - 1. Let w = x - -7. Solve -3*p + 0*p - 2*k + 10 = 0, -3*p - k = -w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -26. Let w be (-27)\/p - ((-38)\/(-60) - -1). Which is the smallest value? (a) w (b) -1\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**3 - 8*j**2 + 295*j + 15546 wrt j?\nAnswer: 3*j**2 - 16*j + 295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2 - (-14)\/8). Suppose -4*d - 4*c + 8 = 0, -d + 0*c + 22 = -l*c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (12 + 7 + -14)) + -5 - 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 54*l = -25*l + 5*x - 6, 0 = -15*l + 3*x + 114 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 710, 716, 732, 764, 818, 900, 1016, 1172?\n\"Answer: w**3 - w**2 + 2*w + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11346 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -5 (c) -1.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 485 and 487705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:51 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 6. Suppose 4*s + 2*f = 6*f + 44, -4*s + 4 = 4*f. Is 11 a factor of 4\/s + 92\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwyylylllllnlw. What is prob of sequence wyl?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/492 and (-190)\/76 + 469\/164.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 4 + (7 - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3029 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-2)*10302\/10. Let b = y + -51403\/10. What is the common denominator of -69\/128 and b?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 10*o - 15. Suppose u + 51 = -8*j, 30 = -5*u + 3*j + 2*j. What is q(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 5*h + 3 = 6*n - h, n + 8*h = -8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290301850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 4)*(5*z + 7*z - 10*z) to the form m*z + k and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 24494*j + 416329. Determine g(-17).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4, -2938*d + 4*s + 16 = -2931*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/14)\/(((-372286)\/9044)\/97 - 36\/(-102)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16*z + 4. Let v be (-4)\/15*-213 - (-2)\/10. Let u = v - 48. What are the prime factors of d(u)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -887*p + p**3 + 4268*p**2 + 1 - 4268*p**2 to the form t*p + v + i*p**2 + n*p**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-9)*54\/(-1080).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/816 and -43\/8.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*-1*76\/627?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368185?\nAnswer: 5, 73637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -4)\/(4\/(-6)). Sort -6, i, -3 in decreasing order.\nAnswer: i, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 16*o - 310 = 0. Let c = -55 + o. Solve -n + 5*w + c = -2, -5 = -2*n - 3*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 - 1) - (-45 - -29)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*u + 24, 3*y - 17 = -0*y + 2*u. Let x be -1 + 3 + (-18)\/y. Let n = x + 27\/20. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76)\/sqrt(4) + sqrt(19) + -2 + -1 + sqrt(19).\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 60?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -6 + (15 - -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.4 + -54.6. Sort -1\/23, i, 0.5, -5, -3.\nAnswer: -5, -3, i, -1\/23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104, -27, 152, 433, 816, 1301, 1888?\n\"Answer: 51*d**2 - 76*d - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/15 - (-6)\/(-15). Let g be (w - -3)*(-26)\/(-4). Let l = 15 - g. Let c(o) = 3*o. Calculate c(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*v**4 + 16*v**3 - 727*v**2 wrt v?\nAnswer: 528*v + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5536 divided by -480.\nAnswer: -173\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1677*p + 231651 = -2000*p for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 84575*b**2 + 128279635*b + 2189454480215.\nAnswer: 5*(b - 10459)**2*(b + 4003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9044 and 4256.\nAnswer: 72352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -15*r**2\/2 + 228. Let d(n) = 21*n**2. Give d(f(g)).\nAnswer: 4725*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23230 - 0?\nAnswer: -23230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12*l**4 - 20*l**3 - 12*l**2 + 8*l + 86. Let p(n) = n**4 + n**3 - 7. Let q(c) = 20*p(c) + 2*r(c). Find a such that q(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127\/3284 + 126443\/42692. Factor 16\/13*u**2 + 20\/13 - o*u + 2\/13*u**3.\nAnswer: 2*(u - 1)**2*(u + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 24. Let c be t(5). Let m be c\/5 - (-768)\/240. Solve m*g + 1 = 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.054104648 and -252.\nAnswer: -252.054104648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2883188 and 1480?\nAnswer: 28831880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 28*z**2 - 21*z + 138. Let q be o(7). What is the highest common factor of q and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**3\/8 - 111*w**2\/8 - 225*w\/8 - 221. Factor o(r).\nAnswer: 3*(r - 75)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {t: 1, a: 1, o: 1, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/9*k**2 + 2\/9*k**3 + 0 + 0*k = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -151, -267, -401, -559, -747, -971, -1237?\n\"Answer: -m**3 - 97*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687421.7 kilograms in nanograms?\nAnswer: 687421700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03452 - -0.04548. What is the fourth biggest value in 0.7, q, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.089355 and 2755.\nAnswer: 2754.910645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12023247 is divided by 700.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*h)*(-2*h + 2*h - h)*(0 - 3 + 0).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.007 + 4.007. Let d = 1262 - 2525\/2. Which is the closest to d? (a) 0 (b) -26 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3702*v**2 - 45*v - 49. What is j(-1)?\nAnswer: 3698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4289.\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15847?\nAnswer: 13, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 4*w + 2, -w + 0 = r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3001*n. Let v(u) = u**2 + 2*u - 5691. Give z(v(s)).\nAnswer: 3001*s**2 + 6002*s - 17078691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417240062 a multiple of 1866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 432146882.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rll when three letters picked without replacement from rrrrrrrlrrll.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 7*y**2 + y - 10. Suppose -219 + 168 = -3*x. Let t be (119\/x)\/(2 - (-1)\/(-1)). Determine z(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8781 - -17597\/2. Calculate the common denominator of 11\/7528 and p.\nAnswer: 7528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-y + y + 2 - 3*y).\nAnswer: -6*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 239, 714, 1587, 2978, 5007?\n\"Answer: 20*c**3 + 19*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-297)\/(-66)*40\/(-105).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9046 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j**2 + 107909472*j + 45486149012964 = 0. What is j?\nAnswer: -3372171\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 79.38242g?\nAnswer: 79382420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3\/3 - 5*i**2\/2 + 55*i + 14. Let w be j(11). Let r = w + -117. Solve 0 = -2*h - r*s - 12, -h - s + 2*s = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/17 - 142*f**4\/17 + 666*f**3\/17 - 378*f**2\/17 - 1188*f\/17 = 0. Calculate f.\nAnswer: -1, 0, 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33924338 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.823 + 0.823. What is the nearest to 0.2 in v, -1\/7, -0.6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 225*n - 11 - 1368*n.\nAnswer: -1593*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 453 and 2567?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 88. Let w be ((-7)\/(-5 - 2))\/1 + -3. Let d be 4 + -2 + b + w. Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32208 = 2*z - 32162 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.9. Which is the closest to 1? (a) i (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -49, -73, -107, -151, -205?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2104 = -2*q - 2*x + 662, 0 = 2*q - 4*x - 2778. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333201 (base 5) to base 3\nAnswer: -121000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16756 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(-132)*-4)\/((-1)\/(-269)). Which is bigger: -89 or b?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.66 and 0.1?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -1 - (0 + 0). Solve 5*u = -b*i + 5, i - 5*u + 4 + 1 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 23*w + 3997 = 3079 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(36\/4656). Calculate the common denominator of 74\/33 and 9\/54 - h\/108.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/17 + 144*n + 563112\/17.\nAnswer: -2*(n - 1422)*(n + 198)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6774, -14085, -21398, -28713, -36030, -43349?\n\"Answer: -s**2 - 7308*s + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3556 + -3097. Calculate the highest common divisor of 102 and s.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5272408*q + 402572.\nAnswer: -5272408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -34*a + 104*a - 32*a - 36*a. Let i(k) = 9*k**2 + 4*k + 2. Let j(n) = -n**2 - n. Let q(w) = -i(w) - 4*j(w). Calculate q(c(h)).\nAnswer: -20*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, -0.09, -1, 93?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -19*b - 6695. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2485 and 66745.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 77*t - 414*t + 31*t + 3.\nAnswer: -460*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 4*n - 16*n. What is the smallest common multiple of 105 and -4*n\/48*24\/(-9)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 3. Suppose 4*a = -0*a - 20. What are the prime factors of q(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 2493 + 634. Calculate the smallest common multiple of 6 and t.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/8*(37661\/(-2652) + 14) and -101\/96.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 17 = 77. Let m = x + -10. Calculate the least common multiple of m and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 + 4*v**2 - 3*v + 1. Let g(c) = 9*c**3 + 9*c**2 - 7*c + 3. Give -3*g(k) + 7*l(k).\nAnswer: k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 = 7*s. Suppose 0 = 4*z + s*q - 36, -z = 4*q + 2 + 2. Suppose o - z = -3*o. Solve 5*y = o*k - 20, -k = -0*k - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2\/3 - 15032972*t - 90197848\/3 = 0. Calculate t.\nAnswer: -2, 11274731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x - 1. Let t(o) = -5*o. Let h(p) = -3*m(p) + 5*t(p). Let j be h(0). Solve 13 = 4*v - j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 206 or 161?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.72 + -1.28. Let h = 95.3 - 1.3. Let p = h - 90. What is the closest to -3 in u, -4, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6 (b) -1\/6 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**4 - 34*l**3 - 6*l**2 + 18*l + 12. Let c(h) = 3*h**4 - 11*h**3 - 2*h**2 + 6*h + 4. Let b = -36 - -52. Let i(y) = b*c(y) - 5*w(y). Factor i(o).\nAnswer: -2*(o - 1)*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = -2. Let q(f) = 6*f**2 - 7*f - 5. Let h(b) = -7*b**2 + 7*b + 6. Suppose 18*n - 14*n - 24 = 0. Let c(s) = n*q(s) + 5*h(s). Determine c(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2\/(-6))\/1)\/(10\/(-30)). Are c and 15\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83*d**2 + 577009*d + 120204391.\nAnswer: -166*d + 577009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*z + 11589 = 0, 3*j - 7457 - 1227 = -4*z. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1493 divided by 3\nAnswer: -1493\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -630607205 at least as big as -630607205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + (-858)\/(-182). Solve 0 = -f*j + 4*i + 17 - 1, -17 = -5*j + 3*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 978 + -10750\/11. Let n = -13\/33 + m. Which is the third biggest value? (a) n (b) -3 (c) -0.2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**6\/120 - m**4\/24 + 8*m**3 - 42*m. Let q(j) be the second derivative of a(j). Let n be (10\/15)\/((-2)\/(-3)). What is q(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606477402 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(9331\/62))\/(14\/(-1372))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000435408 to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.104 - 0.004. Which is the closest to 0? (a) -3 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*t + 11, 221*c - 9 = 224*c + 3*t. Let o(d) = d**2 - 3*d - 2. Let p be o(3). Sort c, p, -5 in descending order.\nAnswer: p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b + 30707 = 1045*b + 9980 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172960 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(16)\/sqrt(2)))\/sqrt(3) - ((sqrt(975) - -1*sqrt(975))\/sqrt(3))**2.\nAnswer: -1300 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 43*o. Let n be k(1). Sort n, 4, 5 in decreasing order.\nAnswer: n, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41a3 (base 16) to base 4.\nAnswer: 10012203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*q - 10, -12*y + 16*y + 2*q = -10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zml when three letters picked without replacement from {l: 1, c: 1, h: 2, m: 5, z: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15206*l + 977184 = 24749*l - 14899*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87\/5*b**3 + 636*b - 3\/5*b**4 - 480 - 864\/5*b**2 = 0 for b.\nAnswer: 1, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/(42\/(-7)) + 10*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.0946 (b) -12 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -306867616*t**2 - 100486533 wrt t.\nAnswer: -613735232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cd + 3?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1\/4 (c) 12495 (d) 0 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8*1)\/(1 - -1). Which is the biggest value? (a) n (b) 3\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txr when three letters picked without replacement from {r: 3, t: 3, g: 1, f: 6, x: 1, d: 3}?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, c: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11796?\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*i - i = -150, -190 = -4*d + i. Let z(x) = 2*x**2 + x + 2. Let m be z(2). What is the highest common divisor of m and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -530 by -10.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-2\/37))\/l)\/l)\/l)\/(l*(l*l\/(l\/l**(1\/14)))\/l)*((l**1*l)\/l)**(-42) assuming l is positive.\nAnswer: l**(-23375\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58783207*z**4 - 281050943*z**2.\nAnswer: -1410796968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538661963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by 6024\nAnswer: 101\/6024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/7)*d*d\/d**1*(d*d**5\/d*d*d)\/(d*d*(d\/(d\/(d\/d**(-1\/5))))\/d*d*d*d))\/((d**0*d)**(1\/25)\/(((d*(d*d**4*d)\/d*d)\/d)\/d*d**(-6))) assuming d is positive.\nAnswer: d**(458\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8 - 2. Let q be (-5 - (-4)\/t)*1. Let b = -1 - q. Does b = 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 56. Let d = 40 - z. Let y be 49\/5 + 3\/d. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2. Let b(p) = -6500*p**2 + 624*p + 624. Let n(o) = 104*o**2 - 10*o - 10. Let v(w) = -5*b(w) - 312*n(w). Determine u(v(f)).\nAnswer: -21632*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486282 is divided by 2955.\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*22.9.\nAnswer: -45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/9, -2378, -183?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 17*b**2 - 15*b - 54. Let a be r(18). Suppose -8*f = -a*f - 1144. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-115)\/46*(-144)\/20. Solve 504*p + r = 498*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 46 - 4. Let g be (-3963)\/(-21) - 16\/(-56). Calculate the greatest common divisor of y and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 206*l**2 - 419*l + 166. Determine s(-105).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13891, -13887, -13881, -13873, -13863?\n\"Answer: u**2 + u - 13893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a2129cc + 5?\nAnswer: a2129d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-328)\/(-18) - (-6)\/(-27). Suppose -10 = 5*n + 5*v - 5, 2*v + b = 2*n. Solve 8 + 0 = -n*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -203325, 1, -4 in descending order.\nAnswer: 21, 1, -4, -203325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4336160*j*t**2 + 2145*j*t*v**2 + 2*j + 7*t**2*v + 8*v**2 with respect to v.\nAnswer: 4290*j*t*v + 7*t**2 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appppypypcycppycpp. What is prob of picking 1 c and 1 p?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1948, -3894, -5840, -7786, -9732, -11678?\n\"Answer: -1946*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v\/(v*v*v\/(v*v\/v**(-49))))\/v))))\/(v\/(v*v**(-22))))\/(v*v**(1\/71))**(-34) assuming v is positive.\nAnswer: v**(-2451\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -9 (b) -1\/4 (c) -0.6447\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106.169 - 0.169. Let o = 105.6 - a. Let k = 0.52 - 0.02. What is the closest to -0.1 in k, 3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:42 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-3)*((35\/5)\/49)\/(92\/92)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = 2*i - 11, -4*p = -3*i + 22. Suppose -g = i - 3, 0 = -5*y + 4*g + 122. Solve 2*h - 3*k = -7*k - y, h + 8 = -k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219320, -877524, -1974612, -3510578, -5485416, -7899120, -10751684?\nAnswer: -14043102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 3*o**8\/560 - o**5\/20 - o**4\/3 + 26*o**2. Let q(z) be the second derivative of j(z). Differentiate q(y) wrt y.\nAnswer: 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 6. Let d(j) = -5*j - 36. Let x(z) = -6*d(z) + 34*i(z). Let a be x(8). Let n be (-6)\/a + (-9)\/(-45). What is the smallest value in 3\/2, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.029415 - 4.970585. Let o be ((-2)\/(-10))\/((-28)\/(-10)). Which is the biggest value? (a) o (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -434*p - 56. Let q(h) = -174*h - 28. Let y(o) = -2*k(o) + 5*q(o). Calculate y(9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -37*c + 51. Let k be b(1). Solve -10*x - k = -54 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-8 - (-1 - 3) - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/15))\/n**(4\/9) assuming n is positive.\nAnswer: n**(22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*y**2 - 112 wrt y.\nAnswer: -88*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 120. Let v be s(0). Differentiate -105*k**3 - v + 70 + 80 with respect to k.\nAnswer: -315*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2469*b**2 + 4*b + 6. Let i(c) = -c**2 + 2*c + 3. Let x(z) = -6*i(z) + 3*s(z). Let y(j) = j**2. What is x(y(t))?\nAnswer: -7401*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923077 is divided by 524?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2*u + 3*z = -14, 2*u = -4*z - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 3*f - 3*f + 2*f**3. Let z(y) = 3*y**3 - 4*y. Let k be -2 + 4 - (4 + (-21)\/3). What is k*z(h) - 7*m(h)?\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2959 (base 13) to base 12\nAnswer: -3571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2720 = 72*i - 64*i. Suppose -i = -133*w + 128*w. Calculate the remainder when 206 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2301066, 4602142, 6903214, 9204282, 11505346, 13806406, 16107462?\nAnswer: 18408514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/9*(-540)\/120\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 45 - 23 = 13*p, -3*p = -2*g - 24 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 37 - 164. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 2*n**4 - 3*n - n**4 - 5*n**4 + 4*n**4 - 3*n**4 - 2*n**4 + 0*n**4 + (n + n**2 - n)*(-n**2 + 0*n**2 + 3*n**2).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/7))**(-3\/10) assuming l is positive.\nAnswer: l**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*a = 1182, -2*a - 4 = -14. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1626404240 and 0.\nAnswer: 1626404240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from adgdgdggdadddgaagaa?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-6) + 3\/(6\/10). Let u(j) be the first derivative of 1\/3*j**3 + m*j**2 + 0*j - 7. Suppose u(x) = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13333212100 (base 4) in base 11?\nAnswer: 1201424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 88, 150, 202, 232, 228, 178, 70?\n\"Answer: -2*q**3 + 7*q**2 + 55*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*o - 46 = 0, -16*z + 18*z + 4*o = 80 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67762894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 80*b**2 - 12*b + 2. Let h(l) = l**2 - l. Let p(d) = -12*h(d) + q(d). Is p(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -5*m + 3*t, -5*t = m - 27. Let h be 14 + (4 - 2) + 42\/(-7). What is the first derivative of -13 - 9 - h + 0*y**2 + 29*y**m wrt y?\nAnswer: 58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*j + 4*r, -7 = -5*j - 0*r - 2*r. Suppose 0*k + 0 - 1\/7*k**4 + 6\/7*k**j - 8\/7*k**2 = 0. What is k?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 - (-21)\/14. What is the third derivative of 7*a**3 - 2*a**3 + 3*a**k - 4*a**3 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = -4*g. Let x = 267 - 11479\/43. Let h = 100\/301 - x. Which is the second smallest value? (a) g (b) h (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 - (-35)\/4. Let a(k) = -3*k**2 + s*k**2 - k**2 + k**2. Let z(g) = 2*g. What is a(z(f))?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 17380647.\nAnswer: 17380647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1030.7 + 1031. Which is the second smallest value? (a) 1\/2 (b) z (c) -0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1338)\/892*360\/(-27)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1135 divide 2780223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlu when three letters picked without replacement from {u: 2, q: 7, l: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:55 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.926055627 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:47 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 4836.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 47111 + 15\nAnswer: 47126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -16*y**2 + y. Let l be i(1). Let h be (l\/(-9))\/(1\/9). Suppose 14*x = 71 - 1. Solve t - 3 = -2*s, -x*t + 4*s + h = s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((-14)\/3)\/(16\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55280.38 centuries in years?\nAnswer: 5528038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490 - u**3 + 4*u**3 - 5*u**3 - 126.\nAnswer: -2*u**3 - 616","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + l**2 - 1. Let w = 6 - 7. Let x be z(w). Let j = 2725 + -2700. Solve -3*v - x*v = j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1129190 + 377?\nAnswer: 1129567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 125\/(-22)*1\/(-90). Let b = g + 7\/44. Suppose 3*l + 2*l = 0. Which is bigger: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - -6. Suppose 4*l - 36 = m. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 - 177. What are the prime factors of 0 + 582 + v + 4?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -7. Let k(b) = -b**2 - 16*b - 8. Let c be k(-7). Suppose 0*l + c = -11*l. Sort l, -1, m in decreasing order.\nAnswer: -1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -77*y + 1. Let g(r) = r**3 + 13*r**2 + 6*r - 71. Let n be g(-12). What is m(n)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75136.2 millilitres in litres?\nAnswer: 75.1362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 + 6*y**2 + 0*y + 3*y**2 + 0*y - 270.\nAnswer: 9*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636913 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 2 = -5*b. Suppose -316 = -3*c - 5*a, 4*c - a - 468 = 4*a. What is the greatest common divisor of c and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1 (b) 45 (c) 624\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from eapapcppcpcacapcap.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -22922\/5 (c) 1\/3 (d) 0.062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418186168?\nAnswer: 2, 11, 17, 139, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l*z**3 + l*z - 270*z**5 - 281*z**2 + z wrt z.\nAnswer: -12*l - 16200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o + 2*o)*(-5*o + 4*o - 2*o) + (3*o**2 - 4*o**2 + 9*o**2)*(3 - 4 + 4).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8445*d**3 - 54*d**2 + 54*d**2 + 33233*d**3.\nAnswer: 41678*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -15965 (c) 0 (d) 1 (e) -1.1 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Let s = -7.8 + -1.2. Let x = -12 - s. What is the smallest value in 1, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200342, -403115, -605888?\nAnswer: -808661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 4. Let s(b) = -1. Let g(r) = -2*s(r) + z(r). Let k be g(-2). Find the first derivative of v**4 - 2*v**2 - 2 + 2*v**k - 6 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 15. Calculate the common denominator of (9 + -8)\/(u\/58) and (-2)\/10 + 454\/(-330).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 38\/(-10))*-5. Suppose -l - 1 = -4*o - 18, 4*l = -2*o + t. Sort o, 0, 5, -6.\nAnswer: -6, o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 240956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 2, y: 1}. What is prob of sequence xxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8*f + 851 = 3*f, 0 = -2*l - 3*f + 409. Let p = 414 - l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2070607 + 108?\nAnswer: 2070716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m - 41*m = 43*m + 150 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4197 - -2.9197. Let t = 16 - 11. Which is the nearest to t? (a) -1 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/9, -4480 in ascending order.\nAnswer: -4480, -0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 29, -1.6, 3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -303254066?\nAnswer: 303254111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1598*w - 1 - 3628*w + 93*w.\nAnswer: -5133*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -81479.4116 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2492\/11327 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 38. Let v(u) = -3*u + 76. Let d(b) = -5*a(b) + 2*v(b). Let f be d(10). What is the highest common divisor of 128 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95605 is divided by 10622.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 + 0 + (20 - 17) - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 6*m - 7. Let j be x(7). Let f = j + -3. Let t = f - -13. What is the least common multiple of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9 - 6\/(-9)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2163783 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 198*m - 24. Let i(r) = -41*r + 5. Let g(b) = -24*i(b) - 5*l(b). Let o(q) = q**2 + 9*q + 12. Let p be o(-8). Let k(z) = 5*z. Give p*k(j) + 3*g(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 + 48\/7*d - 2\/7*d**2.\nAnswer: -2*(d - 28)*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*i + 14 = 0, -5*y - 6*i = -8*y + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2322?\nAnswer: 1\/774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/112 and 109\/387324?\nAnswer: 1549296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) 3 (b) -0.3 (c) 59\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:57 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3 (c) -1\/7 (d) 1 (e) 90.6 (f) -0.5 (g) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 33\/7)*2\/5. Sort r, -5, 0.5 in decreasing order.\nAnswer: 0.5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133854, -1070715, -3613582, -8565459, -16729350, -28908259, -45905190, -68523147?\nAnswer: -97565134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2 - (-12)\/5). Suppose -m - i = -3*m - u, m - 9 = -5*i. Let y(k) be the second derivative of -k**4\/12 - k**3 + 3*k**2 + 2*k - 122. Determine y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*a - 4*a**3 - 3*a**3 + 97*a - 6*a**3 - 1 as w*a + p + s*a**3 + h*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59025 is divided by 106.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(1008))**2 + -3 + sqrt(1008) + -5 + sqrt(1008)*1).\nAnswer: -16096 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34414414421 - -2?\nAnswer: 34414414423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*s - 323 = 224, -2*f + 3*s = -363. Suppose -2*w + 132 = -12*a + 7*a, 5*a = 4*w - 294. What is the greatest common divisor of f and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 - t + 6. Let o(z) = 2*z**3 - 3*z**2 - z + 13. Let h = 379 - 385. Suppose -3*d + 26 + 13 = 0. Let m(l) = d*j(l) + h*o(l). Determine m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 4*h - 4. Let x(o) = o. Let m be x(-5). Let v = m - 0. Let g be i(v). Is g > 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*n - 43 - 1. Are n and -26\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 337.2 and -0.4.\nAnswer: -134.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + n = 0, -2*r - 50*n = -52*n + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12663*f**2 - 30*f. Let v(r) = -8*r**2. Give q(v(x)).\nAnswer: -810432*x**4 + 240*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672688398?\nAnswer: 2, 41, 709, 28771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(5\/3))**(-6) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 10 - 0) + 1469 + -1504?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 441019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1946, -3681, -5404, -7109, -8790, -10441?\n\"Answer: x**3 - 1742*x - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ose when three letters picked without replacement from zxsebbxzosxbzo.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315519 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3357 is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.52 + -0.48. What is the nearest to 0.1 in -2\/13, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36139992 is divided by 120?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 5*h**7\/21 - 5*h**4\/12 + 2*h. Find the third derivative of x(d) wrt d.\nAnswer: 600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/9))\/g**(-1\/15)*g**3\/(g*g**16) assuming g is positive.\nAnswer: g**(-577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s + 282*s = 193768632. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 21. Let o = 23 - 32. Let a be 3\/(o\/3) - -3. Solve 3 = a*v + x, -5*v - 3*x = -3 - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.04145 to the nearest integer.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 - 2*v. Let d(l) be the third derivative of l**5\/15 + l**4\/24 - 12*l**2 + 6*l. Give 4*d(n) + 3*h(n).\nAnswer: 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0359*739891\nAnswer: -26562.0869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-5))\/((-6)\/(-4)). Let t = -247 - -247.09. Which is the nearest to j? (a) 0.5 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 3, v: 12}. Give prob of sequence ccci.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-14 - -6) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*g**3)*(-5 - 3*g + 5)*(2071 - 184 + 1007 + 7223) in the form z*g + d*g**4 + k*g**3 + v*g**2 + i and give d.\nAnswer: -60702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -258.78349?\nAnswer: 1035.13396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -48, -1, -4.\nAnswer: -48, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 38 - 23 = 0. Suppose 3*b - 16 = -i, 0 = -4*b - 0*b + k*i + 15. Solve -3*d + 1 = p - b, d = 5*p - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 480273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (17\/((-187)\/(-33)))\/(1*3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196 - 39*o - 196 to c*o + h and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-628 - 600 + 1858 + 82187*m - 630)*(2*m - 5*m + 2*m + (5 - 2 - 2)*(-m - 3 + 3)).\nAnswer: -164374*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2458 to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -69. Sort -0.5, 3, g.\nAnswer: -0.5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1993\/3 - -642. Find the common denominator of (8\/(-72))\/(25\/925) and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**3 - 6*u**2 + 6*u + 6. Let p = -51 - -73. Let w = -16 + p. Let j(c) = 15*c**3 + 11*c**2 - 11*c - 11. Let m = 5 - -6. Give m*t(v) + w*j(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.05429 less than 198.46373?\nAnswer: 413.51802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 10 (b) -1.4 (c) -3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(52)\/(sqrt(4) + sqrt(16)) + ((sqrt(78)*-1)\/sqrt(6) - sqrt(13)) + sqrt(26)\/sqrt(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100111111001 (base 2) to base 5.\nAnswer: 1332004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3\/5))\/y**(-8))\/(y\/((y*y*y**(2\/13))\/y)*y*y**(1\/32)*y) assuming y is positive.\nAnswer: y**(13567\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.95 + -28. Let u = z - -0.05001. What is u rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(4\/3)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 5. Let f be (8\/(-10))\/(j\/(-10)). What is the units digit of (-4)\/3*36\/4*f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j - 3. Let a be q(-6). Let v be 2600 + (0\/a)\/2. What is v rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/6*-2*1. Suppose d*p - 16 = 5*p. Suppose -3*j - s = -35, -9 = -j - s + p. What is the remainder when 31 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let p = -8 - -10. Let n(i) be the first derivative of -8*i + 6*i**2 + 7 - 7*i**2 + 5*i**2 - 3*i**p. What is r(n(g))?\nAnswer: -4*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -8 - -1) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Solve -5*i - 29 = o*f - 0*f, -5*f - 11 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + 0.05. Let a = -0.14 + k. What is the nearest to -1 in a, 0, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 5*k**7\/7 + 2*k**3 - 5. Find the third derivative of j(b) wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 + 6*l. Calculate d(-9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 48, -648, -2210, -4926?\nAnswer: -9084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 - 322?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 409.\nAnswer: 408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24828 and 25382492.\nAnswer: 76147476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*g + 194*g = -90 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 25*d + 15. What is q(-11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l - 55. Let f = 9 + l. Which is smaller: -3\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - c + 5. Let w be o(-3). Suppose -2*i = b - 109, -2*b - w = -3*i + 2*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 8) in base 2?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**1*l))**(1\/6)*((l*l**3\/l)\/l)\/l*(l\/(l**(-1\/7)\/l))\/l assuming l is positive.\nAnswer: l**(83\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3488661, 13954561, 31397727, 55818159, 87215857, 125590821, 170943051?\n\"Answer: 3488633*y**2 + y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a**5\/a)\/a)*a**(2\/5)*a**(2\/31)*a\/a**(3\/11) assuming a is positive.\nAnswer: a**(-1378\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90 - (-1 - -4) - 0. Let d = -59 + f. What is the remainder when d is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 38*h + 24 = -4*d, 5*h = -78 + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 52. Suppose o = 3*q + 5*q. Suppose q*t - 2*r - 190 = 0, 2*t - r + 152 = 6*t. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3*sqrt(121) - sqrt(121))*-2)\/(3*(sqrt(11) - (sqrt(11) + sqrt(22)\/sqrt(2) + sqrt(11))) + (sqrt(11) + sqrt(55)\/sqrt(5))*-2))**2.\nAnswer: 2816\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - o = 6, 913*j - 4*o - 6 = 915*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2025600 and 22080.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5 + 260*o**4 - 11880*o**3 + 126560*o**2 - 372400*o + 329280 = 0.\nAnswer: -84, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - q + 56, -2*p = -0*q + 3*q - 38. Calculate the common denominator of 67\/6 and (4498\/(-24))\/p + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 296 - -2262. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64326.16 + 3.\nAnswer: -64323.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 18. Suppose -2*h - o = -4*h. Suppose -h = -5*i + 2*i - 4*d, -4*i - 4*d + 16 = 0. Solve u + 10 = -5*v, i*v - v = -4*u + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 + -146. Suppose 0 = s + 5*k + 23, -4*s - 2*k - k - 7 = 0. What is the remainder when v is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efde when four letters picked without replacement from ndzfezna.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s**2 + 2*s - 2. Let k be x(-9). Is k\/(2\/2)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.547 + -0.453. Let q = 2 + 0. Which is the closest to q? (a) -5 (b) f (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224 by 1793.\nAnswer: 224\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1668, -3059, -4438, -5805, -7160, -8503?\nAnswer: -9834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*a - 15, a = -3*u - a + 9. Suppose -u*k - 15 = 4*h, h + 17 = -3*h - 5*k. Let d = h + 11. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mymymy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/4)\/(-42)*168\/36.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/5)*q**4)**43 assuming q is positive.\nAnswer: q**(1032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-2*-1*(-47348)\/(-39872)*4?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let g = -0.99 - -0.72. Let z = g - 0.73. Which is the third biggest value? (a) -1\/4 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -26*c + 32*c. Suppose -2*o + 4*m - 6 = -46, -3*o + 2*m = -44. Solve o = -4*b + 4*k, 0 = -3*b - 3*k - k - c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410630894, -410630893, -410630892, -410630891, -410630890?\nAnswer: -410630889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 20, w - 24 = -w - 4*j. Suppose -2*c - w*c - 8 = 0. What is the units digit of ((-3)\/(-5))\/(c\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -35, -1, -4, -9, -6 in descending order.\nAnswer: 3, -1, -4, -6, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3 + 232*b - 212*b + 3. Let k(y) = y**2. Calculate k(w(o)).\nAnswer: 400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198849350*w**2 - 245840*w + 585?\nAnswer: -397698700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2189 is divided by 624?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*k = 0, 0*k = -2*h + k - 2. Let x = 5 + h. Find the third derivative of 2*c**4 + 4*c**x - c**2 - c**4 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 38. Which is smaller: u or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 1. Let j(a) = 6*a + 3. Let i(b) = -j(b) + 4*n(b). Let h(u) = -4*u - 2*u + u + 0*u. Let z(y) = 7*h(y) - 3*i(y). What is z(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 2320.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35116, 35119, 35124, 35131, 35140, 35151, 35164?\nAnswer: 35179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7940.7 - 7940. Sort 9, -5, u.\nAnswer: -5, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -455282.34.\nAnswer: -455278.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4\/17)*k*k**(-2\/31))**(-3\/11))**(-20) assuming k is positive.\nAnswer: k**(6240\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + p**2 + (-p + p**2 + p)*(-2 + 7 - 3) + 4*p**2 - p**2 - p**2)*(-p - 2*p + 5*p) + 0*p**3 - p**3 - 2*p**3 + (-p + 0*p + 0*p)*(-3*p + p**2 + 3*p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1496138000 to the nearest 1000000.\nAnswer: 1496000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 648 = -6*b + 2*b, 0 = 3*f - 2*b - 940. Suppose 297 = n - f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788879.\nAnswer: 7, 13, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 20, 28, 38, 50, 64, 80?\n\"Answer: o**2 + 3*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i + 6. Let n be d(0). Suppose 10 = n*z - z. Let q be ((-126)\/z)\/(-2 - -1). What is the highest common factor of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 - 12 = 37*d. Let g be (5*3\/(-1))\/(-1). Let q = g + d. Solve 0 = -q*k - 13 + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 + 219*f**3 + 1144*f**3.\nAnswer: 1372*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 826?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8149 + -4662. Does 129 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8 less than -2.663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttb when three letters picked without replacement from bbtbttbtbttbbbbbbb?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 17, 22, 25, 26, 25, 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q + 0 + 1\/120*q**6 - 1\/24*q**4 + 2\/3*q**3 - 51*q**2 - 1\/60*q**5. Give i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 2*s, -2*g - 4*s = 4. Suppose g*f = 2*f + 2. Let x(n) = 0*n + n + f + 0*n + 2*n. Determine x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let d(h) = h**3 - 10*h**2 - 418*h + 58. Let z be d(26). Let n(x) be the third derivative of x**4\/3 - x**2. What is z*n(q) + 44*p(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 615358 and 13762?\nAnswer: 4307506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45143 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68628726 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 114933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11790059 divided by 97.\nAnswer: -121547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131888, -527583, -1187082, -2110385, -3297492, -4748403, -6463118?\nAnswer: -8441637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*q**2 + 58*q**2 + 62*q**2 - 183*q**2 - 22884*q**3.\nAnswer: -22884*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6 + 13 + 13*d - 7*d + 4. Is n(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-2 + -2 + sqrt(2) + sqrt(12)\/sqrt(6).\nAnswer: -22*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/81, 4, 1\/3, 1\/5, -1.285, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5 (c) 1 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1088)*3)**2 - -2*(sqrt(1088) + 1)) + 5 + sqrt(170)\/(sqrt(1440)*-4 + sqrt(1440)).\nAnswer: 575*sqrt(17)\/36 + 9799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18392597 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -566 + 579. Suppose -r = -l - 37. Which is greater: -17 or l?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 49. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1887648 divided by 2809\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 5*m - 17*m**4 - 10*m**3 - 3*m + 16*m**3 + 20*m**3 - 2*m**2 as y*m**2 + b*m**3 + v*m + o + x*m**4 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33749 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 40*z + 48*z + 49*z - 140*z + 31*z. Let o(v) = -10*v. What is r(o(y))?\nAnswer: -280*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7510, -16810, -26112, -35416, -44722?\nAnswer: -54030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(704))*-2 + 4.\nAnswer: -16*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Suppose -10*j = 70 - 90. Let g(u) = 19 + 13 - 2*u - 4 + 19 - j. Give c(g(r)).\nAnswer: 2*r - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9334537.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 184, -5, -2\/7?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.4, 1\/7, 0.03, -36?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/163 - -4051\/489. What is the common denominator of (-174)\/(-1305)*(-294)\/8 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1101?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = -2. Suppose -2*x - 216 = -n*x. Calculate the greatest common divisor of x and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 2*s + 2*s)*(-3 + 0 - 5) + (0 + 3*s + 0)*(-2 + 0 + 3) to h*s + l and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1312680075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/10? (a) 5 (b) -0.3 (c) 1\/2 (d) -5 (e) -0.2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17929*o + 18043*o - 3420 = 0 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 - 105*u**2 + u + 44. Give d(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1800\/1100)\/((-1)\/(-22)))\/(-2 - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71473 and 5?\nAnswer: -357365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -22021?\nAnswer: -22024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053112148 rounded to four dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 6, 2.\nAnswer: -6, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + (11 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, q: 1, t: 4, b: 2, h: 3, a: 1}. Give prob of sequence aj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.86 - 0.14. Let o = 3\/233 - 365\/10252. Let s = -23\/44 - o. What is the second biggest value in 2, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, -2, 8 in ascending order.\nAnswer: -2, -0.5, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 260, 1042, 3158, 7274, 14056, 24170?\n\"Answer: 111*b**3 + b**2 + 2*b + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 60?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.8 - -5.7. Let m = o + -6.9. Which is the nearest to -1\/4? (a) -5 (b) 3\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h + 21240 - 20870 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5886 (base 11) to base 13\nAnswer: -3688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttcthtahehhtchhh. Give prob of sequence ha.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068758507*q**2 + 1068758507*q**2 - 32*q**3.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from hhhhhhhshhhshhhhhh?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 417*b**2 - 6469*b + 465. Calculate p(223).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(5\/6))\/(l**5\/l))\/(l**(1\/6))**46)**(-4) assuming l is positive.\nAnswer: l**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iriiiiiiiri. Give prob of sequence riii.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**2. Let l(x) be the first derivative of 125*x**3 + x - 10808. Calculate l(q(d)).\nAnswer: 54000*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84998 and 68?