diff --git "a/data/dm_maths/full_data/11030_11255.jsonl" "b/data/dm_maths/full_data/11030_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11030_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w(o) = -19*o + 10. Let a(z) = -12*z + 6. Let n(c) = 8*a(c) - 5*w(c). Let d(y) = y**2 + y - 1. Let q be d(2). Let x(h) = -h - 1. Calculate q*x(l) - 3*n(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*h = 25, 3*t + 2*h = 7*t + 10. Let z be (-18)\/(-140)*1 - (-81)\/(-189). Which is the biggest value? (a) 2\/7 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125647.9 + 125648. Let h = 0.3 + 0.2. What is the nearest to u in 2, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 5, d: 5}. What is prob of picking 1 j and 1 d?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w - 6. Let h be u(3). Let m be 0 - h*(0 + 1). Suppose -9*b = -10*b + m. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 31, 71, 125?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -158, -168, -196, -248, -330, -448?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:56 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5392\/9845 - -2\/895. Let o = -13\/44 - x. Factor -1\/4*s + 0 + 1\/2*s**2 - o*s**3.\nAnswer: -s*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/90*a**5 - 11*a + 4\/135*a**6 + 0 + 0*a**3 + 0*a**2 + 1\/189*a**7 - 1\/9*a**4. Determine g, given that d(g) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45898, -90711, -135524, -180337?\nAnswer: -225150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 34*q + 6*q**2 - 4 - 35*q to the form o + h*q**2 + k*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-22)*6\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**5 + 3*r**3 - 6*r. Let d(c) = 6*c**5 - 2*c**3 + 5*c. Let j(v) = -3*d(v) - 2*z(v). What is the second derivative of j(n) wrt n?\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5474*y - 4000 = -5514*y for y.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j + 10*j - 11*j)*(-3 + 3 - j**2) + 43*j**2 + 7*j**3 - 43*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547611?\nAnswer: 3, 182537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 43*g**2 + 4*g + 54. Let k(a) = -a**2 - a + 1. Let n(o) = -b(o) - 4*k(o). Differentiate n(v) wrt v.\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-5 - -1 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 1. Let o be 3 - (2 - (-3 + 4)). Let n be f(o). Solve -3*w + 2*x - 2 = -n, -3 = -3*w - 2*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Let d = -177 + 187. Calculate the lowest common multiple of d and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.1, 2.2, 0.143 in descending order.\nAnswer: 2.2, 0.143, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**4 + 11*o**2 - 10*o. Let s(w) = 4*w**2 - 3*w. Let g be 20\/56*30 - 2\/(-7). Let n(q) = g*s(q) - 4*u(q). What is the second derivative of n(k) wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3717797 and 47971.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022700 rounded to the nearest ten thousand?\nAnswer: 3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 752 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h + 3*u - 133, 3*u + 49 = 2*h. Suppose 4*b - 2*v = 8*b - 32, v = 5*b - h. Let l be 4\/b*(-48)\/(-32). Which is smaller: -0.1 or l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112518081, 112518080, 112518079, 112518078, 112518077?\nAnswer: 112518076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2*1 + 2. Let w(v) = 2*v - 2. Let i be w(3). Solve g = i - d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321429 and 4605.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231*f - 616*f + 2*x - 6 = 611*f, -2 = f + 4*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -11\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-73600)\/(-192))\/(-46))\/((-20)\/228)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 1, i: 1, x: 1, p: 2, b: 1}. Give prob of sequence pibs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72126, 144247, 216368?\nAnswer: 288489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 145*j - 2602. Let p be z(21). Solve i = k - 2, -6*k + p = -i - 2*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -74404.\nAnswer: -372020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*c**4 + 30 + 28*c**4 + 145*c**4 + 48 + 217*c**4 wrt c.\nAnswer: 1340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2619582.\nAnswer: 2, 3, 7, 97, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11335115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f*x**2 + 5*f - 23*x**2 + 21*x wrt x?\nAnswer: -12*f - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17.41, -1, 30\/217?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506087 and 826454?\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4930 and -62\/50605?\nAnswer: 1720570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17240*w + 55 = -17229*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507289375?\nAnswer: 5, 59, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 0.1, -110, 3\/2, 44\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 divided by 1?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 9*r + 12*r)*(1 - 3 + 3)*(4 + 1 + 1)*(-3*r**2 - 5*r**2 + 5*r**2).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9777462ml?\nAnswer: 0.0009777462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 257*p**3*y**4 - 16*p**3*y**2 - 1722*p**3*y - 3*y**5 + 7*y**3 wrt y?\nAnswer: 6168*p**3*y - 180*y**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 4 - 9)*(8 - 2*z - 8) + (-2 + 2 - z)*(-5 + 3 + 0) + 2*z - 1 + 1 in the form r + c*z and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2155*c**2*o**3 + 111*c**2*o**2 + 8*c**2 wrt o?\nAnswer: -12930*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z - 2. Let w be (-10)\/40 + 1\/4. Suppose 3*p = -w*p + 9. Let y(x) = -3 + 0*x + 5 - 2*x + x**p. Determine -2*s(h) - 3*y(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + 11?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 401 - 397. Solve 5*d = 9*d + k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 5 (b) 0.4 (c) 4 (d) -5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 2*u**2. Let b(v) = v + 10. Let i be b(-7). Let m(r) = r**3 + r**2. Let t(q) = i*m(q) - o(q). Find the third derivative of t(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 34 - 6 - 3*f - 1 - 10 - 7.\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -58, 0.4, 27239?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -93. Suppose 2*s - 3*z = -7, 3*s - 3*z + 1 = -g. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 365*q**4 + 2*q - 366*q**4 - 3 - 8*q**3 + 2 as x + t*q**4 + v*q + y*q**3 + u*q**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 24, 3*z - 4*b = 1201. Let u = -878 + z. Is -2*(2\/(4\/u) - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y + 11*y + 11*y + 15*y + 11*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*j - 1 - 15, -4 = -f - j. Suppose 7*p + 18 = p. Which is the biggest value? (a) -1 (b) -2 (c) f (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2354\nAnswer: -3\/2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.88 - -0.8803152. What is y rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*d - 2751, 4*x - d - 2667 - 88 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2631406*y - 2631278*y + 16256 for y.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 44 - 4. Which is the third smallest value? (a) s (b) 0.8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 7 = -3*j, j - 5939 + 5932 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(132) - (1*(-2*sqrt(132) - sqrt(132)) - sqrt(132)) - sqrt(132))\/sqrt(3))\/(2*sqrt(1296)).\nAnswer: sqrt(11)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -7 + 28. Suppose 0 = n*k + 3*v - 423, 6*k + 4*v - 707 = k. Calculate the remainder when k is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = 2*w. Let f = w - -2. What is the smallest value in -2, -0.6, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28720 is divided by 2392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 445*q - 49. Is g(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.633957 days to weeks.\nAnswer: 9.804851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177908083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:44 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1263*o**3 + 10*o**2 + o + 4. Let m(s) = -633*s**3 - 6*s**2 - s - 2. Determine -7*m(j) - 4*y(j).\nAnswer: -621*j**3 + 2*j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457714?\nAnswer: 2, 29, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**7\/42 - 4*v**3\/3 - 9*v**2. What is the first derivative of i(p) wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6499, 14377, 22255, 30133?\nAnswer: 38011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -19*g + g**2 - 71 + 192*g - 189*g. Give y(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1784*z**4 - 1325*z**3 + 1749445?\nAnswer: 7136*z**3 - 3975*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 231 - -264?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 2*o - 608, -4*o = c - 1196. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1040044113424 - 2?\nAnswer: -1040044113431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 151050.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1681 + -1680.089. Let g = z + -1. Let n = g - 0.011. Which is the biggest value? (a) -4 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 31 = 47. Let u = 1 - -4. Suppose -u*z + 30 = -2*i, -2*z - d*i + 2 = -3*z. What is the smallest value in -5, z, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - s - 73 + 73.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, 23126, -1\/8?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 2. Let z(c) = 4*c**2 + 2*c - 1. Let h be z(1). Suppose 0 = -x + 4*w - 2, 3*x + x = -3*w + 30. Let v(m) = m - 2. Determine h*v(q) + x*s(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 2. What is the second derivative of -4*t**5 + t - 2*t**5 + 5*t**z + 3*t**5 wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46490 + 2cc?\nAnswer: 4676c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 3*l + 2. Let o be c(1). Let z(d) be the first derivative of -2\/3*d**3 + 4 - 1\/2*d**4 + 1\/3*d**6 + 2\/5*d**5 + o*d**2 + 0*d. Factor z(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160.4 + 193. Let g = -0.4 - h. Let k = -37.9 - g. Round k to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 39007*c**2 + 1521546049*c\/2.\nAnswer: c*(c - 39007)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 4 - (32 + -31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f. Let t be x(2). Let y be -2*(-1 - -13)\/(4\/(-12)). What is the greatest common divisor of t and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*4\/(-8 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 14*r**2 + 7*r**3 + 2*r**4 + 15*r**2 - r + 12*r**2 + 13*r**2 - 59*r**2 in the form v + i*r**2 + p*r + n*r**4 + h*r**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:40 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3159\/2*t + 15\/2*t**2 + 945 = 0.\nAnswer: 3\/5, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (229*y**3 - 55*y**3 + 122*y**3 + (y + y**2 - y)*(4 - 4 - 2*y))*(0 + 3 - 4) in the form v*y + s + f*y**3 + p*y**2 and give f.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1042 divide 20094730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 532875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 24 = 69. Let s = 1684 + -1579. Calculate the remainder when s is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.66 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*b + 9 = -b, -b = t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 7*w**6\/24 - w**5\/15 + w**4\/24 - 7*w**3\/6 - 8*w**2. Is u(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 910*r**2 + 238*r**2 - 2 - 1402*r**2 + 247*r**2 + 2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3416203 by 3.\nAnswer: 3416203\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x = -61*x - 2788. Let g = x - 150. Calculate the lowest common multiple of g and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb408b (base 13) to base 2.