\nAnswer: 2889932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 628776997 > 628776997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 - 3*d - 1. Suppose -4*i = 2*z + 26, -4*z + i - 7 = -0. Let t be b(z). Let q = t + 23. Calculate the highest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s**4 - 10*s**4 + 8*s**4)*((-2 + 1 - 1)*(-s + 1 - 1) + 7*s + 0*s + s).\nAnswer: 80*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9826 and 153.\nAnswer: 88434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 248401957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 149*y - 1 + 115*y - 53*y. Let n be b(1). Suppose 0 = 5*d + 4*g - 584, 4*d - 251 = 3*g + n. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((j\/(j*j\/(j\/(j**3\/j)*j)))\/j)\/j)*j*((j*j\/j**(1\/2)*j)\/j)\/j*j**10\/(j*j*(j**(-13)*j)\/j*j) assuming j is positive.\nAnswer: j**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*r + 59 = 0, 2*r = -5*m - 5 + 37 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -17*x + 45. Find the third derivative of -9 - 4*y**2 + 5*y**x + 36*y**4 + 36*y**4 - 72*y**4 wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.49, -9\/4, -1.6 in descending order.\nAnswer: 6.49, -1.6, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6218*a - 17271 = 7127*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5448 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 11 = -m - 7*l, 9 = m + 3*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {g: 6, y: 2, c: 2, m: 1, h: 3, s: 5}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912 is divided by 103?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 - 114*g - 359. Let i be u(-3). Factor 3\/2*w**2 - i - 1\/2*w.\nAnswer: (w - 1)*(3*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from {a: 6, m: 2, h: 4}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26827\/8 + 3349. Find the common denominator of a and 127\/198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.8, 5, -0.2, 2, -0.1 in descending order.\nAnswer: 42.8, 5, 2, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-2)\/(-10) - (-11)\/(-55)) - 121 - 6?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/44373 and -24\/15786223?\nAnswer: 331510683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/9 - 2*d\/3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 44838.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.4 (c) 2\/9 (d) -8\/31 (e) -0.15 (f) -13 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156972649?\nAnswer: 11717, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 5. Let v be p(-2). Solve 2*x - 21 = v*a, 4*a + 14 = -3*x + x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 30113 = -q, 0 = -3*q + 5*t + 75600 + 14684. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - x - 52 - 50 + 99, -16*o - 5*x + 47 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.3 (c) -2\/17 (d) -0.026 (e) -1\/7 (f) -4 (g) -61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*r + 81*r - 24*r - 24*r.\nAnswer: 103*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) -1 (d) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (84\/9 - 0)*48. Let q be (-4)\/(-14) + 57\/21. Suppose -106 = -a - q*s + s, 0 = 4*a - 4*s - n. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/11 - -101\/110. Let b(d) be the second derivative of 3\/100*d**5 - 3*d + 0 + 0*d**2 + 0*d**4 - k*d**3. Find h, given that b(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (0 - 10)) + -18 + 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*m + 7*m. Let w(c) = -4*c + 12*c - 5*c - 2 - c + 0. Determine w(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-3*q + 2*q - 3*q)*(7*q - 5*q + 6*q + (q + q - q)*(-2 + 5 - 5)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 7*a + (-2 - 1 + 1)*(-3*a + 0*a + 5*a))*(a - a**3 - a).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -29. Calculate the remainder when 25 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3887, -3729, -3467, -3101?\n\"Answer: 52*p**2 + 2*p - 3941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2318.2 - 2119. Let q = y + -199. What is the nearest to 0 in -6, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155 times -0.2?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025633219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(153) + 1)**2 - (sqrt(17) + -4*sqrt(17)*-1))*6 + 5.\nAnswer: 6*sqrt(17) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5\/3))**(2\/29)*(s**(-8)*s)\/s*s*s**(-12)\/s*s assuming s is positive.\nAnswer: s**(-1637\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*3 - sqrt(243))**2 + 3.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.22 + 7.12. Let b be (-2*1)\/(4*-2). Let m be (-4)\/(-6)*18\/(-8). What is the nearest to d in b, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*c + 2*c + 4*m, -3*m = 2*c - 6. Let w(v) = 131730*v**2 - 13*v - 13. Let u be w(c). What is u rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 5. Let g = 262 - 259. Suppose -5*m - g = v - 4*m, -m + 9 = -3*v. Determine r(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-4))\/(6\/32) - 5. Find the common denominator of -83\/64 and -4 - (235\/50)\/y.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*t**2 - 2920*t**2 - 29*t + 29*t + 802*t**2.\nAnswer: -1747*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u. Let f be 4\/(-6)*459\/(-18). Let y(v) = f*v - 8*v - 8*v. What is a(y(r))?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3\/3 + 2000*r**2 + 71732*r - 454360\/3 = 0?\nAnswer: -37, 2, 1535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 799.98 and 55.76.\nAnswer: 44606.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i**(6\/25))\/(i**37\/i**(-40)) assuming i is positive.\nAnswer: i**(-5807\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l + 9 + 1 - 11.\nAnswer: -42*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1469\/8 - -184. Let x = -31.9 + 32. Which is the closest to -2\/5? (a) z (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166.93 + -167. Round o to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-94)\/470 + (-86)\/(-84)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3533453 (base 9) to base 11\nAnswer: -109640a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24242\/161*21\/6. Calculate the greatest common divisor of y and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21009796 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q - 4. Let x be s(3). What is the highest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013220797 to five dps.\nAnswer: -0.01322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -32 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.2979907471 - -15.298. What is x rounded to 7 decimal places?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98100450?\nAnswer: 2, 3, 5, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuum. What is prob of sequence uumw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and 9222.5817994?\nAnswer: 9222.6617994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 5:33 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1333201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 42, 116, 232, 396, 614, 892, 1236?\n\"Answer: m**3 + 12*m**2 - 5*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 6 (c) -553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let j = -1350 + 1346. Let h = -0.14 + 0.19. What is the closest to o in -1\/7, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1445 - -1431.17. Let l = 14 + o. Round l to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3261969456\/29 - -112493810. Let i = v + -12106. What is the common denominator of -65\/8 and i?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(931))**2 - (sqrt(1539)*1)**2.\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87295\/4 - 22028. Is -204 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238055 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 2 + 7*p - 1 - 4 wrt p.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*5\/(11 + -1). Let m(s) be the third derivative of 3*s**2 + 1\/180*s**t - 1\/72*s**4 + 0 + 0*s + 0*s**3. What is g in m(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (40 - 64 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 15. Factor -4*l**3 + j*l**4 + l**3 - 30*l**4.\nAnswer: -3*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8281496 litres in millilitres?\nAnswer: 828.1496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21.9 and 0.06?\nAnswer: 1.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 160 = 15*p. Suppose 6*o - p*o = -v + 33, -2*v + o + 61 = 0. What is the greatest common factor of 66 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430383 (base 11) to base 14.\nAnswer: -13cd25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005244 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -250*h**3 + 4*h**2 - 4*h. Let d be g(3). Let q be -2 + (-7)\/(21\/d). Round q to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*(-7)\/(-476)*(16\/(-3))\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 0.0000542\nAnswer: -36.9999458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*d + 12 + 23 = 0, 0 = 2*d - 10. Let m be (2\/(-6))\/(n\/780). Suppose 18*b = m*b + 80. Let w(z) = z**2 + 10*z + 7. Calculate w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 3*f**2 + 3. What is w(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1678)\/(-6) - 0)*3. Let s = 20603 + -20598. Suppose -a = -s*o + 306. Calculate the remainder when o is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*c + 40, -3*c + 4*y + 4 = -37. Let o(v) = -v**2 + 206. Let b be o(12). Let z = b - c. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**2 + l - 1. Let p be x(5). Let n = -254 - p. Let f = n + 118. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -385208 + 0?\nAnswer: -385208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -666, -636, -606, -576?\n\"Answer: 30*p - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 + -68. Let s = j - 87. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0 - 1\/15*d**5 - 3*d**2 + 0*d**4 + 0*d + 0*d**3. Let k(h) = h**2. Calculate k(w(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -646 (b) -43 (c) -13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.04, -0.4, 6, -3.1, 0.12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/16000 and 103\/17600.\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/6 - 147*y**2 + 43218*y - 4235364 = 0. Calculate y.\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n - 12*n + 5*n**2 - 10*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g + 2*x - 180, 2*x = -g + 36. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {p: 1, b: 1, u: 1, m: 2, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4575665694\/41 - -5348953504415\/47929. Let r = j - 2\/6847. Find the common denominator of 20\/173 and r.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122085\/11356 + 2\/2839. Let f = 449\/44 + c. Put 5, 0.3, f in descending order.\nAnswer: 5, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -193994*h**3 + 5421*h + 42?\nAnswer: -1163964*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 4*s + s. Let j(o) = -s*o**2 - 13*o + 15*o**3 - 16*o**3 + 8 + 89*o**2. What is the remainder when 30 is divided by j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 301 + 695 = 0. Suppose 5*r + v = r. Let l = -46 - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -77*v**2 + 84*v + 1. Let t(g) = g. Give t(n(l)).\nAnswer: -77*l**2 + 84*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/40 + 6*q**5\/5 - 51*q**4\/8 + 13*q**3 + 224*q**2. Factor u(f).\nAnswer: 3*(f - 1)**2*(f + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1278, -5109, -11482, -20391, -31830, -45793, -62274, -81267?\nAnswer: -102766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3\/4 - 3*c**2 - 715*c\/4 + 363\/2 = 0.\nAnswer: -22, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -21. Let y = z + -22. Suppose 0 = 3*q - 5*q + 6. Which is the smallest value? (a) y (b) -4\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -20756.\nAnswer: 62268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*b = -102, -a + 76 = 2*a - b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -980*m - 14575. Give n(-15).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 98. Which is smaller: l or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12040512 divided by 66?\nAnswer: -182432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19386813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o - 1. Let s(c) = 1 - 4*c**2 + 11 + 13 - 3656*c + 0*c**2 + 3662*c. Determine s(b) - 6*x(b).\nAnswer: 2*b**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012548 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 + p**2 - 19*p + 17 - 5*p - 17 to the form j*p + x + k*p**3 + f*p**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b + 38. Let y be s(0). Suppose -g = -6*g - 180. Let m = y + g. Solve m*a - 3 = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 3:52 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m + 79. Let v be y(11). Suppose 10*b - 6*b + 5*c - 29117 = 0, -v*b + 14569 = -c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/80 and 13\/4540?\nAnswer: 18160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 12566988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 9\/(-1*1)*1482\/(-342).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 599.93 + -600. Is b less than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4862, -4862, -4860, -4856, -4850, -4842, -4832?\nAnswer: -4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**5\/20 - t**4\/3 - 2*t**3\/3 - 5*t**2\/2 - 4*t. Let i be x(5). Solve i = -4*k - 4, 4*k = -w - 5 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1944 and 405?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1302143 - 312013?\nAnswer: 440130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2198222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 253 + -241.32. Round c to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = 8 - 56 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258 or 340?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - 4*d**5 + 2*d**5 + (-d + 2 - 2)*(-3*d**4 + 2*d**4 + 0*d**4).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -2 - (5 - ((-5 - -29) + -9))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8618 - 8694 = -4*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 4, s: 1}. What is prob of picking 3 r and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068*s + 8630 + 7445 + 1013 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325126.\nAnswer: 2, 162563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94, 498, 1562, 3616, 6990, 12014?\n\"Answer: 55*s**3 + 19*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - 3 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/(-18))\/8 - -3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than 0.07517056358?\nAnswer: -0.72482943642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b + 20. Let p = b + 11. Let v(j) = -j**3 + 4 + 2*j**2 - 3 - 3*j**p - 2*j**2. Calculate v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 608.9998732 - 609. What is y rounded to 6 decimal places?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -14, -35, -74, -137, -230?\n\"Answer: -p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18388 - -18384. Put -5736, v, -3 in ascending order.\nAnswer: -5736, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5 + 400210*l**4 - 1200644*l**3 + 800432*l**2 = 0.\nAnswer: -200108, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 255 - -11?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136980110863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 40092 + 28044. Let t be -5 + (-5 - -7) + f. Suppose j + 5*b = -j + t, 5*j + 4*b - 56747 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-5) - 1*2. Calculate the greatest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2 - 9. Let b(w) = 3*w**2 + 4. Let i(j) = 9*b(j) + 4*z(j). Let a(t) = -6*t + 812 - 812. Calculate a(i(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010021121323 - -2?\nAnswer: 1010021121331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 987*f**3*y**2 - 954*f**3*y wrt y.\nAnswer: 1974*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.1 + 15.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301 and 92937?\nAnswer: 27974037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4015 take away 3748.2?\nAnswer: -3755.6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + (-98 - -95 - 44).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -140, -213, -306, -425, -576, -765, -998?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*h = -4, -22*c + 17*c + 10 = -2*h. Sort 8, -2\/15, c, -10 in descending order.\nAnswer: 8, c, -2\/15, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -2*a**7\/21 + 17*a**4\/12 + 17*a. What is the third derivative of w(o) wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40335.\nAnswer: 3, 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, -56, -176, -404, -776, -1328?\n\"Answer: -6*i**3 - 6*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*z + 2. What is the second derivative of -11*n**3 - n + 0*n + z*n wrt n?\nAnswer: -66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2282710606 is divided by 2568.\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine thirds of a day?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x**2 + 4*x. Let w(g) = 6*g**2 - 3*g. Let b(s) = -3*a(s) - 4*w(s). Let h(d) = 10*d. What is h(b(f))?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 6. Give v(14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11943241\/7905 - -25683\/17. What is the common denominator of -16\/33 and g?\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 8*n + 19. Give i(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350952 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = f. Let c = 3.2 - 2.7. Put c, f, -1 in descending order.\nAnswer: f, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 540621, 1081218, 1621815?\n\"Answer: 540597*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 56\/607 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898138.\nAnswer: 2, 11, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 159007112.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 40*d - 19. Let y be l(2). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66729, -66730, -66731, -66732?\n\"Answer: -g - 66728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 8131535?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1702 and -133\/138?\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 + -6 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3540797888?\nAnswer: 2, 55324967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*x + 2063, -5*x - 985 - 1077 = -3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*w - 78, 14*w = 5*d + 16*w - 48. What is the least common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*a - 2, 0 = -5*y + 4*a - 744 + 739 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260983931?\nAnswer: 13, 20075687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 6:34 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.8017 times -2\nAnswer: -5.6034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 867 and 115914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 9468?\nAnswer: 28404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 4. Calculate the remainder when y(4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 890 = -5*w, -d = -3*w + 421 + 105. What is the tens digit of (-32)\/w - (-21322)\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t + 90. Let k be f(7). Suppose -4*h + k*h = 4294. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600211.\nAnswer: 157, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 2*s**2 - 3*s - 2. Let t be (-64)\/(-14) - (-15)\/35. Let g be 4\/6 + (-2)\/3. Let h be g - (t + 0 - 3). Calculate j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 30 = -r. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 14. Let l(q) = q**3 + 29*q**2 + 34*q + 160. Let p be l(-28). What is w(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let c(a) = -493*a. Determine p(c(t)).\nAnswer: 486098*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, s: 3, c: 2, b: 4, g: 1}. Give prob of picking 2 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:25 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 582dda + 6?\nAnswer: 583002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11132230002 + -11022?\nAnswer: -11132301030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 34, 4.57, 0.3, -5, 14, 2, -4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 + g - 4. Let s be z(-3). Suppose 12 - 2 = 4*h - s*l, 4*h - 3 = -5*l. Solve 3 = -h*d - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:14 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 722 - 691. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1*27\/(-6). Let i(h) = -h - 5. Let z be i(w). Suppose z*b = -b + 50. Solve -6*n + n = -b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -208*(-312)\/(-768)*8\/(-26)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140506?\nAnswer: 2, 163, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f**2 + f + 1. Let b(l) = -463*l**3 - 4596*l - 2. Let c(r) = 2*a(r) + b(r). Find the second derivative of c(q) wrt q.\nAnswer: -2790*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -1) + 2 + (2 - (1 + 9)) + 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 + -199. Let i(v) = 15*v**3 - 5*v + 10. What are the prime factors of i(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -169.\nAnswer: 3\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 860761245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040 (base 9) in base 14?\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-126)\/40) - (-4)\/(-18). Let y be (-2 - 36\/(-21))\/(1*x). Let j = -0.4 - -1.4. Which is the third biggest value? (a) y (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2330*d - 2332*d - v + 7, -3*v + 11 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*m**2*w - 41901*m**2 + 2*m*w - 54042*w wrt m.\nAnswer: 272*w - 83802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 6. Let y(s) be the third derivative of -s**7\/1260 + 3*s**4\/4 - 44*s**2. Let w(n) be the second derivative of y(n). What is z(w(a))?\nAnswer: -8*a**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 + 2*b + 5. Let a be y(-2). Let g(p) = p**2 + 3*p + 1. Let h be g(-5). Calculate the highest common divisor of a and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-39)*3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1656, 6601, 14832, 26343, 41128?\n\"Answer: -q**3 + 1649*q**2 + 5*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 7*t**2 + 10*t - 2. Let s be l(6). Suppose -s*n = -27*n + 75. What is the remainder when 54 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1304, 1287, 1270?\n\"Answer: -17*f + 1321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51.7 and -0.8?\nAnswer: 41.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/6))**(-42))**(-1\/24) assuming k is positive.\nAnswer: k**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 46 = 2*x, 0 = -r. What is the common denominator of x and 25\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(5\/(-60)*-3) - -7. Find the second derivative of -k**5 - 22*k**2 - 5 + 7*k**m + 8 - k - 7*k**3 wrt k.\nAnswer: -20*k**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 3*d + 4. Let a be b(3). Let c = 329\/3 + -111. What is the smallest value in 1, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 67264291*g. Let k(h) = h**2. Calculate m(k(q)).\nAnswer: 67264291*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -164*p**3 - 8*p**2 + 82*p + 9. Let m(b) = 75*b**3 + 4*b**2 - 41*b - 4. Give 9*m(a) + 4*v(a).\nAnswer: 19*a**3 + 4*a**2 - 41*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9845 or -39?\nAnswer: 9845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from qqzzqyzyqzqzq.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -61. Solve 4*a + n = -j - 3*j, j = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16206 and 415954.\nAnswer: 1247862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 = g + 4, 5*d + 3*g - 7 = 0. Let z be (-59)\/(-35) + (-6)\/15. Does z = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 52*u**2 + 148*u + 2. Determine t(-49).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2167 = -5112*i + 4224 + 23503 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/32*40\/15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -15 + (4 - 22) + 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-13)*y*y)*y**(-3\/8)*y assuming y is positive.\nAnswer: y**(93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*u**2 + 119*u**2 + 102*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.363135 * -272\nAnswer: 98.77272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + 33*b - 9. Let r be j(16). What is the derivative of -r*g + 58 - 2*g + 45*g**2 - 47*g**2 wrt g?\nAnswer: -4*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (1936221\/(-24228)*(4\/(-14))\/(-1) - -8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2670135846 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 51. What is the hundreds digit of 3 + (-7)\/g + -5 + 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 1360. Let r(t) = -t**2. What is r(z(g))?\nAnswer: -9*g**2 + 8160*g - 1849600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 64222*t - 54 = 64226*t, 0 = p + 17*t + 108 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 24*m - 36. Determine o(24).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88521 is divided by 732?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16976624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:01 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggngoonngggonnnpxnpg. What is prob of sequence poog?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3361842 - 3361842 + 5*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + -22?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15700 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlhdahhmldrh. Give prob of picking 3 h and 1 m.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1458 + 1526. Suppose 10 = -2*h + 3*h. Calculate the remainder when b is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owootowwwwofwwwt. Give prob of sequence to.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48977 and 268?\nAnswer: 195908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4036 (base 9) to base 6\nAnswer: -21353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1507 and 4939?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -113. Calculate the greatest common factor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2245 is divided by 368?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000180175225 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 13853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -237.94. Let x = n - -2. Let s = x + 0.94. Which is the biggest value? (a) 3 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c + 28 = -5*l, 4 = -3*c + 2*l. Let d be (-3 - c) + 3\/68. Let g = d - 5\/17. What is the second biggest value in g, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/26*2\/75)\/(3\/45)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 239663 - 112610\nAnswer: 127053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j**4*o - 82734*j**2*o**2 + 2*j*o**2 + j*o - 121*j + 239*o**2 + 12*o wrt j.\nAnswer: 108*j**2*o - 165468*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10149498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 124191737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-16) - (-45)\/8. Let s be n\/8 + (-130)\/(-40). Solve 1 + s = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:38 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 562629856 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80 times 0.4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14213, 28425, 42637, 56849, 71061?\nAnswer: 85273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -69. Let z = -14.9 + i. What is z rounded to 1 dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 130.61 - -47\nAnswer: 177.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -2*f**3\/3 - 6*f**2 - 10*f - 9. Let r be j(-4). Suppose r*x - 1694 = -662. Calculate the greatest common factor of 43 and x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -28\/9, 1\/8, -0.4, -2, 7 in ascending order.\nAnswer: -28\/9, -2, -4\/7, -0.4, 1\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.15 - -0.15. Let q = j - -12. Which is the second biggest value? (a) -1 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by 70521.\nAnswer: -61\/70521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(45) - (sqrt(3) + 1*sqrt(300) + sqrt(3))**2.\nAnswer: -432 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27100, 27129, 27156, 27181, 27204, 27225, 27244?\n\"Answer: -x**2 + 32*x + 27069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 4089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11819.1 to the nearest 100.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-35)*0)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1491532, 12, 7 in increasing order.\nAnswer: 7, 12, 1491532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**9)\/r)\/r**9)**(23\/4)*((r**(1\/5)\/r*r)\/(r*r**(1\/11)))**(1\/50) assuming r is positive.\nAnswer: r**(-142337\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, j: 2, r: 10}. Give prob of picking 2 j and 2 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 36*y + 269. What is v(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 + -339. Sort j, 5, -2.4.\nAnswer: -2.4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 2*v**2 - 8*v + 4. Let m be u(-4). Let f(r) be the second derivative of r**5\/20 - 5*r**4\/12 + 5*r**3\/6 + r**2\/2 - r. Determine f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. What is the units digit of (-2)\/1 + (a - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1*-5)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3600765835 to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j + 2. Let v(k) = 13*k**3 - 17*k**2 + 24*k - 10. Give 6*u(l) + v(l).\nAnswer: 13*l**3 - 11*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(2\/9)*o))\/((o\/o**(-1\/3))\/o)*o**7*o**7 assuming o is positive.\nAnswer: o**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27064 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 44*t - 11*t + 10*t + 16*t + 2*t.\nAnswer: 51*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 17 - 0) + 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/19)*(x**(9\/2)*x)\/x*x)**(2\/61) assuming x is positive.\nAnswer: x**(201\/1159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -70?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -35345596\nAnswer: -14138238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010011110 (base 2) in base 12?\nAnswer: -5512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 749250\/13320*(2\/4)\/(18\/(-48)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - -4*1*sqrt(88))\/(sqrt(64)\/(sqrt(8)*1)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26260529*j**2 + 5*j - 192076.\nAnswer: -52521058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.042 + 1.662. Let u = 1.22 - l. What is the closest to 3\/5 in 1\/5, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*k**4 - k**3 - k**2 + 674.\nAnswer: 484*k**3 - 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(15 + 4 - 2)*(169*h + 7 - 339*h + 173*h).\nAnswer: -102*h**2 - 238*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.8 and -29422.\nAnswer: 611977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 + -153. Let b(g) = g - 1. Let v be b(3). Suppose f = 3*z - v*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3229.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -121*k + 248*k + 5 - 121*k - 3. Let x(o) = 0*o + 0*o + 2*o. Calculate x(a(s)).\nAnswer: 12*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 91*p + 813. Calculate r(81).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 6 = -3*l. What is the second derivative of -2*c + c**4 - l*c - 11*c + 9*c**4 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 - 4*f - 11. Let x(o) = 15*o - 64. Let v be x(4). Let p(c) = 3*c**2 - 2*c - 5. Calculate v*b(h) + 9*p(h).\nAnswer: -h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -5*z + 5*a, 2*z - 177 - 12 = -5*a. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 7*j + 4. Let o = 5 + -7. Let m(x) = -3*x**2 - 6*x + 3. Let k(s) = o*h(s) + 3*m(s). Determine k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (4 + -17 - 10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 11*x**3\/3 - x**2 - 3*x - 5. Let l be n(2). Is l bigger than 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1323 or 1267?\nAnswer: 1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 2*o**4 + 3*o**3)*(0*o - 2*o + o)*(0 + 1 - 4).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 10418970*d.\nAnswer: -2*d*(d - 15628455)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -583793190 to the nearest 100000.\nAnswer: -583800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/37015080 and 53\/641880.\nAnswer: 111045240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1008480, 4033880, 9076210, 16135470, 25211660, 36304780?\nAnswer: 49414830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 8535*m**2 + 85725*m + 214625.\nAnswer: -5*(m - 1717)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-12)*(3 + 264\/(-84)))\/((-61)\/2)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/4 (b) -81 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-3)\/(-2)) + 3. Let l(a) be the first derivative of 3\/2*a**4 - 5*a + 12 - 2\/3*a**3 + 0*a**2. Let h(f) = -f**3 + 1. Determine z*l(v) + 4*h(v).\nAnswer: 2*v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1327*z**5 + 843*z**2?\nAnswer: -79620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12*c - 322. Calculate y(14).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/8)\/(3\/12). Let z = w + 11. Suppose -2*o + 82 = z*u, -4*o = 5*u - 18 - 86. Solve -6*g + u = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 4 - 5) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*k - 13340 - 10060 = -5942 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 21 = -q, -1 = -2*m + 4*q + 25. Suppose 49 = m*u - 6. Let x = -22 + 25. What is the closest to 0.6 in u, 1\/6, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20488 and 936.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -48*n + 885. Determine j(16).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4694 + 4694. Let b(v) = v**3 + v**2 - v - 2. Calculate b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (16 - (11 + -12))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-2)\/sqrt(9) - sqrt(28)) + -3*sqrt(56)\/sqrt(2) + -3 + (sqrt(28) + -1)**2 + (sqrt(112)\/(sqrt(8)\/sqrt(2)))**2.\nAnswer: -16*sqrt(7) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 745 = -130. Suppose 5*n + j = 490. Calculate the highest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -13 - 8) + 11 - (-9 + 15)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/41766381 and 80\/88173471.\nAnswer: 793561239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -10*b**3\/3 + 3. Let y(z) = -z. Let a(q) = -q. Let p(k) = a(k) + y(k). Determine v(p(f)).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96321500?\nAnswer: 2, 5, 11, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4395.68 to the nearest 10.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -36.06. Let l = x - 36.23. Let i = -0.68 + l. Round i to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 10*d + 9. Let w be n(9). Let b be 2*(w + 10\/4). Suppose 0 = -5*t + b*v + 5, -5 = 5*t + 3*v - 42. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 7}. Give prob of sequence qqq.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxucy. What is prob of sequence jc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 1\/4 (b) -2 (c) 4 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17141, 34419, 51695, 68969?\nAnswer: 86241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104232 (base 5) in base 7?\nAnswer: 13523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*i + 7*i**2 + 171*i)*(36 + 211 + 72).\nAnswer: 2233*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -329, -754, -1301, -1964, -2737, -3614?\n\"Answer: n**3 - 67*n**2 - 231*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48056.32 nanometers to millimeters.\nAnswer: 0.04805632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047487 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -1, 0.8, -2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9 + -20)\/(11\/(-22)) is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34933840 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3122734 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*j + 1 + 6, -d - 2*j = -4. Suppose -4*g - 38 = -t, -t - d*t = g - 49. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*x - x. Let v be (-8)\/28 + (-46)\/x. Find the first derivative of -v*t + 1 + t - 3 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.7, 0, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*z + (-4 + 3 + 3)*(-5*z + 2*z + z) - z + 2 - 2 + 2*z + 3 - 3)*(-9 - 2 + 3) as j*z + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5065 - -10433\/2. Which is smaller: 152 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 2*k**2 + 3*k - 2. Let h be c(2). Solve 6*l - h*l = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*u + 2 + 126*u + 180*u - 16*u - 95*u in the form q + k*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjb when three letters picked without replacement from kbjjjjkbbkjbjk.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 7*p**2 + 7*p + 7. Suppose 0 = n - 4*u + 2, n - 12 = -5*u + 4. Let w be l(n). What is the greatest common factor of 117 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -620*y - 9. Let j(l) = 606*l + 8. Give -4*a(r) - 5*j(r).\nAnswer: -550*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x**(-2\/7)*x))\/x)**35*x**(3\/5)*x**2 assuming x is positive.\nAnswer: x**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3181*m**2 + 4273.\nAnswer: 6362*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 588708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2084*x - 1394198. What is n(-669)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 - 50*r**3 + 15*r**2 + 700*r - 980 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 48 = -33, 3*i + 13 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1054, -1053, -1052, -1051, -1050?\n\"Answer: d - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 31*i**2 - 108*i - 1344. Let x(n) = 5*n**2 - 17*n - 224. What is -13*x(b) + 2*z(b)?\nAnswer: -3*b**2 + 5*b + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, p: 2, q: 1}. What is prob of sequence zqz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from hoshllllolsl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40836453*i**2 - 13503849.\nAnswer: -81672906*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2893 - -3748. Calculate the highest common divisor of u and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, -4, -4037, -14, 0 in ascending order.\nAnswer: -4037, -17, -14, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (445*n + 31 - 904*n + 447*n)*(1 - 3*n + 0*n + 0*n).\nAnswer: 36*n**2 - 105*n + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*s**3 + 3*f**2*s**2 - f**2*s + 37*f**2 + 9870*s**3 + 406*s wrt s.\nAnswer: 12*f**2 + 59220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.264 + -1269.536. What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 75.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11429, -11433, -11441, -11453, -11469, -11489?\nAnswer: -11513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -20*f**2 - 34*f + 3. Let l(q) = -78*q**2 - 135*q + 10. Calculate -11*h(w) + 3*l(w).\nAnswer: -14*w**2 - 31*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - v)*(12 - 12 - 5*v) + (1 - 6 - 1 + (-3 - 2 + 6)*(3 - 2 - 3))*(41*v**2 + 53*v**2 - 76*v**2) + 2*v**2 - 2 + 2.\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(s**2 + s**4 - s**2) + 0*s - 17*s**4 + 15*s**4 + 4*s - 23*s**4 + 19*s**4 + 38*s**4 + (0*s**3 + s**3 + s**3)*(3*s - 7*s + 2*s).\nAnswer: 29*s**4 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and (-5)\/(((-21)\/(-12))\/(-7))?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5634.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 16*t**2 - 39*t - 266. Calculate the lowest common multiple of 3 and i(-8).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 - 6. Let z(i) = 9*i**2 - 13. Let o be (-2)\/10 - (-24)\/(-5). Let u be (-20)\/o + (1 - -1). Let j be ((-11)\/2 + -1)*2. Calculate j*w(x) + u*z(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 941)\/(3\/3). Suppose i = -4*v - 0*i - 3743, -v - n = -5*i. Let s = v + 29013\/31. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose q*v + 424 = 4*v. Suppose 5*y - 181 = 3*n, -n - v = -2*y - 34. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -10*y - 105 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(432))\/sqrt(9).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*q**2 - 102 + 102 + (-q + 4 - 4)*(2*q + q - 2*q) - 2*q**2 + 2*q**2 + 2*q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10111000?\nAnswer: -10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53829*k**2*l**2*w**3 - 73*k**2*l**2 + 543997*k**2*l*w - k**2*w**3 - 3*k**2*w wrt l?\nAnswer: 107658*k**2*w**3 - 146*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 956 = 317 + 491. What is the remainder when d is divided by 58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q - 28 = -33*q. What is the units digit of 4 - q\/2 - -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i - 130. Let f be a(37). What is the greatest common factor of 319 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - 32.2. Let w = -33.08491 - -0.06191. Let l = o - w. Round l to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2093 - 2\nAnswer: -2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a = 48*a + 2*t + 13, -2 + 1 = -2*a + 5*t for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*d - 95, -3*d + 4 = d. Suppose 2*t + 2*k - 5*k = 1, 0 = -t - 2*k + l. Solve -f - 14 = -4*s, -t - 15 = 4*f - 5*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -53, -2, -4, 5, -15, 3 in descending order.\nAnswer: 6, 5, 3, -2, -4, -15, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-514 - -425) + -10 + 77?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 + 7*h + 6. Let z be i(-7). Let g(l) = l - 3. Let v be g(z). Let n(u) = 15*u + 1. Is 12 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -14. Let s = z + 20. Let x(v) = -3*v + 1. Let y be x(1). What is the biggest value in -0.5, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 419 + -419. Suppose -9*r - 2*r + 7183 = c. List the prime factors of r.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173358?\nAnswer: 2, 3, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 3 - 3)*(0 + 0 + 2*m) + m**5 + 2*m**5 - 2*m**5 + (0*m + 0*m + 2*m**3)*(-13*m**2 + 12*m**2 + 9*m**2) + m**5 + m**5 - m**5.\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 65 + -65 + 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 608247 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(3 - (-22)\/(-6)). Suppose j*o = 5*o + 8. Differentiate -c**4 - o*c - 4 + 2*c + 0 with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 176*p + 4147. What is t(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69297577 divided by 1.\nAnswer: 69297577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*z + 149 + 195 = 818*z + 112 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 121*u + 1150. Let q be z(3). Calculate the highest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12) + (-6020)\/(-840)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -123*m - 3565. Calculate q(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 16994448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*w + 18 = 0, -23 = -l + 5*w - 1. Let b be 17\/3*l\/4. Suppose -66 = -x - b. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128074018*w**3 - 84329936*w**2 wrt w.\nAnswer: 768444108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 76*f + 100*f - 233*f + 91*f. Let b(u) = -1463*u. What is 4*b(h) + 171*j(h)?\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10457 is divided by 3484.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((3*(sqrt(130) - sqrt(130)*2) + (sqrt(130) - 5*(sqrt(130) + sqrt(130)*1)))*3)\/(-5*-3*sqrt(90)*1))**2.\nAnswer: -1248\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7099.58 centuries in decades?\nAnswer: 70995.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + (-2 - -10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -26787*l + 26802*l - 81 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15274 by -4.\nAnswer: -7637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbbgfz. Give prob of picking 1 l, 2 b, and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 109*b - 13186. Give y(112).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 - 21 - -22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*g + 56*g - 86*g)*(-6 - 4 + 3)*(-8 - 2*g + 8).\nAnswer: -868*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-3)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l + 1. Let w(s) = s + 1. Let o(b) = 2*w(b) - x(b). Let m be o(-1). Let d be (-9)\/10*m\/(-6). Is 2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -32, -97, -204, -365?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.8 (b) -1\/8 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(160)\/sqrt(4)))**2 + -5*-1*(sqrt(2) + 2)**2.\nAnswer: 20*sqrt(2) + 61\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s - 24*s + 32076 = -34*s. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15648144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*58\/(54868\/41409) - -3*4\/22.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*n - 1 = -6*k, -3*k + n - 853 = -856 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5*a\/a**5*a\/(a*a\/a**(1\/3))*(a**(-6)*a)\/a assuming a is positive.\nAnswer: a**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + k + 48*d + 242, 5*k + 538376*d - 538381*d - 30 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -121, -174, -213, -232?\n\"Answer: b**3 - 2*b**2 - 62*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 5 + 48 + -90.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 16*c**2 + 14364*c - 100456. What is i(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-20))\/(2\/(-10)). Let m be (40\/(-25))\/(j\/(-10)). Suppose 7*l - 15 = 2*l - 5*w, -m*l + 12 = 3*w. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -113305?\nAnswer: -113304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23843037.\nAnswer: 3, 7947679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3680 + 773*j + 799*j + 3680 to t*j + g and give t.\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 9*u - 1. Suppose 2*k = 5*w, -31 = -6*k + k - 3*w. Suppose -k*q - 425 = -5*s, -202 = -2*s - 5*q + 3. Suppose s*i - 93*i + 24 = 0. Give z(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - l = -4 - 3, 27 = g - 3*l. What is the lowest common multiple of 3\/g - 60\/(-16) and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 20*v**4\/7 - 188*v**3\/7 + 352*v**2\/7 - 16*v = 0.\nAnswer: 0, 2\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 2*s + 2*s)*(-4*s - 19*s - 7*s - 26*s) + (1 - 1 - 3*s)*(29*s + 10*s + 6*s) to x*s + q + z*s**2 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 4, 2*d - 4550 = -4*t. What is the remainder when d is divided by 325?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {t: 15, s: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeqqqqeeqeqqqeqeee. What is prob of sequence eeee?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*h + 1, h + t - 3 = -h. Let o = 807\/5 - 8807\/55. Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21440 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(722\/95))\/30?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + v + 6. Let m be t(0). Suppose -26*k + m = -24*k. Solve 3*b + 5*x + 9 = 2*x, 0 = 2*b + x + k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1821 + -0.1198. Let x = g - -3.9377. What is the third smallest value in x, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45937?\nAnswer: 71, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfdhf. Give prob of picking 1 h and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 105. Let o = k - 110. Let y = 9 + -13. Which is the third biggest value? (a) o (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**2 - 2*f**2 + 9*f + f**5 + 10*f**2 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*u - 81, -3*u = -w - 0*w - 37. Suppose -u + 2 = -3*p. Let m(j) = j**3 + j**2 - 2*j. Let x(d) = -2*d**3 - d**2 + 3*d. Give p*m(l) + 3*x(l).\nAnswer: -2*l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10377.58 - -0.049\nAnswer: -10377.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 53. Let b = h + -27. Suppose 9*r - b = 6*r. Solve 2*w = 4 - 12, -r*k + 3 = -3*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 - d + 10. Let p be f(10). Factor 2*n**2 + 4 + 30*n + 58*n**3 - p*n**4 + 64*n**2 + 118*n**4.\nAnswer: 2*(n + 1)**3*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + 2 + 8 + -22 + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3219 - -3222. What is the second biggest value in -74.3, -3\/4, s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37849219 and 649772.\nAnswer: 151396876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -12*w**3\/5 - 1655116*w**2\/5 - 772376*w - 1103392\/5 = 0.\nAnswer: -137924, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 32. Let h(f) = f**3 + 3*f**2 + 5*f + 3. Let r be h(-3). Let k = -10 - r. Solve -3*i = 2*o + k, 0 = -l*o - 2*i - 19 + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 - 20*c**2 + 3*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 134501 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 21 = 4*w. Let g(n) = n - 4. Let s be g(6). Is s greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + -1*sqrt(8) - sqrt(8))**2*4*-3.\nAnswer: -575 - 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 616270*w**3 - 86055*w**2?\nAnswer: 3697620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -22. Find the third derivative of r**2 - 3*r**2 + 0*r**2 + 13*r**4 - 2*r**v wrt r.\nAnswer: 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -20, 4 in decreasing order.\nAnswer: 4, 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/69729 and 31\/30?\nAnswer: 697290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 331, 301, 271, 241, 211, 181?\n\"Answer: -30*f + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3386, -6773, -10160, -13547, -16934?\nAnswer: -20321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 1111?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y + 6 - 6 + 0 + 10*y. Let w(h) = 15*h. Give w(q(z)).\nAnswer: 90*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 51080100 to the nearest one hundred thousand.\nAnswer: 51100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.12850083 to three dps.\nAnswer: -2.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 1122492.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -69. Is -1\/88 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 35. Let n be (s\/10)\/(69\/230). Suppose n*i - 212 + 16 = 0. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 91, 74, 21, -80?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 + -6841020015255.\nAnswer: -6841020015255.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdddffdffdddd. Give prob of picking 2 d.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**31)**42\/((z*z**4*z*z*z)\/(z*((z**1*z*z)\/z)\/z*z))**(-50) assuming z is positive.\nAnswer: z**622","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*o**2*w**6 - o**2*w**2 + 3*o**2 + 7*o*w**3 - 4 wrt w.\nAnswer: -840*o**2*w**3 + 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23128367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (((2*sqrt(468) - sqrt(468)) + 1)**2 + sqrt(468) + sqrt(468) - sqrt(468)))*2.\nAnswer: 36*sqrt(13) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-4)*(3360\/30)\/(-28).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*g - 14 = -g, 3*c = -3*g - 9. Let d be -1*12\/(60\/(-35)). Let o = c + d. Solve -2*i = o*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**2. Let j(y) = -715*y + 1. Calculate j(t(d)).\nAnswer: 7865*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20854500 rounded to the nearest one hundred thousand?\nAnswer: -20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aax when three letters picked without replacement from xaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p = -p + 304 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -3\/5, 10, 4, -2, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 23. Let u be (-4)\/6*306\/24*-2. Let h = 18 - u. Sort -3, h, v in decreasing order.\nAnswer: v, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -66239790 and -66239789 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*((sqrt(114)*-2 + sqrt(114))*1 + sqrt(114)))\/(6*(sqrt(6) - sqrt(24)) - (sqrt(24)\/sqrt(2) - sqrt(12))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let g(s) = -8*s - 20. Let o(x) = -g(x) + q(x). Is o(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 - 180*c + 69 - 525 + 160*c.\nAnswer: -20*c - 878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7821*y**2 - 11*y + 5. List the prime factors of c(1).\nAnswer: 3, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-2) - 126\/(-12). Sort -3, 3, y in decreasing order.\nAnswer: y, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-9)\/(-15)*30\/2 and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 31*o**2 - 3101*o - 21788. What is p(-7)?\nAnswer: 1438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 17*o - 521. What is the remainder when 350 is divided by s(-18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -84. Let y(g) be the third derivative of g**4\/24 - 6*g**2. Let p be y(z). Solve 5*t + 2*d - d = p, 2*d = -2*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -g - 1, 3*x = 3*g - 12 + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0919 * -288914.\nAnswer: -26551.1966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -468*y**3 - 7476*y**2 + 190*y - 29. Calculate a(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2244 and 88.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3\/5, -4\/3, -1\/3, 0 in ascending order.\nAnswer: -6, -4\/3, -1\/3, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (-99 - (-88 - 93)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 7, i: 1, b: 3, q: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**3 - 3*y**3 + 6*y**3 + 12*y**3 - 8*y**3 - y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 a when three letters picked without replacement from {j: 2, k: 5, a: 4, t: 1, e: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/106356359 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2248 + -1959. Calculate the remainder when u is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 12*h - 2650 = 113*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/4 + -7\/12. Let i be ((10\/(-6))\/1)\/(1\/3). Let v be 4\/2*i*(-16)\/(-40). Which is the biggest value? (a) 4\/7 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -17, -52, -103, -170, -253, -352?\n\"Answer: -8*a**2 + 5*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = -2. Suppose 0 = -j*q + 2 - 0. Let g be (24\/16)\/(q\/2). Solve -5*n - 20 = 2*i + g*i, 3*i + 12 = 2*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 6 - 30)*(-6*l + 7*l + 8*l) + (20 - 20 - 5*l)*(-3 + 5 + 0).\nAnswer: -91*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c - 17*c + 7*c + 10*c + 11*c - 8*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16018, 15963, 15932, 15925, 15942, 15983?\nAnswer: 16048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = 113*b - 174. Let f be (-1)\/(-2 + 3)*1. Put f, b, -2 in decreasing order.\nAnswer: b, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*i**3 + 4*i**3 + 3*i**3)*(-1 - 2 + 4) - 5 + 0*i**3 + 7 + 4*i**3 + 2*i)*(-143 - 1 - 34).\nAnswer: -1068*i**3 - 356*i - 356","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 7 - 51 = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97655209?\nAnswer: 29, 3367421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 34*v + 715. What is a(-20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 435\/174 - 18\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11653233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/132 and -35\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-90)*-3)\/(84\/70)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37284*s**3 + 4227*s**2 wrt s.\nAnswer: -223704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1497*v + 12. Let o be 2\/9*-6*3. Let i be u(o). Round i to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 78\/3547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 7. Let z = 12 + -11. Let q = -3 + z. Let a(m) be the first derivative of 2*m + 1. Calculate q*g(o) + 7*a(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 71, -1, 2, -663.\nAnswer: -663, -3, -1, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5978 - 1452. What is the greatest common factor of 124 and k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -49*q + 46. Calculate m(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 273, 413, 557?\n\"Answer: 2*d**2 + 130*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2401316ug?\nAnswer: 0.0000000000002401316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6436 + 12281.\nAnswer: 5845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1795.419um to nanometers.\nAnswer: 1795419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shbsgbtgm. Give prob of sequence gbt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iriiiri. Give prob of sequence rri.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 329 - -4358. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - (-13)\/(-3). Let s = 7 + w. Suppose -s*j + 13 + 20 = 0. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -12, -28, -60, -114, -196?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 200001.45 months?\nAnswer: 16.6667875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 2043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5*o + 4. Let x be m(-5). Suppose 2*d = d + x. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136226.\nAnswer: 2, 68113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42030605761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*a = -167, -4 = -a - 0*a. Suppose -42 - y = -7*v. Solve v*n + 20 = 6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367024 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 6*j**2 + 4*j - 5. Let z be c(-5). Suppose -3*v + 6*v = z. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6815*z**2\/4 - 13635*z\/4 - 5\/2 = 0.\nAnswer: -2, -1\/1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2067955550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 + 84. Let w = c + 60. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 + 14*u - 43. Let p be k(4). Suppose -5*r - 120 = -p*r. Solve -r*q = -11 - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 1, c: 1}. What is prob of sequence yci?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -2255?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1079788156*f**2*r + 53*f**2 - 268*f + 697 wrt r?\nAnswer: 1079788156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9182.826ml in litres?\nAnswer: 9.182826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-4662)\/924*55\/(-20)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3002959cm?\nAnswer: 3002.959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12907.99mg to tonnes.\nAnswer: 0.00001290799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/4 + 5*x**3\/2 + 7*x**2. Let n(l) = -l - 2. Suppose -26*i + 20*i = -17*i + 165. Determine i*n(q) + 2*p(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*-2 + (-32)\/(-39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -27826*m + 616. Let v(o) = 9*o. Calculate v(j(k)).\nAnswer: -250434*k + 5544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from dkvvemer.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3))\/(r\/r**9) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x = 22*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**5\/5 - 3*v**4 - 22*v**3\/3 - 6*v**2 + 2305. Suppose b(n) = 0. Calculate n.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*l + 54 + 48, 0 = v. Suppose -5*h + 48 = -3*g, -5*h - 5*g + 4 = -4*h. Calculate the remainder when l is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 2. Let o be v(14). Let a = -69 + o. Let g(d) = 35*d**2 + 2*d + 3. List the prime factors of g(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -102523241200.\nAnswer: 102523241200.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)*q*q*q*q**(1\/4)\/q)\/(((q\/(q*q*q**(1\/2)*q)*q)\/q)\/q)**(3\/7) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -419615\/22 - -19078. Let p = 4\/4943 - -72313\/2263894. Let a = 12317\/5496 - p. Calculate the common denominator of t and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1988 and 7526.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 0*t**2 + 0*t**2 + (t**3 + 55*t**2 - 120*t**2 + 68*t**2)*(-4 + 4 - 1).\nAnswer: -3*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343839, -687683, -1031531, -1375383, -1719239?\nAnswer: -2063099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:51 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:25 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 38. Suppose -t = 5*s, -4*s - s = d*t. Solve -2 = -4*k - 5*y + 11, -3*y + 3 = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(144) + 3 + sqrt(22)\/(-6*sqrt(22)\/sqrt(2)))**2 - (0 + sqrt(162) + sqrt(162) - sqrt(6)\/sqrt(3)*-5 - -5*(-1 + sqrt(242)))**2.\nAnswer: -877247\/72 + 1561*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-35)\/50*(-2)\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-12)*(-3)\/(-2). Let l(o) = 8*o + 49. Let k be l(-6). Sort i, k, -0.1 in ascending order.\nAnswer: i, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 771 - 157. Is (-1)\/((-1230)\/q + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 215250.\nAnswer: 430500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2349, 4664, 6979?\n\"Answer: 2315*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85688.28 decades to centuries.\nAnswer: 8568.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 5, -48, -12, 4.\nAnswer: -48, -12, 0.3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3)\/((-56)\/(-24))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 + 3461367*r**2 + 48459687*r + 44998317 = 0?\nAnswer: -13, -1, 1153803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565 by -5.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -252 (b) -2\/7 (c) 5 (d) -29452 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 46861146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.9 + -52. Which is the fourth biggest value? (a) 4 (b) 5 (c) 0.1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**4 + 35*p**3 - 737*p - 1?\nAnswer: 72*p**2 + 210*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -6) - (18 + -9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.10329609 rounded to three dps?\nAnswer: -7.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*g - 2*u, u = 2*g - 67 + 9. What is the derivative of g - 48*l**4 - 60*l**4 + 3*l**4 - 32 wrt l?\nAnswer: -420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**8*n*n*n**(-10)\/n*n*(((n\/n**(2\/5))\/n*n)\/n)\/(n**(-5\/7)\/n) assuming n is positive.\nAnswer: n**(81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*v - 62, -v - 36 = -4*m - 6*v. Suppose -m = -4*x - 2. Let y = 4 + -2. Solve y*w + w + x = 0, 4*s - 4 = -4*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -866 - -864. Put 1, -46, 2, w in ascending order.\nAnswer: -46, w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(166\/2490).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1604 and 4986836.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -r - 6*r. Which is bigger: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-19 + (19 - 7))) + -3 + 0 + -107?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -10 + (12 - -1) + 9 + 7 + -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - 0.4. Let m = 10 - 10.1. Let r = m - -0.4. Which is the nearest to -1? (a) s (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 7 + 1. Let c = -10 - i. Suppose 10*y + 5 = 5*y. Put y, -3, c in decreasing order.\nAnswer: y, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -24*a**3 - 3*a**2 + 19*a**3 - a**2 - a - 2*a. Does 15 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251006.\nAnswer: 2, 7, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 866250 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 14*p + 4047. Let y = -215 - p. Which is the third biggest value? (a) -3 (b) -2\/19 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(4\/3)*k)**(-2\/11))**(1\/13) assuming k is positive.\nAnswer: k**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 16. Suppose 3*i = 4*m + 79, 5*m - 64 = -0*i - z*i. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 3. Suppose 3*x - w = 17. Let s be ((-9)\/(-4))\/(x\/64). Solve -4*r + 4*q - s = 6*q, -r = -4*q - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = 0. Suppose 4*o + 12 - 84 = j. Suppose 3*m = 4*f - 171, 2*f + 81 = 4*f - 3*m. What is the highest common factor of f and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 63. Let o = 48 - y. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 171817368.\nAnswer: 171817368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/7 - 44*b\/7 + 114\/7 = 0. Calculate b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3517 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29955786, -29955785, -29955784?\n\"Answer: h - 29955787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41269.\nAnswer: 41269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5125 times 85?\nAnswer: -435625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(130) - sqrt(130)) + -6*2*sqrt(130))\/(sqrt(90)\/(sqrt(99)\/sqrt(176))).\nAnswer: -15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 12:13 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11672 - 7814. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*((sqrt(125) + -1)**2 + 0))*-5.\nAnswer: -100*sqrt(5) + 1235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24706 - 17*i + 2*i + 7*i - 3*i + 9*i - 24706.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -45742.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3839627579?\nAnswer: 29, 1439, 92009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 3*p**2 + p - 27. Calculate f(-5).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from qqiqiqqqqqqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:10 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 14310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -2, 1 in descending order.\nAnswer: 6, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 3*y**2 + 3*y**3 - 4*y**3 - 1 - 2*y**2 + 6*y**2 to j + b*y + v*y**2 + u*y**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341478500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1403\/244 + 183\/12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 10*o + 13. Let x be h(9). Suppose 38 = 6*f - x*f. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18937960 + 41*m + 92*m + 18937960 + 35*m.\nAnswer: 168*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*n**2 + 43*n**2 - 29*n**2 + (-3*n + 3 - 3)*(1 - 1 + 2*n) + 2*n**2 + n - n - n + n - 3*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109042, 436199, 981474, 1744867?\n\"Answer: 109059*a**2 - 20*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:36 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3730246 is divided by 746047.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85179 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*a + 200*a - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*y - 6, d + 2 = 3*y - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*q + 133 + 650*q - 408 + 134 + 141.\nAnswer: -94*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 7*f - 9. What is a(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/89 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*f + 26, 3*w = -2*w + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.99 in 1\/3, -29\/6, 64\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 2*i + 4. Let y be p(-5). Let u = -1837 + 1856. What is the greatest common factor of y and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6467*c + 6465*c - 22 = -3*y, y - 5 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101001021110 + -1002?\nAnswer: 12101001020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616299 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:18 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419202 = 96*q - 1221388 + 103438. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11761*d**4 - 5*d**3*t**3 + 24*d**2*t - 3801*d*t**3 wrt d?\nAnswer: -282264*d - 30*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z - 7. Let o = 16 - 22. Let n(m) = 15*m + 13. Let x(i) = o*n(i) - 11*r(i). Let s(c) = -c - 2. Let g be s(-5). Calculate x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14969*q**3 - 15003*q**3 + 7*q - 7*q.\nAnswer: -34*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(3 - (-68)\/(-20)). Suppose -3*l - 2 = -p, 0 = -4*p - g*l + 16 + 8. Let m(r) = p + 3*r + r - 5*r. Give m(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2700 and 40?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122472 at least as big as 122473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/90, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4958*y**3 + 141*y**2 - 1768*y + 346 wrt y.\nAnswer: -29748*y + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = 3*s, -2*l = s - 4*l + 8. Suppose s = -13*u - u + 2520. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 25*c**3 + 181*c**2 + 11*c - 169. Let f(m) = -145*m**3 - 1085*m**2 - 65*m + 1015. Let v(q) = 35*b(q) + 6*f(q). Factor v(x).\nAnswer: 5*(x - 35)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 670 + -470. Let k = -200.000000775 + b. What is k rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 + 26*r**2 - 157*r + 1237. What is j(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 8. Let c(v) = v**3 - 6*v**2 + v - 3. Let g be c(6). Suppose g*s + 0*s = -21. List the prime factors of b(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394745829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 452 - 18. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, 4, -4, 0 in ascending order.\nAnswer: -8, -4, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/10)\/((((j*j**(8\/3))\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 808888923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 483 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*n = 21, 0 = t + 8*n - 13*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + r = -21, 5 = i + 2*r - 3*r. What is the derivative of -2 - 3*w**2 - i + 4 + 6*w**2 wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4119 and -75\/2.\nAnswer: 8238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-16)*(-16)\/(-6). Let r(l) = 3*l - 7. Suppose 16*o - 72 = -2*o. Let q be r(o). Sort n, 4, q in increasing order.\nAnswer: n, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.485 + 0.005. Let v = y - 0.52. Which is the closest to -2\/7? (a) -0.01 (b) v (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, 113, 100, 73, 26?\n\"Answer: -p**3 + 2*p**2 - 4*p + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - s**4 + 2)*(14 + 17 - 2)*(-1 + 3 + 0).\nAnswer: -58*s**4 + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (((-132)\/8)\/11)\/((-6)\/40) and ((-2)\/6)\/((-3)\/18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2. Let q be y(-2). Suppose -q*x = -3*x. Find the third derivative of 0*k**4 - k**2 - k**4 + x*k**2 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.6432616 to 2 dps.\nAnswer: -51.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**3 + 8*s**2 - 7*s + 4. Let b be v(2). Let y be ((-42)\/9)\/(77\/b). Solve -5*i + 9 = -y*c, -i = c - 3 - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6 + 4*t**3 - 48*t**2 - t + 3*t - t + 46 - 5*t**3. Let b be p(-48). Do b and -8 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-27) - 5\/(-45))\/(-1). Solve -14*k = -v*k + 56 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 17*t**3 - 4*t - 16. Let z(j) = 17*j**3 - 3*j - 15. Let w(d) = 3*b(d) - 4*z(d). What is the derivative of w(s) wrt s?\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 2 - 4 + 5. Let h(m) = -6*m + 5. Let i(d) = -h(d) - 5*q(d). Let n(l) = 2*l**2 - 12. Let s(g) = -1. Let a(p) = -n(p) + 12*s(p). Calculate i(a(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -4872, 22, -1 in descending order.\nAnswer: 22, -1, -3, -9, -4872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 + c. Let s(v) = -5*v**2 - 29*v - 2. Determine s(b) - 5*u(b).\nAnswer: 5*b**2 - 34*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129370 + -7?\nAnswer: -129377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-88)\/(-12))\/(-12*15\/(-270))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4176 and 25\/16992?\nAnswer: 492768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = 194*y - 8828475. What are the prime factors of y?\nAnswer: 5, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -0.1 (b) -1 (c) -1.4 (d) -3\/10 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/23 in -0.3, 1\/3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2204 divided by -107\nAnswer: 2204\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/375 and 121\/750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -6\/5, -1\/10, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*u*w + g**3*u + g**3*w + 3*g*u*w + 100*g*u wrt w.\nAnswer: -2*g**3*u + g**3 + 3*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07662444 to three decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241109647 is divided by 1369.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*y = y + 36, 0 = 4*n + y - 57. Suppose -1510 = 13*f - n*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40333 (base 5) to base 10.\nAnswer: -2593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 18.956. Let q = 61.444 - p. Let x = q + -28. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178 - (2\/(-1) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8472809.15183 - -8472849. Let n = -5.16363 - u. Let a = n - -45. What is a rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867*z = 858*z + 72 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4713498 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i. Let d(l) = -3*l**3 - 12*l**2 - 9*l. Let b(r) = -d(r) + 6*x(r). Suppose b(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 6 = 5*s. Is s less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 543.\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 13*f + 8*f - 3546, -1760 = -p - 4*f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 - 49*o**2 - 8*o - 163. Calculate a(-8).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*c + 7, c + 0*l + 6 = 3*l. Let i be 2\/c*(-7 + -2). Let r(u) = 4*u - i*u + 3*u. Let a(t) = -17*t**2. Give a(r(q)).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34337 take away 5.0951822913?\nAnswer: -5.4385522913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 2:18 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 + v + 6. Let u be i(-2). Suppose u = -5*r + 4*c + 8 - 3, 5*r + 4*c - 45 = 0. Sort r, -5, 31 in decreasing order.\nAnswer: 31, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b = -428 - 122 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 870\/66 - 4\/(-22). Suppose -5*o = 3*r + 145, -4*o + 0*r - 148 = -4*r. Let n = l - o. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -s + 4201 - 129, 0 = c + 5*s - 800. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1842200372 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5) + ((-5)\/50)\/((-6)\/72). Which is bigger: n or -45\/304?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41851031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from {b: 5, q: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r*y - 507*r + 4*y**2 - 70*y wrt y.\nAnswer: -2*r + 8*y - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.6 + 0.6. What is the closest to d in -0.1, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01, 1420.2, -0.8, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/5 + m**4\/6 + 27*m**2 - 117*m - 2. Find the third derivative of v(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.21501 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -3, 233 in decreasing order.\nAnswer: 233, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + -3*(-6)\/(-9). Let c = v - 7. Solve 0*m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 25*j + 22*j = -4039, -3*j = -2*g + 8060. List the prime factors of g.\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23099160 divided by 137495?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 - 6*t**2 - 2*t**2)*(-5*t - 4*t + t) - 4767 + 4767 + 210*t**3 to the form y*t**2 + h*t**3 + q*t + a and give h.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:42 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.225 - -0.325. Which is the nearest to g? (a) 2\/3 (b) -43 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4490*x = 4505*x - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 390, 0.\nAnswer: -6, -5, 0, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**4 - 472*i**3 - 924*i**2 + 472*i + 928 = 0.\nAnswer: -116, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*d - 8*d**2 + 106*d - 11*d**2 - 51*d + 27*d**2 - 8*d**2 - 20*d**3.\nAnswer: -20*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31308129.\nAnswer: 3, 23, 151247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1.3. Let f = 3.9 - -0.1. Let x = 4.2 - f. Sort r, x, -4 in ascending order.\nAnswer: -4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867859 and 1789400?\nAnswer: 8947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 + -37 + 1*418 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 8 (c) -2432\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.37 - 14.63. Let r = f - -15.064. Let a = -0.0640069 + r. Round a to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20930 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21565 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let g(a) = 17226*a + 264. Let j(t) = 650*t + 10. Let d(q) = 5*g(q) - 132*j(q). Determine d(m(b)).\nAnswer: 330*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*i + 28*i + 262*i + 291*i + 5*i in the form n*i + k and give n.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 12. Suppose -c - v*c = -10. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56195.\nAnswer: 5, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206171334 by 9.\nAnswer: 22907926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1994.2617799 - 3733.2619112. Let w = -1739 - a. What is w rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 3*f - 1. Let s be i(3). Let q = s + 3. Suppose -3*d + q = d. Solve -d*c - 5*t - 5 = 0, 2*t + 18 = 3*c + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 7:54 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 305652 (base 7) in base 12?\nAnswer: 26443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/127 (b) -3\/11 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81.4633ml?\nAnswer: 0.0814633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -10*l - 4116. Let u = l - -518. What is the remainder when u is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.912 - 0.612. Which is the nearest to o? (a) -1\/9 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + (-6 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j + 45*j = -3*y - 3, 5*y = 3*j + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 88365 and 23.955?\nAnswer: 88341.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8094, 15852, 23116, 29640, 35178, 39484, 42312?\nAnswer: 43416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1686*j - 23727 - 37326 + 5415 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -495 - -669. What is the third derivative of 26*a - n*a**5 + 44*a**2 - 26*a - 148*a**2 - 47*a**2 wrt a?\nAnswer: -10440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = 77 - 462 - 63 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**2 + 3*i + 1. Let v(h) = h**2 - 9*h + 10. Let y be v(8). Suppose 2*o + y = -0*j + 2*j, j = 4*o + 7. What is b(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -7*c. Let a be c*-30*(13 + -1 + 1). Let f be ((-6)\/(-15))\/(3\/a). Which is bigger: f or -53?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-22)\/(-10) - 1)\/(3\/680)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/(h*h**(-1\/3)*h)))\/h)**30)**(1\/39) assuming h is positive.\nAnswer: h**(-10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2604 and 5680521?\nAnswer: 704384604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7*y. Suppose y = -7*s + 2*s - 3*w + 20, 4*s + 2*w - 16 = 0. Let h(a) = -a + 4. Let r(n) = 1. Calculate s*r(t) - h(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 138. Calculate the lowest common multiple of c and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 + 8*s**2 + 8*s**2. Let i(p) be the third derivative of -p**4\/24 + 8*p**2 + 1. Determine i(d(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21446258063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {s: 1, z: 2, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11758749 - -8371251. Round n to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1456 + 2769. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/3 + 6802*z\/3 + 13600\/3 = 0. Calculate z.\nAnswer: -6800, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 115 = 535. Calculate the remainder when v is divided by (209\/9 - 0) + 230\/(-1035).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*k**2*o*t + 27*k**2*o + 18*k*o*t - 126400*o*x + 793523*t*x + 4*x - 2 wrt t?\nAnswer: -10*k**2*o + 18*k*o + 793523*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 453580 by 113395.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639.466*0.5.\nAnswer: 319.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c + 2*c**3 + 39*c + c**3 - 23*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8903.909 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*n + 45, 4*y = -5*n + 15 + 21. Suppose -5*r + y = -2*r. What is the greatest common factor of 27 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68401478*p**4 + 2*p**3 - 73834*p - 3 wrt p?\nAnswer: -820817736*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17256685 (base 9) to base 14.\nAnswer: 1215808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -58. Let n = y + -10. List the prime factors of 3 + -2 + 1 + n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3690700 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 1:32 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473916 is divided by 553.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-24) - ((-9)\/12 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 68*l**2 - 62. Determine y(-34).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -410 (b) -4\/3 (c) 1\/2 (d) 0.31 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124625507 to the power of 1\/2, to the nearest integer?\nAnswer: 11164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 366?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-6 - 1) + 3. Solve -f + 1 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234183, 220771, 207361, 193953?\nAnswer: 180547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 10*u**2 + 4*u + 9. What is p(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -329 - -470. Let i be (-5 - -13)\/(394\/9259). What is the highest common divisor of i and t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 29 (b) -2\/15 (c) -5 (d) -2 (e) -2\/22909 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 3*o**2 - 2*o**2)*(-4*o**2 - o**2 + 6*o**2) - 2016157*o + 2016157*o - 5231*o**4.\nAnswer: -5233*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1988 divided by -28.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0*d*d)**16)**34\/(((d\/(d*(d\/(d*d**0))\/d))\/d)**(-46))**(-31) assuming d is positive.\nAnswer: d**1632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 - u. Let z(p) = -2*p**3 + 5*p**2 + 3*p + 4. What is -5*r(k) - z(k)?\nAnswer: -3*k**3 + 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -221132 and -220949 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 84. Is i(6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d*d\/d**(-18)*d)*d*d)\/d)*d)**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 70.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t**2 - 11. Let m(a) = a**2 + 1. Let d(f) = 22*m(f) + 2*u(f). Let v(r) = -4*r**2. What is d(v(c))?\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6993, -14033, -21073, -28113, -35153, -42193?\nAnswer: -49233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 - 2*k - 2. Let u(b) = 8*b**2 - 3*b - 3. Let m(g) = -3*q(g) + 2*u(g). Let v(p) be the second derivative of p**3\/6 + 35*p. Calculate m(v(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (-5 + 1*sqrt(176)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - l**2 - 9*l - 11. Let h be q(-2). Put h, 3, -1\/4, 4 in descending order.\nAnswer: 4, 3, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*((-98)\/(-7))\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*s**3 + 24*s**3 + 19*s**3 - 86*s**3 - 37*s**3.\nAnswer: -134*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10498642201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -766 + 764.01. What is the nearest to -2\/5 in a, -0.3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/(((m*m**(-16))\/m)\/m))\/(((m**14\/m)\/m)\/(m**(1\/4)*m)) assuming m is positive.\nAnswer: m**(183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rududdsssudusda. What is prob of picking 1 s and 2 u?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -5, -8, -9?\n\"Answer: a**2 - 8*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21267 - -382679\/18. Find the common denominator of i and -31\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 + -217. Is 63825\/35 - 20\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 834\/17 + 275\/(-4675). Let p(h) = 31*h - 2. Let s be p(3). Calculate the greatest common divisor of s and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3267*h**2 + 3*h - 6. Let t be f(2). What is the derivative of t*p - p**2 + 16 - 13071*p + 3*p**2 wrt p?\nAnswer: 4*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -14) + 5\/5. Solve -l = s*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5650781.\nAnswer: 5650781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21415137 and 90.\nAnswer: 642454110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/2, -1\/10, 0.5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 13 - (6\/1 + -3). Suppose 12*w = f*w + 740. Let p = -198 - w. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -915 - -914.95769. What is r rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(84)\/(sqrt(12)*-2)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -10) + (45 + -6 + -18 - 5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.161 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 6*m + 8 + m - 6*m**2. Let k(t) = 0*t**2 - t + 5 - 4*t - 4*t**2. Suppose -3*v = -5*h + 10, h - 7*v + 15 = -3*v. Give h*d(j) - 8*k(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 27 - (-2 + (39 - 3) + -1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109980.6298 rounded to the nearest 100?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**2\/g*g*g)*g*g)\/(g\/(g\/g**6)*g))\/(g*g**(1\/4)*g)**19)\/((g*g**(-6))\/((g\/g**5*g)\/g)*g**(1\/2)*g**(2\/3)) assuming g is positive.\nAnswer: g**(-599\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2026904 and 280984?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1250000 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31909527 and 5661?\nAnswer: 1180652499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2 + 23025*b - 23030 = 0. Calculate b.\nAnswer: -4606, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -907*w - 899. Calculate o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 13*w = -280. Suppose 4*u - w = -3*u. Solve 4*l + u = 2*d, 0*d - 2 = 3*l + 4*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7691.5073 rounded to the nearest 10?\nAnswer: -7690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2490161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001588748 to 7 dps.\nAnswer: -0.0001589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2148*n**3 - 2*n**2 - 259*n + 25. Let b(t) = 3223*t**3 + 4*t**2 + 388*t - 35. Let g(i) = 5*b(i) + 7*k(i). What is the third derivative of g(a) wrt a?\nAnswer: 6474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 6*x - 9. Let w be t(2). What is the remainder when 14 is divided by w\/((-4 - 0)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72280 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112212030 - -11?\nAnswer: 112212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**4 + 3*o**2. Suppose -g = -2*g + 3. Let n(p) = 13*p**4 + 5*p**2 - p. Let q(u) = g*n(u) - 5*v(u). What is the second derivative of q(s) wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 16. Let p(n) = -n**2 - 4*n - 9. Let x be p(-4). Let y = x - l. Which is smaller: -10 or y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*o**(3\/4)*o)))\/o)**50 assuming o is positive.\nAnswer: o**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from ooohhohohhohohoooohh?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -7) + 13 + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrzrz. What is prob of picking 2 r and 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -b + 4, 3*b - 2*b - 4*c = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 + 35392*r = 0. What is r?\nAnswer: 0, 35392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.17441 micrometers?\nAnswer: 0.00717441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51656, 103241, 154728, 206117, 257408, 308601?\n\"Answer: -49*f**2 + 51732*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r + 7631*r**2 - 13098 + 13098 - 15*r to b + c*r + h*r**2 and give h.\nAnswer: 7631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 4*g**2 + g**3 + g**3 + 11*g**2 - 1 - g. Is 24 a factor of z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 4*p**2 - 4*p**2)*(2 + 2 - 6 + (-1 - 4 + 2)*(1 - 5 + 2))*(-49 + 70 + 22).\nAnswer: -172*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 0.2 (c) 57.7 (d) -1 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.07, 0.3, -56, 5, 4\/5 in descending order.\nAnswer: 5, 4\/5, 0.3, -0.07, -0.7, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auu when three letters picked without replacement from auaaaauaaaaa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:53 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 + -10 - (-1 - 5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*m**3 - 94*m**3 + 306*m**3 - 112*m**3 - 237.\nAnswer: -2*m**3 - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 160497839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.2. Let b = 0.8 - 9.8. Let p = b - -5. Is d at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -115 (b) -4 (c) -9\/4 (d) -2\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 444*j + 5974. What is x(-18)?\nAnswer: -2018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 399. What is the greatest common factor of y and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 15. Suppose 6*x + 3 = -9. Let v = x + 16. Calculate o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfefcffcfectkeezzce. What is prob of picking 2 e and 2 c?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-10)\/(-4) - (10 + -7)). Let u(v) = 72 + 3*v + 34 + 4*v**2 - 3*v**c. What is the hundreds digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238312, 238238, 238150, 238048, 237932?\nAnswer: 237802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1977, -3550, -5133, -6732, -8353, -10002, -11685, -13408?\n\"Answer: -n**3 + n**2 - 1569*n - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 2*w - 1. Let u be o(1). Let j = u + 1. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 8. Suppose -16 = 4*r - 2*a, 31 = -3*r + c*a + 5. What are the prime factors of ((-9)\/r)\/(8\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 68317?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 3. Give r(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2262, 6\/833, -6\/29 in ascending order.\nAnswer: -6\/29, 6\/833, 2262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19)*-1 - sqrt(19)) + 4 + sqrt(19))**2 - sqrt(19)) + sqrt(19) + 3 - ((sqrt(76)\/sqrt(4))**2 + 1 + (sqrt(152)\/sqrt(200))**2).\nAnswer: -8*sqrt(19) + 431\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17693872 is divided by 12887.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24337349.\nAnswer: 24337349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 + 7*c**2 + 6*c + 8. Determine r(-4).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 118 - 6 = 0. Let i be 75\/6 + (-2)\/o. Solve -i*w - 4 - 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885212009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -5, -8, 3\/4.\nAnswer: -46, -8, -5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 615*l. Let u(h) = 1. Let w(s) = -s - 1. Let a(y) = 2*u(y) + 2*w(y). Give a(m(r)).\nAnswer: -1230*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Factor 2*x**4 - 5*x**i + x - x**4 + 3*x**2 + x**5 - 2*x**3 + 1.\nAnswer: (x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2346*h = 2350*h - 6, 8 = 3*z + h. Factor 0 + 2*s**3 + 0*s + 5\/2*s**z - 1\/2*s**4.\nAnswer: -s**2*(s - 5)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Suppose 0 = -n*f + f + 6. Let h(y) = f*y - 2*y - y + y. Give h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h - 1. Let c(l) = -4*l - 5. Let z be c(-6). Suppose -4*q - 20 = -4*p, 0*p + z = 3*p + q. Let s(b) = 8*b**2 + 3*b - 6. Determine p*r(w) - s(w).\nAnswer: -2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + m**4)*(-3*m + 0*m + 4*m)*(-18 - 5 - 3).\nAnswer: -26*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = 3*m + 208 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*j + 2958 = 11915 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -224 - -238. Suppose 19*f = l*f - 5*i + 2430, -3*i - 1458 = -3*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 9*n - 9. Let k be s(6). Let f(t) = 8 + 2*t**2 + 2*t - t - k. Give f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(363) - (-1 + sqrt(363)))*6 + -3 + sqrt(363) + 1)*-1 + 5)**2*2.\nAnswer: -264*sqrt(3) + 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318775069 to the nearest integer?\nAnswer: 17854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17734 or -17733?\nAnswer: -17733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094685 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(i**2 + 225*i**4 - 14568*i + 14568*i).\nAnswer: -675*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8623 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -10\/3, 3, 175, -415.\nAnswer: -415, -10\/3, 1\/4, 3, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3026 divided by -17.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 2a9?\nAnswer: 2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 1466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110 - 36?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2166500573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 23 - (-5 + 0 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -24*r**3 - 108964*r**2 - 24786160*r - 4128000 = 0.\nAnswer: -4300, -240, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(-4)))*s**(-7)*s**(2\/9)*s**7\/s)\/(s\/(s**0*s)*s**(-3)*s**(-1\/2)*s\/((s*s\/s**(-2\/13))\/s)*s*s) assuming s is positive.\nAnswer: s**(1375\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -12, -49\/5, -0.05, 0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*j - 5 - 6, 4*d = 5*j + 14. Let p be (1\/1)\/(7\/j). Let i = 0.37 - 0.07. Which is the nearest to p? (a) i (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 20\/36)\/((-1)\/3). What is the second smallest value in p, 2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 - 1 + (1 - 1 - 1)*(1 - 2 + 3) - 2 + 6 - 1)*(4*x + 257 - 127 - 38).