\nAnswer: -100011001110011010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 2*x - 2*x**3 + (0 + 0 + 2)*(5*x**2 - 5*x**2 + 2*x**3) + x**3 - 2*x**3 + 2*x**3 + (-4 + 3 + 2)*(2*x**3 + 3*x**2 - 3*x**2) - x**3 - x**3 - 5*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**3*f**3 - 4*b**3*f**2 + 22*b**3 - 3*b - 2*f wrt f.\nAnswer: -9*b**3*f**2 - 8*b**3*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 41*g - 79. What is the least common multiple of i(18) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u + u - 4*u + (5 - 4 + 1)*(-2 - 5*u + 2) + u + 3*u - 2*u)*(0 + 4*u**2 + 0) in the form c + t*u**3 + f*u**2 + h*u and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + sqrt(405) + (-2*sqrt(405) - sqrt(405)) + -3 + 2)*-6*-5)**2.\nAnswer: -1036800*sqrt(5) + 23385600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, -3, 6, -2, -26, 25.\nAnswer: -26, -15, -3, -2, 2, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 20 = 5*c, 0*o + 4*o = 3*c - 12. Suppose 99 = c*k - k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:56 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r*x**3 + r*x**2 + 4*r*x - 1017*x**3 - 158*x wrt x.\nAnswer: -12*r - 6102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:29 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14167*a**3 + 2 + 7081*a**3 + 7075*a**3 - a)*(-a + a + 2*a) in the form w*a**4 + d*a**3 + p*a + v*a**2 + h and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*m - 20*m**2 - 134*m)*(2*m + m - 5*m) - 15*m + 15*m + 24*m**3 + 3*m**3 + 0*m**3 - 2*m**3.\nAnswer: 65*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -107*c - 8. Let z(i) = -99*i - 7. Calculate 6*p(q) - 7*z(q).\nAnswer: 51*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4012 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, -4\/3, -4, 4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 92*d - 17303. Determine a(188).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.163 + 95.163. What is the nearest to 0 in 4, y, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-1053)\/26))\/((-28)\/(-12)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 450 + -447. Let r(j) be the first derivative of 0*j**5 + 0*j**2 + i + 4\/3*j**6 + 0*j**4 + 0*j - 5\/3*j**3. What is the third derivative of r(u) wrt u?\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*p**3 + 58*p**3 - 55*p**3)*(1 - 3 + 7)*(-4 + 1 + 1).\nAnswer: -990*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.3, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789665104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4743108 to two decimal places.\nAnswer: -5.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 12*v + 7. Let j be l(-12). Round j to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/3, 0, -6, -2\/9 in decreasing order.\nAnswer: 3, 0, -2\/9, -4\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 5*j, 5*w + 1 = -4*j + 29. Suppose 2*p - 6 + 4 = -2*q, -23 = -2*p + 5*q. What is the smallest common multiple of w and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -374 (b) -0.0485 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -2768.\nAnswer: -276.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*n = -63, 2*b + 4*n = n + 123. Suppose 0 = -5*l + b + 78. Suppose 5*f + l = -4*f. Does -3 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/(12\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*d + 324 - 304, 3*d = -3*r - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67.1 - 71.1. Sort -0.3, g, 8, -0.4 in descending order.\nAnswer: 8, -0.3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1\/4 (b) 0.3 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77893?\nAnswer: 77893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from robrrrerr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9*0.02.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/16 and -12\/2765?\nAnswer: 44240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -335*u - 901. What is the thousands digit of b(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 20*p**2 + 65*p + 51. What is a(-16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {v: 6, p: 2, d: 2, z: 3, h: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r - 88 + 44*r - 11*r - 20*r.\nAnswer: -30*r - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + c - 26, 52 = -4*l + c. Let v be 5*(4 + (-96)\/15). Let w be (-4)\/v - (0 - 102\/(-9)). Is w at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i, i + 50 - 308 = 3*z. Let g = z - -339\/4. Which is the smallest value? (a) g (b) -12 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6026331 millilitres to litres.\nAnswer: 0.0006026331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 1. Calculate the remainder when (-4)\/3*(10 - 16) is divided by x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*a = -30, -3 = 4*u + 5*a - 0. Find l, given that 3*l**4 + 3*l**u - 102 + 102 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3063700 (base 9) to base 8\nAnswer: 6174133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570108 is divided by 142522?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6295 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7103261 is divided by 214.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14063?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 9 = -2*l + 4*o, -3*l - 4*o = 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -10*q. Which is smaller: q or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28006979 and 343.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4696*l**3 - 92*l - 3868878 wrt l?\nAnswer: 14088*l**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-64)\/(-24) + 2\/6. Suppose -4*b - 31 = -2*b + s*l, -2*b - 4*l = 30. Let c(g) = 2*g - 1. Let x(z) = -6*z + 3. Determine b*c(r) - 6*x(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 411*v**2 + 59*v - 7. What is the thousands digit of j(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 918\/2992 + (-1)\/8. What is the closest to 0 in y, 0.3, 190?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309212*r**2 + 309207*r**2 + 309211*r**2 - 927641*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42557, 85115, 127679, 170249, 212825, 255407, 297995?\n\"Answer: 3*x**2 + 42549*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 84 - 2*u**4 + 2107*u**2 + 6*u**3 - 2089*u**2 + 83 to the form t*u**4 + c*u**3 + f + v*u + n*u**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 1. Let k(j) = j**3 - j**2. Give -g(a) - 6*k(a).\nAnswer: -6*a**3 + 4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100732 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: Express 11*a**4 - 17*a**4 - 2*a**2 + 11*a**4 - a + 4*a**4 + 4*a**3 as m*a**4 + r*a**3 + o + s*a + l*a**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1477\/2 - -745. Let o(z) be the second derivative of 0*z**3 - 4*z + m*z**2 + 0*z**4 + 0*z**5 + 0 - 1\/6*z**6. Differentiate o(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300202 (base 5) to base 14.\nAnswer: 91b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 0*n)*(31*n + 30*n - 26*n) - n**2 - 6 + 4 - 1 + n**2 - 5*n**2 + 5*n**2 + (-n - 2*n**2 + n)*(2 - 1 + 0) + 4*n**2 - 4*n**2 - 2*n**2.\nAnswer: -74*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence httt when four letters picked without replacement from hhhthhhhhhhhhhhhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*m - 2*m - 12, 3*s = -2*m + 7. Let x = s + 3. Suppose x*a = 6 + 6. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**2 + 1\/2 - 3\/4*w.\nAnswer: (w - 2)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*h = -2 - 4, -c = 5*h + 18. Find p, given that 43*p + 16 + 5*p**2 - 4*p**c - 35*p = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255042687 to the power of 1\/4, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h - 1386 = 59*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3762 and 151164.\nAnswer: 1662804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*a**3 - 437*a**3 + 229*a**3 - 110*a**3 - 107*a**3.\nAnswer: -753*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) + 1858\/3. Suppose 0 = u - 5*u + l. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1329 and 2421?\nAnswer: 1072503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2320131010 (base 4) to base 7\nAnswer: -6264460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (268*s**2 - 133*s**2 + 303 - 137*s**2)*(-2*s + 0*s + 3*s)*((s + 5*s - 4*s)*(-2*s + 4*s - 4*s) - s**2 - 2*s**2 + 4*s**2).\nAnswer: 6*s**5 - 909*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 2621 = -22888. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/(-24)*(-6)\/15. Put -1, 0.3, w, -13 in ascending order.\nAnswer: -13, -1, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6404925560.545 + 5?\nAnswer: -6404925555.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*f**3*y**2 + b*f**2*y + 7*b*y**2 + 143*f**3 - 2*f**2*y**2 - 1 wrt f?\nAnswer: 18*b*y**2 + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 1008 = 12*o + 104*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3 - 16485711*t**2 - 4234683*t - 1.\nAnswer: -12*t - 32971422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (132\/(-18))\/(2\/(-10566)). Suppose -26*z + d = -39830. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 3. Let u(l) = -2*l. Calculate o(u(h)).\nAnswer: 8*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 29132380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 4, f: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:31 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 - 14*f - 58. Calculate z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108190, -108191, -108192, -108193?\nAnswer: -108194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2462 divided by 555\nAnswer: -2462\/555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/5 + 1726422*x\/5 + 1035855 = 0?\nAnswer: -3, 1726425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 3*j**2. Let s be w(2). Differentiate 0 + 4 - s + 2 + p**4 with respect to p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 + 3*w**2 - 2. Let t be v(1). Solve 13 - t = -8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94346151.\nAnswer: 3, 31448717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z**2 + 6. Calculate w(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43367.08 times 0.29\nAnswer: -12576.4532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-1292) + 105\/266\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 56*c - 711. Calculate h(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -35. Suppose v + 4*j = j + 32, 4*v = -5*j + 114. Calculate the remainder when ((-152)\/(-3))\/((-2)\/u) is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 636786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7687773655.\nAnswer: 5, 20887, 73613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -133 (b) -0.5 (c) 143 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 226951.9 minus -97?\nAnswer: 227048.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6159 - 135447\/22. Let a = -348629 - -1402225\/4. Let o = a - 1938. What is the common denominator of y and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1978890 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171572, 342995, 514418, 685841?\nAnswer: 857264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/140 - 8\/28)*-195. What is the derivative of d*s**4 - 304*s**4 + 67 - 319 wrt s?\nAnswer: -904*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 2*n**2 - 6*n - 6. Let s(c) = -4*c**3 - 3*c**2 - 12*c - 13. Let f(k) = -4*s(k) + 9*x(k). Suppose f(r) = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = -4. Let p be x\/4 - (-1912)\/16. Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*g**2 - 205*g - 37960.\nAnswer: -80*g - 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -153364 divided by -1045?\nAnswer: 153364\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 6) in base 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - 4*t**2 + 15 - 44 + 20 + 12 + t. Calculate j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*a + 32 = 0, z - 4*a - 18 = -10. Which is bigger: 1029\/55 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1224 from -56.1.\nAnswer: -56.2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 4\/15, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3 + 37. Suppose -5*n - 320 = -w*n - 5*c, -5*n + 4*c + 338 = 0. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.067?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0)*(-3*f**2 + 0*f**2 - f**2) + (0 - 1 + 0)*(0*f**2 - 2*f**2 - 6*f**2) as q + x*f + p*f**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 749407 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27515*r - 55120*r - 85391*r + 24654*r.\nAnswer: -143372*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1. Let x = -2 + 1. Let m(h) = -4*h - 10. Let d(f) = 3*f + 9. Let g(n) = 3*d(n) + 2*m(n). Determine x*g(y) - 6*q(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*a + 18*a - 16 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -208\/279247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60492, -120981, -181470, -241959?\n\"Answer: -60489*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - g**2)*(383*g - 364*g + 407*g) to b*g**2 + a*g + q*g**3 + s and give q.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-273)\/7*1\/3. Let n(i) be the third derivative of -i**6\/120 - i**5\/5 + 13*i**4\/24 + 8*i**3\/3 + 3*i**2. What are the prime factors of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/15 - 2\/15. Let b be (-74)\/(-444)*(-3)\/(-2)*(5 - 7). What is the nearest to b in -2, r, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.06, -58 in decreasing order.\nAnswer: 0.06, -1\/4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1305 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278\/(-110) + ((-81)\/255 - (-10)\/85).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -0.5, 5, -3, -17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486.5575 months in centuries?\nAnswer: 2.07213125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.8, 0.04, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*l, h - 20 = 3*l - 6. Suppose -5*g + h*v + 935 = 0, g - 4*g + 4*v + 563 = 0. List the prime factors of g.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 521 + 143. Let l be 40551\/b + 2\/6. Suppose 4*g - l = -0*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29.2 in -6, 0.3, 0.2, -3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87634*p**3 + 125 - 125 + 87583*p**3.\nAnswer: -51*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*k + 3 = 0, -6 = 44*k - 42*k. Suppose 2*d + 2*d = -4*j + 20, -5*d = -3*j - i. Solve 0*w = -2*w + 4*x + 12, -2*x - 10 = -j*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 3:02 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4854 = -4*y, -25 = 5*o - 35. Is y at least as big as 1213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**3 - 34*c + 3*c**3 - 7*c - 12*c**3 in the form w + v*c + h*c**2 + n*c**3 and give v.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707175184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105, -968, -3307, -7860, -15365, -26560, -42183, -62972?\n\"Answer: -123*k**3 - 2*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 1\/4*w**4 + 1\/4*w**3 + 3\/2*w**2 - w.\nAnswer: -(w - 2)**2*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.428 - -2.428. Put 4\/5, 0.06, 0.5, c in decreasing order.\nAnswer: c, 4\/5, 0.5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -1346\/39?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 74 = x - 288, -4*y - 872 = -4*x. Suppose -x = 13*f - 16*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94205 is divided by 93059?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1285920 to the nearest 10000.\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 17 = -4*s + 4, -4*p - 40 = -5*s. Suppose -17*z = s*z. Solve c = -z - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, -3\/4, 0.2, -1, -7\/2 in ascending order.\nAnswer: -31, -7\/2, -1, -3\/4, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 379034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -0.22605?\nAnswer: -0.47395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 5*x + 5*x)*(-1 - 6 + 6)*(-1 + 7 - 1) in the form b*x + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -23b62?\nAnswer: 23b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 712 = -637 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157284 and 444924.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l*q*z**3 + 2*l*q + 50*l*z**3 - 59*l - 2*q*z + q wrt z?\nAnswer: -9*l*q*z**2 + 150*l*z**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1840*t = -1837*t + 27 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 2 - q + 0*q + (-2 + 3 + 1)*(1 + 1 - 3)*(-46*q + 91*q - 46*q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 2*x**2 - 8*x + 28. Let a be c(10). Let o = -888 - a. What are the prime factors of o?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.3 + 2.2. Let t = 4 + -13. Let q = w + t. Sort 0.4, q, 2\/7 in increasing order.\nAnswer: q, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*c - 15 + 3, 12 = -c + 4*p. Let a = -10 + 9.5. What is the third biggest value in c, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 2*i - 14, -t - 2*i = -2. Let h be (t - 2)*1\/2. Let c = 18 + h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + g = 8*g + 13, g + 3 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 42*g**2 + 45*g - 44. Calculate k(22).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5999 - 2.663. What is c rounded to 2 decimal places?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 36. Suppose 0 = -2*i - 5*f - j + 4, i + 5*f + 6 = 0. List the prime factors of (9 + i)*32\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Let n = x + -4.7. Let f be ((-8)\/(-6))\/(14\/6). Sort f, n, 0.1 in decreasing order.\nAnswer: f, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g - 47. Let u = 51 + g. Find the second derivative of -11*n - 256*n**u + 256*n**4 + 5*n**5 wrt n.\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1305193 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -4225?\nAnswer: -4223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6649 is divided by 111.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688411.7 litres to millilitres.\nAnswer: 688411700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - u + 36. Determine p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**3 - 2*h - 1. Suppose 0 = 5*s - 13 - 2. Let g = 0 - s. Let a be (1 - 2)\/(g\/(-3)). Determine d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmbbmbnbnnn. Give prob of picking 1 m and 2 n.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 5*t + 23*t in the form a + y*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1722041 and 3086152.\nAnswer: 3977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 13\/210*r**7 - 13 + 0*r**4 + 0*r**6 + 0*r**5 + 0*r - 20\/3*r**3 + 2*r**2. Find the first derivative of c(v) wrt v.\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5273716 and 89\/1249038.\nAnswer: 47463444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85755*-3.\nAnswer: 257265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*c**2 - 1 + 0*c + 3*c**2 + 0*c + (0*c**2 + 2*c**2 - c**2)*(0 + 0 - 3) - c**2 + 5*c**2 - 2*c**2 + (3*c - 3 + 3)*(2*c - 2*c - 2*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.8 + 5.786. Let k = -0.124 - v. Let b = -0.01 - k. What is the closest to 0.2 in 0.2, -0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47843990.038 and 21.\nAnswer: 47844011.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -4*l. Suppose 0 = -l*v - v + 39. What is the highest common divisor of 143 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imiiwwid. What is prob of sequence wi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-42)\/(q**13\/q**(1\/5)) assuming q is positive.\nAnswer: q**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -5*m - 15. What are the prime factors of 6\/15 + 99\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*w - 5*f - 162 - 49, 0 = 2*w + 2*f + 72 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1053) + sqrt(1053) + 4)*-6.\nAnswer: 144 + 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177187, 177421, 177653, 177883, 178111, 178337?\nAnswer: 178561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3929372?\nAnswer: 2, 982343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/16)\/((9 + 143)\/19). Sort q, -2.1, 3.\nAnswer: -2.1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4447719 <= -4447718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458532 and 9024?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 4. Let s be 5*((-39)\/15 - -3). Let z(w) = 8*w + 4. Let n be z(s). Suppose 5*o + 40 - n = 0. What is y(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -124, -74, -8, 74, 172?\n\"Answer: 8*y**2 + 26*y - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 + 0*a**3 - 5*a - 1\/12*a**4 + 0*a**2. Let x(z) = 2*z. What is y(x(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6708 divided by -3354?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2546, 2548, 2562, 2594, 2650, 2736?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) -29 (c) 2\/17 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 871671998 to the nearest integer?\nAnswer: 29524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745795?\nAnswer: 5, 149159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227 - -354. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6652625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqvqqqqq. Give prob of sequence vqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a77b07 + -5?\nAnswer: -3a77b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 - 164. Which is the nearest to v? (a) -13 (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-5\/3)\/h)**(-23\/4))**(-2\/67))**(-46) assuming h is positive.\nAnswer: h**(4232\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3624 + 1542?\nAnswer: 5366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1789263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:25 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*b = 75, -2*p = b + 12 + 41. Let j be ((-14)\/p)\/(2\/8). Suppose 14*u**4 + 0*u**5 - j*u**5 + 4*u - 14*u**2 + 2*u**3 - 4*u**5 = 0. What is u?\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4\/3 (b) 6\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 2*w**3 - 3*w**3)*(-3 - 2 + 0 + w).\nAnswer: 4*w**4 - 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439692461 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-70))\/(14\/49))\/(36\/150*-10)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11084 and 288184.\nAnswer: 288184","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 5*g + 9. Let u be x(5). Suppose 7*m = u*m - 4. What are the prime factors of 1\/2 - (-77)\/m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 times -2424?\nAnswer: -1982832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10730 divided by -2146\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-16)*m)\/(((m*m*m**(2\/3)*m)\/m*m)\/m))\/((m*m\/(m*m**5)*m)\/(m\/(m\/m**(-16))*m)) assuming m is positive.\nAnswer: m**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-7) - 6*(-898)\/28?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f - 3*g - 236, f - 238 = 4*g. Suppose -f*m + 65 = -225*m. Solve 0 = 2*j - 21 + m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48962665 a multiple of 535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3)\/(4\/(-12) - -1). Suppose -s*i + 303 + 297 = 0. Calculate the highest common divisor of 25 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-38)\/(-1330) + 45\/(-21) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21522587 + -1?\nAnswer: 21522586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1323*c**3 + 241416*c**2 + 1060743*c + 1179606.\nAnswer: 3*(c + 178)*(21*c + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25950056 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 149. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r - 9. Determine p(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -23. Let c = 56 - k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:14 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6555 + -5870. Calculate the remainder when w is divided by 169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4929 - -4930. Solve 9*c + k = -2*h + 8*c, 5*h - 2*c + 7 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 2. Suppose j + 1 = 4. What is the second biggest value in 0.5, j, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.4 + 4.4. Let y = -371 - -371. Which is the nearest to -2\/3? (a) y (b) k (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263657143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 21*d - 17. Suppose -5 = -p - 3*z, 463*p - 461*p - 12 = -4*z. Give j(p).