\nAnswer: -24*x - 552","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + 13. Let j = -159\/5 + h. Which is the third biggest value? (a) j (b) -0.05 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1963389*i**3 - 15*i**2 - 24*i + 60 wrt i?\nAnswer: 11780334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*r + 34 = 185*r + 4*w, -3*r - 6*w + 78 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 7*n**2 - 4*n - 11. Let d be v(5). Find the first derivative of -341*b**2 + 341*b**2 + d + 106*b**3 wrt b.\nAnswer: 318*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w + 7*w + 6*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3385*h - 1132*h - 1133*h - 1125*h. Let s(c) be the second derivative of -c**3\/2 + c. Give a(s(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0*1871\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24585, -49167, -73749?\nAnswer: -98331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 157*j + 0*j**5 + 159*j - 3 + (4*j - j - 5*j)*(8 - 8 - 7*j**4).\nAnswer: 15*j**5 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636*377266.\nAnswer: -239941176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Differentiate q + i**3 - 1 + 2*i**3 with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5291412 divided by 377958\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, 0.1, 0 in ascending order.\nAnswer: -3.3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/2)\/(((-36)\/207)\/(-4)). Let c(a) = a**3 - 5*a**2 + 5*a + 1. Let m = 0 - -4. Let o be c(m). Solve -o*x + k = -2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 37*w + 11*w - 35*w)*(-5*w - w - 7*w) in the form p*w**2 + v*w + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. What is the closest to m in 0.5, -2\/7, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*d - 9, -15 = d - 0*y + 5*y. Suppose d = -0*l + 2*l - 6. What is the remainder when (-2 - (-189)\/l)\/1 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-3)))\/k)**(3\/5)\/(k**(7\/2)*k*k**(-1\/20)) assuming k is positive.\nAnswer: k**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, -4\/3, -2\/475?\nAnswer: -2\/475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let x = -411 - -403. What is the third biggest value in x, -0.5, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 476, -5, 5.7, 0.5?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001010011110 - -111?\nAnswer: 10001001010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + -41 + (1458 - 1488 - (3 + -1))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1.4, -4 in decreasing order.\nAnswer: 2, 1.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249 (base 12) to base 13.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/84)\/(2\/(-7))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrgf when four letters picked without replacement from {r: 1, n: 3, s: 3, g: 1, j: 4, f: 5}?\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 253502068211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0423301 rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p - 2925 = 0. Let k = -438 - p. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(120\/(-22)) - (-26652)\/33315) + 165\/(-4)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 120.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -439.728 take away 3.129?\nAnswer: -442.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*m = -10, p - 2*m = -p - 12. Let i = p + 5. Solve 4*n + 13 = w - 2*w, -n = -i*w + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 10}. Give prob of sequence jddj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 28080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8965 and -0.31.\nAnswer: 0.277915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 0 - (-7 + 40). Let h = 64 + x. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 2*h**2 + h - 2. Let l be y(0). Let x = -0.429 - -0.44. Let g = x - -1.989. What is the closest to l in -5, g, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lml when three letters picked without replacement from llllmlllllml.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 8*v + 7. Let b be x(-5). Let j = b + 2. Let t be (-4 - (-28)\/8)*j. Solve 0 = -i - 5*r - 19, 13 = 5*i - t*r + r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (441 - 1145 - 2250)*(-3 + 1 + 1 - 3*h) + 2*h - 5 + 5 in the form y*h + n and give y.\nAnswer: 8864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -41068 divided by -1\nAnswer: 41068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(1\/9)*c)*c*c**(-4\/9)*c*((c*c**(2\/3)*c)\/c)**(2\/7) assuming c is positive.\nAnswer: c**(121\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-36)*(i**0)**(-1\/76) assuming i is positive.\nAnswer: i**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)*v)\/v*v\/v**4)\/(v**(-2)\/((v\/(v**(2\/13)*v))\/v)) assuming v is positive.\nAnswer: v**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 16*f**2. Let u(g) = -66 - 64*g + 70 + 59*g. Give u(j(k)).\nAnswer: -80*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247411.\nAnswer: 11, 151, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y + 3*y**2 - 7*y)*(0 - 3 + 5)*(70*y - 13*y - 37*y).\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118286 and 48.4.\nAnswer: 5725042.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 3) + -247*1. Let x be (2\/8)\/(w\/(-60) + -4). Solve -x*y + 15 = -5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2098 + -3?\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 70*r. Let i(q) = 11*q**2 - 23*q**2 + 7*q**2 + q**2. Determine g(i(j)).\nAnswer: -280*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2 + 97*a + 13 - 94*a + 29 to o*a + s and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3983*a**6*m**3*t - 5*a**3*m**3 - 426*a**2*m**2*t - 3*a**2*m**2 - 2*a*m**3*t - m**2*t + 11*m*t wrt a.\nAnswer: 477960*a**3*m**3*t - 30*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -34. Let m = a - -29. What is the third smallest value in -5, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404686 to the power of 1\/2, to the nearest integer?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0*y - 2*y**2 + 11*y**3 + y + 0*y**2. Let v be s(1). Suppose n - 5 = 0, -w = 4*w + n - v. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1044 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*d + 5*d + 30, -3*z - 4*d - 14 = 0. Let c = z + 14. Calculate the remainder when 19 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3*q**5\/5 - 5*q**4\/3 - 13*q**3\/9 - q**2\/3 + 126. Find z such that j(z) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 9985 = 9673. What is the remainder when 11 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Let n be (-2)\/u - (-7)\/(-14). What is the nearest to -0.1 in -2\/15, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 - 3*v - 5. Let g be m(4). Suppose -2*s = 3*r - 0*s - 143, 0 = 3*s + g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 137. Let t be m(47). What are the prime factors of ((-3 - -4) + -168)*(t - 1)?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -22*s + 746. Determine k(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1 + (2 + 2 - 2)*(0 + 2 - 3) - 5 + 5 + 1)*(6*j**2 + 36 - 36) + 22 - 48 + 27 - 60*j**2 as d*j + y*j**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*v - 283*v + 9204 - 9204 in the form u + t*v and give t.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 + 570 - 570 + 22*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 9*q - 23. Let r be t(12). Let o(j) = 3*j**3 - 37*j**2 - 26*j + 4. Let u be o(r). Solve 3*w - 11 = -3*n - w, -u*n + 14 = 5*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41\/132 - -2\/33. Let p = -3 - -8. Suppose -3*w = -0*w - 3. Which is the nearest to w? (a) 1\/5 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6579.85 weeks to nanoseconds.\nAnswer: 3979493280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-16) - (-18)\/8. Let i be (-1)\/1*1*-2. What is the first derivative of 0 + l - i*p**4 - p**2 + p**2 wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.08 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 32. Suppose 0 = n*v - 10*v - 100. Let m = v - 24. Which is the nearest to m? (a) -0.1 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265074?\nAnswer: 2, 3, 44179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13286758 to five decimal places.\nAnswer: -0.13287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1497156 + 38379\nAnswer: -1458777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1132687327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*i + 3*i + 3*i + (0*i + 2*i - 4*i)*(-4 + 1 + 1))*(79262*i + 14*i**2 - 79262*i + 6) as w*i**2 + g + s*i**3 + n*i and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -de (base 15) to base 8\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31190, 0.06, 12.69 in decreasing order.\nAnswer: 31190, 12.69, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.5999\nAnswer: -2.3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i - 5*i = -700, -2*i + 0*i = n - i - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 16 = -0*x, -4*x = -5*f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2160433735 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18203330 is divided by 9101663?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17 - 7 = -2*f, -2*f + 36 = 4*r. Let l(a) = -a - 7. Let c be l(-7). Suppose -4*i + 4*z + 44 = c, 5*z - f = 3*z. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-6\/11)*w))\/w)**(5\/11)\/(((w\/(w**4\/w))\/w)\/(w*w\/((w\/(w**5*w))\/w)*w)) assuming w is positive.\nAnswer: w**(1372\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwxh when four letters picked without replacement from {z: 1, w: 5, x: 1, h: 5}?\nAnswer: 5\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 8. Let n be a(11). Solve -2*t + n = -7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 - 21*u + 5. Let z be s(-7). Let a = z + 97. What is the remainder when 17 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n + 2*n)*(4*n + n**3 - 4*n) + 3*n**5 + 0*n**5 - 4*n**5 + n**5 + n**5 + n**5 - 9*n**5 - 4*n**5 + 4*n**5 - 281*n**4 + 8*n + 281*n**4 - n**5.\nAnswer: -6*n**5 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48403, 193574, 435513, 774208, 1209647, 1741818?\nAnswer: 2370709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 1.7. Let m = -12 - -14. Which is the smallest value? (a) -5 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -344 (c) -8 (d) -5\/6 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-381)\/((((-200)\/110)\/10)\/(22\/(-363)))?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than or equal to -1152357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*f + 166, 3*t + 3*f - 141 = 111. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 440 = 0. Let n = -129 + x. Which is bigger: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30292960, 30292961, 30292962, 30292963?\n\"Answer: j + 30292959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 2*c**3 + 6*c**3 - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 489\/139711 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -80. Let w = -0.07 + 4.07. Which is the nearest to -2\/3? (a) f (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286 - 286 - 638*m to y + k*m and give k.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*h - 10, 2*h + 9 + 2 = -q. Let l be (-2)\/(2\/3*q). Calculate the greatest common factor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -357*r - 1211. Is 7 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2707802 + 4?\nAnswer: 2707806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(-9*k + 5*k + 60*k + (0*k + 2*k - 3*k)*(-1 + 1 - 2)) to the form h + z*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/66 and -109\/69174?\nAnswer: 760914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let l(f) = 2*f**2 - 134. Give o(l(v)).\nAnswer: -4*v**4 + 536*v**2 - 17956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3714051, 7428098, 11142147, 14856198, 18570251, 22284306?\n\"Answer: o**2 + 3714044*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20*f + 150 = 0. Let n be (11 - f)\/(1\/42). What is the greatest common factor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 77*u**2 - 112)*(1 + 1 - 4)*(-3*u**2 + 13*u**2 - 4*u**2).\nAnswer: 924*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 + 0 = -3*y, -12 = 4*y. Suppose c = -c + x. Let t = -3967 + 3965. What is the closest to t in 0.5, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10*w + 2832 = 0. Which is bigger: w or 945\/4?\nAnswer: 945\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, 3, -0.4, 389?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 164.3.\nAnswer: 2464.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/11159 - -613781\/200862. What is the common denominator of l and (-6)\/(-27) - 397\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6586 + 6585.74516. What is c rounded to three dps?\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 912 by -228.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*v**2 - 75.\nAnswer: -64*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1823.27917 and 228.8066.\nAnswer: 2052.08577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -297 (b) -0.2 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116.976 + -0.024. Let u = -137184085.97 - -137184202.97000177. Let q = u + m. What is q rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20677 - 20674. Let u(t) be the first derivative of 0*t + 15*t**2 + 27\/4*t**4 + 0*t**y + 11. Find the second derivative of u(p) wrt p.\nAnswer: 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 100708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1*(-6)\/(-15)). Let l be d\/10 + 10\/12. Let j = -141 - -140.8. Which is the nearest to j? (a) l (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10030148 to the power of 1\/2, to the nearest integer?\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21572219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(150))\/sqrt(2) + -6*(sqrt(3)*-2 + -2))*-2 + -3.\nAnswer: -27 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 77580*h + 775500.\nAnswer: 3*(h + 10)*(h + 25850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464049, 1856210, 4176481, 7424862?\nAnswer: 11601353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 0.1. Let m be (-3)\/(-4)*24\/99. Let r = -38 + 36. Which is the smallest value? (a) o (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 9 - 62*m - 66*m + 127*m.\nAnswer: -m + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12368.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 134?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*184\/1380*(-20)\/12*-77.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t - 18. Let q be -1 + ((-85)\/20 - -5)*(13 - -7). Let x(c) = 3*c - 6. Calculate q*x(l) - 4*g(l).\nAnswer: 2*l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 790, 1, -174, 5 in decreasing order.\nAnswer: 790, 5, 1, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*179.8\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = 282. Suppose a - 10 - j = 5*y, 4*y + 4*a = -64. Calculate the remainder when (-6)\/(-15) + (-452)\/y is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17905479 and 1230.\nAnswer: 179054790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let i(s) be the first derivative of s**5\/60 - 5*s**2\/2 + 8. Let f(z) be the second derivative of i(z). Give v(f(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 162 or 109?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68995311 is divided by 5892?\nAnswer: 5883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -4 (c) -0.2 (d) -763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 24 = z. Is z at most 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100971 is divided by 50484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 5084 times -0.3\nAnswer: -1525.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 35554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34376, -34338, -34276, -34190, -34080, -33946, -33788?\nAnswer: -33606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 36) + (6 - -9) + 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-12) + 8103\/666 - 18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-108)\/(-8) - (-3)\/(-6). Let d be 4 + (4*-1 - -2). Suppose 3*k + d + u = 0. Round k to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 40.034. Let l = 5.676 + -9.71. Let f = z - l. What is the biggest value in 0.1, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/132 or -0.3?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 + 2591690*k**3 + 335858402585*k**2 + 4030020932820*k + 12089782902420 = 0. Calculate k.\nAnswer: -259163, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + ((-170)\/20 - -7). Let q = 4 - 4.4. Which is the nearest to 0.2? (a) -5 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302.572 - 302. What is w rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*p**5 + 11*p**3*r**2 - 6*p**2 - 2*p*r - 5*r**2 wrt p?\nAnswer: -780*p**2 + 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 181 + -2?\nAnswer: 17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 6:09 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -44, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21784852 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.82 * 5.\nAnswer: -94.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 78.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 18380, -7\/17?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 9*b + 20. Calculate the least common multiple of u(-2) and (-71)\/(-7) - (-7)\/(-49).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*p - 141912 - 100292 = 2901*p - 53064 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -579 + 624. Let f be -8 - (-546)\/v - 4. Put f, 0.4, -23 in decreasing order.\nAnswer: 0.4, f, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117672742.\nAnswer: 2, 11, 17, 28603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 11*s**2 - 505*s + 6173. Calculate x(20).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*p**2 + (-p - 2*p + 0*p)*(7*p - 3*p - 3*p))*(21*p + 169 + 20*p - 168) in the form x*p + a + t*p**3 + c*p**2 and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 252*s + 1403*s - 153*s as y + h*s and give h.\nAnswer: 1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13053 - 3*n**3 - 10*n**2 + 103*n**2 - 13146 + 3*n.\nAnswer: -3*(n - 31)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:59 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 559052254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 52 - 30) + -63 + 138?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50937 from -1.3.\nAnswer: 50935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/10 + 0 + (-3)\/6. Let d be (-185005)\/(-5) + (i - -3). What is d rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2415918766 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228205, -228203, -228201, -228199?\nAnswer: -228197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(2940\/(-224))*10\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113131914097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -176435 + -322.6?\nAnswer: -176757.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 13. Let i = 22 + -15. Let n be z(i). Let c(a) = -a**3 + 5*a + 6. Let t be c(n). Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + n - 410 - 86 = -n - 82, 36 = j - 2*n for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04052 to three dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + x**2 + 16*x + 7. Calculate s(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 - h**2)*(-2*h + 1 - 1)*(2*h - 21 + 21).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 121*n - 33*n - 30*n - 27*n - 32*n. Let g(y) = 3*y. Calculate d(g(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 488 - 55*v**2 - 488 + (2*v - 3*v + 0*v)*(1 + 2*v - 1).\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1783 - -1784. Solve -4*u + 0*b = 3*b - v, -u = 5*b + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (81\/(-243))\/(12\/9). Which is the smallest value? (a) 11.86 (b) 3\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 628 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from ltvvkkvvvkvvtvtttt?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - 4*b)*(0 + b**2 + 0) + 5*b**2 - 5*b**2 - 3*b**3 + 2838*b**2 - 1 - 2836*b**2 + b + 0*b + 6*b**3.\nAnswer: b**3 + 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 16*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/64)\/((-19)\/(-760))*((-24)\/10)\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 3*v - 5*y, -5*y - 69 = -v - 3*y. Suppose h + 25 = v. What is the remainder when h is divided by 40\/1*2\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.22*-304\nAnswer: 370.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-4*u + 4*u - u)*(3 + 8 - 2).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002447 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3281163 rounded to the nearest 10000?\nAnswer: -3280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/2 - 47*a**2\/2 - 88*a - 86 = 0. What is a?\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 <= 1824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8390, -16779, -25168, -33557, -41946?\nAnswer: -50335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-825)\/(-22) + (-2)\/4. Let b = 9 - -3. Suppose k - r + b = 0. Calculate the common denominator of k and 2\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2920)\/32)\/73*(-8)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*s - 226*s - 182 - 145 = -44*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -b6?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5591088 rounded to three dps?\nAnswer: 3.559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7008.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29064 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15747 divided by 543\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 8*g**2 - 7*g - 57. Let b be s(-8). Suppose 2 = 2*n - 2. Sort b, 5, 1, n in descending order.\nAnswer: 5, n, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**22)**34*((p\/(((p\/p**2)\/p)\/p)*p)\/((p\/(p*p\/(p**(3\/2)*p)*p)*p)\/p))**(1\/15) assuming p is positive.\nAnswer: p**(-14957\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 172\/12 + (-2)\/(-3). Let x be (10\/3)\/(10\/r). What is the second derivative of 28*v**5 + 22*v**5 + 5*v - 59*v**x wrt v?\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 11, 12.629?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -1342, -2852, -4922?\nAnswer: -7552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5279 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8336162 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/3 - (8 + -13). Solve z = 5*m - 41*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 2*i**3 + 1 - 3*i**3 + 3. Let o(c) = 3*c**3 + c**2 - 5*c - 9. Let m = -914235 - -914230. Determine m*w(q) - 2*o(q).\nAnswer: -q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 14*f**2 + 3*f + 12. List the prime factors of g(-11).\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-1)\/20)\/((8\/((-38)\/19))\/6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4241 + -3409. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*r - 325, -5*k + 252 = -2*k - 5*r. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50505, 48879, 47253, 45627, 44001, 42375?\nAnswer: 40749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 385*d**2 + 5*d - 385.\nAnswer: -5*(d - 77)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 400.5503552 to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = -2, -2*x + 4*l = -40. Calculate the remainder when x is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/540*10)\/((-1)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 11*v**2 + 9*v + 10. Let i be c(10). Suppose -2*b + b + 3 = i. Suppose 0 = -0*t - t. Solve t + b = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 9. Let u be r(0). Find the third derivative of -y**5 - 2*y**5 - 11*y**2 + u*y**2 wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 111?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.5293 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -502 + 2?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*z - 90*z + 27*z**3 + 170*z - 3.\nAnswer: 27*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1128 and 31\/4332.\nAnswer: 407208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8*a + 12. Let y(x) = x**2 - 10*x + 3. Let g be y(10). Let m(j) = -1 + 4*j**2 - 12*j**3 - 4*j**g - j**2 - 4*j + 17*j**3. Calculate m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -5096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 - 6*g + 0 - 3.\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 6. Suppose 4*f = -30 + 6. What is the units digit of m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 78*v**2 - 1133*v - 3647. Calculate i(57).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4916, 4905, 4886, 4859, 4824?\nAnswer: 4781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + sqrt(11) - (sqrt(44)\/sqrt(4) + -4))*6 + (sqrt(44)\/sqrt(4)*4 + -4)*6)**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 13. Let h be o(-8). Let x = 8 - 8.4. Which is the smallest value? (a) x (b) h (c) 2\/3 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = -0. What is the closest to -1\/4 in -0.2, z, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -991?\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -28, -41, -54, -67, -80?\n\"Answer: -13*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = 4*j + 24, 29*g = -3*j + 26*g - 36 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 430.31\nAnswer: 1721.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3335\/352 + 6773139\/1760. Let d = 3844 - t. What is the common denominator of d and -121\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzccc. Give prob of sequence zcz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.53. Let x = 7.13 - z. Let w = -5 + x. Which is the nearest to -2\/7? (a) -0.2 (b) -1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 10*u**2 - 14*u + 15. Let q be y(-8). What is the remainder when (-4)\/(q + (-46)\/(-50)) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1531 + c + 354 + c - 874.\nAnswer: 2*c - 2051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2310*z + 3033*z = 34704. Let 0 - z*b**2 + 0*b - 4\/3*b**3 = 0. Calculate b.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 34 + 4*k - 5*k - 3 to a + s*k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 5*t**2 + 529*t - 647. Is g(-61) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203096505*d**3 + 4 - 3 + 1 - 2 + 203096501*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/(43\/(-129))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h**3 - 11*h**2\/2 - 9*h - 42. Let t(k) = 3*k**2 - 6*k - 5. What is -6*j(y) + 11*t(y)?\nAnswer: -3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265014 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(19)*-2 - (2*sqrt(133)\/sqrt(7))**2.\nAnswer: -76 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = -i + 4*k, -2*k = -3*i + 8. Let g(v) = 12*v - 74. Let j(x) = 4*x - 25. Let z(r) = i*g(r) - 11*j(r). What is the derivative of z(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30990.65ns in seconds?\nAnswer: 0.00003099065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 13)*(3 - (-132)\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/882)\/(20\/70)*184\/230.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 2*o**3\/3 - 2*o. Let k(j) = 4*j**3 - j**2 + 2*j - 1. What is the lowest common multiple of m(1) and k(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*g**2 - 162*g**2 + 29*g**2.\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*y - 10 + 205 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12552 - -17118. What are the prime factors of q?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 330*l - 7. Is p(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**7\/2520 + b**6\/360 - b**5\/120 + b**4\/72 - b**3\/6 + 8*b**2. Let k(z) be the first derivative of a(z). Factor k(f).\nAnswer: -(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -340752, -339984, -339214, -338442, -337668, -336892?\n\"Answer: i**2 + 765*i - 341518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - r**4 + 3 + (-r**2 - 5*r + 5*r)*(-5*r - 31*r**2 + 5*r) + 4 + 2*r**2 - 2 + 0*r**2 - 2*r**4.\nAnswer: 28*r**4 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.52 - 9.52. Let q = d - -27. Let k = q - 17.96. Which is the second smallest value? (a) -2\/17 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 12. Let h(p) = 1492*p**2. What is h(c(m))?\nAnswer: 5968*m**2 + 71616*m + 214848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013211 - -10323?\nAnswer: -2002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224844164*l**2 - 436081504 with respect to l.\nAnswer: 449688328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 253, 858, 2039, 3988, 6897, 10958?\nAnswer: 16363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:52 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*v - a, 6 = 5*v - 2*a + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 22 - 7 + 7*z - 18. Determine m(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 2*u**2 + 2*u + 2. Let i be y(-2). Find the third derivative of -4*o**6 + 3*o**6 - 5*o**2 - 2*o**6 - 3*o**i wrt o.\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.915464l to millilitres.\nAnswer: 1915.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/120 + i**5\/6 - i**4\/6 + i**3\/6 - 18*i**2. Is 4 a factor of t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281634 is divided by 1660?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 17*n**5\/5 - n**4\/24 + 20*n**3\/3 - 462*n**2. What is the second derivative of y(l) wrt l?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*w**2 + 0*w + 0*w - 78*w**2 + 4*w**3.\nAnswer: 4*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62587333.\nAnswer: 62587333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {l: 1, g: 4, x: 2, e: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 7*n**3\/3 - 5*n**2\/2 - 18*n + 139. Suppose -8 - 4 = -2*i. Let k be g(i). What is the highest common factor of 51 and k?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + -3 + sqrt(3) + (sqrt(27) - sqrt(27)*-3) + sqrt(3).\nAnswer: -3 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -114*i + 341. Calculate x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 16 - 410*x - 7 + 422*x + 5 in the form c + r*x and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-21)*(-2 - 14\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-18)\/(-8))\/1)\/(54\/7632).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4460165685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -23213*j + 69653. Determine l(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-20))\/(-4 - 366\/(-90)). Let o = -291 - -293. Solve o = w*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (980\/42)\/14*(-9)\/40\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*j + 591*j + 3*m + 755 = 0, -3*m = -4*j + 3056. Let g = -1106 + 656. Let y = j - g. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32816300 rounded to the nearest one hundred thousand?\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 7*s + 29. Suppose 5*j = s*j + 3*g + 1566, 5 = g. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220643?\nAnswer: 17, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4221\/5 or 844?\nAnswer: 844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 + 142. What is the remainder when 83 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2294668799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - w + 3. Let g(y) = -y**2 + 2*y - 2. Let k = 701 + -698. Determine k*g(l) + 2*c(l).\nAnswer: l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 4 = 4*k, 5*k = w - 10. Calculate the smallest common multiple of w and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 14. Which is the second biggest value? (a) -0.6 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/60 - a**4\/6 - a**3\/6 - 30*a**2. Give l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 69.\nAnswer: 8\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11143, 11108, 11073, 11038, 11003?\nAnswer: 10968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12538 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408051690 to the power of 1\/3, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.29056775 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -19. Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 17*y + 64 = 0. Suppose -y*j - 19*j = 70. Let z = -46\/9 + 212\/45. Does z = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 138080 = 3*n. Suppose 2*k - 10*k = -n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 812914 divided by 7669\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 12:07 AM?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23384, 23417, 23458, 23507, 23564, 23629, 23702?\n\"Answer: 4*g**2 + 21*g + 23359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -22. Let s = 3 + -1. Suppose s*i = -3*h + 6*i - 17, -h - 4*i = -5. Which is the nearest to u? (a) -4 (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10745 is divided by 10689.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00609235 to four dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 27. Let g(f) = -2*f**2 + 980*f + 2. Determine g(v(y)).\nAnswer: -8*y**2 - 1744*y + 25004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2. Let w = 23 - 14. Suppose -3*x = -4*k - 19, -k + w = 5*x - 2*k. Determine v(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1959.3 or 506?\nAnswer: -1959.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14132937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-136)\/22 - (2 - 6)). Suppose -5*i = i - 192. Let n = 31 - i. Are n and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 15. Let t = 39569 - 39562. Solve k = -t*w - w - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-4)*(-3)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14534*b. Let w(a) = a**2. Give c(w(f)).\nAnswer: 14534*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - x = -15, 4*d + 15 = -d + 2*x. Let u = 0 - d. Differentiate r**3 + 2 + 0 + 3*r**u with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 100 = -5*i, 8*s - 4*i - 20*i = -25*i + 142 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -2233747.443?\nAnswer: 2233752.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3543.07 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 239047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) -10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4707886.\nAnswer: 2, 2353943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 163*w**5\/60 + 17*w**3\/3 + 61*w**2. What is the first derivative of z(l) wrt l?\nAnswer: 326*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.389 + 0.071. Let i = o - -0.49. Let y = -0.05 - i. What is the second smallest value in 3, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - p**3 + 10*p**4 + 2*p**2 - 22 - 5893*p + 5893*p + 2*p**4 to q*p**3 + f*p + m + i*p**2 + a*p**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v. Let t be ((-6)\/(-4))\/((-27)\/(-18)). Let y(k) be the first derivative of 4*k - k**3 - 2*k - k**2 + t - 5 + 6. Give y(f) + 2*z(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1386.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 339, 346, 339, 312, 259?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97622 + -292862\/3. What is k in 0 + 26\/9*k - c*k**2 = 0?\nAnswer: 0, 13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 50*m**3 - 3 + 11 - 8 as r*m + q*m**3 + a*m**2 + u and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54106 = -42*m + 39974. What is the highest common factor of 420 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus -1276089?\nAnswer: -1276076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 5727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnfeeeenenef. Give prob of picking 1 f, 1 e, and 1 n.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4970 divided by -5?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117933597 by 39311199.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 282*z - 8322. Give b(25).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -181*y - 535. Let g(o) = 217*o + 536. What is -5*g(q) - 6*j(q)?\nAnswer: q + 530","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - -7. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 214 + 18 = -4*y, 5*y + 4*b + 301 = 0. Let g = y - -120. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605) - ((sqrt(605)*1 - sqrt(605)) + -4)**2) - -5*(sqrt(5) - -4*(sqrt(5)*2 - sqrt(5))).\nAnswer: -16 + 47*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 10155170*s**2 - 10155165*s.\nAnswer: -5*s*(s + 1)*(s + 2031033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpl when three letters picked without replacement from {p: 3, r: 9, v: 1, l: 1}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/(-5) - (28 - 49). Let f(c) be the second derivative of 0*c**2 - w*c + 0 - 5\/6*c**3. Let z(b) = -3*b. Give z(f(o)).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from jzozofjtjjfofozzojzt?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb03 (base 14) to base 7.\nAnswer: -424203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 4 = 0. Let m be 4*(0 + 15\/j). Solve -3*t = -m, 0 = 4*h - 3*t + t + 26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:45 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {b: 6, i: 2, g: 9, t: 1, p: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 12*n**2 - 5*n**2 + (-4*n**2 + n**2 + 2*n**2)*(1 + 2 - 1).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 7*x + x + 10*x + 9.\nAnswer: 12*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l. Let p = -212 + 219. Let n(z) = -3*z - 2*z + p*z - 2 + 1. Give q(n(t)).\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 26 = -5*c. Let b = c - -24. What is the highest common divisor of b and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 1. Suppose -2*r - 6 = -o, r - 4*r - 9 = -3*o. Determine g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -359 + 376.9. Let t = s - 18. Let h = t + 4.1. Which is the nearest to -1\/6? (a) -2 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -4 - -9) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 9768.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 less than or equal to 1970738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**4\/4 + 17*z**3\/3 + 29*z**2\/2 + 10*z + 78. Let t be u(-15). What is the highest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(160)\/sqrt(8))**2 + 5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/21)*h*h**4*(h*h**(-21))**(-1\/6) assuming h is positive.\nAnswer: h**(194\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 0*q + 4*q)*(2002*q**2 - q + 3*q + 1 - 2018*q**2).\nAnswer: -128*q**3 + 16*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41751817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -f - 2*f - 50, 5*f + 11 = -2*d. Let c be (d\/(21\/24))\/2. Solve 5*s = c*j + 4, -2*s + s = 3*j - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - 5*i + 4*i)*(0*i**2 - 2 - 2*i + 3 + i**2) to the form y*i**2 + d*i + t*i**3 + g and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 143 = -2*n, -8*n + 1228 = -25*u + 511 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - 5*((sqrt(228) - (sqrt(228) + sqrt(228)*3)) + sqrt(228) + sqrt(228)) - sqrt(228) - sqrt(228))\/(2*sqrt(12)*3 + sqrt(12))*3)**2*-1.\nAnswer: -2736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 786644942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, g: 7, t: 1}. What is prob of sequence gyy?\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1065)\/20*-4 - -4. Let x be 5766\/t*(-7)\/(-2). Which is the smallest value? (a) 0.5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48.73 smaller than 25.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 3 (c) -1\/4 (d) 5 (e) 2\/11 (f) 2.26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356048 is divided by 876.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:07 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3304718 is divided by 472086?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50926 and 0.2.\nAnswer: 10185.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -5. Let q = 10 + o. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270752755?\nAnswer: 5, 7, 13, 19, 31319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 less than 615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5924 - -10955. Is 39 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 11. Let r be w(-4). Let s be ((-2)\/10 - r)\/((-63)\/630). Let a be (6\/(-48))\/((-10)\/s). What is the nearest to 0 in a, -1\/9, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 - a + 7. Let x(i) = -i**3 + 9*i**2 + 3*i - 15. Let c(d) = 2*x(d) + 5*y(d). Let h be c(-4). Suppose 15*k + 2794 = h*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7 + a**2 - 1 - 2 + 2*a + 3. Let j(o) = -o**2 - 9*o - 6. Calculate the least common multiple of j(-6) and x(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2992*f - 28288 = 1328*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 312, 315, 320, 327, 336?\n\"Answer: f**2 + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1faa (base 16) to base 14\nAnswer: 2d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 3*n**3 + 5*n**3)*(0 + 0 + 2*n) + (-2*n - 3*n + 3*n)*(-150*n**2 - 29*n**3 + 150*n**2).\nAnswer: 62*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4706*q**4 - 28554*q**3 - 58380*q**2 - 41464*q - 2544.\nAnswer: -2*(q + 2)**3*(2353*q + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35868766 a multiple of 1042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 860*l + 1002*l)*(4 - 4 - 2*l)*(4*l**2 - l**2 - l**2).\nAnswer: -568*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2572*-1094.5\nAnswer: 2815054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 + 35)*(-8)\/(-3)*(-45)\/(-210).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 25. Let h be l(-24). Let x(k) = 2*k**2 - 6*k. Let g(s) = -s**2 + s. Suppose 49*z - 43*z + 6 = 0. What is h*x(r) + z*g(r)?\nAnswer: -r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1456 and -1456 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*x + 0*x**2 - 215250*x**4 + 4 - 3*x**3 - x**2 + 215251*x**4 to i*x**2 + z + f*x + o*x**3 + v*x**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {g: 1, l: 3, w: 2, d: 1, n: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(500)*-3 + (5 + sqrt(500))*3)*-1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1, 4, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108828147 is divided by 412.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 and (1\/(-2) - 11\/(-14)) + (-52865)\/6104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*r - 5. Let p = -5 - r. Solve 1 + 2 = p*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*t - 5*t + 21, -1 = -h - t. Let s be (2\/h)\/(3\/66). Sort 5, s, 0.5 in decreasing order.\nAnswer: 5, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3594779 by -10667.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1387*d*f**5 + 47*d*f**2 + 2*d + 7*f**2 wrt f.\nAnswer: 83220*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168548706 - 315980.\nAnswer: -168864686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**4\/4 - 2*d**3\/3 + 7*d**2\/2 + 6*d - 176. Determine l(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -17*d**2 - d - 6. Let c be 2\/4*(23 - 1). Suppose 0 = -o + 2*o - c. Let g(v) = -6*v**2 - 2. Let t(x) = o*g(x) - 4*u(x). Solve t(i) = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(12\/13)*c)\/c*c**(3\/8)*(c*c**(1\/6))\/(c\/(c**(-2)\/c)) assuming c is positive.\nAnswer: c**(-479\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 124449077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 394641557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*x - 17*x**3 + 35*x**2 + 58*x + 46 + 71 + 8*x**3 + 8*x**3.\nAnswer: -(x - 39)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2406.75056 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z**3 - 13352*z + 13354*z + 25*z**3 - 91*z**3.\nAnswer: -144*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 453*q - 918.\nAnswer: 3*(q - 153)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:13 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 13728766?\nAnswer: -13728761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -330322?\nAnswer: 330331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - 1652?\nAnswer: -1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390559 is divided by 2830?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2178143 (b) 9 (c) 1\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + 3. Is (-485)\/q - 10\/12 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from nnnnnwnnwnwnnnni.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 191, 383, 575, 767, 959, 1151?\n\"Answer: 192*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 1, 3, -26, 2 in increasing order.\nAnswer: -26, -0.15, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -5*r + 0*r**2 - 19\/6*r**4 + 49\/20*r**5 + 0*r**3 + 0. What is the third derivative of q(b) wrt b?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.52257 weeks?\nAnswer: 5759250336000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 2, d: 8, e: 2}. Give prob of sequence dff.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 375 = 395 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -9. Let a(j) = -2*j + 21. Let w be a(11). List the prime factors of ((-5)\/4)\/(w\/f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936605 = 538*q + 9321*q for q.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4409*g = -4457*g + 2016. Calculate the smallest common multiple of g and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 - -229 - (18 + 45).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*w + 570 = 63*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -40*q + 682 + 244. Let k(b) = -b - 3. Let m be k(-8). Solve -c - 2*c + q = m*r, -4*r - 4*c = -16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9678 + 9698. Suppose -5*m = -554 + 64. Calculate the remainder when m is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-25 - (-64 - -36)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003533875925 to seven dps.\nAnswer: -0.0003534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aax when three letters picked without replacement from xaxa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p + 12. What is r(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 31*f**2 + 88*f - 696. Determine j(-34).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 6 - 7 + 4 + 2 - 3 + 1 + 0 + (-2 + 2 + 2)*(1 + 0 + 0) - 3 + 4 - 2 - 4 + 3 + 2)*(h + 2 - 2).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2\/21, -3\/5, -2\/39, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29\/6 + -115\/21. What is the common denominator of 63\/22 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -7470?\nAnswer: -746a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**31*a*((a**(22\/3)*a)\/a)\/a assuming a is positive.\nAnswer: a**(115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -w - 189105 - 9907, 0 = 4*w + 4*j + 795988. What is w rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k. Suppose 4*c = p - 8, -p - 5*c + k - 10 = 0. Suppose p = 4*f - r - 21, 4*f + r + r - 18 = 0. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*p**2 - 41*n**2*p + 28*n**2 - 61*n*p**2 + 21*n wrt p.\nAnswer: -2*n**2*p - 41*n**2 - 122*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592726623?\nAnswer: 3, 197575541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*x + 31, 66 = -5*u + 5*x + 76 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68808461, -68808460, -68808459, -68808458, -68808457, -68808456?\nAnswer: -68808455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2 + 4 + 78*u - 42*u - 33*u. Let g(k) = -k**2 + 1. Suppose -224 + 49 = -7*j. Let n = j - 23. Calculate n*g(h) - b(h).\nAnswer: -2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1101474, -2203145, -3304816, -4406487, -5508158?\nAnswer: -6609829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(10\/7))**(-49\/3) assuming u is positive.\nAnswer: u**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 5*t**2 - 6*t + 2. Let a be l(6). What is the third derivative of c**5 - 3*c**2 + 5*c**2 + a*c**2 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 + 10*z - 2. Let b(p) = p**3 - 7*p**2 + 6*p + 5. Let w be b(6). Let g(y) = 4*y**2 - 9*y + 1. Let a(v) = w*o(v) + 6*g(v). Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10ee (base 16) to base 11\nAnswer: -3290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, 45, 220, 465, 780?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = 3*d, 0*d - d = -c + 1. Let f be c - 305\/46*(-48)\/(-60). Is -2 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/(d\/d**(-2\/7)))\/d)\/d))**(-10\/9)*(d*d**(2\/5)\/d*d)\/(d*d*(d\/d**(-2))\/d*d*d))**(-46) assuming d is positive.\nAnswer: d**(119554\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 4*m = 4, 2*h = -4*m + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460612191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.27 - -0.63. Let w = o + -0.9. Let d = -0.5 + 2.5. What is the nearest to d in -1\/4, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z - 34*z + 8*z as y*z + g and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27 from -1.44983.\nAnswer: -28.44983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-81))\/(12\/(-27)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105235, -420298, -945403, -1680550, -2625739?\n\"Answer: -105021*b**2 - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8471770 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/150)\/((-6)\/8). Sort r, 2\/3, -0.1, -4 in ascending order.\nAnswer: -4, -0.1, r, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.323.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 233888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - (-174)\/15)*5\/3. Let o(g) = -g**3 + 5*g**2 + g + 49. Suppose -5*b + 49 = -6. What is the remainder when o(a) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17740397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181993089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -2.2.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 4 + -2*(-18)\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 8 - (-4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -3*x**5\/10 - 11*x**4\/12 + 11*x**2\/2 + 10*x - 6. Let y(j) = 4*j**2 - 1 - 5 + 2 + 2*j**3. Calculate -4*s(o) - 11*y(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from gngfggn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + 2*t**2)*(0*t + 0*t - t) + 0*t**3 - 3*t**3 - 3*t**3 - 2*t.\nAnswer: -8*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100936 by -4.\nAnswer: 25234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/(-55)*-10*1\/18?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*w - 2 = 0, 3*w = 5*j - 3*j + 16. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 665, 982, 1279, 1550?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18547 = -28*p + 150181. What are the prime factors of p?\nAnswer: 2, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4635303 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**2 - 154*l - 9. Give j(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 14. Let q = 7095 + -7113. Calculate p(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 0. What is the first derivative of c**4 + 10 - p*c**3 - 4 + 20 wrt c?\nAnswer: 4*c**3 - 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 7*w**3 + 0*w**2)*(6*w + 4*w - 5*w).\nAnswer: -35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:44 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let i(u) = -5*u**2 + 3*u**z - 3*u + 3 + 3*u**2. Is 2 a factor of i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let f = 1.59 - 1.6. Let m = f + -4.99. Which is the third biggest value? (a) 3 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 472212 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9859628.\nAnswer: 2, 71, 149, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-3))\/(-3))\/(((-902)\/41)\/(-2442))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f - 24 = 0. Let j = -2 - f. Suppose 5 = v, -n + j*n + 1 = 5*v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184 (base 9) to base 7.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22 - -0.219979. What is a rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/48)\/((-3)\/6 + -2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, 5, 6, -3, -28, -75, -150?\n\"Answer: -d**3 + 4*d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/(6\/40).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from {p: 2, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4749, 9501, 14251, 18999, 23745, 28489, 33231?\n\"Answer: -i**2 + 4755*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184.1 + 194. Let l = 4 - 14. Let u = q + l. What is the smallest value in 2\/15, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 3*o**2 - o + 1. Let v be d(4). Suppose -3*f + 43 = -v. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 1\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4310\/79 or 10?\nAnswer: -4310\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - 10\/(-3). Let h be 0\/(-4 + 3) - (-4 - -4). Solve -4*k + 3*k + a - 8 = h, -u*k = a + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5430 + 58330984?\nAnswer: 58325554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 2, u: 2, b: 1, m: 1, h: 1}. Give prob of picking 1 n and 2 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let n be (-1)\/a*0 - -120000. Suppose n = q - 0*q. Round q to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -495 + 521. Solve 27*r = m*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, 2*m = 4*q + 17 + 23. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656815157.\nAnswer: 37, 257, 69073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2912, 24743, 84000, 199397, 389648, 673467, 1069568, 1596665?\nAnswer: 2273472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/334 and 43\/668?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*27\/18. Put -4, -2, w, 0 in increasing order.\nAnswer: -4, -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j + j**2 + 476*j + 1542*j.\nAnswer: j**2 + 2106*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 59693439?\nAnswer: 298467195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a factor of 1128856114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + 1*sqrt(5))**2 - ((1 + sqrt(5))**2 + -5 + ((sqrt(15)\/sqrt(3) + 4)**2 - sqrt(5))).\nAnswer: -17*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 2)*(-g - 2 + 2) - 689*g - 1601*g - 1361*g - 853*g to n + c*g and give c.\nAnswer: -4509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, j: 2, e: 8, h: 1}. Give prob of sequence ehg.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*t - 1370 = -p - 72*t, 5*p - 4*t = 6802. What is the remainder when p is divided by 673?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 54265)\/((-26)\/(-8)*(-30)\/(-65)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u + 0*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6628.687 centuries?\nAnswer: 7954424.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2595526 divided by 3298.\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/33*3*1. Let d be (0 + 0 - 0)\/g. Suppose u + 15 - 134 = d. What are the prime factors of u?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3, -5*p - 5*z + 11 = 1. Let b be p\/(-2) - 10\/(-20). Solve -b = -o + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -39, -47, -57, -69, -83, -99?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*b + 30 = 0, -2*c = -0*c - b - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - c + 7 = -4*c - 8*c - 13, 8 = -5*h + c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:48 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -120573.\nAnswer: 120578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3689*o. Let y(n) = -368897*n. What is -299*t(j) + 3*y(j)?\nAnswer: -3680*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.4 times 0.04?\nAnswer: -1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 216 = -2*p. Suppose -p = 5*j + 53. Let v be j\/(-9) - 8\/(-36). Solve 0 = -2*s - 4*w - 4, -2*w - w + 3 = v*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2146 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.140496 - -0.021504. What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -3\/2*q**2 + 1\/3*q**3 + 5*q - 11. Is f(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -849c9 - -64?\nAnswer: -84965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(152) + (2*sqrt(190))\/sqrt(5))\/(1*(sqrt(128) + sqrt(128) + sqrt(128)*-1 - sqrt(2))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000695 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/3 (c) -5 (d) 2\/51 (e) 1 (f) -8\/307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 11*p**7\/42 + 2*p**3 + 21*p - 1. Let i(q) be the first derivative of f(q). What is the second derivative of i(s) wrt s?\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 4 + 4 + (-5 + 2 + 1)*(0 + 0 - k))*(-4 + 6*k**2 + 3*k**3 - 6*k**2) to the form z*k**3 + o*k**2 + l*k + x*k**4 + y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2\/(r\/r**(-7))*r**8*r**(-4)\/r assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 152. Solve 2*c - w = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 33*q - 2. Give w(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03083814202 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 1379*n**6\/60 + 23*n**5\/20 - 5*n**4\/24 + n**3\/6 + 3579*n**2 + 2. What is the third derivative of l(q) wrt q?\nAnswer: 16548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*a + 18*a + 5413 + 12*a - 5610 as c*a + j and give j.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7.15, -4, -2.7, 0.06?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -25. Suppose -h + 20 = 4*h. Suppose 3*w = 2*c + 6, -9*w = -7*w. Sort c, t, h in descending order.\nAnswer: h, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/45)*i)\/(i\/(i*i**(3\/25)*i*i*i)))**(4\/9) assuming i is positive.\nAnswer: i**(4568\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + 4*(sqrt(432) + (sqrt(432) - (-3 + sqrt(432))) + sqrt(432) + 3)*-6)*5)**2.\nAnswer: 36288000*sqrt(3) + 228358800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/18)\/(6\/(108\/42)). Let g be (-4)\/18 + 4\/(-9). Let m = 8 + -17. Which is the nearest to y? (a) g (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 586 - 0.0747\nAnswer: 585.9253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 15*o**2 - 9*o + 59. Let s(l) = 8*l**2 - 5*l + 30. Suppose -363*v + 187*v + 88 = -184*v. What is v*s(u) + 6*w(u)?\nAnswer: 2*u**2 + u + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 11*h**3 - 2*h**3 + h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -800*q**2 - 775*q**2 + 1513*q**2 + 2*q - 14*q**3 - 7*q**3 to the form a*q**3 + w*q**2 + h*q + x and give w.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 54*h - 9. Let n(t) = -18*t + 3. Let i(r) = 7*n(r) + 2*o(r). Is i(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - d**4 + d**4 + (-3*d + d + 0*d)*(-4*d**3 + 3*d**3 + 3*d**3) - 5*d**4 + 4*d**4 + 2*d**4.\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -27*x - 28. Which is the closest to -1? (a) -2\/79 (b) x (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3354, 26910, 90860, 215400, 420726, 727034?\n\"Answer: 3366*b**3 + b**2 - 9*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 9, x: 7, g: 3}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339142 is divided by 446328?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4034 in 5, 5\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368872 is divided by 646.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**6\/720 - t**5\/40 - t**4\/6 - 2*t**2. Let j(z) be the second derivative of p(z). Let y be j(4). Is y bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 809, 1203, 1583, 1943, 2277?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 7*j + 19. Let v be w(-5). Let g be 2\/(-4)*(16\/(-4) - v). Solve -g*r = r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-10 - (-6 + 9)). Suppose 3*j - 6*j + 72 = 0. Let s = j - t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**3 - 27*s**2 - 21*s + 16. Calculate y(4).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 55*d + 5135 - 2582*d**2 - 5135 - 55*d. Let b(w) = -2*w. What is b(l(f))?\nAnswer: 5164*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.119, 30, -18416?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 7660825 - 2902425 = 94*v. What are the prime factors of v?\nAnswer: 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 + 4*r + 6. Suppose 2741 = 114*f - 7909 - 408. What is the remainder when f is divided by o(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 32, -142, 4, -65 in descending order.\nAnswer: 32, 24, 4, -65, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 115*k + 1350. What is the remainder when 92 is divided by g(-102)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5)*(10 - 17 - 26*r + 5).\nAnswer: -130*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -395874 and -16142?\nAnswer: 379732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 24*m + 2. Let r be z(13). Suppose 0 = 24*f - r*f + 8. Solve -2*a - f*x - 3*x = -15, -a + 5*x = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(567)*-5 + -3) + -2.\nAnswer: 10 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (81\/(-4))\/(3111\/120 + -26) and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-133)\/21 - -7) + (-20)\/(-6). Suppose m = -g*v + 2*m - 18599995, 0 = 2*v - 6*m + 9299970. What is v rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1184\/148)\/((-4)\/14). Let y(q) = q**2 - 5*q + 4. Let a be y(5). Put a, z, 3, -2 in ascending order.\nAnswer: z, -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - -7 - (10 + 6) - -6 - (1 - 3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7884, 8057, 8226, 8391, 8552, 8709, 8862?\n\"Answer: -2*z**2 + 179*z + 7707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 56, 81, 120, 179?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyoyyzppyyvzvvpyyvo. What is prob of picking 2 y?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from wwxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25936 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: Suppose -2*x - 4*f = -1 - 17, -5*x = f - 9. Let r be (4\/2 - x)*5. Suppose -3*l + 61 = -0*m + 2*m, 3*m = -r*l + 102. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 4*s**2 - 6*s + 10. Suppose 2 = 2*g + h - 9, -14 = -5*g + 2*h. Let f be a(g). Put f, -3\/5, 4 in descending order.\nAnswer: 4, -3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 204, 203, 202, 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224.1 - 223.794. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518327, -1036668, -1555011, -2073356, -2591703?\nAnswer: -3110052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -1\/6*v**3 + 0 + 0*v**2 + 4*v + 3\/8*v**4. Suppose w(r) = 0. Calculate r.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/238153 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23579 - -23829. Calculate the highest common divisor of 4850 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487 (base 12) in base 6?\nAnswer: 31051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2565 - -244147.\nAnswer: 244151.2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a6 (base 11) in base 4?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -163*r**4 - 7*r**3 - 71*r - 4. Let j(l) = -54*l**4 - 2*l**3 - 24*l - 1. Let s(p) = -7*j(p) + 2*q(p). What is the second derivative of s(o) wrt o?\nAnswer: 624*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 59. What is the highest common divisor of 9 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1584) + 0)**2 - sqrt(1584))*3.\nAnswer: 180*sqrt(11) + 4779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.95 + -1.05. Let z = -5 + i. Let d = 0.06 - -3.94. What is the nearest to z in 2\/9, 0.4, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401597 is divided by 16710.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -26*o - 22. Let i(s) = -s**2 + 5*s - 1. Let a be i(6). What are the prime factors of f(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741061670 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/1*(-32)\/(-5184)*-36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -7*d**6\/300 + 23*d**5\/25 - 34*d**4\/5 - 128*d**3\/15 + d**2 + 2895*d - 2. Suppose a(i) = 0. Calculate i.\nAnswer: -2\/7, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 7. Let m be o(4). Which is the third biggest value? (a) m (b) 3\/13 (c) 3\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 8*g + 7. Let d be y(8). Suppose t - d = -1. Suppose 69 = 7*m - t*m. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7237*s - 1601*s**2 - 1913*s**2 - 7237*s.\nAnswer: -3514*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/1505 - 1970\/525?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352 by 1.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -289. Let f = -26 - s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -232 + 235. Let d = -68 + 69. Let i = 1.5 + -0.5. What is the nearest to d in i, 0.3, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20790 + -3014526\/145. Let d = u - -1\/29. Let m = 1038 - 7264\/7. What is the nearest to m in -0.3, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*w + 144, -3*s - 5*w = -104 - 14. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 816.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1040 and 3\/11 - (-59724)\/247104?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 8.3, -58, -20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.257 + -1.053. Let k = 0.91 + f. Which is the biggest value? (a) k (b) 4 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 + 3*i**2 - 9*i**2 + 8*i**2 - i in the form y*i**3 + g*i**2 + m + c*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l + 4. Let c(p) = 48*p + 3489. Calculate the remainder when n(-3) is divided by c(-72).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 6202681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h - 50. Let d = 54 - 62. Let g be q(d). Find the second derivative of -g*b**2 - 5*b**2 + 10*b + 3*b wrt b.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205799 + 1234799\/6. Solve -2\/3*a**2 + 1\/6*a**3 - b*a + 0 = 0 for a.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14920470 by 6.\nAnswer: 2486745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**3 - 1807118*t**2 + 13981449*t + 5 wrt t?\nAnswer: 24*t - 3614236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -184*w - 552. Let k be t(-3). What is the second smallest value in k, 1\/7, 1101?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c - 101?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {z: 4, l: 1, n: 4, u: 2, c: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/151 or 0?\nAnswer: -11\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*q + 5646 + 538 = -9*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 21 = -4*u. Find the third derivative of -3*p**2 + 2*p**5 + 6*p**2 - 5*p**u wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -330*d + 659*d - 328*d - 14. Let l(b) = -2*b + 29. What is l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10853 (b) 1 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*l + k - 19, -3 = -3*k. Suppose 0 = -5*p - 5*w + 35, 3 = 5*p - l*w + 8. Which is the nearest to 0.1? (a) -0.1 (b) p (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 31*s - 29*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 632791 and 3.2.\nAnswer: 2024931.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6359331 equal to -6359344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + 1.87. Is a less than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 167?\nAnswer: 25718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 11*u**7\/30 + u**5\/15 + 475*u**4\/24 + 2*u**2 + u + 66. What is the second derivative of k(d) wrt d?\nAnswer: 924*d**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 1171*z**6\/30 + 314*z**2 - z + 727. Differentiate d(w) wrt w.\nAnswer: 4684*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = 4*m + 99 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 1.61915 (b) -0.3 (c) -3 (d) 3 (e) -4\/7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let i(v) = -4*v + 2. Let c(q) be the third derivative of -q**6\/40 + q**5\/30 - q**4\/12 + q**3\/6 + q**2. Let u be c(1). Give u*y(w) - i(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*w**2 - 3*w**4 - 30359*w - 48 + 30359*w with respect to w.\nAnswer: -12*w**3 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -5*v - 3*y + 1200, -3*y - 12 = 0. Let p be (v - 0) + -1 + -1. Suppose -20 = 5*m, -4*a - 2*m + p = -7*m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvi when three letters picked without replacement from {c: 1, x: 3, v: 2, i: 1, s: 3, l: 7}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6388 - 114947\/18. Let m be (-5)\/30 + 974\/5826. Let u = m + -51465\/3884. Find the common denominator of w and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = 33*m + 363. Solve 3*c = m*c + 4*f + 8, 5*f + 3 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -167810808437?\nAnswer: -167810808437.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -3 - -6) + 439 + -483.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -17. Let y be 13\/r + 4\/10. Suppose y*h = h + 36. What is the highest common factor of 126 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*n = b - 12, -n - 2*b + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(117) - sqrt(117))*5)\/((sqrt(162)\/sqrt(9))\/sqrt(2)).\nAnswer: -35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-456)*81\/18)\/(31\/(-124)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29466272 divided by 7?\nAnswer: 29466272\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.0735717 - 0?\nAnswer: -230.0735717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469862?\nAnswer: 2, 234931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 32.91. Let d = -4.91 + i. Which is the nearest to 0? (a) d (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q**2 - 3*q. Let j(h) = h**2 - 7*h + 14. Let w be j(4). Let n be m(w). Let t(u) = -7*u**2 + u**2 - 8*u - 2 - 3*u**n + 8*u**2. What is t(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7 - 4) + 5)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1694) + sqrt(1694))\/((sqrt(168)\/sqrt(6))\/sqrt(4)))**2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55968 = -45*r + 53898 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -1402, -2092, -2774, -3448?\nAnswer: -4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*y + 2*z - 8, -2*y + 3*z + 26 = 0. Let p be 18 + -5 + 3 + -1. Let t = -11 + p. What is the lowest common multiple of t and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 277*j + 277*j + 17 - 22*j**3.\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -16*d**2 - 12*d + 34. What is l(3)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -2, 15, 2\/3, 1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2015*x - 2015*x + 129*x**3.\nAnswer: 129*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 159 and -1825040.9.\nAnswer: -1824881.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 311126847 to the nearest one million.\nAnswer: 311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Suppose -430*b + 77 = -423*b. Let k(l) be the third derivative of 0*l**3 + 0 - b*l**2 + 0*l - 5\/24*l**4. Determine h(k(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 357260, 1428882, 3214928, 5715404, 8930316, 12859670, 17503472?\n\"Answer: a**3 + 357206*a**2 - 3*a + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(8\/4))\/((52\/4)\/(-65))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 1\/3 (b) -5 (c) 71\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 1, d: 1, u: 2, i: 2}. Give prob of picking 2 i, 1 n, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-16)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4829*b - 3839*b - 8910 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 3*z, -2*z - z - 18 = 3*y. Let m(j) = -2*j - 11. Let h be m(y). Suppose -2*a + u - 3*u + 12 = 0, -h*a + 32 = 4*u. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177 * 510\nAnswer: -90270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**5\/20 + 5*s**2\/2 - 2*s. What is the derivative of j(r) wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*((-448)\/(-12))\/(-8). Suppose r*h - 4760 = 45*h. Is h at least as big as -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1954 + -153.0346. What is y rounded to zero dps?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 97.66378 and -0.96?\nAnswer: 98.62378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 898 = 4*v, -5*v + t = -10*v + 1115. Let x = v + -79. Does 33 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let s(c) be the third derivative of 7*c**4\/24 + c**2. Let w(q) = 3*q. Let l(k) = -4*s(k) + 9*w(k). What is i(l(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 175394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2736) + -3 + sqrt(2736) - (sqrt(2736) + -3 + sqrt(2736) + -2))**2 - (-4*-3*sqrt(2736) + (-3*((sqrt(2736) - sqrt(2736)*3) + sqrt(2736)))**2).\nAnswer: -24615 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -940944, -940819, -940692, -940563?\n\"Answer: i**2 + 122*i - 941067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 57 = -5*p + 3*b, -p + 26 = 4*b. What is the second derivative of -46*k**5 + 9 + 23*k**5 - p*k**5 - 40*k**5 - 2*k wrt k?\nAnswer: -1860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3179373016?\nAnswer: 2, 397421627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 17. What is d(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11.7747 decades?\nAnswer: 1.17747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51892, 103757, 155594, 207403, 259184?\n\"Answer: -14*t**2 + 51907*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4272 = 737*n - 83*n + 58*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.000263 + -28089105.\nAnswer: -28089105.000263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 34*f - 65. What is the tens digit of j(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/86589502 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 20. Suppose 4*f = -5*s + u, f + 3*f - 50 = 3*s. What is the smallest common multiple of 6 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450656 and 7264.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose n + 5*r - 16 = r, 0 = -5*n - r + 4. Let p = t - n. Solve -5*q - 3*w - 35 = p, -3*q + 3*w = -0*w - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 80.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 3135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 - -253. Suppose -2*f + 45 = 5*j, j - 26 = 3*f - u. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607614 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 - 525*d + 525*d)*(12 - 51 - 22)*(-8*d - d + d) to the form v*d + c + y*d**2 + n*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 = -4*l, 3*l - 2 = 13. Solve i = -6*z + 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 5, m: 1, x: 3}. What is prob of sequence xlm?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17820 - -17823. Sort 0.1, m, -22.\nAnswer: -22, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((-8)\/(-6)) + 4. Let u(b) = b**3 - 6*b**2 - 6*b + 7. List the prime factors of u(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -257 and 1698160.\nAnswer: 1697903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*j**5 + j**2 + 414*j?\nAnswer: -6540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/2 + 90*h**3 - 1977*h**2\/2 + 3438*h - 2538 = 0. What is h?\nAnswer: 1, 6, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557168?\nAnswer: 2, 97, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 + 255*h**2 - 1120*h - 1380 = 0 for h.\nAnswer: -1, 6, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -198*w**4 - 2*w**2 + 135*w wrt w.\nAnswer: -2376*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5046, 0.3, -6806 in ascending order.\nAnswer: -6806, -5, 0.3, 5046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 + 65. Let v be 6\/(-27) + (-2055)\/n. Solve 0 = 5*o - 10*o + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2802760*z. Let q(a) = a. What is q(u(p))?\nAnswer: 2802760*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170281988 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4 - (-11 + 6)) + -1 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3808 - -4473. Calculate the highest common factor of s and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-325)\/(-156))\/(45375\/2904)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -34*h**2 - 6*h - 6. Let w(i) = -68*i**2 - 11*i - 11. Let b(t) = -11*n(t) + 6*w(t). Let g(y) = -2*y**2. Calculate g(b(k)).\nAnswer: -2312*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**3 - 7*v**2 - 130*v - 15. Is m(-6) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-47)\/47)\/(1\/(-1)). Suppose 3*c + 0 = -r - 2, 11 = 2*r + 3*c. Let l(q) = 5*q - r*q + q. Calculate l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -58, -111, -206, -355, -570, -863?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1000010101111011011101?\nAnswer: -1000010101111011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (1\/3 - -1). Which is the nearest to q? (a) 0.1 (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/15)\/((-1)\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116420081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + 171401.49.\nAnswer: 171401.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.4, 2\/11 in ascending order.\nAnswer: 2\/23, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let a(l) = 13*l**2 - 23087*l + 1. Determine a(v(q)).\nAnswer: 52*q**4 - 46174*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Let z be (-63)\/12 - 1\/(-4). Let y = 77 + -57. What is the least common multiple of l(z) and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**9\/1512 - t**5\/60 + t**3\/3 - 3*t. Let g(c) be the second derivative of l(c). Find the second derivative of g(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649523093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 72*x. Let q(s) = -252*s + 12. Let n(m) = -102*m + 7. Let z(i) = 5*n(i) - 2*q(i). Determine a(z(j)).\nAnswer: -432*j + 792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -229, -131, 27, 275, 643, 1161?\n\"Answer: 5*m**3 + 63*m - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from nnqvnlqqnzqknnlq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73124.\nAnswer: 2, 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22993284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8912 or -226?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49160435 divided by 1.\nAnswer: 49160435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06373 + 0.0568. Round d to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Suppose t = -4*m + i - 2*i + 187, m = -3*i + 33. Suppose -5*u = -27 - m. Solve -5*f + u + 14 = 2*r, r = 5*f - 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19*o**3 - 9*o**2 - 6*o + 2. Let w be k(-1). Solve w*j = 7*j + 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35335\/2 or -17667?\nAnswer: -35335\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*p**3 - 23695*p**2 - 2561725*p - 2080125.\nAnswer: -5*(p + 215)**2*(11*p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(1 - 2\/(-4)). Suppose v*c - 4 = c. Find the third derivative of 5*t**4 + 2*t**2 - t**4 - c*t**4 + 2*t**5 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*c + 529*c + 264*c = -117*c - 2542 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4614*k. Let x(z) = 2*z**2 - 56*z + 28. Determine y(x(r)).\nAnswer: 9228*r**2 - 258384*r + 129192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*(sqrt(78) + (2*sqrt(78) - sqrt(78))))\/sqrt(6) + 4)*6.\nAnswer: -24*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130926?\nAnswer: 2, 3, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 162. Let b = -32 + n. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/253, -1, -0.2035?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*k - k + 312, 0 = 5*l + 2*k + 1536. Let x be 0\/(l\/126 + (-6)\/(-14)). Solve 2*v + 2 - 16 = -5*w, -3*v - 9 = x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -1011880 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h + 2\/15*h**5 + 1\/120*h**6 + 1\/4*h**4 + 0 - h**3 + 12*h**2. Let w = -35 - -28. What is v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34151.54321 minus -12?\nAnswer: -34139.54321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15*(-2)\/39*-26)\/4. Let i(s) = 3*s - s**3 - 5*s**2 + s**2 + s. Calculate i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112124\/41 + 2735. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = l - f, 4*l - 103 + 27 = 3*f. Suppose 4*a - 11 = 45. Let d = l - a. What is the greatest common factor of d and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 198614, 397223, 595832, 794441, 993050, 1191659?\n\"Answer: 198609*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40 - -24)*8\/(-32). Solve 3*a - 14 = -3*x + 5*a, 2*x = -4*a + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -5. Let m = -122 - l. Solve -o = m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7687 + 7687. Let j = 0.4 + 0.6. Let w = j - 0.7. What is the second smallest value in k, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -217\/4. Factor -3\/2 + p*d**2 + 3\/4*d.\nAnswer: 3*(d - 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d**2. Let z(u) be the first derivative of -170*u**3 + 349. What is 135*k(o) - 4*z(o)?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4) + ((11 - 12)*7 - (-1484)\/186).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 12*j**2 - 15*j - 14. What is the remainder when g(-12) is divided by ((-84)\/(-10))\/((-2)\/(-10))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yolyznjon. What is prob of sequence no?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a - 4. Let g be 8 + 318\/(-42) + (-66)\/7. Let i(p) = -p - 1. Let b(u) = g*i(u) + 2*n(u). What is b(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -4\/5 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 2. Let q(i) be the second derivative of 2*i**3\/3 - 5*i**2\/2 - 4*i. Let k(n) = 5*f(n) + 2*q(n). Let p(u) = -13*u - 3 + 3. What is k(p(y))?\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from vvuvvucpcvssppu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30544 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/5 - (-6)\/15. Let t = a + -2. What is the smallest common multiple of t and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12.0849nm?\nAnswer: 0.0000000120849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7 = -m. Let z be 4440\/(-858) - (-84)\/(-231). Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqvqvqvqqqqvqq. Give prob of picking 2 v and 2 q.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -w - 0*t + 3, -t = 3*w + 19. Let d be (-23)\/(-4) + w + (-49)\/(-4). Let n(b) = -b**3 + 13*b**2 + b - 12. What is n(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647941891?\nAnswer: 37, 17511943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y - 1. Let b be t(9). Let u(a) = -96*a - 4. What are the prime factors of u(b)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 55. Let n = k + -37. Let s = 213 - 215. Sort s, n, -9, -4 in increasing order.\nAnswer: -9, -4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 3 + 5 - -3. Let r be 3 + 0 + z + -6. What are the prime factors of (5\/(-10))\/(r\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 485. Give l(61).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - z**2 - 2*z**2 + 2*z**2)*(53*z**3 - 858*z**3 - 30*z**3).\nAnswer: 835*z**5 + 1670*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -274448.2?\nAnswer: -274448.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 13*f - 42.\nAnswer: -(f + 6)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 7. Let i(u) = -u + 4. Let l(j) = 5*h(j) - 8*i(j). Let f(q) = q**3 - q**2 + 3. Let b be f(0). Give l(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -21226388*q. Let s(g) = -6*g. Give s(v(m)).\nAnswer: 127358328*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 1. Let a(r) be the third derivative of 0*r - 15*r**2 - 1\/8*r**4 + 0 + 1\/3*r**3. Let m(q) = -a(q) + 5*x(q). What is m(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1053))**2 + -5 - (((0 + sqrt(832))**2 - sqrt(832)) + -2).\nAnswer: 8*sqrt(13) + 3377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -92*l**5\/5 - 3*l**2\/2 + l - 13. What is the second derivative of d(j) wrt j?\nAnswer: -1104*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-5)\/10)*(-24)\/2. Let g = h - -6. Solve -3*q - q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*j**3 - 49 - j + 111*j**3 + 48 + j**2 - 14*j**4 as b*j**4 + f + n*j + r*j**2 + v*j**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5922\/(-369) + (-5 - -21).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 7, o: 6}. Give prob of sequence nod.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 279096006 divided by -7\nAnswer: -39870858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3348\/5 + 670. Which is the smallest value? (a) 5 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7117 - -13595. Let s be (16\/(-20))\/(9\/72805). Let r = s + f. Calculate the common denominator of -46\/5 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7343383 rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521826 + 521780 - 1043609 - 3*c**2.\nAnswer: -3*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - l - 270334 - 4164, 2*y - 4*l + 109808 = 0. Round y to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 843 and 16017?\nAnswer: 16017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1575 - -0.2. Round l to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 4*l + 11*l - 6*l + 4*l - 1. Let n(j) = -2*j + 0*j + 0*j. What is h(n(p))?\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -13 + -1 - -74 - 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28550 is divided by 94?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (2 + (3 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688331 divided by -109?\nAnswer: 1688331\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 2504988*c\/5 - 784370610018\/5.\nAnswer: -2*(c - 626247)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819127 >= 1819125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 346 - 2426\/7. What is the third biggest value in w, -0.1, 5, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (-264 + 257).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.433387393 rounded to 3 decimal places?\nAnswer: -0.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*a**2 + a - 528*a**3 + 0 + 526*a**3 - 2 + 0*a**3 + 3*a**3 - 4*a**3 + (-1 + a**2 + 1)*(-3*a + 3*a - 2*a).\nAnswer: -5*a**3 + 26*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -211*d - 9433. Calculate h(-45).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 7*r**2 + 9*r - 4. Let y be m(8). Let s be (2\/(-16))\/(5\/y). Suppose 5 = -2*t + 3. Which is bigger: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 6112573?\nAnswer: -12225146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*h - 11. Calculate the common denominator of 49\/3 and (h\/25)\/(4\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -26. Let s = 169 - n. Is 23 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/20 + x**4\/8 + x**3\/3 - 16*x**2. Let d be o(-1). Sort d, 34, 3 in descending order.\nAnswer: 34, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1210, -3367, -6484, -10555, -15574, -21535, -28432?\n\"Answer: c**3 - 486*c**2 - 706*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 7. Let h be l(-7). Let g(u) = -u - 4. Let o(t) = 3*t + 13. Let z(f) = h*g(f) + 4*o(f). Calculate z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10802 divided by -11.\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + h + 2 = -1, 2*d + 3*h + 4 = 0. Let y = 18 + -15. Suppose -y*z + 3*l = -18, -5*l = -4*z + 18 + 9. Solve -2*i + d = -z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.1, 2.8, -15, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.93816 - -0.953. What is n rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbf. What is prob of sequence bb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1584) + -1 + sqrt(1584)*-2)*5)**2 - (sqrt(121)*1*1)\/(sqrt(396)*2).\nAnswer: 12959*sqrt(11)\/12 + 39681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*o - 9. Let t = 6 - o. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367 - -370. Let n = 333 - w. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 4. Let i be l(-2). What is the units digit of i - (-44)\/2 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 9 - 7 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*k + 222 = 0, u = k - 3*k + 68. Let t = 51 - u. Let g = 21 + t. What is the lowest common multiple of g and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-501 - -170 - -369) + (2 - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 5:04 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.28512t to milligrams.\nAnswer: 94285120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1086818 and 5403331?\nAnswer: 572753086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) + 705\/10. Let q be (2 - 8\/6)*3. Suppose 2*v + q*i - g = -2*i, 5*v = -i + 166. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 12*p + 10. Let l be f(-7). Let k = l + 57. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 5, b: 3, m: 1}. What is prob of picking 1 m and 1 i?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2010*f**2 - 7896*f**2 + 2017*f**2 + 2012*f**2 + 1856*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15943*n**2 - 26*n + 31876*n**2 - 15934*n**2 + 122. Give x(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*c + 92 - 440 = 0. Put 5, -3, c, -7763, -1 in decreasing order.\nAnswer: 5, c, -1, -3, -7763","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 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 i(j) = -j**3 - 17*j**2 - 17*j - 21. Let t be 1188\/693*(-28)\/3. Calculate i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ookkoooookoo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4392 + 4392. Is -54\/145 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.1 + 34. Let p = 0.06 + -2.06. Let b = x + p. What is the second smallest value in b, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-24)*2*(-756)\/(-16443).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 59. Find the second derivative of 2*q - q**2 - 16*q**2 - 3*q**x - 3*q - 6 wrt q.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(81\/((-93717)\/(-89))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 + -660. List the prime factors of 4*(-15)\/48*c.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.07394 decades in months?\nAnswer: 11768.8728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*m*x**4 + 151603*m*x - 362971*m + x**4 + 9 wrt x.\nAnswer: 136*m*x**3 + 151603*m + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 + 3*f**2\/2 - 33033. Let l be (-1)\/3 - 21\/(-9). Let k(r) = -2*r**l + 0*r**2 + 4*r**2. What is h(k(c))?\nAnswer: -4*c**4 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*q - 2987*c**3 + 2*c**2*q + c**2 - 888*c*q + 3*c + 1 wrt c.\nAnswer: 6*c*q - 17922*c + 4*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104918109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(24*l - 7*l + 16*l)*(5 + 18 - 12).\nAnswer: 726*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 9*s**2 - 8*s + 7. Suppose 4 = r - 0. Suppose 0*d + 32 = -4*m + 3*d, r*d = 0. Calculate i(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + f**2 + 239. What is the units digit of l(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 939065*0.144.\nAnswer: 135225.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1327, 0, -0.04, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20420, -20068, -19716, -19364?\n\"Answer: 352*u - 20772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 16}. Give prob of sequence qzqz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*i*x**3 + i*x**2 + 346*i*x + 36*i + 308*x**3 - 589*x**2 - 2*x + 2 wrt i?\nAnswer: 26*x**3 + x**2 + 346*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 206 + -205. Put h, 0.1, -2, -1\/6 in increasing order.\nAnswer: -2, -1\/6, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.004 * -297673.\nAnswer: -1190.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 30274461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4567667912.\nAnswer: 2, 1987, 287347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48934 + 87026. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 9. Let w be x(8). Suppose w = -u - 0*u. Let c = 2\/205 + -88\/615. Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25755473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-9 + (-8)\/(-4)). Suppose 3*s + 2*s - 5 = 0. Which is the second biggest value? (a) 0.4 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6)**23 assuming i is positive.\nAnswer: i**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 24*o - 1 to l + h*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(1152\/(-6))*(-3)\/27*6?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-1)\/(-105)*3). Let p be x\/(-15) + (-2)\/3. Let k = 14 + p. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(0*d + 3*d - d)*(0*d**2 + 3*d**2 + 2*d - 6*d**2 + 2 - 2 + d**2 + (2 - 2 - d**2)*(3 - 2 - 2)).\nAnswer: -4*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*n - 3*n - 17, -3*r + 3*n = -15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/32 and 39\/(-104)*11\/(-18).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from {v: 2, x: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 471.171 times 671\nAnswer: 316155.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 353?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.9686 + -0.0314. What is the nearest to -0.1 in -0.05, -5, 0.2, d?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (520\/150*-21)\/((-1)\/10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1917 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 - -226. Let z = -3.31 - -0.31. Is i greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/11 (b) 0.5 (c) 1 (d) -38\/125 (e) 0.6 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88*(-3 + (-3 - -7)). Let m = p - 83. Suppose 0*i = -0*i + 5*i. Put m, i, 2, 4 in decreasing order.\nAnswer: m, 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2*s - 2)*(0 + 2 - 1 + 1 - 1 - 2 + (-4 + 0 + 2)*(2 - 4 + 3) + 1 + 0 + 1)*(-69 - 147 - 81) to z + f*s and give z.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-71130)\/(-94840))\/((-1)\/(-6)*18\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 2*k - 86*k**2 - 4*k - 3 + 2*k.\nAnswer: -86*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-12))\/(76\/(-342)). Suppose -7\/4*q**5 + 0 + 3*q**4 + 0*q - t*q**3 - 1\/2*q**2 = 0. Calculate q.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3764850 and -169\/3764850?\nAnswer: 3764850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73862*g - 73864*g + 2 = -3*y, -27 = -g - 5*y for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19088422*x**4 + 31649062 wrt x?\nAnswer: 76353688*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 33. Suppose b = r + 4*f - 4, 5*r - 9 = -f + 30. Suppose -3*z + 5*z - 4 = 0. Solve 3*m - 6 = l, z*l = 4*m + l - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c. Let w(v) be the second derivative of -2*v**3\/3 + 2*v**2 - 4277*v. What is w(o(m))?\nAnswer: -12*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.04275 - 0.04275. What is the fifth smallest value in j, 3\/13, -3\/5, -0.5, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172205373, -172205374, -172205375, -172205376, -172205377?\nAnswer: -172205378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7865, 15632, 23391, 31136, 38861?\nAnswer: 46560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*m + (2 + 0 - 5)*(-17*m - 8*m + 32*m))*(-1 + 0 + 0)*(-7*m + m + 27*m).\nAnswer: 378*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -717*o. Let l(u) be the third derivative of -u**5\/60 - 8079*u**2. What is l(p(x))?