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.044 times -6\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 2\/13, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1971 and 923157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 0.4, -6, -6\/125 in ascending order.\nAnswer: -6, -0.8, -6\/125, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19444\/13 + -2993\/2. Find the common denominator of 6\/11 and d.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 14 = -5*n + 4, 8 = n - 5*c. Suppose n*j - 400 = -4*x - j, 0 = 5*j + 5. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1 - (1 - 0)). Suppose -2*x = -5*v + 28, -4*v + 18 = -3*x - 10. Let d be 10\/(-20)*v\/(-3). Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -863*y + 2572. Calculate l(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (2 + (-2 - -5)). Suppose -2*o - d*k = -14, -2*o + 3*k + 1 = -3. Factor -9\/2*t**3 - 3\/4*t**o + 0 - 3*t**2 - 3\/4*t - 3*t**4.\nAnswer: -3*t*(t + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9194165l in millilitres?\nAnswer: 919.4165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 23 - 93 = 0. Suppose 9 = k + f. Let o be (-1)\/k - (6 - 6). Sort -1, 2\/7, o.\nAnswer: -1, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v**(-16))))\/v*v)\/v**13)\/(v**(1\/4)*v*v**(3\/5)) assuming v is positive.\nAnswer: v**(-597\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35116092 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 409600458 to the power of 1\/3, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -s + 15, -43*s + 3*h + 75 = -38*s. Suppose -s*g = 22*g - 333. Solve 4*w - 13 + g = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125255 divided by -706.\nAnswer: 125255\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 6 = 8*r. Which is bigger: r or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -18*m + 285. What is g(15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*q - 441*q - 4542*q - 305*q - 5441*q.\nAnswer: -11255*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 + 2*v - 3. Let w(o) = -9*o**2 + 5*o - 7. Let t(l) = 5*i(l) - 2*w(l). Find the first derivative of t(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = 13*u - 3112. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -139. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 7*i**2 - i - 4. Let d be g(-7). Suppose 0*t = d*t. Let p = 1 - t. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965 bigger than 2\/29851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -77. Let q be ((-1160)\/32 - (-12)\/4)*-4. Let u = q - w. Calculate the highest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1246 + -51. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 4198953.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 555 and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 10*o + 5. Let u be d(-10). Suppose -u*v + 200 + 110 = 0. Let g = -15 + v. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268604 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-21))\/(35\/(-14))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 17 - 2*i - 27.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 j when four letters picked without replacement from jjjkkkkkjjjtjkkkjjkk.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247234156*a**5 + 3*a + 112888786.\nAnswer: 4944683120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (318\/(-1060))\/((-3)\/(-14)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.091.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*-2 - 34. Let m be (-188)\/6*(-324)\/s. Let z = -304 - m. What is the common denominator of 55\/2 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(2 - 2 - 1)*(-1 + 2 - 2)*(0 + 6*i + 0).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 4:03 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -265 + 532 - 269 + 23*n**2 + n**4 in the form p*n**4 + k + w*n + z*n**3 + y*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/1392*-29*4*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 582 = 3*j, -39*j = -43*j - 5*g + 758. Solve -29*t + j = 19*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25\/t**(7\/5))\/(t\/t**5)**(-8\/7) assuming t is positive.\nAnswer: t**(666\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84170000 rounded to the nearest one million?\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 11*o + 79. Determine s(18).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((5 - (13 + -3)) + 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138737003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26633, 25949, 24813, 23225?\n\"Answer: -226*v**2 - 6*v + 26865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*i + 26793 = 0, -2*i = -94*d + 85*d + 120677. List the prime factors of d.\nAnswer: 3, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1 in descending order.\nAnswer: 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one eighth of a kilogram?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -424 (base 13) in base 7?\nAnswer: -2026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - 0.2. What is the second smallest value in -5, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1554803.\nAnswer: 5\/1554803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/2 + 2009*b**4\/2 + 1016005*b**3\/2 + 6993971*b**2\/2 - 5026021*b - 8016008 = 0. Calculate b.\nAnswer: -1001, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1069723, 4278901, 9627523, 17115583, 26743075, 38509993, 52416331?\n\"Answer: -a**3 + 1069728*a**2 + a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 + 2.62. Let c = p + -0.02. Let w = 0.58 + c. Sort w, -0.5, 3.\nAnswer: -0.5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbvl when four letters picked without replacement from {z: 1, l: 1, b: 5, v: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-15))\/(3\/(-15)). Let w be n\/20 + 34\/10. Let f(p) = -5 + p - 6*p**2 - p**w - 4*p - 4*p. Determine f(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89552, 89463, 89218, 88739, 87948, 86767, 85118, 82923?\nAnswer: 80104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(((-6)\/(-180))\/((-26)\/(-4))).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + -2 + 5 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7466 + 7394 = 8*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5385957483.\nAnswer: 3, 79, 1061, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 8*l**2 + 12*l - 12. Let g be o(-9). Let t = -34 - g. Solve f = -a + 8, -2*f + 20 = t*a - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47 + 2)*(4 + 40\/(-15)). Let y = -37 - q. Is 23 a factor of (-25)\/(-1) + (y - 25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356676 (base 8) to base 2\nAnswer: 11101110110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9 - m - 9. Let w(s) = -s - 1. Let q(h) = -37*h - 45. Let y(p) = 12*p + 15. Let j(k) = 2*q(k) + 7*y(k). Let z(b) = j(b) + 15*w(b). What is z(r(t))?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -c15 (base 13) in base 15?\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**2 - 4*v - 6. Let k(z) = 6*z**2 + 5*z + 5. Let x(w) = -6*k(w) - 5*r(w). Let a = -5029 + 5022. Calculate x(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4133266, -8266494, -12399724, -16532956, -20666190, -24799426, -28932664?\nAnswer: -33065904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 37*b = 39. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 3*f - 9*f**2 - f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00224618 to five decimal places.\nAnswer: -0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - y**2. Let n be b(-1). Let k = n - -6. Suppose -c = 5*q + 4*c - 165, 0 = -k*q - c + 105. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 + i**3)*(3 - 3 - 2*i) + (-3*i + i**3 + 3*i)*(i + 2 - 2) - 2*i**4 + 4*i - 4*i + i**4 - i**4 - 2*i**4.\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - 0.2. Let d = -8 - -8. Suppose 6*y + 30 = -d*y. Which is the closest to t? (a) y (b) -0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*g*i*q**3 + 2*g*i*q + 28*g*q**3 + g*q**2 - 24*i*q**3 - 11*i*q**2 + 10*i*q - 5*i + 2*q**2 - 8*q wrt q?\nAnswer: -534*g*i + 168*g - 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x**2 - 37 + 1009*x + 1008*x - 3051*x + 1002*x)*(-1 + 1 + 2).\nAnswer: 36*x**2 - 64*x - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -930*u**3 - 53 - 33 - 18*u**2 - 108*u + 929*u**3. Let l(k) = 0. Calculate k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35685813 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*w + 50*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -1.97322.\nAnswer: -2.27322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 53. Let t = f - 100. Let v = t - -52.00000037. What is v rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.08 + 0.08. Let g = -1057.7 + -312.3. Let k = g + 1371. What is the nearest to x in -3, k, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2\/2 + 1. Let f = 9 - 6. Suppose -3*l = -4*x + 2, x - f*l = 6 - 1. Determine z(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*c - 32, 4*c = -12*f + 9*f - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 1. Let g be t(-2). Suppose 5*l + 4*v = -5 - 0, 5*v + 13 = -4*l. Suppose -4*i = -l - g. Solve -i = 5*k + b, -5*k + 4*b = -2*k + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1182782\nAnswer: 2365564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 14. Let r be k(-8). Let f(w) = -w**3 - 11*w**2 - 9*w + 12. Let t be f(r). Solve -y + 1 - t = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86840 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73446 + 375301.\nAnswer: 448747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81338, -81358, -81392, -81440, -81502, -81578?\nAnswer: -81668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (((-4)\/(-3))\/2)\/(14\/147)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 4*t**3\/3 + 36*t**2 + 128*t + 98. Determine d, given that n(d) = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4657, 18998, 42901, 76366, 119393, 171982?\n\"Answer: 4781*r**2 - 2*r - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and (-1299)\/(-5)*4\/18*-6*-10.\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**7\/42 - s**3\/3 - 2*s - 3. Let a(r) be the first derivative of v(r). What is the second derivative of a(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.78359517 rounded to one decimal place?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {h: 6, j: 1, r: 1, t: 11}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 8*v + 37. Let p be g(-11). Let o = 3.5 + -4. What is the nearest to 1 in -0.3, p, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 4*f. Let p be y(4). Suppose p = 4*l - 67 + 19. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*t - 9, 3*w - 12 = -0*t - 3*t. Suppose -w*u + 3*j + 0*j = -5523, -j + 7359 = 4*u. What is u rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.216273ms?\nAnswer: 0.000216273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1731048 and 115\/17743242.\nAnswer: 70972968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9751 (base 15) to base 4.\nAnswer: 13310122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*c + 9*c**2 + 14*c)*(4 - 4 - 3*c) + 7031*c - 7056*c + c**3 + 2*c**2 + 5*c**3 in the form d*c**2 + m*c**3 + z*c + x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-38))**(-27\/4)\/((s\/((s\/((s**1*s)\/s))\/s*s)*s\/(s**(2\/7)*s)*s)\/(s**(-1))**27) assuming s is positive.\nAnswer: s**(2787\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27500?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19296986287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.112 - -0.151. Let m = f - -0.961. What is the closest to -1 in m, 3\/7, 1\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*x**2 - 2585897*k**2*x + 3*k**2 - k*x**2 + 3*k + 26*x**2 - 11*x + 111 wrt k?\nAnswer: -4*x**2 - 5171794*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15548 and 414.