\nAnswer: -514089*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.0573\nAnswer: 0.01719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 106118830 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -159.7. Round o to 0 decimal places.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1229, -1\/5, 4, 1 in ascending order.\nAnswer: -1\/5, 1, 3, 4, 1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/13014 and -119\/8676.\nAnswer: 26028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13126551*t**5 + 52056294*t wrt t.\nAnswer: 262531020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + n = 2*n - 13, -4*n + 7 = 3*f. Let h = f + -2. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y - 68. Let m be h(8). Let x = -5912\/1603 - 6\/229. Is m bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9330*l - 18607*l + 9279*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-8))\/((-18)\/(-8))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -1\/40*x**5 + 3\/4*x**2 + 1\/12*x**3 + 0 - 1\/8*x**4 + 2*x. Factor m(j).\nAnswer: -(j - 1)*(j + 1)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/((-4)\/(-4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let c be n(-5). Let t be (c\/4)\/(1\/5). Solve 3 = 5*l + 3*j - 12, t*l + j - 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 119*h**4 + 3*h**2 - 105*h**4 + 10*h**5 + 14*h**5 - 14*h**3 - 7*h**2 + 0*h**3 = 0. What is h?\nAnswer: -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73400 - 2130*o**4 - 70682 - 88*o**4 wrt o?\nAnswer: -8872*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*d + 540 = -186*d. Let f = 1 + 15. Calculate the least common multiple of d and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6496 and 67\/336?\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**3*q**2 + 2142010*n**3*q - n**2*q - 598485*n*q**3 + n*q wrt q?\nAnswer: -8*n**3 - 3590910*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-45))\/(-6 + 0).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 80, -0.12, -5, 0.1, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let i be z(4). Let v be 6\/i*20\/6. Suppose -3*q - 3*y = -186, -227 = -v*q - y + 99. Calculate the highest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 11*z - 6 = 0. Let d(n) be the first derivative of z - 1\/2*n**4 + 5\/2*n**2 + 0*n + 0*n**3. What is the second derivative of d(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187)*2*6 + sqrt(187)))\/sqrt(11).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 111\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297\/5 + -1143\/20. Let h = -7\/4 + i. Which is the closest to 0? (a) 3 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 542 + -521. Let b be ((-20)\/3)\/((-3)\/144). Suppose -i*v = -17*v - b. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:53 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -114\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 203320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 26741\/(-2730) - (2 + 84\/(-45))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1100*a**2 + 2*a + 35. Let k(h) = 17*h. Determine k(b(t)).\nAnswer: 18700*t**2 + 34*t + 595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*m + 4410*m - 182048 - 38032 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110020 (base 4) in base 12?\nAnswer: 8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3\/2*n**2 - 24843\/2 + 273*n = 0.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/9)\/v**(-4)*(v*v*v*v**(-3)*v)**23 assuming v is positive.\nAnswer: v**(242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -1.6, -31.2, 14.31, 1?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/((-1725)\/50))\/((-14)\/(-5)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6188? (a) 1 (b) 0.3 (c) -192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 76. Suppose 5*u - 6*u + n = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494867 by -4.\nAnswer: -494867\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5731*a - 10. Let q(c) = 8*c - 2. Determine -d(h) + 6*q(h).\nAnswer: -5683*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 11 - 1. Suppose 2*i - 90 = -3*i. Let n be 1 - i\/(-3)*4. Solve -b - n = x*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 45 = 91 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(4\/2 + -4). Let f be 2*(-3)\/(-12)*14. Let z = -7 + f. What is the nearest to z in h, -0.1, -1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:51 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.8459 - -0.4459. Is -31 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133056 and 3790017?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 1. Let u(l) = -3*l - 11 + 11 - l. Determine 4*u(p) - 3*y(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - 51 - (-64 - -8) - 155.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1515 + -0.0515. What is the fourth smallest value in 14, k, -2\/3, -1\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5162*h**2 + 675*h**2 + 30465*h**2 in the form k*h**2 + s*h + m and give k.\nAnswer: 36302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1386693 and 176.\nAnswer: 22187088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-75)*(-12)\/(-108)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1819600 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 494 divided by 69495\nAnswer: 494\/69495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 4:59 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/((b**11\/b)\/b))))**0*b**(1\/17)*b*b**1 assuming b is positive.\nAnswer: b**(35\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -5\/9 (c) -0.1 (d) -294 (e) -1\/4 (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-2))\/(1\/13). What is the highest common factor of 234 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6071610 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 2. What are the prime factors of n(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y. Let c(o) = -3043*o. Determine c(h(n)).\nAnswer: -9129*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - c16a0?\nAnswer: -c169e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 1\/(-5) + (-808)\/(-40)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or 3.1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -8492, 4?\nAnswer: -8492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 - 90 = -45*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -4\/337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -320 - -317. Let v(i) = -4*i**2 - i. Let d(s) = -5*s**2 - s. Let y be (-24 - 1)*6\/15. Let p = -6 - y. Give p*v(a) + u*d(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000673528153 rounded to six dps?\nAnswer: -0.000674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(144)*1 - sqrt(144)) + sqrt(144))*-1)\/(sqrt(54)\/(sqrt(18)\/sqrt(2))))\/(((sqrt(1440)*-1 - sqrt(40)) + sqrt(40))\/(-3*(sqrt(80) + sqrt(5)))).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -571 - -575. Suppose -x + 1 = 5*s + 15, -l*x - 11 = 5*s. Solve x - 3 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = -35*c - 92. Is c greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -53 - 7. Let q = 1 + p. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9504 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 39*t**2 - 70*t - 172. What is y(-40)?\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 7*n - 6. Let v be k(-6). Let s(q) be the second derivative of q + 1\/2*q**3 + v + 0*q**2. Let l(g) = 2*g**2. Give s(l(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*p*z**3 + 10*p*z**2 + p + 3*z**2 wrt z?\nAnswer: 570*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-186)\/2*(1 - 2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*k - 2 + 428*k**3 + 415*k**3 + 3 - 844*k**3 + 6*k**2 in the form h + p*k + m*k**3 + n*k**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:31 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 431697024 and 1032768?\nAnswer: 431697024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48057052, -96114107, -144171162, -192228217, -240285272?\n\"Answer: -48057055*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40\/1429 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131.99999356 + 132. Round r to seven decimal places.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f - 39. Determine r(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l + 15, -b + 3*l + 21 = 0. Suppose -5*v + 20 = 4*q - 42, -3*v + q = -27. What is the greatest common factor of b and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9524 is divided by 865.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 125416691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 27 = -3*l - 2*r, 0 = 3*r - 6. Let c(w) = w**2 - 7*w - 37. Let p be c(l). What is the second derivative of -p*x**5 - 45*x**5 + 92*x**5 + 8*x wrt x?\nAnswer: -280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3266 - -11314?\nAnswer: 14581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 170737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 18*o - 459. Give p(36).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 620043581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*x**4 - 52702*i**3*x**2 + 3*i**3 + 2*i**2 - 193779*i*x - 2*x wrt x.\nAnswer: -24*i**3*x**2 - 105404*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 15 = q. Let p(a) be the second derivative of a**3\/2 + 7*a**2\/2 - 5*a. Let b be p(-3). Is b <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + 2*l)*(5 + 0 - 3)*(-2 + 3 + 3)*(-4*l + 37 - 37).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 562112472 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 + -0.039998. What is b rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -70*p**3 - 2003*p + 1015*p - 55 - 5*p**4 + 818*p - 180*p**2 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3. Let i(u) = -4*u - 1. Let x be i(y). Suppose 5*o = -5*b + 535, -2*b + 313 = x*o + 3*b. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 207247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 15) to base 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2) + (sqrt(4)\/(sqrt(2) - sqrt(8)))**2 - sqrt(2)) + sqrt(2) + sqrt(6)\/sqrt(3)*-3).\nAnswer: -6*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/2 in -5, -0.3, -1, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -613, -644, -717, -850, -1061?\n\"Answer: -3*r**3 - 3*r**2 - r - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3321960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:37 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -43.9?\nAnswer: 658.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95003 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 14. Let c be w(-9). Suppose 3*i - 2*i - 10 = 0. Calculate the highest common factor of i and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22375741 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.1793385, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69392 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.51 + -19.21. What is o rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 323500 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -6*w - 189. Let m be 3\/(w\/(-45)) + 1 + -4. Let p(l) = 2*l**2 - 8*l + 5. Let c be p(5). Solve 3*d = m*r - 23, 6*r - c = r - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 603 (base 11) to base 6\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 2*s + 1. Let i be z(-1). Let t(c) = -2*c**3 - 5*c**2 + 7*c + 5. Is t(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -184, 4, -2\/11, -2?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.14541nm in micrometers?\nAnswer: 0.00714541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16056)\/(-576) + 18\/144?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 5, 194, 0.011, -2\/9?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15178 divided by -2?\nAnswer: -7589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.54807 and -0.0474.\nAnswer: 0.50067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h - 36 = 3*v - 79*h, -6*v - 32 = -h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*a - 0*a + 1255, 756 = 3*r + 4*a. What is the highest common factor of r and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:20 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -0.14, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 8*z**2 + z + 3. Let r(k) = -2*k - 8. Let d(m) = -3*m - 8. Let b(q) = 4*d(q) - 5*r(q). Let p be b(8). Give t(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from segeeeeehefhepehehph. What is prob of sequence hs?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 540. Let s(m) = -4*m + 1619. Give -7*p(c) + 2*s(c).\nAnswer: -c - 542","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 392 - 111. Suppose 0 = t + 272 - z. Let j(g) = 2*g**3 - 17*g**2 - 7*g - 18. Let k be j(t). Solve -v - v - 6 = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/7)\/j)\/j)\/(j**(6\/11)\/j*j))**(5\/7) assuming j is positive.\nAnswer: j**(-1145\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.6566ml in litres?\nAnswer: 0.5786566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7136287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2110608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 2, e: 1, m: 1, p: 1, d: 1}. Give prob of sequence dmd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 1. Let s be m(4). Suppose q - s*q + 36 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c - 80. Calculate q(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -30, 6, 0 in increasing order.\nAnswer: -30, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5922 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifb when three letters picked without replacement from ibbifbibffiii?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 5:27 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/(-136) + 84\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520\/50 - (-3)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181564446 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 301, 300, 301, 304, 309, 316, 325?\n\"Answer: r**2 - 4*r + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 58 = -9*w. Suppose w*i - 4809 = 441. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.22065 years in decades?\nAnswer: 4.322065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*(-142)\/639.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.9 + -0.1. Let g be 10 - -1 - -1 - 2. Let n = 8 - g. Which is the nearest to -2? (a) v (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 48*h**3 - h**2 + 2*h - 2. What is the tens digit of g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001247 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*l + 22, -2*s + l - 2 = -12. Solve 0 = -4*r - s - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - (-264)\/110. Let i = 1 - -2. Let n(x) = 0*x + 0*x - i*x**q. Let t(l) = -3*l**2. Give n(t(d)).\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -38, -62, -88?\n\"Answer: -l**2 - 19*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5 - 10*h**4 - 28*h**3 - 80570*h wrt h.\nAnswer: -60*h**3 - 120*h**2 - 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 0 - 6)*(3*y - y + 0*y + 0*y + 2*y + y + (0 - 2 + 0)*(2*y - 3*y + 5*y)).\nAnswer: 252*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1132 - 1122) + 11 + 0 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873 = -120*d + 23*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:46 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1272, -5076, -11416, -20292, -31704, -45652?\n\"Answer: -1268*j**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -22*q - 121. What is the tens digit of j(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.088 + 0.088. Let o = -0.1 - 0.4. Let k = -4 + 6. Which is the nearest to -1? (a) o (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3307?\nAnswer: 3305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - -1. Let x = g - 43.968. Let s = 0.03199832 - x. Round s to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168\/(-28)*(6\/24)\/(2\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3404249 kilograms to nanograms.\nAnswer: 340424900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342 - 338. Which is the nearest to -10? (a) 0.5 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428450 and 8550.\nAnswer: 3856050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -565 + 0?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74.8 + -146.49. Round x to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -2, -4, 30, 13, 4, 1 in increasing order.\nAnswer: -4, -2, 1, 4, 13, 30, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 276 + 72. Is o a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -93, -2276906, -4?\nAnswer: -2276906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*f = -45, m - 3*f - 28 = -13. Suppose 7*n = m + 13. Suppose -2*t - 2699988 = -3*d, t + 2*t = -n*d - 4050016. Round t to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*v - 2 = 0, -j + 10 = 4*j - 4*v. Let z = 15 + -21. Let o = -1 - z. Solve y + 7 + 5 = j*k, -4 = -o*k - 4*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 3, -41\/12, 1.8, 13 in decreasing order.\nAnswer: 13, 3, 1.8, 1\/8, -41\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/759, 1, -31, 0.5.\nAnswer: -31, -2\/759, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -138 + 147 - (3 - (-6 - -16))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.6998 to 1 decimal place.\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 + h**2 + 2. Let j(u) = -15*u**3 - 6*u**2 - 11. Calculate -2*j(n) - 11*o(n).\nAnswer: -3*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086278184 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 divided by -231909?\nAnswer: -1033\/231909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26812289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/15 - 8396*u\/15 + 8811602\/15.\nAnswer: 2*(u - 2099)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 - 6*f - 6. Let q be u(3). Let x(m) = 23*m**2 - 3*m + 2. Let p be x(2). Let z = q + p. Calculate the remainder when 72 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r - 4*r)*(9*r + 19 - 19) + (0*r + 0*r - r)*(-2 + 2*r + 2) + r**2 - 3*r**2 + 0*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642236 is divided by 614?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 127.03 (b) 2\/15 (c) -5\/22 (d) -2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.03 (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/56270 and -23\/7944.\nAnswer: 675240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6746*g**2 + 5*g**3 - 24*g**3 - 6743*g**2.\nAnswer: -19*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 12532.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -3\/7 (b) 0.112 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/24030 and 29\/267.\nAnswer: 24030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 896825068 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 193, 701, 1711, 3391, 5909, 9433?\n\"Answer: 28*k**3 - k**2 - 19*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39598934 divided by -2\nAnswer: 19799467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 2*t + 0*t)*(-t - 9 + t**2 + 2*t + t) to the form y*t**3 + b*t + i + h*t**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -170*(-11)\/55*(-4)\/8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23219204 and 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/36 and -89\/49072.\nAnswer: 441648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.48 and -0.09?\nAnswer: 9.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 2, -3, -1\/18, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64069 + 4*i - 4*i + 64069 - 98*i**3 - 1861*i**3.\nAnswer: -1959*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(-6*r - 15 + 15)*(3*r + 0*r + 6*r).\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 11) + -10 + -4 + 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:51 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(176)*5)\/((sqrt(84)\/sqrt(112))\/(sqrt(21)\/(sqrt(7)*-1))) + 0.\nAnswer: 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73.4 and -2.\nAnswer: 146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 168743 = -5*k, -z - 33717 = -k + 31. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-6)*q))\/q*q**(-9\/4))**(-38) assuming q is positive.\nAnswer: q**(-209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8288, -16396, -24296, -31976, -39424, -46628?\n\"Answer: 2*g**3 + 92*g**2 - 8398*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -57224.868 times -0.09\nAnswer: 5150.23812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6822 - 0.999?\nAnswer: -6822.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 23*m + 13*m - 674 = 2021 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 11:40 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20363 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: Sort -302, 83, 4, -2, -4.\nAnswer: -302, -4, -2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m**3 + 0*m)*(-1 + 3 + 0)*(23 - 23 - 9*m).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 34 - 366 = 4*f, -p - 4*f + 80 = 0. Suppose -p*i + 2312 = -76*i. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8530213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let -3*n + 0*n + 9*n**c - 10*n**3 + 7*n**2 - 5*n + 2*n**4 = 0. What is n?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let l(b) be the second derivative of 5*b**4\/12 - 5*b**2\/2 - 2*b - 3562. Determine -l(m) - 6*q(m).\nAnswer: -5*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28602 and 1816.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-2 - (5 - 3)) - (-12 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8.3+1035188\nAnswer: 1035179.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -333*q**2 + 55*q**3 + 333*q**2 - 5*q**3 + 2*q**3 + 4*q**3 - 3*q**2 + q**3 + 3*q**2 + (2 - 2 - 2)*(-4*q**3 + 2*q**3 + q**3).\nAnswer: 59*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -11*w**5\/60 - w**3\/3 - 1335*w**2. Let a(r) = -208*r**2 - 39. Give 2*a(g) - 39*c(g).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/44 and -161\/140316.\nAnswer: 140316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 217781 + 2379 = 90*c. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*k + 61 = 0, -2*k + 0*k = -2*v + 34. Let m = v + -11. Suppose -b + 7 = -m. Calculate the highest common divisor of 75 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjnnnn. Give prob of sequence nn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1078404660 and 21.\nAnswer: 7548832620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*u = 23625, 3*u = -3*n + 8*u + 14188. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31463 and 105631?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520509.\nAnswer: 3, 11, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -7. Calculate the highest common factor of 40 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 4. Let t be m(-4). Let s = 41159\/36278 - -3\/1649. What is the common denominator of (1\/5)\/(t\/(-365)) and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1176\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 14, g: 4}. What is prob of sequence gaag?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3674.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.3 in 2\/11, -4, 0.151, -1, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 280595, 2 in decreasing order.\nAnswer: 280595, 2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -42. Let t = -6 - -8. Suppose -b*x + 753 + 442 = 4*i, 5*i + t*x = 1498. Round i to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhyvvccehvvyvhvch. Give prob of picking 1 e, 1 h, and 1 y.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, -2, -0.8, 0.0394?\nAnswer: 0.0394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-13)\/(-6) - 12\/8). Let x be ((-3)\/2*-1)\/(-3). Let s = 1924 + -1929. What is the third biggest value in x, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 4*t - t, t - f = 5. Suppose y = 6*y - 20. Suppose t*u + 16 = y*u. Do 4 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 5:06 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from oqdwdmddm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.57201 rounded to 2 dps?\nAnswer: -6.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -674 by -4.\nAnswer: 337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -43. Sort p, 2, 4\/3, 5 in increasing order.\nAnswer: 4\/3, 2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/(i**(10\/9)\/i))**(-2\/39) assuming i is positive.\nAnswer: i**(164\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24670 minus 595918481?\nAnswer: -595943151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let f = -7 + 9. Let i(l) = -19*l + 19*l - 3*l**f. What is i(p(b))?\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w - 3*g = 209, 5*w - 238 = -4*g. What is the highest common divisor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-16)*y))\/(y**8*y) assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exw when three letters picked without replacement from {x: 13, w: 2, e: 3}.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.23211871 to 4 decimal places.\nAnswer: -1.2321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 1136928?\nAnswer: -1136908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.906 - 0.094. Let m = 46.08617336 - 1.08608036. Let p = v + m. Round p to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1094 and 470.\nAnswer: 514180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -843 (base 10) to base 12\nAnswer: -5a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.5156478 rounded to 1 decimal place?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 305, 721, 1301, 2045, 2953?\n\"Answer: 82*f**2 + 6*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(14\/3)\/(j**1)**18)\/(((j*j\/(j*j**(-2\/11)\/j))\/(j*j**2*j))\/((j**(4\/7)\/j)\/j*j*j**(1\/8)\/j)) assuming j is positive.\nAnswer: j**(-23689\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894209 is divided by 28829.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -13. Calculate the lowest common multiple of 4 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*b = 7 + 23, -5*b + 25 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Suppose 3*d - 4*h - 18 = 0, -4*d = -4*h - 12 - 8. Suppose -r = g - 8, 4*g - 2*r = d*g. Solve -b - g = l*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {h: 6, a: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 49929.55ms?\nAnswer: 49929550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - n + 5*n + 0)*(129*n - 287*n - 58 + 151*n).\nAnswer: -28*n**2 - 218*n + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-24))\/(-4 + (-30)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100110110 (base 3) to base 15\nAnswer: 209c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 2 + 7*l - 12*l)*(0 - 2*l**3 + 0 + (0*l**2 - 2*l**2 + 0*l**2)*(l - 2 + 2)).\nAnswer: -8*l**4 - 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = o + 2*j, -745*o - 3*j = -747*o - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166 - 164. Let g(l) = 28*l**w + 33*l**2 - 11*l**2. Let h(a) = a. Give g(h(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 706?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3253 + 3253.000005456. Round c to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:50 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 353 + 17. Calculate the remainder when 102 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 470566088 to the nearest 1000000.\nAnswer: 471000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c0c - -5?\nAnswer: 5c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) + 9\/(-6). Suppose 5*q + 2*n - 115 = -3*n, g = -3*q - 4*n + 66. What are the prime factors of q + 2 + (-3 - -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 175393 < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 2:30 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0177 + -0.7177. Which is the closest to 0.4? (a) 0.3 (b) -7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 50*h - 45*h - 754, 474 = 3*h - 3*p. Calculate the remainder when 223 is divided by h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 667 - -2.65864122341\nAnswer: 669.65864122341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087000466 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 100*q**2 + 6*q + 563. Give m(-100).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25717 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508190.4 litres in millilitres?\nAnswer: 508190400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 3*v + 30. Let y be k(7). Suppose 0 = 11*u - 1652 + y. Let m = u - 1222\/9. Sort -1.3, -2, m.\nAnswer: -2, -1.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-6))\/(1\/(-2)). Let t be h\/((-25)\/(-2))*-40. Let a = t + -10. 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 s(r) = 3*r + 18. Let m be 5 + (-1)\/8*-10*-12. Give s(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396455 divided by 37.\nAnswer: -10715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-512)\/120)\/(-2) - 2\/1. Let j(f) be the first derivative of -1\/3*f**2 - 2\/9*f**3 - 2 + 0*f + r*f**5 + 1\/6*f**4. Solve j(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -5. Let k be 0 - x*6\/9. Suppose 3*l - 5*r - 189 = -k*r, -2*r = -8. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16419140 and -28\/3.\nAnswer: 49257420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*u - 160, 3*a + 55 = -3*u - 71. Let n = a + 63. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 203, 299, 391, 479?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 31897 = 9385. Calculate the remainder when n is divided by 12\/(-27) + 1266\/54.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*p - 13, 0 = -4*z + 115*p - 113*p + 32. Is 2\/49 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 180\/(-42)*630\/135. Suppose 2*m - 445 = 447. What is the units digit of m*-5*2\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2. Let h(s) = -2*s + 34. Let f be h(16). Let y(n) = n**2 - n - 3. Give f*y(q) - 3*j(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qnnnnbbq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6721 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2107348*u**3 + 138568*u**3 - 1898908*u**3 - 113385*u**3.\nAnswer: -3981073*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 75. Let q be 3 + 0 + h\/27. Factor -4\/9*g + q*g**2 + 2\/9.\nAnswer: 2*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - k = 11, 31 = 2*m - 3*k + 28. Put 5, 998, -3, m in increasing order.\nAnswer: -3, m, 5, 998","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = -2*d, 12*d - 17*d + n = -29. Solve -d*f - 4*f + 44 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 15) to base 4\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 2841?\nAnswer: 5682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25570, -25595, -25630, -25675?\n\"Answer: -5*b**2 - 10*b - 25555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -22010220111022?\nAnswer: -22010220111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141 by -141.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 62. What is the smallest common multiple of o and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 490 + -2951\/6. What is the common denominator of (183\/189 - 1) + 2\/14 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 19 = -5*y + 91, 3*y + n - 65 = 0. Let c be (117\/(-195))\/((-6)\/y). Suppose -2*d - 5 = -0*w - 3*w, w + 10 = 3*d. Put c, d, 3 in decreasing order.\nAnswer: d, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38.8941948 from 1187.8.\nAnswer: 1148.9058052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -776 - -778. Is (n\/8)\/(10\/86120) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1185 + 1190. Let z(r) be the second derivative of r**2 - 1\/20*r**q - 1\/4*r**4 + 1\/6*r**3 + 1\/30*r**6 + 0 - 26*r. Suppose z(o) = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 + 2*k**2 - 10*k + 4. Let m(z) = -9*z**3 + 3*z**2 - 19*z + 7. Let p(q) = -6*m(q) + 11*r(q). Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*p - 18 + 3, -1 = o - 2*p. Suppose o*h + 3*n = 24 + 9, n = -3*h + 35. Calculate the remainder when 34 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 1. Let f be i\/4 + 51\/12. What is the third derivative of 0*q**5 - 8*q**2 + 0*q**5 + f*q**5 + 3*q**2 wrt q?\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 163, 4, 3 in decreasing order.\nAnswer: 163, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -48, -132, -286, -534?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2. Let y(o) = 2112*o. Determine q(y(d)).\nAnswer: 17842176*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j - 5*m + 3, 0 = -j + 3*m + 16. Let o(y) = y - 4. Let g be o(10). Let u = g - 0. What is the remainder when j is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 308 - 287. What is the second derivative of 42*l + 10*l - 2*l**5 + d*l - 23*l**4 wrt l?\nAnswer: -40*l**3 - 276*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**5 + 182*z + 0 + 0 - 191*z wrt z.\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81447 and 3.\nAnswer: 244341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2283*z - 237 - 1 = -2297*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 16. Suppose -6 = 3*a - f. Solve -t - a*t = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -254.9 + -0.1. Let d = w + 212.2. Let q = d + 43. What is the nearest to -0.1 in -2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 521 and -38097.595632.\nAnswer: -37576.595632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.35 + 9.035. Let u = -0.285 + i. Let r = 186 + -1300\/7. Which is the biggest value? (a) -1\/2 (b) 2 (c) u (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53608 by -117.\nAnswer: 53608\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3504 + 165326.1?\nAnswer: 165325.7496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.927 to two dps.\nAnswer: -1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37343 or 186709\/5?\nAnswer: 37343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 2) + 5 + 0 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 6*f**2 + f + 6. Let h be g(-6). Suppose h*p = -2*p - 8. What is the units digit of (-4 + 2)*p\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 times 342\nAnswer: -55404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 - 1. Let q be 102\/(4*(-3)\/(-6) - 1). Suppose -21 = -3*r - q. Let v be -1 - ((-6)\/r + (-2)\/9). What is w(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + w**2 + 20*w + 13. Is p(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16065*0.597\nAnswer: 9590.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -4*t, -5*i + 5*t - 2 = 3. Let g = 0.06 - -0.24. Let a = -0.8 + g. Sort a, 0.2, i.\nAnswer: a, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 2*z + 1, 25 = 5*w - 5*z. Suppose -4*x + v + 13 + 84 = 0, -5*x = -w*v - 116. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 4*y = 3*z + 9, 2*z + 4*y = -6. Suppose 2 - 9 = 3*n + d, -d = 4. Suppose -4*o - 8 = 4*i, -3*i + 0*i - 6 = -5*o. Put o, z, n in decreasing order.\nAnswer: z, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 + 4 - 15*o**2 + 519*o - 508*o + 2*o**2 wrt o.\nAnswer: -24*o**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2. Let x(g) = -4*g + 3*g - 6*g**2 + 11*g - 10*g. Determine x(h(y)).\nAnswer: -96*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 less than 366.266983?\nAnswer: 451.266983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 45. Suppose 8*q + c*q = 0. Solve -13 = 5*i - 4*t + 11, q = -2*t + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1250.4 - 1154. Round m to zero dps.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) + ((-17249)\/(-235) - (-2 + -6 + -3))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6377871*g**2 - 2220220.\nAnswer: 12755742*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044057557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 293, 432?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 6:06 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -44048662\nAnswer: 220243310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22061*-0.4.\nAnswer: -8824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w**2 + 74*w - 154. Is d(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 199, 228, 283, 370, 495, 664?\n\"Answer: i**3 + 7*i**2 + i + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 3810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v. What is the remainder when 22 is divided by x(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 = 0, 0 = 4*q + 5*l - 25596 - 7087. What is the greatest common factor of q and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 31\/3*f**3 + 17\/3*f**4 + 5*f**2 + 1\/3*f**5 + 0*f.\nAnswer: f**2*(f + 1)**2*(f + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Suppose 2*n - u = 15. Suppose -g - 1 = 4*d - 21, -2*g = 0. Solve -2*l - 4*i = -3*i + 2, 5*l - n = d*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:47 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*-178863\nAnswer: -1055291.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(171) - (sqrt(171) - (sqrt(171) + 2*sqrt(171)*2 + sqrt(171) - sqrt(171) - sqrt(171))))\/(sqrt(45)\/(sqrt(5) + -2*sqrt(5))).\nAnswer: -4*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.32587 plus -64?\nAnswer: -55.67413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1446 and 8917.\nAnswer: 53502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 2*q - 12 = 9*k + 6*k + 14*k, -22*q = 3*k - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 86 = -4*k, -3*p = -3*k + 72 - 0. Let x = 8 - 6. Let w = k - x. Solve -3*q - w = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72641 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 52*m + 715. Give d(-53).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - w - w)*(5*w**2 - 5*w**2 - 8*w**3)*(4 - 4 - 1).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -188041710397?\nAnswer: -188041710394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*s - 7*s + 9, 0 = 5*s - 3*w - 7. Factor -61*u**s + 3*u**3 + 40 + 11*u + 25*u - 13*u - 5*u.\nAnswer: (u - 20)*(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 11 + -3 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a - 1. Let f = 7 - 4. Let q be ((-6)\/(-4))\/(f\/(-4)). Let o(x) = 2 + 16*x - 9*x - 4. What is q*o(v) + 5*r(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22 + -2)*10\/(-6). Suppose -s + 0*s - f = -20, -5*f = 2*s - b. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p - 201 = 64. Let s(k) = 10*k**3 + 14*k**2 - 14*k. Let j(o) = -o**3 - o**2 + o. Give p*s(f) + 70*j(f).\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44748)\/1560 + 30 - (-6)\/(-5)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 5 + 5 - 2)*(-328419*u + 328419*u - 7175*u**3) in the form d*u**4 + f*u**2 + i*u**3 + t + x*u and give d.\nAnswer: -14350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-540)*-54*22\/(-55).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1980000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 8. Let c be p(7). Let m = -24 + c. Calculate the remainder when m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306441 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22792 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: Two letters picked without replacement from szzlzzizszzvzzvvzvvs. What is prob of picking 2 v?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648*y = -153*y - 14850 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {j: 3, w: 1, p: 7, t: 5}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 98 = 3*y + i, 6*y - 16 = 2*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -11, 805, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 23375?\nAnswer: -23372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 362 = -366. Is (1 - 4) + 18*18 + a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 7*c - 7*c + (2 + 0 + 0)*(2*c**3 - 6*c**3 + 3*c**3).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, 0, 926, 2\/33, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3122406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5654450 divided by 6?\nAnswer: 2827225\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1361 - -646. Let r be y\/35 - 3\/(-7). What is the tens digit of 133\/4 - (-5)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Suppose 6 + 0 = -6*c. Sort 2, c, i in descending order.\nAnswer: 2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 95?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2 - 3 + 21*i + 5*i**2 - 26*i. Let o(c) = 2*c**2 - 3*c - 3. Determine 3*j(s) - 5*o(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1216)*1 + sqrt(1216) + 5)**2.\nAnswer: 224*sqrt(19) + 4913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11909.178 microseconds?\nAnswer: 0.000003308105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/(-12) + 214\/(-60) and -125\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/83)*r**30*(r*r*r**(-32))\/r**(1\/16) assuming r is positive.\nAnswer: r**(-115\/1328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.61 to 0 dps.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -1 - sqrt(2448))**2*-3 - (-1 + -1 + (sqrt(17) + 1)**2).\nAnswer: -19 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.6208 meters in nanometers?\nAnswer: 48620800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -168 in 1, 0.3, -22, 12, -1\/6?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 6*x**2 + 69)*(170*x - 8 + 8 + 69*x).\nAnswer: -1434*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -7 - 39) + 81\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10982 times -17\nAnswer: -186694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 18. Let o be (0\/2)\/1 + w. Solve -c + o*c = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -417992890, -417992889, -417992888, -417992887?\n\"Answer: r - 417992891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f + 334 = 3*z + 29*f, 4*f = 2*z - 220. Suppose -5*t + 45 + 95 = 0. Calculate the greatest common divisor of z and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 5:42 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*z**4 - 41*z**4 - 156 + 29 + 4*z**4 + 4*z + 8*z**2 wrt z?\nAnswer: -720*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 8, d: 7, a: 2, k: 3}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xek when three letters picked without replacement from rrexk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -359, 2, -74, -0.4 in descending order.\nAnswer: 2, -0.4, -74, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 128, 141, 156, 173?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -62*o - 26. Let u be j(-11). Let z = u + -218. Suppose 2*v = 5*v + 2*x - z, 3*v - 447 = -5*x. Calculate the greatest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 87*d**2 + 767*d + 664. Give s(-95).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(1331) + -1*sqrt(1331) + -3)*-3)**2.\nAnswer: -6534*sqrt(11) + 1449540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1 + 4*i**2 + 5*i**2 - 2*i**2 - 6. Let u be m(5). Round u to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 11) in base 12?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20344707.\nAnswer: 3, 2260523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/1749 - 1763\/12243. Let b = -2 - -2.1. What is the fourth smallest value in 1\/2, -3\/5, i, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -0.3 (c) 0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) - 273\/(-126). Do 3 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, 2, 0.1491.\nAnswer: -0.3, 0.1491, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970*i**3 - 3468*i**3 + 1257*i**3 + 1258*i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, s: 1, r: 7, g: 4, y: 1, w: 2}. What is prob of sequence zwzs?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.189232us in hours?\nAnswer: 0.00000000810812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 44*j - 1. Let r be x(-44). Is -5\/11 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**3\/3 - y**2\/2 + 6*y - 3. Let z be o(0). Let q = z + -1. Solve -5*u = j - 1, 5*j - q = -u - 0*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8204 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/(2672\/(-4676))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 47. Let l = 192 - 136. Calculate the remainder when l is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2632 (base 11) to base 12.\nAnswer: 1b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - q - q**3 - 4*q + 8. Suppose -2*p + 4 = -z, 2*z + 31 = -p + 33. Give o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3248393*i**3 + 739441*i**2?\nAnswer: -19490358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*b - 125, 6*f = 3*f - 4*b + 43. Let l(g) = -7*g - 23. What is the remainder when f is divided by l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -127, -237, -455, -817, -1359?\nAnswer: -2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:05 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -140. Suppose 24*l - 26*l = -2*p + 1368, -z = 2*l. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24040 divided by 6010?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 56 - 36. Let p be l\/2*2\/(-1). Let z = p - 13. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1184 less than 10630?\nAnswer: 10630.1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.08, -2, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 24 + 15 = 0. Factor w**i + 15*w**2 + 313*w + 4*w**3 - 333*w - 60.\nAnswer: 5*(w - 2)*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1207930.09401052 - 1207930. Let q = 0.094 - x. Round q to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 31 - 30 + a**4 + 0*a**4 - 2*a**4 - a**3 to f*a**3 + c*a + j*a**4 + s*a**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5 - 6 + 8*k)*(1 - 2 + 2).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32340 and 97020?\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51737\/(-4845) + 10 + 2*5*6\/100?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 = -12. Suppose -4*z = -3*v - 2*z + 17, 0 = -4*v + i*z + 23. Suppose 0*c + c + v*r - 29 = 0, 4*c = -2*r + 44. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9 (base 13) to base 11.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558335 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17934.271 and 0.091.\nAnswer: 1632.018661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-8)*-2)\/((-3)\/(-39)). Which is bigger: 28 or c?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284737.\nAnswer: 284737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -3.38749527.\nAnswer: -19.61250473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 + 8)) + (1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 429840 to the nearest 1000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 1 + 20 + -5 + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/187? (a) 0.06 (b) 0.2 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -139 (c) 7\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-39)*(-4421196)\/30456.\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3991 + 2663 - 1225)*(-h + 2*h - 6*h**3 + 5*h**3).\nAnswer: 2553*h**3 - 2553*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 20*s - 124 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggrmgmrmrmmmrggmm. What is prob of sequence gr?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45990 and 361788.\nAnswer: 5426820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/10 + 5083*c**2\/10 + 15231*c\/5 = 0?\nAnswer: -5077, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {d: 1, x: 6, t: 8, n: 1, o: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) -1\/3 (c) 1 (d) 695\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 63*p**3 + 5*p**2 - 29*p - 69. Give r(-2).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. Let h be r\/3 - 2\/(-6). Suppose -f = -h*f. Solve -2 = z - 3*d, -3*d + d - 2 = f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1692316941 to the nearest integer?\nAnswer: 41138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 1\/8*q - 1\/16*q**2 - 1\/24*q**3 + 1\/32*q**4 + 104. Find o, given that t(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/7242 and 85\/43806?\nAnswer: 52873842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 + 324*s**4 - 8400*s**3 + 59584*s**2 + 263424*s.\nAnswer: -4*s*(s - 28)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let m(v) = 52*v + 16. Let f(t) = -3*t + 2. Let o(p) = -8*f(p) + m(p). Calculate j(o(u)).\nAnswer: 11552*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 divided by -48.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202 + 0.788524.\nAnswer: -201.211476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624, 2122, 4618, 8112, 12604, 18094?\nAnswer: 24582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.5 (c) 5 (d) 3 (e) 4\/147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2 = d, 5*w + 9 = -2*d + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1083516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)\/q**10)\/((q\/q**(3\/8))\/(q**4*q)) assuming q is positive.\nAnswer: q**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = 85. Suppose -4*s + g = 1. Let z be (s + -5)\/(1\/3). Sort -1, z, 2 in ascending order.\nAnswer: z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -5 (c) -33 (d) -129 (e) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/40*384\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/36 - (920\/(-6) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 4*d - 8, -3 = 4*a - 5*d. Let j be (2 - a) + 0 - -3. Suppose 8*x - 342 = j*x. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2803 = -4*b, -143*b = 3*p - 139*b - 8489. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(33) + sqrt(132)\/sqrt(4)) + sqrt(33))\/((sqrt(11) + sqrt(11) + sqrt(176))*-5).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -425468620 + 640008620. What is g rounded to the nearest one million?\nAnswer: 215000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47\/4 in 5, 4, 2\/29, 0.5, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 41517?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:08 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3752*g**2*n - 663*g + n wrt g?\nAnswer: -7504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 1928 = 238*w - 918 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 3 + -2 + (-2 - -12) + -40 - -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*r - 17*r + 31*r - 12*r to the form o + k*r and give k.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = -34*y + 46 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-4 - (-7 + 5)*1). Let k(u) be the second derivative of 0*u**d + 0*u**4 + 0 + 3\/20*u**5 + 5*u + 7\/6*u**3. Find the second derivative of k(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*w**4 + 2*w**3 - 27\/4 + 9\/2*w**2 + 0*w = 0. Calculate w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1830001157?\nAnswer: 73, 1193, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1*2*(-1)\/(-18)). Let a = n - -29. Suppose -52*s - a = -57*s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11802 - 0?\nAnswer: 11802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8644880?\nAnswer: 2, 5, 108061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-9))\/(q*(q**(-3\/4)\/q)\/q*q*q)*((((q**1\/q)\/q*q)\/q)\/q)\/(q\/(q*q**(-1\/4)*q)))**(-32) assuming q is positive.\nAnswer: q**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/204492701?\nAnswer: 6\/204492701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21480 divided by -4296\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 0, -343, -616, -5, -2 in decreasing order.\nAnswer: 5, 2, 0, -2, -5, -343, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -52. Suppose d*a = 2*n - a - 24, -2*n + 3*a + 22 = 0. Calculate the least common multiple of 4 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w = -45. Let l be (-4)\/(-18) + (-235)\/w. Suppose -68*p + 72*p + t = -15, -p + 5*t = 9. Sort l, p, 0.\nAnswer: l, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13906*u**2 + 6948*u**2 + 6958*u**2 - 504*u + 3*u**3 in the form k + f*u**2 + b*u**3 + j*u and give j.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*j + 612, 23 = -3*j - 2*t + 477. Let v(b) = 8 - j*b + 2 + 153*b. Determine v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 551\/10, 0.5, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 5*p - 3. Let l be k(-3). Suppose 9 - 48 = -5*z - 2*t, l*z + 4*t = 15. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3)*2 + sqrt(3) + -3.\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 - 7e6e?\nAnswer: -7e2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (233\/29824)\/((-7)\/42).\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-1) - (-36 + 28). Calculate the greatest common factor of 26 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -25 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**6 + 16*l**5 + 901*l**2 - 2*l wrt l?\nAnswer: 1200*l**3 + 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 8*t**2 - 18*t - 11. Let z be s(8). Let j = -13 - z. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48334593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -395*u**3 - 24750*u**2 - 63000*u.\nAnswer: -5*u*(u + 60)*(79*u + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:56 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 - -223. Let j = 100 - 56. Suppose 5*t + p - j = -3*p, -72 = -5*t + 3*p. What is the remainder when s is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Let s(j) = 2*j + 3. Let t be s(-3). Let y be (-2)\/(t*2\/(-3)). Sort w, 0, y.\nAnswer: y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7.24 (b) 5 (c) -2\/3 (d) 7 (e) -2\/13 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -2*x + 6*x. Suppose -4*t + r - 4 = 0, 0 = -3*t + 4*r - 5*r - 3. Let m be (-26)\/t - (-4 - -3). Solve -5*g + x = -2*h, 3*g - 2*h + 5 = m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 3\/7 (c) -14 (d) -12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from napppnpmavvaavnppnvn. Give prob of sequence vpnp.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001785 rounded to five dps?\nAnswer: 0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 1. Let k be d(3). Let r = -8 + k. Let w(g) = g + 8. Let o(j) = 4*j + 33. Let n(m) = 2*o(m) - 9*w(m). Give n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 99\/32 (c) -1\/10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 + 214 + 3*d**2 + 467*d**3 + d - 212 - 5*d**2 in the form t*d**2 + f*d**4 + s*d**3 + b + k*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*a + 31 = 0, -z = -4*a + 2*a + 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:19 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2528*p*q*r + 5*p*q - 2*p*r - p - 4*q*r + 91728*q - 4*r - 1 wrt p.\nAnswer: -2528*q*r + 5*q - 2*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from wwilsfsiii?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 159. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -25*x**2 - 104*x - 15. Let l(m) = 8*m**2 + 37*m + 5. Let v(i) = -6*j(i) - 17*l(i). Let y(z) = -13*z**2 + 6*z - 6. Calculate -6*v(t) - 5*y(t).\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31733513?\nAnswer: 7, 997, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + q + 26 = 6*q, 0 = 4*l + 4*q - 24. Let p = -0.5 + 0.8. Suppose 3*h + 2*h = -15. Put h, p, l in ascending order.\nAnswer: h, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779071745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12983 - 17390. What is the closest to 2\/9 in k, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.2 (b) -0.128 (c) -8 (d) -7\/9 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 2:17 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202477 - 1422958\/7. Let j = -804 - c. Find the common denominator of -9\/5 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*i + 133*i - 53 = -3 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/3, -5, 0.04, 0.4, -283\/2, 2\/51, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*x - 8 = 0, 5*x = 4*x + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**3 - 7*f**2 + 7*f + 17. Let n(h) = 4*h**3 - 3*h**2 + 3*h + 8. Give -14*n(k) + 6*z(k).\nAnswer: -2*k**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 2 + 9*b**2 + 3*b - b**3 + 6*b**2 - b**2. Let u be y(9). Suppose 3*f = -4*m + u, m - 3*f + 5 = -0*f. Solve 2*d = m*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.069887 * -33\nAnswer: 2.306271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -251522.039 - -251313. Let a = b - -209. Round a to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {b: 1, i: 3, x: 3, w: 3, k: 5, o: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4454*i = -1735*i + 32628 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -9942315369676.\nAnswer: -9942315369675.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7804 + 21378. List the prime factors of q.\nAnswer: 2, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104500 by 50.\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 2:19 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + (sqrt(90) - (sqrt(90) + -1*sqrt(90))))\/sqrt(5))\/sqrt(9) - (2 + sqrt(14)\/sqrt(7) + 4).\nAnswer: -6 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 w when three letters picked without replacement from {x: 3, j: 2, m: 1, w: 1, f: 3, n: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - 0.5. Let g = 11 - 20. Let f = g - -8.6. Put u, 0.4, f in ascending order.\nAnswer: u, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, -40, -275, -614, -1063, -1628?\nAnswer: -2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 454534515 and 454534513 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -14, -4 in descending order.\nAnswer: 2, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4390 by -4390.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 25*n = -4*s + 18, 4*n + s - 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhehhhehhheehhhehhh. Give prob of sequence ehe.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 9) to base 7\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 567 - 563. Which is the second biggest value? (a) -2\/23 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175397 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 10 - 15)*(-1 + 3 - 4)*(-2*q**4 - 12*q**4 - 8*q**4).\nAnswer: -968*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-30)\/(-9) + (-442)\/255).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -7. Suppose i*x - 5*x - 220 = 0. Let y = x + -24. Calculate the highest common factor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990520 is divided by 498?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 11*b - 2. Let p(r) = r**2 - 1. Determine k(z) + 4*p(z).\nAnswer: -z**2 + 11*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zzqqcczxz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*u - 5*c + 44, 5*c = 4*u - 10. What is the smallest value in -2, -1\/255, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxwixxpxxswxpspxxw. What is prob of picking 1 i and 2 w?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.00773 - -4.44973. Let r = w + -4.96. Let f = r - -0.5. What is f rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + g = 4, 4*b + 192*g - 196*g = -28 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 2*x - 2. Let k(b) = -1 + b + 0*b**2 + 2*b**2 - 3*b**2. Let q be 5\/(-1)*(12\/20 + 0). Calculate q*k(g) + r(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 2, v: 1, t: 4}. Give prob of sequence fve.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6205679253 to the power of 1\/2, to the nearest integer?\nAnswer: 78776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 204 + 76. Let k be (d\/30)\/(4\/(-18)). What is the highest common factor of 189 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36355 (base 7) to base 10\nAnswer: -9448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9710*v - 12590*v + 18906*v to the form r*v + m and give r.\nAnswer: -3394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*v + 2 - 25*v + 259 - 259 + (-6*v + 3*v + 2*v)*(2 + 0 - 3))*(-v + 5*v - 5*v)*(-v**2 + 0*v**2 + 0*v**2).\nAnswer: -26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9299747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*f - 12, 12 = 11*j - 7*j - 4*f. Suppose 0 = w - j*t, -6*w + t = -2*w. What is u in -8\/7*u + 4\/7*u**2 - 12\/7*u**4 + w + 16\/7*u**3 = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -1.2. Suppose 2*j + 26 = -4*o, 6*o + 36 = -4*j + 2*o. Let w(v) = -v**2 - 2*v + 17. Let g be w(j). Put g, x, 1 in descending order.\nAnswer: g, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-2))\/(4\/(-2)). Let m be -2*(w - 2\/(-4)). Let h(y) = -47*y**2 + 1 - 2*y + 48*y**2 + 0 - y**3. Give h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*m + 254*m + 80 = 0. Suppose -m*j = 125 - 333. Suppose 3*a = -d + 49 + 61, -2*a = 4*d - 420. Calculate the greatest common factor of j and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/14*(-6)\/(-20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -34. Suppose -i = p + 3*i - 395, 4*i - 1209 = -g*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 t(x) = 138*x**2 + x - 1. Let z be t(1). Suppose 0 = -10*q + 16*q - z. What is the remainder when 114 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 1021360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 23, 0, -43, -112, -213?\n\"Answer: -c**3 - c**2 + c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(76) + 0.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - ((-63 - 37) + 106).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 3. Suppose -j = -4*j + 6. Suppose 3*l = f - 13, -2*l - l + 3*f - 15 = 0. Let h = j + l. What is p(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.0229nm in kilometers?\nAnswer: 0.0000000003760229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - 4*a**2 - 4*a + 2. Let c be b(-4). Suppose 7*z - c = 2*z. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-878150)\/(-7527))\/((4\/(-3))\/(-1))*(-12)\/(-14)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 143241, 143245, 143249, 143253, 143257?\n\"Answer: 4*q + 143237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 709169663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.204 - 0.004. Which is the smallest value? (a) 2 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(c\/(c*c**(16\/7)*c*c)*c))*c\/c**(6\/17) assuming c is positive.\nAnswer: c**(-195\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011011001001 (base 2) in base 10?\nAnswer: 18121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797540270.\nAnswer: 2, 3, 5, 31, 1932839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/2 + (-8 - -32) + -25. Sort 3, 5, k, -14, -4.\nAnswer: -14, -4, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) 3\/5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 - 9*f + 4. Let h be q(-2). What is the closest to h in -4, 1.3, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7340 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and (-10)\/(-6)*7*(-108)\/(-420).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(2)*6)\/sqrt(1600) + 2.\nAnswer: 3*sqrt(13)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s + 2*s)*(-47034 + 245*s + 47034 - 915*s).\nAnswer: -670*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i = 55*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*l + 59*l + z - 2, 2*l = -5*z - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 4*d - 3. What is u(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 214357469 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1013, -1596, -2177, -2756, -3333, -3908?\n\"Answer: w**2 - 586*w - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -89*z + 54. Let a(x) = -352*x + 216. Let u(p) = 4*a(p) - 18*g(p). What is the tens digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22485, 22483, 22481, 22479?\n\"Answer: -2*s + 22487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 0 - 2 + 9*p)*(2 - 2*p**2 - 2 + (4 - 4 - p)*(1 - p - 1)).\nAnswer: -15*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-549)\/(3*3\/18). Is 4 - 4\/(8\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 10 (c) 0 (d) -4\/5 (e) -332\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546 and 2072772.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbabaabbb. What is prob of picking 4 a?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 25*o**3 - 2*o**2 - 2*o - 2. Let q be h(-2). List the prime factors of (-4)\/(-10) + q\/(-10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + i = -i - 54, -h - 27 = 2*i. Let r = 11 - h. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**3 - 1873*f + 1873*f.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/49 and 2\/(-35)*(-55)\/20.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1504789, 3009612, 4514541, 6019630, 7524933, 9030504, 10536397, 12042666?\nAnswer: 13549365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 9*n**8\/1120 - 37*n**5\/30 + n**4\/6 + 13*n**3\/2 - 117*n. Let i(c) be the third derivative of z(c). Differentiate i(r) wrt r.\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7703 - 15435 + 7732 + 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1982881 (base 10) to base 4.\nAnswer: -13210012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -25. Solve -4*f**3 - 8*f + 4 - 9 + s - 10*f**2 + 0 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k - 4. Let h = 15 + -15.2. Sort -0.3, h, k in decreasing order.\nAnswer: k, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Suppose 3*t = 9 - 0. Sort -4, o, t in descending order.\nAnswer: t, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 3 + 2266*r - 14 + 5 + 723*r as o + h*r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*y + 1653 - 4617 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -p + 4, 5*b + 135 = 3*p + 123 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 380 divided by -2\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4\/2 + 1160*t**3 - 280065*t**2\/2 + 1224665*t + 7214060 = 0. What is t?\nAnswer: -4, 14, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2. Let h(t) be the first derivative of -t**2\/2 + 6. Calculate h(r(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46\/5 of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3 = 2*v, 2*k = -2*v + 5 - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -179420 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -323883 times 5.87\nAnswer: -1901193.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-261)\/45)\/(-1))\/(4*9\/(-180)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8065*i - 80506. What is v(-10)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 39173276\nAnswer: -3\/39173276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5 - 23*k + 8*k - 2 + 6*k + 11*k. Let s be 3\/2 - 1\/(-2). Suppose s = 3*f - 4*f. Determine c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) - ((sqrt(343) + sqrt(343)*-2)**2 + -4) - (sqrt(343) + -4*(sqrt(343) + -2)).\nAnswer: -347 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*t + 75, 4*i - 4*t - 72 = -0*i. Suppose 14*y - i*y + j + 3 = 0, -y - 3*j - 13 = 0. Solve y*k + 2*o = -4, 2*o + 3 = o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*q + 4*i - 25, -5*q + i - 5 = 0. Let n = q - 0. Suppose -2*o + 3*o + 1 = -4*k, n = 3*k - 5*o - 28. Solve 2*w + k + 9 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123997639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 2. Let v(a) = -2*a**2 + 3. Let c = 59 + -56. What is c*s(y) + 2*v(y)?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 9:20 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 68*x**2 + 28*x**2 + 33*x**2 + 24*x**2 - 103*x**2.\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41716 - 0.42. What is d rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2265130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9865877 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112849*j**2 + 0 - 141*j**3 - 112852*j**2 - 71*j**3 - 3616*j + 0 wrt j?\nAnswer: -1272*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/1258 + -25777\/5032. Calculate the common denominator of 121\/12 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -13, -42, -101, -202, -357, -578?\n\"Answer: -2*g**3 + 3*g**2 - 6*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -378. Let s = 1954 + -1870. Calculate the greatest common factor of s and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53118\/(-19068))\/(5\/(35\/6)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.05 - 5. Let p = -4.7893 + -0.2107. Let x be -1*4 - (-90)\/25. What is the nearest to x in o, 2, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 36.63. Let v = r + 0.03. Let f = 49 - 47. What is the nearest to 1 in v, f, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 3 - (-84)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/5)\/((-4)\/20). Let h be ((-9)\/(-5))\/(12\/80). Differentiate -28 + h + 17 + o*p**2 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.0007 - -4. Round v to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14211 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62961 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.036 + 0.022. What is m rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-1)\/204). Let o = m + -99. Sort 0, -4, o.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = d - 3, 4*b - 5*d + 20 = 0. Suppose b = -4*t + 5*r + 2 + 11, 5 = t - 3*r. What is the lowest common multiple of 30*(15\/(-9) - -2) and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2)**(2\/19)*a*a\/(a\/(a*a**0))*a**2)**(34\/9))**(-2\/113) assuming a is positive.\nAnswer: a**(-5440\/19323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41485*l**2 + 39700*l.\nAnswer: -82970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 12 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276153 is divided by 1565.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 2. Let v(n) = n - 1. Let t(q) = h(q) + v(q). Calculate the remainder when 51 is divided by t(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffg when three letters picked without replacement from {g: 1, c: 7, t: 1, f: 5}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, -23, -250, -693, -1424, -2515, -4038?\nAnswer: -6065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.914087 millimeters in nanometers?\nAnswer: 5914087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -226 - 3?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06208 and -10631441.17.\nAnswer: -10631441.10792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 246\/336613?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 19 - -24 - 34\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*15\/(-10))\/(-3)*(-27)\/6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 4*m = 3*x - 87412, 5*x - m + 87397 = 0. Let r = -30960 - x. What is r rounded to the nearest 100?\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 4*x + 3*x - 45 = 2*x, 15*x - 6*x = 2*l - 6*x - 365 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376 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 p(m) = 193*m**2 - 75*m + 35. Let s(j) = -38*j**2 + 14*j - 7. Determine 2*p(b) + 11*s(b).\nAnswer: -32*b**2 + 4*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5674020 divided by -12\nAnswer: 472835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 3*b)*(-3 + 0 + 2) + (0 + 3 + 0)*(b + 2*b - b) - 16*b + 13*b - 19*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/7 + 368*w**2\/7 - 15200*w\/7 - 66816\/7 = 0 for w.\nAnswer: -4, 72, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 23 = -4*j + 3*z, 4*j - 21 = z. Suppose -2*t + 9 = -j*t. Let l be -180*(6\/t - -3). Round l to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - f**2 - 3*f - 3. Let k(b) = 12*b**3 + 2*b**2 + 8*b + 8. What is -3*k(h) - 8*x(h)?\nAnswer: -4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(144) + (2*sqrt(144) - sqrt(144)))\/sqrt(8) + sqrt(18)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z + 12. What is the remainder when t(-6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76 + 55208?\nAnswer: 55283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (5733\/(-52))\/(15\/(-500))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254 + 508. Let i = 254.4 - x. Let j(o) = -3*o - 4. Let r be j(6). Which is the closest to r? (a) i (b) 1\/10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(8) + sqrt(72)\/sqrt(9))*6)\/(-3*3*sqrt(441) - sqrt(441)) + 0.\nAnswer: -3*sqrt(7)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30415? (a) -0.4 (b) -0.5 (c) 50.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/11 (c) -6 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-94 + 5)\/(4\/(-12)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 3 + 3*s)*(4742*s - 2883*s - 2580*s) as h*s + i + t*s**2 and give t.\nAnswer: -2163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)\/(o*o**2))\/((o**(3\/5)\/o)\/o*(o**(-1\/4)\/o)\/o))\/((o**(1\/2))**(-8)\/(o\/(o*o**(-2\/5)))**(-50)) assuming o is positive.\nAnswer: o**(-941\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-49)\/46) + 2 + 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**6\/360 + 11*a**3\/6 - 2*a. Let b(m) be the second derivative of g(m). Let n(p) = -2*p**2 - 2. Determine 3*b(z) - n(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-30) - (-118)\/(-12). Let r = 23 + m. What is the remainder when 51 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-685844 - 1791*j + 685844)*(-2*j - 4*j + 4*j) to the form w*j**2 + l + r*j and give w.\nAnswer: 3582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.61 - -0.39. Let g = l - 16. What is the second biggest value in -1\/2, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -36, 2\/11, -2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23796455, -23796456, -23796457, -23796458, -23796459?\nAnswer: -23796460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198513827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 4*g - 294. Let a(f) = -f**2 + 16*f + 6. Let z be a(9). Suppose g = 4*j - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*n = 18. Suppose j = 4*r - 21, -j - j - n = -2*r. Solve 0 = -r*y - 7 - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -231540847 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 36 = 10*g. Let v(n) = -9*n - g*n + 31*n - 11*n. Let f(u) = -59 + 6*u**2 + 59. What is v(f(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**2 - 24 + 11*s**4 - 9*s**2 + 24 wrt s?\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1548 + 1773. Is r a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22)\/22)\/((-2)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -91. Let u = 1 - 3\/4. Which is the smallest value? (a) o (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65761548989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203997950 a multiple of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434308716.\nAnswer: 2, 358577179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*l**3*v**2 + 6*l**3*v + 7*l**3 + 596*l**2*v**2 - 2*l*v + 83*v wrt l?\nAnswer: 120*v**2 + 36*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*5*(-4 + (sqrt(468) - (sqrt(468)*1 + sqrt(468) + 2)))*5.\nAnswer: -150*sqrt(13) - 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.77 + -5.23. Let m = z - -6.0017. Let x = 0.001973 - m. Round x to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 - 82. Let r be (-1*1)\/((-53)\/106). Suppose -2*s = r*v - 0*s - 16, -3*v = 5*s - 30. What is the greatest common divisor of j and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117502 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173380*5.\nAnswer: 866900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Suppose -2 = -c - c, -95 = l - 5*c. Let i(o) = o**2 - o. Let f(g) = -36*g**2 + 30*g. Let q(y) = l*i(y) - 3*f(y). Determine b(q(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 106*o - 6 + 56*o - o**3 + 55*o.\nAnswer: -(o - 3)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -193 and 89.7932.\nAnswer: -17330.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*u + 153 - 153 + (-15 + 15 + 44*u)*(-2 - 8 + 4).\nAnswer: -247*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*d = -4*d + 43, 4*j = -4*d + 60. What is the highest common factor of 26 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1937346 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(33)\/sqrt(75) + ((sqrt(11) + 2)*5 - sqrt(11)))**2.\nAnswer: 84*sqrt(11) + 7351\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -368b23 + -2d?\nAnswer: -368b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-5 + 14 + (7 - 2) + -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -34. Let v(n) = 45*n**2 - 8*n + 12. Is v(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161048\/17676 - 2\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -500, -2102, -4796, -8606, -13556, -19670?\n\"Answer: -4*g**3 - 522*g**2 - 8*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -7*i**5\/20 + i**3\/6 + i**2\/2 + 5*i. Let v = -23 + 22. What is g(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55.2067 tonnes?\nAnswer: 55206700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {n: 1, m: 2, o: 1, t: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 68065.01ml in litres?\nAnswer: 68.06501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/13 <= 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77, -76, -75, -74, -73, -72?\n\"Answer: f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 11. Let k(b) = -2*b. Let h be k(4). Let t be c(h). Suppose 34 - 151 = -t*d. What is the highest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + 1\/(-10)*37 and 1 - (2 + -9*66\/(-72)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1474)\/(-5159))\/((-3)\/(-28))*(-465)\/(-20)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zulipdz. Give prob of picking 1 d, 1 i, 1 u, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*q + 25 = 188*q. What is the remainder when (-147453)\/(-1587) - (q\/23 + 1) is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*x - 225 = 240*x. Suppose -g + 2*g = 4. Solve -4*z + g*y = -3*z + x, 3*z + 2*y = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - r = 2, 4*r = -w + 2 + 5. Solve w*a - 19 = 5*o, 3*o = -2*a + 4*a - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22032 and 1458.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c**3 - 78421959*c + 78421959*c.\nAnswer: 46*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 120?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.467702ng to kilograms.\nAnswer: 0.000000000008467702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/8*4\/(-2). Suppose -2*u + 35 = a*u. Differentiate 5*t + 2*t - u*t + t + 6 wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 9. Solve 10 = 4*a - z*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15. Suppose 30 = x*d - 3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*m = 76*m + 780. What is the remainder when 367 is divided by m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.115635 to 3 decimal places.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p - 15. Let r(w) = -8*w + 14. Let c(l) = 4*q(l) + 5*r(l). Let h be c(-8). What is the highest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985*g = 995*g - 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*102\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 62 + 24 = -5*w, 3*o = -2*w + 13. What is the remainder when 25 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 + 0.09. Let z = -5.93 + w. Let n = z + 5. What is the second biggest value in -0.4, -2\/13, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 19 = 1. Let u = -14 - w. Find the first derivative of 4 - 4*d**u + 15*d**2 - 15*d**2 wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 2 + 109*v**2 + 5 + 2*v**2.\nAnswer: 111*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*p**3 - 8 - 844*p - 2 + 844*p wrt p?\nAnswer: -114*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4036 + 3*l**2 - 4*l**2 - 4566 in the form t*l**2 + s + a*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 z when three letters picked without replacement from zqqzqmn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 32 - 47)*(-t**3 + 2*t**3 - 4*t**3) in the form y*t**2 + w*t**3 + l*t + s and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:09 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u - 78. Let p = -23 - u. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p - 9*p + 0*p)*(-156 - 39 + 60) + 3*p + 2*p - 2*p as m + x*p and give x.\nAnswer: 1758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47305570 (base 8) to base 9\nAnswer: -21376032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 0 + 1 + (15 - 24) + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34155 + 591?\nAnswer: 34746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032\/(-172) + (10 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-15)\/u))**(-3\/4)\/(u**27*u*u)**(-44) assuming u is positive.\nAnswer: u**(5053\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14189627\/3 or 4729877?\nAnswer: 4729877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 2. What is t(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3919365533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*q**2 + 7 + 8*q**2 + 46*q**2.\nAnswer: -q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 26*c + 112. Let b(d) = 4*d**2 + 38*d + 156. Let l(v) = -5*b(v) + 7*h(v). Calculate l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 387308873 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 304aa (base 12) in base 5?\nAnswer: 4003124","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6)*18\/4. Let r = v - 1. Let z be (4\/8 - -1)*14. Solve -4*h = -3*d - 17, r*d + 3*h = z - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.125 - 0.045. Let n = 4.72 + m. Let i = n - 4.809. What is i rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(19158\/12 - 4). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35095 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1138*f**5 + 292*f**5 + 748*f**5 + 188*f**5 - 5*f**2 - 165*f + 310*f**5 wrt f.\nAnswer: 160560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/4 + 361*j**2\/2 + j\/4 - 361\/2 = 0. What is j?\nAnswer: -1, 1, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 3*q**2 - q + 0 - 3*q**2 - 6*q**2 + 2 to t*q**2 + h + v*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 6*w - 5. Let g be p(4). Suppose -2*y - 1 = g*f - 5, -4*f + 2*y = 4. Suppose f = -o + 3*j + 19, 0*o + 3*j = 3*o - 33. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 30 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4, 11*q - 1330*f = -1332*f - 240 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Suppose d + 0 + 5 = 2*c, -5*c + i*d + 5 = 0. Calculate the highest common factor of 20 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20c15e (base 16) to base 2\nAnswer: -1000001100000101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -149. Let y = f - -162. Let b = y + -51.0039. What is b rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/3, -4, -0.5, -0.4 in increasing order.\nAnswer: -4, -0.5, -0.4, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228889.\nAnswer: 1228889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**3 - 3*p**2 - 2*p - 1. Let z(g) = -3*g - 4. Let r be z(-3). Let d(o) = -o**3 + o**2. Let x(m) = r*d(m) + c(m). Is x(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6 = -5*j. Suppose -2*c - 5*g = 27, 2*c - 3*g + j = -1. Which is greater: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168132, 336198, 504264, 672330?\nAnswer: 840396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007307 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -128.7465?\nAnswer: -128.7465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 3*p. Find the third derivative of 0*u**2 - 6*u**2 - 32*u**p + 3*u**5 + 32*u**4 wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*u + 8 + 5, -5*a - 13 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 5 + 21*d - 3 - 14*d. Calculate i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 584*i - 3958?\nAnswer: 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -1.2. Let a = 235.6 + -240.626. Let d = a - -0.026. Which is greater: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3 - 6. Suppose -4*a + 9 = 1. What is the first derivative of a*k + k + k + m - k wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c8c39 (base 13) to base 2.\nAnswer: -10101001101100010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 417 and 973.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -303772.75.\nAnswer: -607545.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1045 (base 7) to base 14.\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 7, -6, -27?\n\"Answer: -4*j**2 + 7*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 12:29 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, 6, -4 in increasing order.\nAnswer: -4, 6, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029145 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -5 (b) -302 (c) -1\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2033 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -10. Is (-1 - 1)*(y + -8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*t = -4 - 19, 0 = 4*w + 5*t - 17. Let d(r) = 30501*r + 2. Let o be d(w). Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/735 or 1?\nAnswer: 1\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 28 = -0*f. Let b be (-4)\/(-14) + 1844\/f. Let v = -17 + 29. Calculate the greatest common divisor of b and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928414441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12\/5 - 6\/15 and (-39)\/(-65)*265 - -13.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8671.733 millennia?\nAnswer: 104060796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 + k - 9. Let m be g(0). Let d be (-578)\/m + (-4)\/18. Let r = 13 + -5. Calculate the greatest common divisor of d and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2161? (a) 2 (b) 3 (c) -38 (d) -4 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from aaaeaeaaeekaj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 120844\nAnswer: -120840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359081516?\nAnswer: 2, 4049, 22171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtttrttrrtttttrtrtr. What is prob of picking 2 t?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288248*p**4 + 225375*p.\nAnswer: 3458976*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/7)*z)*z)\/z)\/z**13*(z**(2\/21)*z*z)\/z**9 assuming z is positive.\nAnswer: z**(-415\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:50 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3010 + 1?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30995, -30977, -30931, -30845, -30707, -30505, -30227, -29861?\nAnswer: -29395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**6\/3 - 82*f**5\/5 - 237*f**4\/2 + 634*f**3\/3 + 236*f**2 - 552*f - 723. Determine v, given that o(v) = 0.\nAnswer: -6, -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.07, -1\/9, -45, -64?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-3\/5))\/y)\/y*y*y**(1\/4))**(1\/18)*((y\/y**(2\/7))**(1\/2))**24 assuming y is positive.\nAnswer: y**(21859\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10052, -0.5, -2, 5, -0.11, -1\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 21*v + 3. Let t be d(21). Put -3, -5, 0, t in ascending order.\nAnswer: -5, -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2 + 4*p + 6. Let t be (-3 + -2)\/(-3 - (4 - 8)). Is 17 a factor of z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20811274 and 8326?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 165844647 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*j = 42. Is (-8538)\/(-30) - (j\/(-5) - -2) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424206 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -100*i**2 + 2*i - 21. Let j(p) = p. What is m(j(y))?\nAnswer: -100*y**2 + 2*y - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309442 is divided by 364.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.76 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -245, 3 in decreasing order.\nAnswer: 3, 1.1, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*c - 544*c + 224 = -228*c for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i**2 + 12*i**2 + 26*i**2)*(-2*i - 7 + 0*i + 8).\nAnswer: -114*i**3 + 57*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56 (b) 1 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*a - 775*a + 1253*a - 146034 = -1383*a for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.181 - 0.181. Let l = -6.4 + 6. Which is the second smallest value? (a) -0.1 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4772135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.394 and 944.\nAnswer: 948.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 3, f: 2, n: 7}. Give prob of picking 4 n.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363570676 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -208799.\nAnswer: 3758382","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 19*u + 3 - 8 + 5 - 3.\nAnswer: 19*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -657 (b) 2\/7 (c) 6 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1825b482 + -a?\nAnswer: 1825b474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwkwnkwkw. Give prob of picking 1 n and 1 w.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l**2 - 338*l - 80. What is x(31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21328 is divided by 1122.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19494 and 15764148?\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 34*z**2 + 34*z + 7. Give f(18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3779*q + 11152*q - 3587*q + 1 - 3774*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/60 - 3*a**4\/8 + 2*a**3\/3 - 8*a**2. Give j(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 18*k - 12. Let s be i(-17). Suppose 3*o = s*m + 25, 8*o - 3*o + 5 = -m. Let c = 5 - 3. Solve v - 4*x - 19 = o, 2*v + 0 = c*x + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35725 is divided by 965?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 68 = -0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06436 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/24 - p**4\/4 - p**3 - 227*p**2 + 1. Let i(z) = -5*z**3 - 5*z - 5. What is -6*i(c) + 5*w(c)?\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25182 + 6102?\nAnswer: 30284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-7)*i**(-5)\/(i**(1\/3)*i) assuming i is positive.\nAnswer: i**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**2 - 2*f - 1. Let n(m) = -m**3 + 10*m**2 + 3*m + 2. Determine -3*b(a) - 2*n(a).\nAnswer: 2*a**3 + 4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 62 + 245. Suppose 3*b - 33*r = -35*r + 299, 0 = 3*b + 6*r - 279. Calculate the remainder when d is divided by b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -z - 50 + 130, -5*v = -3*z - 83. Which is greater: 23 or v?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2320.52958us to days.\nAnswer: 0.00000002685798125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r + 13. Let t be s(5). Let m = 55 - t. Is m equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009727002051 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by (0 - (-9)\/3)*(-1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1390719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -5*d. Find u such that 2\/3*u + 4*u**4 + d*u**2 + 0 - 14\/3*u**3 = 0.\nAnswer: -1\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/4 + 9*y**4\/4 + 9*y**3\/4 - 85*y**2\/4 + 6*y + 27 = 0.\nAnswer: -3, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -364, -1180, -2760, -5356, -9220?\nAnswer: -14604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*g - 2, -80*n = -77*n + 3*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289\/1084 - -9\/542. Which is the smallest value? (a) j (b) 2\/7 (c) -2 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-2) - (-10 - (5 + -15)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 398\/40 + (55 - 65)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161593 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 y = -23 - -26. Suppose 3*x - 168 = -2*a, 0*x - 12 = y*x. What is the highest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/3)\/(w*(w\/(w**(-7)*w))\/w*w*w))\/(w**10*w**(9\/2)) assuming w is positive.\nAnswer: w**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 - -19052?\nAnswer: 19131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 15, -3*x - a - 12 = 3*a. Suppose -65 = -4*w + v, x = w + v - 33 + 13. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 8 = 3*m. Let h(y) = -129*y**3 + 4*y**2 + 3*y. What is the hundreds digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1815 = 5*c - 4*h - h, -3*c = 2*h - 1089. Suppose -3*y + c = -b, 4*y = b - 173 + 657. Calculate the highest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 43, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + 1 + 3 - 6 + (-2 + 0 + 4)*(0 + 6 - 4) - 4 + 2 + 1 + 0 + 2 + 0)*(1958 + 57*j - 1958).\nAnswer: 57*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-10 - 35) + 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + 2 + sqrt(108) + -4 + sqrt(108))**2 + (sqrt(108) - (2 + sqrt(108)*-2)) + sqrt(108).\nAnswer: -72*sqrt(3) + 1730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 14. Let c be 6\/21 + (-8193)\/(-3738). Let f = c + 2\/89. Calculate the common denominator of a and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 41 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -11 - (0 - 7) - (5 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**3 - 26*u**2 - 43*u. Let a(h) = -6*h - 52. Let b(g) = 4*a(g) - 5*q(g). Let v be b(24). Round v to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*q + 23, -8*q + 3*q - 4*c = 2. Let f(a) = a**2 - 2*a**q - a**2 + 4*a**2. Let n(x) = 3*x**2. Calculate n(f(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**5\/80 - 3*v**4\/16 - v**3\/3 + 85*v. Determine j so that x(j) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 + -203. Suppose 0 = 2*l - 5*l - 4*k + 3486, 4*l + k - 4648 = m. What are the prime factors of l?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3)\/x**6)\/(x*x**(-5\/3)\/x*(x**9*x)\/x*x)*((((x*x\/(x\/(x**(1\/4)\/x)))\/x)\/x)\/(x\/x**(-11)))**38 assuming x is positive.\nAnswer: x**(-3229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 3\/7, 1\/3, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -10 + -2 + (-124040)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 12 - 21)*(-1 + 3 - 5)*(-3 + 1 + 3)*(1 + 0 + 3)*(0*t + 4*t + 0*t) to v*t + c and give v.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2800) + (sqrt(2800) - (-2*sqrt(2800)*4 - sqrt(2800) - sqrt(2800))))\/((sqrt(576) - 2*sqrt(576) - sqrt(576))*2 - sqrt(576)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = g - 11, -2*s - 97 + 105 = 4*g. Solve -g*k + 8 = -2*n, 12*k = 17*k - 2*n - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 5\/6, -0.3, -0.2, -222?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5\/2 + 189*n**4\/2 + 1595*n**3\/2 - 3453*n**2\/2 - 28265*n - 59100 = 0?\nAnswer: -5, -4, 6, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54086195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 15. Let a be l\/(-8 - -2)*2. Is a greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/4 - 4795*z\/4 - 94300 = 0.\nAnswer: -4715, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 12:35 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x + x**3 + 3*x - 7 - 5*x**2 + x**2. Let t be b(5). Solve t*d = -4*l - 0*d - 19, -5*d - 20 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -48, -86, -182, -360, -644?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.125 - -0.225. Let a = 20.3 + u. Put -2\/13, -5, a in descending order.\nAnswer: a, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 17*m**2 + 16*m - 29. Let y be x(-15). Suppose y = 21*g - 29. Solve s + g - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 92 = 0. Suppose -k - 15 = 5*b, -b = -3*k + b + q. Suppose 3*i = -k*y - 1, -4*y - 8 = -2*i + 6. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18239656 times 0.1\nAnswer: 1823965.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {v: 1, b: 2, k: 7}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 5. Let o(l) = l + 15. Let k = 0 - -1. Let w = k + -12. Let s be o(w). Determine u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450 by -628907.\nAnswer: -450\/628907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 846*c*d**3*p + 8*c*d**3 - 3*c*d*p + 25975*c - 2*d**3*p - 59*d**3 + 3*d**2*p - 4*d - 51*p wrt d?