\nAnswer: 139932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292 - -293. Which is the closest to -1? (a) -0.4 (b) z (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.91 + -0.09. Let r(o) = -o**2 + 6*o + 8. Let n be r(7). Let g be 3 - -2*26\/(-12). Which is the nearest to n? (a) g (b) u (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3309436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -4203\nAnswer: -1\/4203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -189*k + 166817739 + 217914157 - 62350627. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from vgkcwvgvkg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15969161 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 3*f**2 - f. Let s be (-2)\/11 + 35\/11. Let m be y(s). Let n = m + 120. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11111?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137\/3 - -46. Suppose -1801*q + 304 = -1763*q. Which is the closest to i? (a) -1\/21 (b) q (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13133 - -10?\nAnswer: 13203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40763 is divided by 1271?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/12 + 7\/(-14). Solve -t + 8 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -19. Suppose a*m + 177 = f, -5*f + 9*f + 4*m - 684 = 0. List the prime factors of f.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-21)\/5)*(-25 - (9 + -29))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 2*d**2 + 5*d - 4. Let t be h(3). Let u = -2 + t. Suppose u = -5*s + 8 + 12. Let v(j) = -j**2 + 6*j - 2. Determine v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 2\/(-8))\/((-268)\/536). Let a(x) be the first derivative of g*x**2 - 19\/3*x**3 + 0*x + 16. Find the second derivative of a(w) wrt w.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159.0198 times 0.09\nAnswer: -14.311782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20 + 2)*-3*1\/(-6). Suppose -5*u + 285 = k, 8 = -3*u + f. What is the greatest common divisor of 35 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) 4\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59130 and 5678670.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + -2 + 6 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 + 86 + 134*c to the form b*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2244, 68, -2, 3, -7 in decreasing order.\nAnswer: 68, 3, 2, -1, -2, -7, -2244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489196 is divided by 1496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -319.5 + 307. Which is the nearest to 0? (a) w (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {c: 7, j: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2 - 22*j - 1094. What is the ten thousands digit of m(-50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from geegygggbgsgygee.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((115080\/175)\/(-137))\/((-10)\/15*27\/(-120))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 569226.3um in kilometers?\nAnswer: 0.0005692263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -32. Solve -c*k = q + 5, 3*q + 4*k = 2*k + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71596594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -215 - -214. Put z, -5, -2, -3 in ascending order.\nAnswer: -5, -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 3. Let n be r(-7). Suppose s + 13 = 5*x, -x + n = x. What is the tens digit of (1\/s)\/(3\/(-171))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 18*v - 22 = 0. Let i(b) = b**3 - 12*b**2 + 6*b + 5. Let j be i(v). What is the remainder when 14 is divided by 16\/24 + j\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m = -2*i - 35*m + 162, -2*m - 174 = -2*i. What is the highest common factor of 170 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let r(i) = 14*i + 5. Let w(j) be the second derivative of -j**3\/6 - j**2\/2 + 7*j. Let d(l) = -r(l) - 5*w(l). Give d(b(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iim when three letters picked without replacement from {m: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 89?\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35419 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(300) + -5 + (sqrt(288)*-2 + sqrt(288) - sqrt(288))\/(sqrt(54)\/(sqrt(9) + sqrt(27)\/sqrt(3))))**2*-2.\nAnswer: -266 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50510736 to the power of 1\/2, to the nearest integer?\nAnswer: 7107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbzbqz. What is prob of picking 1 q, 1 z, and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21002 - -211020?\nAnswer: 120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21697\/3 < 7233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**(2\/3)*s))**(-6)*(s*s*s**(-1\/4))**50 assuming s is positive.\nAnswer: s**(159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 + 19. Suppose f - 83 = -0*g - 3*g, -5*g + 2*f = -c. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1048*h**2*x**2 - 39*h**2*x - 4*h*x**2 - 228*h wrt h?\nAnswer: -2096*x**2 - 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2441 or -8388?\nAnswer: 2441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4844 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-4)\/n*n)\/(n**(7\/3)\/n*n))\/(n*n**15*n*n**1))**(11\/5) assuming n is positive.\nAnswer: n**(-803\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f**2 + 3*f**2 + 2*f**2)*(f + 10*f - 17*f)*(4711 + 84*f - 4711) to y*f + u*f**4 + z*f**2 + a*f**3 + h and give u.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -6*f - 105. Solve 0 = 10*r - f*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 10, 35, 60?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1710 + -1650. What is the smallest common multiple of w and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 58*a + 387. Let g(w) = -57*w - 388. Let t(y) = 2*f(y) + 3*g(y). List the prime factors of t(-15).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19331400 divided by 292900?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - z)*(9 - 1 - 2) + 2*z - 6*z + 2*z - 5*z + 0*z + 4*z + 0*z + 2*z + 0*z + (3*z + 0*z - 5*z)*(-4 + 5 - 2) + 2 - 2 + z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3369, -3373, -3377, -3381, -3385, -3389?\n\"Answer: -4*h - 3365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 6*y**2 - 7\/6*y**3 + 0*y + 0 + 0*y**6 + 0*y**4 + 23\/210*y**7 + 0*y**5. What is the first derivative of p(a) wrt a?\nAnswer: 92*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20930.1737 rounded to the nearest one hundred?\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12673567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36210?\nAnswer: 2, 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347717755?\nAnswer: 5, 7, 11, 903163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357834440 to the power of 1\/2, to the nearest integer?\nAnswer: 48558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 12, -5*z + 3*z + 2409 = -3*b. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480695304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 4*i + 3. Let x be h(4). Suppose 4 - 24 = -x*q + 4*a, -4*a = q - 28. What is the least common multiple of 16 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -13*w**2 - 11*w. Let a(v) = -38*v**2 - 37*v + 2. Let n(q) = -2*a(q) + 7*j(q). Let l(r) = 16*r**2 + 2*r + 3. What is -4*l(p) - 3*n(p)?\nAnswer: -19*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 + c. Let d(l) = 9*l**2 + 2*l. Calculate 4*d(p) - 5*k(p).\nAnswer: -4*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1213 + 1214 - 2*i**2 - 2427.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54*(-56)\/9072*(-6)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 18. Let y be r(12). Let i be ((-8)\/(-10))\/(y\/45). Let n be i\/(-12) - 245\/(-390). Is n equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(405)\/sqrt(9))**2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2812, 2, -101, 1, 5 in descending order.\nAnswer: 2812, 5, 2, 1, 0, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9766120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67\/3 - 877\/39. Let t be (3*(1 + -2))\/(-7). Put l, t, -0.2, 3 in descending order.\nAnswer: 3, t, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -401151612*o**3 - 159782577*o**2 wrt o.\nAnswer: -2406909672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -615, -5\/4.\nAnswer: -615, -5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-160 - -1*(-3 - -4)). Suppose 2*h = b + 3*b - 314, 4*h = 2*b - x. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1884218 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*sqrt(320) + ((sqrt(35)\/sqrt(7)*4)**2 + sqrt(5))*5.\nAnswer: -19*sqrt(5) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 6\/7, 0.9, -2\/3, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (164\/(-8) - -4)*-10. Let f = -335 + 220. Let l = f + k. What is the least common multiple of 5 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65\/36 + -3287\/36. Which is greater: -91 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101011000110 (base 2) in base 4?\nAnswer: -3223012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, a: 11, p: 1, e: 2, g: 1}. What is prob of sequence paeg?\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11865162 divided by -3.\nAnswer: -3955054","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6. Let j be 9\/(9\/6 + k). Let t(l) = 3 - 2 + 2 - 7*l + 3*l**2 - 2*l**2. Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 825\/(-540)*(-848)\/(-1060).\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leetllixtlllll. What is prob of sequence il?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 20*s**2 - 55*s + 30.\nAnswer: 5*(s - 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.13, 4, 3, -0.5 in decreasing order.\nAnswer: 4, 3, 0.13, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57954 + -39081. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 1)*(-3 - 2 - 1)*(0*s + 0*s - 4*s**2) to g*s**2 + n*s + u and give g.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 236.005?\nAnswer: 944.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 0. Let r be 1\/(-2) - (-516)\/344. Put x, r, -2, 0 in ascending order.\nAnswer: x, -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*s - 374*s - 988*s**2 + 185*s.\nAnswer: -988*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 69853.49 years?\nAnswer: 698.5349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**3 - 169*v**2 - 41*v - 375. What is the tens digit of p(-58)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - -142. Calculate the common denominator of ((-6)\/4)\/(-4 + 830\/m) and (-1)\/(-3) - (-281)\/30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -305, -644, -981, -1316?\n\"Answer: z**2 - 342*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/5)*(g\/((g**45*g)\/g)*g)\/g assuming g is positive.\nAnswer: g**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2672 and 2672.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166\/17459 or 0?\nAnswer: -166\/17459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let s(t) = -2 - 6*t + 1 + 2. What is the units digit of s(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.376 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35273 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 4:50 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 + 99591*s - 1095138 = 0.\nAnswer: 11, 33186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -347*y**5\/5 + y**4 + 17*y**3\/6 + 6*y**2 - 8*y. Let l be j(-12). Round l to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 12:17 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(30)\/sqrt(10) - sqrt(432)*5)**2.\nAnswer: 590*sqrt(3) + 10468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 35 = 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95186 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 4 - (0 + 1))*1. Solve -4*d - 8*d = v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 70021 = 46853. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/30)\/(0 - 48\/15)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1151 - 2301\/2. Factor 3\/4*m**2 - c*m - 1\/4*m**3 + 0.\nAnswer: -m*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 v when three letters picked without replacement from {v: 6, z: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6634a2 (base 15) to base 13\nAnswer: -101726c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l - 139*l = -2846070. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 22*y**5\/5 - 23*y**3\/3 - 58*y. Find the second derivative of a(p) wrt p.\nAnswer: 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 2*q - 1. Let o be x(1). Let k(s) = 2*s - 3*s + 0*s + o*s. Let y(w) = w**2. Calculate y(k(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let s be w(6). Let r be 11\/2 - (-3)\/s. Suppose 4*j - r - 10 = 0. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 19.5. Sort -1, 7, q in descending order.\nAnswer: 7, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5103 and 7875?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -399.4 + 399.8. Put 4, -1\/5, l in increasing order.\nAnswer: -1\/5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/9 + 18092*z**2\/9 - 13650406*z\/3 + 18168392 = 0.\nAnswer: 4, 4521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54*x**2 - 102*x**2 + 13*x**2)*(2*x + x**2 - 2*x) in the form j*x + l*x**4 + i*x**2 + f + z*x**3 and give l.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 + -5 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 200. What is the remainder when 77 is divided by m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, e: 10}. Give prob of picking 3 w.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(2025\/(-600))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 1. Let d(y) = y**2 + 48*y - 3. Let w(j) = d(j) + 2*k(j). Is w(11) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 17*g. Suppose 7*d + 27 = 10*d. Suppose 3*s - 3 = g, -5*j = -j - s + d. Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 363\/84 + 33\/77?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -84, -93, -106, -123?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**5 + 2160*f**4 - 12*f**3 - 6488*f**2 - 4320*f = 0. What is f?\nAnswer: -540, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -31, -27 in descending order.\nAnswer: 3, -5, -27, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/8 of a microsecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*u**4 - 665265*u**2 + 374729386*u wrt u?\nAnswer: -1020*u**2 - 1330530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -v. Suppose v*t - 6*t - 12 = 0. Put 0, t, -8 in ascending order.\nAnswer: -8, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1)*(-2)\/(-4). Let u(p) = -4*p + 3*p + r*p + 3 - 5*p**2 - 4*p. Let g(k) = 5 - 1 - 5*k - 14*k**2 + 4 - 9*k. Give -4*g(l) + 11*u(l).\nAnswer: l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1345, 1356, 1385, 1438, 1521, 1640, 1801?\n\"Answer: o**3 + 3*o**2 - 5*o + 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*x + 12. Suppose -3*s - 1 = -n - x*s, 4*n - 5*s - 55 = 0. Find the second derivative of -1 - 9 + n + 7*y + 11*y**3 wrt y.\nAnswer: 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74008, 295977, 665914, 1183819?\nAnswer: 1849692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8669 + -2.73923. Let u = 0.127 - h. What is u rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**6\/57 - 14*q**5\/19 + 355*q**4\/38 - 1730*q**3\/57 + 800*q**2\/19 - 512*q\/19 - 143. Factor n(f).\nAnswer: 2*(f - 16)**2*(f - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v. Let i(c) = 7*c. Let d(o) = 8*o. Let g(y) = 3*d(y) - 4*i(y). Determine x(g(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.7738 and 0.5.\nAnswer: 14.2738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) - (-486)\/10. Let u = l + 14. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495279 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 106 in -16, -3, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22636 + -10527. What are the prime factors of q?\nAnswer: 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4\/s)**(1\/14)\/(s**(-12)\/s**(6\/5)))**(1\/34) assuming s is positive.\nAnswer: s**(939\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-487)\/(-6331)*(-6)\/4?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75 + 90 - (3 - 74)) + -1 - (0 + 3)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 23*t**2 + 9*t + 3. Let k be h(-12). What is the highest common divisor of k and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21325\/2064 - 1\/688. Let a = 10 + b. What is the closest to a in -0.1, 0.4, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/5266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145812 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -20, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235.4 - 252. What is s rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -323 - -324. Sort -3, 4, b.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19022 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -6. Let f = -375 - -379. Which is the third smallest value? (a) 1\/4 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 28 (c) 5\/4 (d) -2\/127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 9:38 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 184*o - 183*o. Let x(i) = -8*i - 19. Let d(p) = -3*p - 6. Determine o*x(g) + 11*d(g).\nAnswer: -g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987667143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*d + 28 - 400*d + 1160*d - 388*d.\nAnswer: -d + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3*v*z**2 + 2*u**3*z**2 - 2*u**2*z - u*v*z**2 - 7*v*z**2 + 20*z**2 wrt v?\nAnswer: u**3*z**2 - u*z**2 - 7*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7988*a**3*n**2*s**3 + a**3*n**2 - 2*a**3*s**2 - 449*a**2*s**3 - 4*n*s**3 wrt n.\nAnswer: 15976*a**3*s**3 + 2*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/18 + (0 - 0). Suppose 12 = -4*t, j = 5*m - 5*t - 214 - 3256. What are the prime factors of m?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/15 - (-5)\/21. Which is the nearest to 0? (a) 1\/4 (b) s (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-20 - 6 - -1 - -12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*b + (20 - 20 + b)*(9 - 3 - 1) in the form x*b + z and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11789398 minus -0.5?\nAnswer: -11789397.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -816 divided by 102?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*r**3 + 17*r**3 + 14*r**3 - 13 + (2 - 2 - 1)*(-r**3 - 2*r**3 + 2*r**3).\nAnswer: 2*r**3 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/(-24)*4. Let x be (-1)\/(-1)*(o + 4). Solve x*l - 2 = 2*y, 5*l + y + 5 = -4*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -20131*v + 20133*v - 2*c, 0 = 3*c + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3327 by -2082.\nAnswer: 1109\/694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7976.97412 + -5.974245. Let y = -7972 + r. Let l = 1 + y. What is l rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -3, 2 in increasing order.\nAnswer: -3, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i + 1414 - 3096 = 1855 + 492 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/32141657 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*-22814530\nAnswer: 114072650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Let b be ((-4)\/(-8)*1)\/(6\/(-108)). Let x = 1656 - 1651. What is the fourth smallest value in b, -3, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**8\/56 + m**4\/3 + 13*m. What is the third derivative of b(q) wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*l - 67 + 67 + (-4*l + 6*l - 4*l)*(0 + 4 - 6) - l - 2*l + 2*l)*(-6*l + 7*l - 3*l) as a*l + u*l**2 + j and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i. Let l be 24\/4*2\/6. Let d = -12 + 14. Let p(j) = -35*j**d + 2*j + 38*j**2 - l*j. What is p(o(f))?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*n**5 - 162*n**4 + n**3 + 73033*n**2?\nAnswer: 3840*n**2 - 3888*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from wpwppwppppwww.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -91, -144, -203, -268, -339, -416?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1455 - -1522. What is the remainder when 1338 is divided by m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Let c(p) = -19*p**2. Determine q(c(h)).\nAnswer: 722*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 1. Let w(d) = d**2 - 1. Let b(m) = m**2 + m - 1. Let z(q) = -b(q) + 2*w(q). Let j be z(p). Put j, 4, -5 in increasing order.\nAnswer: -5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1357790 + -1357808.89399. Let x = v + 18.9. Round x to 4 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -157*t**3 - 15*t**2 + t - 9. Let o(j) = -155*j**3 - 14*j**2 + j - 11. Calculate 4*o(u) - 5*z(u).\nAnswer: 165*u**3 + 19*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*d**2 - 301*d**2 - d**3 + 2 + 150*d**2)*(16*d**2 - d**2 + 12*d**2).\nAnswer: -27*d**5 + 27*d**4 + 54*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 39*q + 2608. Give y(35).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 6*c + 8 + 9*c. Let m be n(-10). List the prime factors of 98\/28 - (-1)\/m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9 + 8.9. Let c = -0.49 - 3.51. Let v = c - -4. What is the second biggest value in v, s, -5\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -330 in 0, 3, 155\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171.512 - -174.5. Let m = l - -0.012. Let o = -22.6 + 23. Sort -5, o, -1, m in decreasing order.\nAnswer: m, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190559269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4*p + 32, 23665*q + 2*p - 28 = 23669*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.9 + 0.1. Let u = s + -16.028. Round u to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 103475*j - 1967830.\nAnswer: 5*(j - 20714)*(j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165074780*u**5 - 2*u**4 + 1795*u**2 + 5431*u - 1.\nAnswer: -9904486800*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**3 + 4*b**2 - 2*b - 5. Is k(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.193. Let h = 0.017 - g. Are 55 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/4 + 233*g**2\/2 - 7055*g + 115022 = 0.\nAnswer: 34, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271695077.\nAnswer: 4349, 62473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = 0, -m - 4*m = 2*p + 21. Let g(c) = -2*c**3 + 4*c**2 - 2*c. Calculate g(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 15. What is i(16)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-21904)\/(-6845))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 321 and 3?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k - 2*k + 13*k.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 154 divided by -22\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-164)\/(-32))\/((-4)\/(-312)). Let i = -400 + g. Let u = -14 - -14.13. What is the third biggest value in i, u, -1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-1 - 4) + (3 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06217 + 0.1?\nAnswer: 0.03783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 1138?\nAnswer: 51210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:30 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 6*x - 2. Let h be o(6). Let q(k) = -k**2 - 4*k - 3. Let t be q(h). Put 1\/8, -2, t in increasing order.\nAnswer: -2, 1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-693)\/55)\/9*-15. Calculate the greatest common factor of u and 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 - 4*b - 3. Suppose r = -4*r - 15, -2*v + 2*r = 0. Calculate the least common multiple of 2 and n(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621, -1246, -1871, -2496?\nAnswer: -3121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -10\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168 + 105*y**5 - y + 91*y**2 - 107*y**5 - 265*y**2 wrt y.\nAnswer: -40*y**3 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 + 50 - 4*z + 5*z + 162 - 7 to the form h*z + l and give l.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101011100 + -10221200220?\nAnswer: -10120112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119092396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 9*c + 7*c + 2, 0 = 4*c. Let w(p) = 4*p - 3. Let n be w(z). Suppose d - 547 = -5*b, b - 4*b + 317 = -n*d. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2793 and -20\/40593.\nAnswer: 5398869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1232 and 173\/4620?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768161177.\nAnswer: 7, 109737311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -2.4. Let h = 1 + 2. Suppose -5*y - 2*z = 9, 3 = -5*y + z - 0. What is the nearest to 1\/3 in j, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371 + -532. Let v be -3*(-3)\/72 - l\/56. Suppose 5*j - 34 = -v*x, 4*x + 0*x = -3*j + 27. Solve x*b + 0 = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.5, -0.03, 12, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**5\/65 - 3*l**4\/26 + 2*l**3\/13 - l**2\/13 - 7. Factor w(j).\nAnswer: 2*j*(j - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4487)\/(-35) - (4 + 70\/(-25)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -921200 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 39 - 20 = 0. Let h = n + -19. Put -5, h, 5, 1 in increasing order.\nAnswer: -5, h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 6:54 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 123166*z - 12060664 = 0. What is z?\nAnswer: 98, 123068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = -3*p + 120, 0 = -5*c + 2*p + 145. Let l = c - 25. Suppose l*s + 9 = 4*g - 27, 5*g = 5*s + 50. Calculate the highest common factor of g and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3624, -3686, -3840, -4128, -4592?\n\"Answer: -7*s**3 - 4*s**2 - s - 3612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2959700276 - 24.656.\nAnswer: 2959700251.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918731 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -76088 rounded to the nearest one hundred?\nAnswer: -76100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -23. Let w = -89 - f. Put 9, 0, w in decreasing order.\nAnswer: 9, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 4, -13, 10 in descending order.\nAnswer: 10, 4, 1, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-22)\/((s*s**(-40)*s*s*s*s)\/s))\/((s**(-2)\/s)\/s)**(-8) assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:32 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72, -74, -78, -84?\n\"Answer: -z**2 + z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*-1*(-2 + sqrt(931) - sqrt(931))*5*5)**2.\nAnswer: 42025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 2*n**5 + ((-n + 0*n + 3*n)*(-3*n**4 + 3*n**4 - 4*n**4) + 2*n**5 - 3*n**5 - n**5)*(-7 - 4 + 23).\nAnswer: -118*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - -2.594. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695745 (base 10) in base 8?\nAnswer: -2516701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -37*h**2. Let u(c) be the second derivative of -c**3\/6 + 60*c - 2. Give u(y(t)).\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 divide 3025920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10118 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from istusi. What is prob of picking 1 t and 2 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.024 + -39.976. Let j = -45 - y. Which is the third biggest value? (a) 1 (b) j (c) 0.6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 27. Let b = 9 - 7. Let s(q) = 4*q - 5*q - q - 2*q - b. Let c(d) = 9*d + 5. Calculate a*c(t) + 14*s(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 485265 and -117493892.\nAnswer: -117008627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(200)*1 - (5*(0 + (sqrt(200) - (1*sqrt(200) - sqrt(200)))))**2.\nAnswer: -5000 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 80*u**2 - u. Let o be m(-1). Let t be (76\/8)\/(2\/(-12)). Let r = t + o. Solve 1 = -y + 5*z, 5*y + 0*z = -4*z + r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6246 + 1.3754. What is the biggest value in z, -1\/3, -59, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3837*a*k**2 - a*n**3 + 5*a*n**2 + 14*k**2 + 791*k*n**3 with respect to a.\nAnswer: 3837*k**2 - n**3 + 5*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j + 20*j + 19*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**2 + 12*p + 5*p + 9 + 3*p**3 + 4*p.\nAnswer: 3*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 33*t + 30 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*q - 3*b + 3, 2*q - 2*b = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = -6*f. Let u(d) = 30*d - 29. Calculate the remainder when 60 is divided by u(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -105 - 103. Calculate the common denominator of 8\/21*1053\/l and 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t + 114. Let d(h) = -10*h + 153. Let j(z) = 2*d(z) - 3*v(z). Calculate j(14).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 7*z**3 + 0 + 2*z**3 + 0 + (-z + 2*z - 3*z)*(-2 - z**2 + 2) + (2*z**3 + 3*z - 3*z)*(2 - 5 + 2))*(3*z + z - 3*z).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8)*1 + (-1)\/(-4). Suppose -120 = -f - f + 4*i, -5*f + 4*i + 276 = c. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-21 + 61 - -9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -9*d + 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 15. Solve 14*q - l*q = -44 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -1\/32 (b) 19 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8880*v**3 + 4. Let s(t) = 2220*t**3 - 1. What is -9*s(r) - 2*x(r)?\nAnswer: -2220*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 46.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7 - 5. Suppose 3*g - 22 - 24 = k*x, -2*g = 3*x - 8. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - 2. Let t = -14.5 - -1.5. Let d = 8 + t. Which is the biggest value? (a) -0.3 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 19. Is (-1 - (3 + c))*-17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14322.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 408*o**3 + 76707*o**2 + 726804*o + 5340 = 0. Calculate o.\nAnswer: -178, -10, -1\/136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p - 3*p**2 + 0*p**3 + 1\/12*p**4 + 0. Let c(i) = -20*i**2. Calculate c(l(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4297*m - 4312*m = -190, 0 = 7*h - 3*m + 68 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2 + 494496*k + 989000 = 0.\nAnswer: -2, 247250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 0*i - i + (0 - 4 + 3)*(i - 3*i + 0*i) + (-4 + 4 - 2)*(2*i - 4 + 4) to u*i + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 2*o**3 + o**2 - 2*o.\nAnswer: -o*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/2890 and -6\/125.\nAnswer: 72250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -2*j**4\/3 + j**3\/6 + j**2\/2 - 2*j. Suppose 6 = 5*i + 2*w + 3, w - 3 = -i. Determine y(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(3 - 2*m - 3) + m + 0*m + 0*m)*(-3 - 2*m + 3).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 8*z - 10. Let c(w) = w**2 + 7*w - 3. Let n be c(-7). Let u be g(n). Suppose 0 = 5*b + u*y + 30, -7*b + y = -2*b + 6. Sort b, -7, 1.\nAnswer: -7, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.94 - 5.52. Round r to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9\/(-5 - 2086\/(-208) - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*g*k - g + 115*k**3 - k - 25289 wrt k.\nAnswer: 54*g + 345*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Which is the nearest to u? (a) 0 (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004097736 rounded to seven dps?\nAnswer: 0.0004098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - v + 30*v + (20 + 10 - 3)*(0*v - 2*v + v) to f + a*v and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*y + 156819 + 395181. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 459208 + -698208. Round f to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.191 <= -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3675*b**2 + 7*b + 352*b**2 + 1279*b**2 - 7*b in the form g*b + s*b**2 + h and give s.\nAnswer: 5306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - 371?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.5992ml to litres.\nAnswer: 0.5715992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 30. Suppose 0*h + 4*h + 845 = 5*u, 2*u + 4*h - 310 = 0. Suppose -5*l - q + u = 0, 39 = 2*l - 0*l - 5*q. Are y and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 238*j**4 - 1 + 2*j**3 - 239*j**4 - 4*j**3 to the form a*j**4 + h*j**2 + c*j**3 + l*j + x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/15 + 7*z**4\/12 - 703*z**3\/3 - 463*z**2. Differentiate q(b) wrt b.\nAnswer: -8*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-12))\/((-6)\/(-8)). Let o = q + -1. Let m be 3*1 - (-3 + o). Solve w = 2*l - l, -m*l - 12 = -2*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 3:17 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p**2 - 6*p + 8. Let k be h(2). Let u be (-16)\/88 + k\/11. Calculate the remainder when 50 is divided by (2\/u)\/(4\/(-204)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7 = 6*a. Let z(r) be the third derivative of -1\/12*r**5 + 0*r**3 + 3*r**2 + 0*r + 1\/42*r**a - 1\/40*r**6 - 1\/24*r**4 + 1\/84*r**8 + 0. Factor z(b).\nAnswer: b*(b - 1)*(b + 1)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/2 + -19\/4. What is the second smallest value in -0.7, -1\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. What is the smallest common multiple of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/13 - 4078400*x**2\/13.\nAnswer: 2*x**2*(x - 2039200)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11 (b) -19819 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/981, -3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 2\/19 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/17 - ((-322)\/1 + 2)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.7 times 0.26\nAnswer: -2.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*i**4*x + 16*i**3*x**2 - i**2*x - 28*i*x - 15*x**2 wrt i?\nAnswer: -288*i*x + 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 2*o + 0*o + (-4 + 3 - 5)*(2*o + 3 - 3 + (o - o + o)*(9 - 8 - 8)) in the form p*o + d and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.13. Let o = i + 0.24. What is o rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 10143900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14190343463\/1279740 + -4277817\/385. Let n = h + 4\/831. Calculate the common denominator of n and 95\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270035 is divided by 344.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*w + 6 + 0 - 61*w in the form a*w + x and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Suppose m - 3 = -p. Suppose 1476 = -m*f + 6735. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 41. Let o(n) be the third derivative of -n**4\/24 + n**3\/6 + 4*n**2. Let q be o(1). What is the remainder when i(q) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162976 is divided by 40719?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btbb when four letters picked without replacement from {t: 4, g: 2, b: 3, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 60 = -2*q - 2*t, -q + t = -18. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 5, -2.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3321418836 rounded to three dps?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 18*m - 1105. Determine q(0).\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281 + 281 + 4*m to q*m + j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-175)*((-9520)\/102)\/(-40).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/45 and (-136282)\/6180 + 18 + (-8)\/(-2)?\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/(4\/(-10)). Suppose 2*d - 4*h - 16 = 0, -2*d + 0*h - 8 = 2*h. Suppose d = 2*i - r*w - 10, 0*w = -4*w + 8. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-15)*16012\/6. Let r be ((-4821)\/6)\/((-2)\/(-4)). Let w = r + y. Find the common denominator of 25\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 36*i. Let m(n) be the first derivative of 8*n**3\/3 + 28. What is r(m(y))?\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*h + 4)*((-2*h + 3*h + h)*(-h + 4 - 4) + h**2 - 3*h + 3*h - 2*h + 2*h - h**2 - 2*h**2 + 6*h**2 - 3*h**2 + 4245 + 3060*h**2 - 4245).