\nAnswer: 5076*c*p + 48*c - 12*p - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 48, -16*r - a - 4*a - 19 + 11 = -12*r - 0*a + 128 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -16. Let u = 4 - 6. Which is the nearest to 1? (a) -5 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(34)\/(sqrt(2) - (sqrt(16)\/sqrt(32) - sqrt(2))) + (-1*(sqrt(17) + -1) + -4 + sqrt(68))*-2 + 1)*3.\nAnswer: -10*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5536581878 less than -4.836?\nAnswer: 5536581873.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 6, m: 3, a: 2, x: 2, v: 4}. Give prob of picking 1 v and 2 m.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 18, 51, 100?\n\"Answer: 8*h**2 - 7*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11158, -11159, -11160, -11161, -11162?\nAnswer: -11163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3339 and 1731033.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -839.9, 3, -1253\/5 in descending order.\nAnswer: 3, -1253\/5, -839.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 + -342. Let s be (o\/(-180))\/(4\/6). Let 2*m**3 + 2\/3*m**2 + 2\/3 - 2*m - s*m**4 = 0. Calculate m.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 7918654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 3*x**3 + 3*x**2 + 2*x.\nAnswer: -x*(x - 1)*(x + 2)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h + 0*h = 0. Suppose 5*y + 3 - 13 = h. Let l = -1 - -4. Solve -l*i - 5 = y*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18488168*s - 102711067 wrt s?\nAnswer: 18488168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(2) + -1 + -3 + 0)*5)**2*-5.\nAnswer: -5500 + 2000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 7. Let g be y(5). Let h(b) = 1 + 27*b**g - 21*b**3 + 3 - 6*b**2. Let n(d) = -3*d**3 + 3*d**2 - 2. Let s(f) = -3*h(f) - 7*n(f). Give s(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-12))\/(1*(-3)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32.4 and -223952.8279.\nAnswer: -223985.2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 95*q**3 + 2*q**2 + 2*q - 109. Let i(d) = -477*d**3 - 11*d**2 - 11*d + 544. Let j(n) = 10*i(n) + 55*v(n). Differentiate j(l) with respect to l.\nAnswer: 1365*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 4. Let a(q) = 1. Let j(w) = 5*a(w) - n(w). Let t be j(2). Let z = t - -15. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*x - 16, -2*x - x + 4 = 4*l. Which is the third smallest value? (a) -5 (b) 1 (c) x (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) - (sqrt(72) + 0 + sqrt(72))))**2*1.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1033920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3763 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3\/3 + t**2 - t - 1. Let m = -4 - -4. Suppose -2*o + 2 + 2 = m. Let z(b) = b**2 + b. What is o*z(s) - f(s)?\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**3 + 2. Suppose 3*a = 5 + 4. Let g be z(a). What is g rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (-17 + 2 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = 3. Let c(f) = n*f - 3*f + f. Let l(j) = -244382*j + 244382*j - 3*j**2. What is l(c(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 212 - 144. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 715312249 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 1, s: 2, a: 1, t: 1, o: 1}. What is prob of picking 1 o and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 + 0 + 0)*(1 - 1 + 6) - 6*n**2 + 2*n**2 + 2*n**2 + (3*n - n + 0*n)*(n + 0*n + n) to the form t + h*n + l*n**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 2919.9 (c) 0 (d) 0.3 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451586506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + 1 + (4*(sqrt(693) + sqrt(693)*-2 + sqrt(693)))\/(sqrt(11) + sqrt(176)*-3 + sqrt(11))*5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 + 16)*(-5)\/(-2). Suppose 0 = -2*d - 2*d + 32. Let g = 0.821 - 1.221. What is the second smallest value in g, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(35))\/sqrt(5)*-6 - (sqrt(7) - (2 + sqrt(7)*-1) - sqrt(7))*-1)**2.\nAnswer: -28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 + 39*s**2 + 5*s - 60. Calculate u(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 602.942697 and 3333?\nAnswer: 2730.057303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202978 is divided by 202946?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 327 = -319. What is the second biggest value in 24, f, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.82 + -0.42. Let w = z - 0.4. Sort -2\/5, 2\/9, w in descending order.\nAnswer: w, 2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*83\/(-7470)*-106.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-144)\/255) + 1620\/1296?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 24 = -5*j, 5569*f = 5571*f + j - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 24 = -2*n. Suppose -2*s = -3*s + n*s. Solve s*l + 0 + 1\/4*l**2 + 1\/4*l**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 3:13 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in hours?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10815174.\nAnswer: 2, 3, 37, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 22.\nAnswer: -2, 0.1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38*((-10)\/240*15)\/(1\/(-8)). Is 175 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 1. Let w(c) = 4*c**3 - 10*c**2 - 6*c - 10. What is 10*b(y) + w(y)?\nAnswer: 4*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**2 + 1777*z + 5. Let q(b) = -44*b**2 + 12438*b + 38. Determine -15*p(n) + 2*q(n).\nAnswer: 2*n**2 - 1779*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 10*x**2 - 3*x + 11. Let p be m(-11). Let q = p + 88. Solve 0 = 5*s - n - 9, -6*n + 3*n - q = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*c - 3*o, 12*c + 2*o - 29167 = -29223 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyiyyiyyyy. What is prob of picking 4 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.54843 millennia to centuries.\nAnswer: 845.4843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, 0.02, -4, -26.9, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2572*u - 2569*u - 8 = 7. Sort u, -1\/10, -38.\nAnswer: -38, -1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2471 - 1157. Suppose -2*t - 1313 = -5*h, h + t + o = 6*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4400 by 319.\nAnswer: 400\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 15, 2\/11 in ascending order.\nAnswer: 2\/11, 4, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 + 98 = 15*j. Calculate the greatest common factor of j and 14807.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + (-2)\/7 + 12992\/196. Calculate the greatest common divisor of p and 8294.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26434361 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from xxzxzx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(-1 + -2). Let v = 0.97 + -1. Let y = 3.03 + v. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -61. Let g be (j + (-2982)\/(-990))\/((-32)\/(-10)). Is 0 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 3*r**2 + 1. Let b(z) = 25*z**3 - 50*z**2 - 15*z + 20. Let p(l) = b(l) - 20*t(l). Factor p(j).\nAnswer: 5*j*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345 or -343?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 5. Let p(u) = 2*u - 5. Suppose 0*a = 3*s + 2*a - 8, 0 = 5*s - 2*a - 24. Let n be p(s). Suppose -5*z - 3*v + 6 = -0*v, -6 = z + n*v. Give b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*t**3 - 12*t**3 - 2956*t**2 + t + t + 2957*t**2 - t**4 to s*t**4 + u + r*t**2 + i*t + c*t**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4 + 2)*(-42)\/(-147)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v - 27. Give d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, -9, -1903, -5, 1, -1 in increasing order.\nAnswer: -1903, -9, -5, -2, -1, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 725118244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2\/4 - 51*a\/2 + 105\/4 = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1713 - -1713.002489. What is k rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 6*p**2 - p - 1. Let n(o) = o**2 + 13*o + 36. Let u be n(-7). Let m be w(u). Let f = -2 + m. Solve -c + 5*j = -8, 4*j + 10 - f = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b + 4*g + 4, 0 = -3*b - g + 9. Suppose 0 = -p - 2*p. Put -4, p, b in descending order.\nAnswer: b, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 6:38 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -348\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124 + -35?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:54 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4962000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 + 14 = 0. Solve 3*u - 6 = 0, -6 = q*m + u + 2*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 7 (c) -2\/11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/241 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.0489922 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086*w**2\/11 - 2084*w\/11 - 2\/11 = 0. What is w?\nAnswer: -1\/1043, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*y. List the prime factors of (y - -7)*(-10)\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 0*z + 5*z**3 + 0*z + (z**2 + 5*z**2 - 5*z**2)*(-7*z + 2*z + z).\nAnswer: z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 m when four letters picked without replacement from eseeqmsseqesqem?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + -2 - (115 - 105) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1332, -1341, -1356, -1377, -1404, -1437?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9160 and 1320872?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (16 - (19 + -14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/3, 2\/7, 0.019?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1024 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8386019687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 36 = d. Suppose -q + 2*q = 4*m + 62, -3*m - 2*q - 41 = 0. Let f = m + d. Solve 0 = 2*x + f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18*f**2 + 26*f. Let j(w) = w. Let g(a) = 2*j(a) - k(a). What is the second derivative of g(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1939 and -1.058.\nAnswer: 2051.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8218.265nm?\nAnswer: 0.000000008218265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 62?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 8 - -10 - 6) + -39?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 1. Let z be c(-7). Let n = z + 8. What is the third biggest value in n, 3, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11717 * -0.12\nAnswer: 1406.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030714747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.4 (c) -23\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63.34 + -57. Let y = p - 6. What is y rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:01 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*j + 78. Suppose -6*m + 185 = -m. Calculate the remainder when m is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-8)\/20)\/(13\/65))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -46*k - 457. What is i(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 793217 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4060 is divided by 1337.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45883528 - 130.9.\nAnswer: -45883658.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13970 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**2 - 67*i - 6. Let d(f) = 8*f**2 + 65*f + 8. Determine 2*d(x) + 3*r(x).\nAnswer: -5*x**2 - 71*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 3*d - 3*d)*(11 - 29 + 1).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 16*w + 19. Let g be i(-17). Suppose 4*s + 12 = -4*t, 3 = -4*s - g*t - 1. Let x = 506 + -503. Sort x, -9, s in ascending order.\nAnswer: -9, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/9 + 1676*l**2\/9 + 42562*l\/9 + 274456\/9 = 0.\nAnswer: -812, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/10097 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8*90\/1008*(-1)\/5\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*u + 73*u - 3*u**3 - 19*u - 11*u**2 + 4*u**3 - 25*u in the form q*u + k + y*u**3 + c*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65330.55 nanometers to centimeters.\nAnswer: 0.006533055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0 = 240. Find the common denominator of -93\/14 and 30\/20 - 70\/z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395413300 to the power of 1\/2, to the nearest integer?\nAnswer: 19885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000135 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/(((d\/(d*(d\/(d*d**(-2\/9)))\/d))\/d)\/d*d*d)*(d\/((d\/(d\/(d\/(d\/(d*d**(-6))))))\/d))\/(d\/((d\/d**(-16))\/d)))**(5\/2) assuming d is positive.\nAnswer: d**(1045\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*o - 7 - 10, -2*o = -5*h - 4. Let t(p) = -7*p + 14. What is the tens digit of t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 141140?\nAnswer: -141211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Suppose 3*d - 10 = -x, 14 = -d + 2*x + 2*x. Suppose -5*b - 2*c + 14 = 0, y*c = -d*b - 2*b + 16. Solve b*w + 1 = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 92*d - 3. What is o(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**4 + 58522*z**3 - 6*z**2 - 221315*z - 2 wrt z?\nAnswer: -12*z**2 + 351132*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81076.21 minutes in nanoseconds?\nAnswer: 4864572600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*(m**11\/m)\/m*m**12*m\/(m\/(m*m*m*m**(-38)))*(m\/m**24*m)\/m assuming m is positive.\nAnswer: m**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f. Let i = -512 - -360. Let m be 4\/38 - 1352\/i. Let s(a) = 3*a. Give m*s(h) + 2*b(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 37630\/(-9275) - (1 + ((-37)\/(-35))\/(-1)). Let h = -0.3 + 1.3. What is the closest to 2\/9 in o, h, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2227, 7679, 16357, 28261, 43391, 61747, 83329?\n\"Answer: 1613*i**2 + 613*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.57674 millennia to decades.\nAnswer: 1157.674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 211 (b) 2\/7 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2203387 * -41.\nAnswer: 90338867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -10. Suppose 32 - 137 = -3*z. Suppose 0 = -2*b + 10, -5*r - 8*b + 4*b + z = 0. What is the smallest common multiple of r and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 95 = m, 5*m - 5*r + 218 = -207. Let y = -77 - m. Let h(b) = 29*b - y*b + 2*b**2 - 16*b. Let t(f) = 3*f. Calculate h(t(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*12*(-3)\/42)\/((10404\/18)\/17)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*p**2 + 68*p + 6358.\nAnswer: 2*(p + 187)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h - 5*a + 44669 = -24*h, a + 74411 = -5*h. What is h rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 775 divided by -155\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)*s*s*s*s**(-1))\/((s\/s**4*s)\/s*s\/(s*s**(-2\/9)*s)*s)*(((s**(-2\/5)\/s)\/s)\/s**5)\/((s*s**(-5)*s*s)\/s**(-4)) assuming s is positive.\nAnswer: s**(-1501\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 30 = 60 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-18) - 5*2\/24. What is the closest to 0 in 0.5, -3\/2, i, 9\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 3*d**2 - 7*d - 1. Calculate w(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125272 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -317, -705, -1247, -1943, -2793, -3797?\nAnswer: -4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 6.80528375?\nAnswer: -6.60528375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16\/23 - -87\/92. Let v = 0.08 + -3.08. Let r = v - -2. Is r at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 5*v**3 - 3*v**3 + 3*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8085340, -16170664, -24255988, -32341312?\nAnswer: -40426636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 less than -114?\nAnswer: -116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmvmvmmmvmmvvmmmm. Give prob of picking 4 v.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, s: 2}. What is prob of sequence sww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 - 2*h**4 - 26*h**3 + 50*h**2 - 24*h = 0. Calculate h.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 397*x**2 + 5 + 14 + 396*x**2. Suppose 3*a = -5*z - 40, -2*z - a = -0*a + 15. Let h be q(z). Which is bigger: -19\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 6\/19 (c) 7959\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646304643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*s + 24169 = 797*s + 11607 - 18670 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1)*4 - ((sqrt(132)\/(sqrt(48) + sqrt(12)))**2 - sqrt(11)).\nAnswer: -47\/9 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8712 and 4008?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/4 or 351182?\nAnswer: 351182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15132853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4940.23761 to the nearest 100.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3 (c) -25 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 25\/3. Let k = 818.2 - 812.2. Which is the closest to n? (a) -4 (b) -0.01 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, m: 1, c: 2, t: 3, a: 1}. What is prob of sequence icic?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 6*m + 2. Let h be b(-3). Let o be 2 + -3 + 1 + 2. What is the second derivative of 13*r + 0*r**4 + o*r**h + 10*r**4 - 2*r**2 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*o = -142, -435 = -3*y - 0*y + 3*o. Suppose 0 = 6*h + 157 - 727. Suppose -h = -9*c + 67. Calculate the highest common divisor of y and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 9 + 23. Solve -5*u + m + 4 = 0, 4*u + m - 1 = b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277 or 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 + 49.04. Let p = h - 48.3. Let q = 2357\/15 - 157. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -4, -1, 524 in ascending order.\nAnswer: -4, -3, -1, 6, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 37 + 0 + 2 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-2))\/((-10)\/(280\/21)))\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*n + 1 + 4*n**2 + (2*n + 12*n - 6*n)*(n - 3*n + 3*n) + 2 + n**2 - 2 - 8*n**2 + 19*n**2 + 18*n**2.\nAnswer: 42*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2. Let s(o) = -2813*o - 4. Let a(q) = 45009*q + 63. Let h(t) = 4*a(t) + 63*s(t). Calculate u(h(p)).\nAnswer: 15870978*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 5*d, 140*z = -5*d - 79 - 626 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322766 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v - 31*v - 5*v + 0*v + 3*v - 4*v + (3*v - v + 0*v)*(-3 + 6 - 4) - v + 2 - 2.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8705081*0.2\nAnswer: 1741016.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18171 times -4204\nAnswer: 76390884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 319300247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(175) + 4)**2*6)*3.\nAnswer: 540*sqrt(7) + 3306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.486 - 3.486. Put h, 25, -2\/7, 0.1, 4\/7 in ascending order.\nAnswer: h, -2\/7, 0.1, 4\/7, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4170 (c) 1.2 (d) -1 (e) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {i: 4, p: 7, s: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.5 and -103.\nAnswer: -112.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2565*y - 62 = -2567*y + 6*q, -q = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 9*t - 9*t**4 - 4*t**2 + 3*t**2 - 2*t**3 + 10*t to y*t**4 + u*t**3 + o*t**2 + z + r*t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44 + 3*a**2 + 3*a**2 + 14 - 8*a**2 wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 1.3. Let s = o + -1. Let v = -2\/3117 - -9359\/12468. Which is the third biggest value? (a) 0.4 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17510551 + -3?\nAnswer: -17510554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6 and (-4 + 18)\/(12\/(-19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 = 3. Factor -35*v**l - 45*v**2 + 1571*v - 35*v**2 - 1626*v - 10.\nAnswer: -5*(v + 1)**2*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17024 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954 is divided by 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9454 - -15925. Is 54 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1580.01 micrograms?\nAnswer: 0.00000158001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2992 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 5:31 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -775356 divided by -64613?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/62, -1, 0.115, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2244, -1, 5, 0?\nAnswer: 0.2244","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -19*u + 132. Let o(g) = g**3 + u*g + 29*g - 123*g + 33*g - 4*g**2 - 4 + 29*g. Determine o(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8) + 3 + (11 - 3)\/(-8)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 336*l - 7524. Calculate a(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(4\/5))*o\/(o*o\/(o*o**(-1\/6))))**23 assuming o is positive.\nAnswer: o**(437\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 5 - 4 + 2*u**4 - 3 as q*u**2 + x + c*u**4 + k*u**3 + b*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753 (base 9) in base 8?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2862 (b) -0.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 2\/5 (c) -4 (d) 2\/37 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 8*c - 3*c - 32, 8 = 2*c. Suppose 4*i = -a*u - 0*i + 9, -i - 15 = -5*u. Let f = -5 - -9. Calculate the remainder when f is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = -u, -4*s - s = -5*u. Let j(k) = 0*k + 2 - 3*k + u*k. Let i be j(4). Calculate the highest common divisor of i and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*(-5)\/10 - -6. Suppose 6 - 2 = m*d. Suppose d*c + 3*f - 55 = 0, -4*c + c = f - 72. What is the remainder when 111 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 602 - 410. Let r = l + -111. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3*z - 6, 9*z = 12*z - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5370 divided by -205265\nAnswer: 1074\/41053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24198*x**3 - x**2 - 24640*x wrt x.\nAnswer: -145188*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(228) - sqrt(228))\/sqrt(12) + (0 + sqrt(475))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00248783754 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -87*q**2 + 19*q. Let c(u) = -3*u. What is c(t(r))?\nAnswer: 261*r**2 - 57*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25283 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13883*z**3 + 31561*z**3 - 14449*z**3.\nAnswer: 3229*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222347, 223453, 224559?\nAnswer: 225665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g - 7. Determine k(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 70. What is the greatest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*b + 72*b + 1 - 25*b + (-2 + 6 - 2)*(-5 + b + 5) as s*b + f and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 68, 176, 338, 560, 848, 1208?\n\"Answer: g**3 + 18*g**2 - g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 85*b\/3.\nAnswer: -b*(b - 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*v = -6*v - 1149, 2*o = -5*v + 1197. What is the highest common divisor of o and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Let y = g + 52. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 43418 = -2*w + 43414, -4*w - 4 = -8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 524 or 527?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 3453*i\/2 - 6898.\nAnswer: -(i - 3449)*(i - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/7 - 1426*z**2\/7 - 36700*z\/7 - 147600\/7 = 0. Calculate z.\nAnswer: -20, -5, 738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14 (b) -1\/7 (c) 0.1 (d) 0.072 (e) 130\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1663, 1946, 2195, 2392, 2519, 2558, 2491?\n\"Answer: -3*y**3 + y**2 + 301*y + 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**4 + 5*p**3 - 7*p**2 - 17*p - 12. Let c(q) = -8*q**4 - 34*q**3 + 54*q**2 + 118*q + 83. Let x(a) = -2*c(a) - 15*l(a). Suppose x(w) = 0. What is w?\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 973, 4745, 8517, 12289?\nAnswer: 16061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 8, -5*j + z + 3 + 24 = 0. Suppose j*s + 0*q - 2*q - 35 = 0, -7 = -s + 2*q. Calculate the remainder when 13 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552 and 5136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (18 - (6 + 1)) - (0 + -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 + 3*x**4 - 22*x**2 + 24*x**2 - 2*x**4 + 3*x**3 - 3*x**3 + (x + 2*x**2 - x)*(-2 + 2 - x**2))*(3*x - x + x + (4 - 1 - 2)*(2*x + 4 - 4)).\nAnswer: 10*x**5 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + 2*u**2 - 5\/6*u**3 - 20*u. Suppose -4*v + 31 = -5*t, 17 = -0*v + 5*v + t. Give g(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 1288*t**2 + 3*t**3 + 4*t**3 - 13*t**3 + 9*t - 1284*t**2 - 2. Let j(v) = 2*v**3 - 2*v**2 - 4*v + 1. Calculate -13*j(m) - 6*z(m).\nAnswer: -2*m**3 + 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42114.9 + -1366681.9. Let q = n + 1324428.999544. Let k = -138 - q. What is k rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125524 - 125524 + 145*c.\nAnswer: 145*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -149*w - 4454. What is i(-30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 818. Let z(q) = -q + 17. Give -n(l) - 4*z(l).\nAnswer: -2*l - 886","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.052217 rounded to 2 decimal places?\nAnswer: -3.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/((sqrt(32)\/sqrt(4))\/sqrt(2)))\/(sqrt(242)*-1 + sqrt(12)\/sqrt(54)))**2.\nAnswer: 117\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*d + 16 = 0, -18 = -2*v - 2*v - 5*d. Let a(m) = m + 10. Let o be a(-8). Suppose -4 = -o*p, -v*p - 15 + 71 = 4*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1180306*d**3 - 75*d**2 + d - 4102 wrt d?\nAnswer: -7081836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -342701 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13764 is divided by 178.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -60\/79 (c) -23 (d) 1\/11 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 79*b**2 - 5*b + 5. Let a be w(1). Let n = -59 + a. What is the least common multiple of n and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = 3*v. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1574307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) + (-30)\/(-9). Suppose 2*d + 2400000 = t*d. Round d to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -246, 2, -1389.\nAnswer: -1389, -246, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5.6. Let z = y - 0.2. Let w = z + -0.19936. What is w rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-3) + 8 - -2. Let s be 2 + -4 - -1 - 3. Let r = o + s. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-132) + (-1)\/(-3). Find w, given that 1\/4 - 1\/4*w + o*w**3 - 1\/4*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/60 (b) -2 (c) 1\/2 (d) 2 (e) -67\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s = -5*u - 143, 2447*u - 2446*u - s + 3 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193269 is divided by 3649.\nAnswer: 3521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 10:31 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**4 + s**2 - s - 1. Let g(y) = -19*y**4 + 6*y**2 - 15*y - 6. Let j(d) = g(d) - 6*t(d). What is the second derivative of j(k) wrt k?\nAnswer: -156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - d)*(2 + 3 - 7)*(-d + 6*d**3 + d).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, b: 2, f: 1, x: 4, t: 1, d: 1}. Give prob of sequence fd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g = 10. Let p = 10 + g. Let s(t) = -4*t**2 + 0*t**2 + 1 + p - t + 3*t. Determine s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -282*q - 1 + 1 + 307*q. Let y(l) = -6*l**2 - 3*l**2 + 11*l**2. What is m(y(f))?\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 161837 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6\/l**0*(((l*l**(-3)\/l)\/l)\/l)\/l**(1\/6) assuming l is positive.\nAnswer: l**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 582.139 + 6.561. Let j = -588.69996889 + d. What is j rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 2\/17, 6\/11 in ascending order.\nAnswer: -6, 2\/17, 6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*m = -94*m + 190. Which is the nearest to m? (a) 1.6 (b) -3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 divided by -101681?\nAnswer: -1127\/101681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1141699, -1141615, -1141531?\nAnswer: -1141447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2, -0.1, -12, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23749490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 5*i**2 - 6*i + 2. Let a be m(-6). Let b be (-23)\/(-6)*461739 + a\/4. What is b rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-912)\/(-18)*45\/6 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63\/2 + -437\/14. Which is the biggest value? (a) m (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -3, 0.13 in descending order.\nAnswer: 0.13, 0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 12*j - 36. Determine i(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 177 - 64 - 56 - 3*f - 61. Determine h(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -108*d + 46. Suppose 8*n + 3*n = -66. Is g(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 7*t + 91 - 13 = 0. Calculate the remainder when ((-6)\/9)\/((-4)\/618) is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10317, 10476, 10741, 11112, 11589, 12172, 12861?\n\"Answer: 53*m**2 + 10264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100776297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 511707*d**5 - 21486738*d**4 + 225454647*d**3 + 2185092*d**2 + 5292*d.\nAnswer: 3*d*(d - 21)**2*(413*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131 + 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-50 + (8 - -12))) + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6501 and 65\/4294206.\nAnswer: 47236266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 0 = 2*w + 2*q, 2*w + 5*q = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 460 + -428 - (36 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhmcmffc. What is prob of picking 1 f and 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-33))\/(4 + 168\/(-9)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 4. Let j be a(7). Let f = 0 + j. Is -3 - -37*24 - (-5 + f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 29. Determine b(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.083 or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48376 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 207 divided by 1\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -221, -405, -565, -689, -765?\n\"Answer: 2*g**3 - 198*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -1.9, 0.2, -358.4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73377.26 litres in millilitres?\nAnswer: 73377260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5 = 3*l + 10, -3*o + l - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -75*c. Let j(l) = 9*l**2 + 2*l. Determine y(j(a)).\nAnswer: -675*a**2 - 150*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 336 = v. What is the smallest common multiple of 3 and v?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 9*o**2 + 5*o + 5. Let u be p(-4). Let m be ((-24)\/84)\/(u\/7). What is the nearest to m in -2, -2\/9, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 196547 - 11450 = -23629. What are the prime factors of r?\nAnswer: 2, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Suppose 0 = -17*l + 15*l - 112. Let i(t) = 232*t. Let g(u) = 21*u. Let o(f) = l*g(f) + 5*i(f). Give s(o(r)).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -8\/3, -1, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*a - 81. Calculate the remainder when a is divided by (6 - 1)\/(9\/27).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 3) + -15 - -25 - -14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((0 - -28) + (-9 - -4))*(-114)\/(-6) is divided by 76.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 - 217\/2. Let w = -2832 - -8459\/3. Calculate the common denominator of w and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 1.4, -0.1, 1, -3, 1\/4, -7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8*-9*7\/(-126)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11203411002 (base 5) to base 7.\nAnswer: -211521306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/19 + 13\/57. Let c = 13902 + -13901.7. What is the nearest to b in -5, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 0 - (-112 + (9 - -19))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2\/3*x**3 + 0*x + 1\/900*x**6 - 1\/300*x**5 - 2 - 1\/30*x**4 + 0*x**2. Let h(c) be the third derivative of b(c). Factor h(s).\nAnswer: 2*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 4, -2\/75, -1\/3, 105?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**7\/60 - 23*v**6\/240 - 9*v**5\/40 - 13*v**4\/48 - v**3\/6 + v**2 + v. Let z(t) be the first derivative of j(t). Factor z(g).\nAnswer: -(g + 1)**3*(7*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4*-2*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 87)\/(-7) + 131. Let s = -16 - -46. Calculate the greatest common divisor of c and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/207756 and 74\/363573.\nAnswer: 1454292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -21*r + 398. Let i be f(19). Suppose -91 - 189 = 5*y. Let j be y\/(-90) - (-8)\/(-20). Which is the smallest value? (a) 0.2 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 + -5 + 99 + -93?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*y + 3030 = 88*y - 137*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 17. Let u be o(9). Let g be (-1)\/2*u*0. Suppose -k = 3, g = 5*y + 3*k - 7 + 1. Solve -5 = -2*t + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 35*g - 30*g. Let x(d) = -d**2 - 24*d + 5. Is 11 a factor of x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 671*x**8\/42 + 2*x**5\/15 - 13*x**4\/24 + x**3\/3 + 6494*x**2. What is the third derivative of g(u) wrt u?\nAnswer: 322080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2428 and 3792.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60258 divided by -20086?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.7065kg in micrograms?\nAnswer: 562706500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:22 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2197886 and 113306.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -118 - -1b5?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (972\/594)\/(10\/(-55))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1588 - 658 = c, -k - 3*c + 1137 = 0. Let m = -563 + k. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -4489, -9927, -17541, -27331, -39297, -53439?\nAnswer: -69757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348281.\nAnswer: 43, 77867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Let u = b + -3. What is the derivative of -h**3 - 2*h**3 - 2*h**4 + 3*h**u - 1 wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:32 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344242433 (base 5) in base 11?\nAnswer: -1a874a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/4 + 16*u + 63\/4 = 0.\nAnswer: -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18154*m - 18161*m + 36316*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53868, -9, 5.\nAnswer: -9, 5, 53868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10000*w**4 + 20565*w**2 - 1802*w**4 - 10319*w**2 wrt w?\nAnswer: 196752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -378 + 299.9. What is m rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2702 divided by 1351?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10092 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 3221*v**6\/30 + 544*v**3\/3 - 6*v - 8. Find the second derivative of m(q) wrt q.\nAnswer: 38652*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*v + 69 + 124 + 202 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 6977064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1525, -1529, -1537, -1555, -1589, -1645, -1729, -1847?\nAnswer: -2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6 = l. Find the second derivative of -l*d + 11*d - 3*d**4 - d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 28*w + 116. Let g be b(-23). Solve -5 = -a - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102 - -30?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*h - 16, -3*h - 9 = g + 1. Let q be (4 - 0) + 16 + -1. Suppose v - 5*k = q, -v + 0*k + 15 = -k. Calculate the lowest common multiple of v and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19575963?\nAnswer: 3, 11, 79, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -12\/11, 11, 3, -590?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 527?\nAnswer: 3\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 166*k + 731. What is t(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3232876.\nAnswer: 2, 769, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*i - 3, -2*i - 27 = -5*a. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 1. Let q(u) = u**2 - 5*u + 3. Let w be q(5). Let f be (-10)\/(-3) - w\/9. Sort 0.3, a, f.\nAnswer: 0.3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -7*u - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*o - 0 - 31, -8*o = 205*k - 540*k - 3*o + 955 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Suppose -5*q + 0*w = 3*w - 37, q - 2*w = -h. Let r(n) = -n**2 + 6*n - 3. What is r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12671, 26786, 42345, 59348, 77795?\n\"Answer: 722*f**2 + 11949*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - 1*sqrt(325))**2*-5*5 + (sqrt(325) + (-3 + -1*sqrt(325) + sqrt(325) - sqrt(325))**2)*1.\nAnswer: 35*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(720) - (3 + sqrt(720) + 0))*-2 + 3)**2*-4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14653, -14658, -14665, -14674, -14685?\n\"Answer: -a**2 - 2*a - 14650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o - 54. Let f = 4 - o. Is (-662)\/f + 4\/(-14) 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 1\/(-3) - (-5 + 13256\/(-24))?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/560*645\/903.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**3 - 2*q**2 - 7*q - 4. Let r be i(-3). Suppose -28 = -3*n + r. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.126 - -0.02057.\nAnswer: -0.10543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2905 - 2890. Let t(d) = -d - 1. Let x be t(-6). What is the highest common divisor of q and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891572 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 - 117. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**3 + 6*u**2 - 6*u - 9. Let w(l) = 11*l**3 + 13*l**2 - 13*l - 19. Let z(p) = p**3 - 25*p**2 + 26*p - 35. Let a be z(24). What is a*f(o) - 6*w(o)?\nAnswer: -o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 5.6, 208\/7, 0 in ascending order.\nAnswer: 0, 3, 5.6, 7, 208\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (5434\/(-715) - 16\/40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 3*a**2 + 2*a - 5. Suppose 4*r - 16 = 20. Suppose k - r = 4*k. Let z(t) = -5*t**3 - 8*t**2 - 5*t + 14. Determine k*z(b) - 8*v(b).\nAnswer: -b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 16*c - 15. Give a(-13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 182*t + 2212. Let r be h(-12). Solve -2*a = -r + 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 21 = -0*t. What is the hundreds digit of (-6 + -14)\/(t\/(-45)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 339?\nAnswer: 11865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 21 - 11 - k - 31.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:25 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -3 (c) 2\/11 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -813.71 + 817. Let m = -3.3109 + d. What is m rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -631 + 1208. Let j = f + 1775. Does 10 divide j\/(-32)*(-1 + (-2)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + (-2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 19. Suppose 4*q - 185 = 5*k, 43 = q + 5*k + 3. Suppose -2*j = -7*j - q. Let f be y(j). Solve -3*g + f = 5*h, -5*h + 0*h = -3*g - 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**(-2\/11)\/q)*q*q**(3\/4)*q**(-5)\/((((q*q**3\/q)\/q)\/q)\/q)*q**(-3)\/(q*q\/(q*q**(-4)))*(q*q**(-2\/3))**(1\/26) assuming q is positive.\nAnswer: q**(-13823\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 334, 847, 1618, 2677, 4054?\nAnswer: 5779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34776 is divided by 868?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 29*d**2 - 6300*d - 92160. What is y(231)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/11)\/k)\/k)**(-25)*(((k\/(k**(-25)*k))\/k*k)\/k)**(-28) assuming k is positive.\nAnswer: k**(-6742\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/4 + 8*n**3\/3 + 2*n**2 - 8*n + 5. Let j be -8*(-5)\/40*-7. Calculate m(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-11 + 17 - (7 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 719*n**5\/5 + 1267*n**4\/12 - n**2 - 7*n - 415. Find the third derivative of p(x) wrt x.\nAnswer: 17256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-15)\/(-2))*(-36)\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*l + 20 = 0, 4*k + 11 = 5*k + 4*l. Suppose 18 = 3*o + 2*b, 5*b = k*o + b. What is the nearest to -3 in 0, o, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -5, 2\/15, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -2) + -43 + 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -121021 (base 3) to base 15\nAnswer: -1e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p = 50. Suppose -2*y - 1 = -3*b - 5, -p = -5*y + 4*b. Solve 0 = y*x + 3*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)\/(x*x**(-4)))\/((x**1\/x)\/(x\/x**(-1\/4))))**(5\/3) assuming x is positive.\nAnswer: x**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1773989\/325032 + -6\/13543. Calculate the common denominator of -83\/152 and d.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001866172944 to seven decimal places.\nAnswer: -0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:28 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 648649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 103.997542. What is s rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 - -119. Let d be (3\/(-5))\/((-35)\/(-25)). Suppose -4*u - 4*g = -8, -g = -4 - 1. Which is the closest to u? (a) d (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 16. Determine i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 445280 = 6*d - d, 2*z = d - 89053. Suppose 10*y - d = y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 6 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6610 - 6286. Calculate the remainder when f is divided by 179.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -u - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - w + 4)*(-45752 + 45752 + 239*w**4).\nAnswer: -239*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(68)\/((sqrt(36) - (sqrt(324)\/sqrt(9) - sqrt(36)))\/sqrt(9))*6.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 67716*p**2 - 880674*p + 948388.\nAnswer: 2*(p - 33871)*(p - 1)*(p + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -19.4. Let r = u + -1.4. Let m = -2 - r. Which is the biggest value? (a) -1\/2 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 424.4 + -421. Let k = 28 + 26. Let f = k - 55. Is c > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z = -a + 45*z + 16, -4 = 4*a - z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72827*z + 48438 = -72229*z for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 23 - 5 = f, 12 = -3*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**3 + 7\/20*s**5 + 0 + 8*s**2 + 0*s + 0*s**4. Let h(q) = 2*q**2. What is j(h(z))?\nAnswer: 84*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 319*r + 425*r + 1)*(16 - 2 + 18).\nAnswer: 3392*r + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34\/285 + -1\/15. Is d at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -3*m, -2*d + 4*m - 29 = -5*d. Let l = 6 - 5. Let q be (-1)\/(-1) - (-2 - 1). Solve 0 = q*h + d*x + x - 4, 3*h = -2*x - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = z + 4*z - 2*r, 5*z - 4*r - 37 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 40) + 6 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 4*l + 5*l + 3*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898753153 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156) - -2*sqrt(156)) + sqrt(156) - (sqrt(156)*1*-6 + sqrt(156)))\/(sqrt(120)\/(1*sqrt(10)*3)).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 11195*y**4 - 1 - 5602*y**4 - 51*y**5 - 5595*y**4 + (-4 + 4 + 2*y**2)*(-2 + y**3 + 2) + 4*y**5 - y**5 + 0*y**5 - 2*y**4.\nAnswer: -46*y**5 - 4*y**4 + y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1, 64, 2\/1383?\nAnswer: 2\/1383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1021 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14628*y - 87764. Give b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 3 - (-7 - 48659) 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 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3411*x + 420559 + 36113 = 114*x - 1460*x for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m*y**2 - 5876570*m + y**2 - 115541*y wrt y?\nAnswer: -12*m*y + 2*y - 115541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 39 = -3*r, -39*r + 40*r = -4*c - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-23634.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5143 is divided by 258?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**6\/15 + p**5\/10 - 5*p**4\/3 - 4*p**3\/3 + 24*p**2 - 9*p - 48. Factor f(o).\nAnswer: 2*(o - 2)**2*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5173144 to the nearest integer?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from kccccekkjkkkkcccck?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 137*y**2 + 280*y - 44. Calculate g(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j - j**3 + 3*j + 2*j + 0*j**2 + 10 + 3*j**2 - j**4 + 2*j as z + i*j**3 + c*j**2 + d*j + q*j**4 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 86.92. Let h = u + -1.08. Which is bigger: h or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 205*m**4\/24 - 3*m**2 - 1. Let h(d) = -2*d. Determine h(o(c)).\nAnswer: -410*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3588\/1288*(65\/66 + 2\/11)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-12) - 3)\/((-320)\/(-105) + -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 2. Let y be s(-4). Let o be (-8)\/6*y\/(-4). Let z(q) = -3*q + o - 1 - 1. Let r(k) = k**2. What is z(r(h))?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8175)\/450 - (-490)\/(-84) - (-34)\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1198*d**6 + 5*d**2 - 15*d?\nAnswer: 143760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.6806 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 39.6. Let b = h - -4.399973. Round b to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35124676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}