\nAnswer: -6118*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-80) + 36\/(-60). What is the third biggest value in 2.28, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*j - 6, 3*k + j - 46 + 52 = 0. Is 60 a factor of 750\/(8\/(-32)*k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*f**3 + 51*f**2 + 71*f**2 - 122*f**2.\nAnswer: 497*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2721335 divided by 485.\nAnswer: -5611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -9 - (0 + (12 - 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3125, -7876, -14257, -22268, -31909, -43180, -56081?\n\"Answer: -815*o**2 - 2306*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38736, -77466, -116202, -154950, -193716, -232506?\n\"Answer: -x**3 + 3*x**2 - 38732*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000149908 to 7 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.72 - -2.72. Let s = -23 + 21.9. Let i = s - -5.1. Which is the nearest to -0.1? (a) -3\/5 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6644.251 + -6687.9. What is o rounded to 0 dps?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 278*k - 718. Let i be z(37). Which is greater: 9567 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = 4*h. Suppose 5*s = s + h. Let w be s\/(3\/51 - 0). Calculate the greatest common factor of 119 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 9548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89\/68 + -839\/1836. What is the common denominator of -59\/33 and a?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 + h. Let d = 251 - 250. Calculate v(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*y = 172*y + 130. Solve -y*r = -9*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(((-231)\/143)\/21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -20.38\nAnswer: 20.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7*y - 2927 = -2*y, -9 = 3*y. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -22. Let f = z + -28. Which is bigger: f or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128092891, 256185783, 384278675, 512371567?\nAnswer: 640464459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 152 (b) 0.07 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -844\/35 - -122\/5. Which is the fourth smallest value? (a) 0.5 (b) 6 (c) 1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19590, -39166, -58742, -78318, -97894?\n\"Answer: -19576*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345344 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 value of (5 - (-6 + (3 - -21))) + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2811*o**2 + 1530*o**3 + 35711*o - 34203*o + 226 + 26 - 25*o**4 = 0.\nAnswer: -1, -2\/5, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 65\/(-10) + (-1)\/(-2). Let g(x) = 3*x**3 - 9*x**2 + 6*x + 10. Let j(n) = -4*n**3 + 10*n**2 - 6*n - 11. Let m(d) = -5*g(d) - 4*j(d). Calculate m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36)\/(-3) - (5 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5*f + 5)*(-2 - 4 - 6)*(3*f + 3*f - 4*f) - 5*f**2 - 5*f**2 - 7*f**2.\nAnswer: -137*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/4 - 6*d**3 + 71*d**2\/2 + 13*d - 8. Let f be l(12). What is the closest to f in -3\/2, 0.1, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2\/4 - 24723*q\/4 + 222021\/2 = 0. Calculate q.\nAnswer: 18, 8223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353454562?\nAnswer: 2, 37, 53, 90121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 2*h. Suppose -3*b + 5 = -0*w - h*w, 5*b - w = 23. Suppose 2*s - b = l, 4*s = -4*l - 0*s - 32. Is l greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(-1)*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -3*2*(-3*sqrt(637) + -5)))**2.\nAnswer: 195300*sqrt(13) + 5183725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -5*r + 7*r. Is r 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 2:43 PM and 4:44 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 23*u**2 + 62*u + 122. Determine m(-20).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 125.23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 1. Let q(f) be the third derivative of 1\/6*f**3 + 0*f + 3*f**2 + 0. Determine o(l) + q(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 - 283 = 0. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 7. Let b be x(3). What is the remainder when 68 is divided by -3 - (-3 + b) - -39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 5*d**2 + 0*d**2 + (-2*d - 6 + 6)*(-5*d - d + 4*d) + (3 - 3 + 2*d)*(53*d - 48*d - 66*d) as b*d**2 + w*d + j and give b.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*u + 85*u + 156 = -90*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 4*d - 3*d + (5*d - 24*d - 20*d)*(-1 + 0 - 1) to the form k*d + n and give k.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + 10110100?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 11:51 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -9*a + 3*a - 7*a - 390, -4*a = 17*r + 120 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 4 + 14 = -32*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(121) - sqrt(121))*2)\/((sqrt(121)*1)\/sqrt(11) + sqrt(11)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129 + 229. Suppose 4*y - n = -0*y + 4*l, -5*l = 3*y - 43. Calculate the greatest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 164\/197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + 171\/(-12). Let a be ((-235)\/1775)\/(o\/(-235)). Let j = a - 182\/71. Calculate the common denominator of j and 85\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1320\/(-2970))\/((-2)\/216). Let c be (-2)\/8 - (-75)\/12. Calculate the highest common factor of c and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/76 and -39\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - ((11 - 8) + -9 + -5 - -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12874 + 36733 = 2*r, 5*d - 82679 = -3*r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 10*n**2 + 4*n - 6. Let v be p(5). Do v and 14 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.52288487 to two dps.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/60 - 67*a**4\/12 + 361*a**3\/3 - 997*a**2. What is the first derivative of p(x) wrt x?\nAnswer: 6*x**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 1\/2*r**2 + 2 + 0*r. Let h(u) = u**2. Calculate t(h(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 + 183?\nAnswer: 181.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + (2 - -10) - (18 + -20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-1 - 4\/(-1)). Let a(n) = n**2 - 3*n + 1. Let b be a(j). Let o(p) = -p**2 - p + 19. Let g be o(-5). Is b at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 + 149. Factor -522 + 78 + 44*x - 40 - x**c.\nAnswer: -(x - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 + -6 + 2). Let o be (3 - v) + 7\/(28\/(-120)). Is -27 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11.904. Let x = -0.046 + z. Which is the nearest to 0.1? (a) 0.1 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k + 8. Let b be 1*34*3\/k. Let o(j) = -7*j**2 - 7 + 3 + 8*j + 2. Let v(x) = 20*x**2 - 23*x + 6. Determine b*o(q) + 6*v(q).\nAnswer: q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47549386 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.99999842 - 20. What is u rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198000351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b + 3. Let t be n(-4). Let m(g) = 2*g - t + 3*g - 4*g. Let o be (9 - (-1 - -13)) + 3 - 3 - -9. Calculate m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Solve -4*m = -3*w - 17, 0*m - m = 5*w - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-28)\/n*n*n\/n**(4\/11) assuming n is positive.\nAnswer: n**(-301\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4548.044 millilitres to litres.\nAnswer: 4.548044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 + 4*v + 4. Let w be s(-1). Calculate the greatest common factor of w and 816.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3 - 155\/35)*-7 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 3 + 2*f**3 + 2*f**3 + 2*f**2 - 5. Suppose 5 - 10 = -x. Let j(p) = -7*p**3 - 3*p**2 - 5*p + 3. Give x*d(k) + 3*j(k).\nAnswer: -k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 695, 675, 621, 515, 339, 75?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.9. Let h = -1 - k. Which is the second smallest value? (a) 2 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + r = 12. Suppose 370*i = 361*i + 351. Suppose -k + 2*k = r*m + i, 0 = -4*m - 16. What is the greatest common divisor of k and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 + (-6)\/21. Solve j + l*j - 4*x = -25, 0 = x - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -49*t - 21. Let u(s) = 5*s + 2. Give 2*r(a) + 21*u(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 - -221. Which is greater: q or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6004 and 35492?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 - 4341*t**2 - 7554*t + 2160.\nAnswer: -3*(t + 2)*(t + 360)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 6, k: 5, n: 3, s: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2e6 (base 15) to base 5\nAnswer: -10131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 - 6 + 2 + 13 + 4*i.\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*v - 5*v + 13, -1 = -v + 242*l - 243*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 695281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10482627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**6\/720 + f**5\/120 + f**4\/6 - f. Let u(y) be the third derivative of m(y). Let l be (-4)\/6*(-4 + -2). Give u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 90*b + 1976. Give x(-58).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (70 + 3*i - 70)*(-i + 3*i**2 + i + (-3*i + 7*i - i)*(-3*i + 3*i + i)) in the form n*i**3 + m*i + x*i**2 + p and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -59*k + 639. Let v be h(11). Sort v, 1, 2\/17 in increasing order.\nAnswer: v, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Let v(s) = 2*s - 1. Let q be -2 - (0\/(-1) - 0). Let k(l) = 4*l - 3. What is q*k(g) + x*v(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3 - 9 = 0, -3*v - 2*i + 9 = 0. Sort v, 2, -8, -4 in decreasing order.\nAnswer: v, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -121\/60*o**6 + 4*o**2 + 0*o**4 - 118\/3*o**3 + 0*o**5 + 0*o - 21. What is the first derivative of g(c) wrt c?\nAnswer: -726*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -8*w + 2. Which is the nearest to w? (a) 4 (b) 1\/5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - k - 9 = 0, 0 = 10*l - 13*l - 2*k - 18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 1, c: 4, b: 1, j: 1, z: 3}. What is prob of sequence bf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttp when three letters picked without replacement from {p: 3, g: 2, i: 1, k: 4, w: 3, t: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 11) in base 10?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8478 and -55\/222.\nAnswer: 313686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by -642334\nAnswer: 111\/642334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.6 and 28.76.\nAnswer: 30.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*r - 2119 = 1213 + 5868. Calculate the remainder when 196 is divided by r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25742000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5145*v + 5158*v. Put v, 2, -11, 7, 0 in decreasing order.\nAnswer: 7, 2, 0, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3)*(-35)\/(-14). Suppose z - 1 = c. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/42*(-225)\/30.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 3*r**2 + 2*r - 1. Let w be t(2). Suppose c + w = 2*c. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6161 and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.316 - -31.1. Is n <= -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17533 by -1129.\nAnswer: -17533\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 times 75?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - -5102250?\nAnswer: 5102155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40169331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(1088) + -4 + -2 + sqrt(1088))*-6*-5)**2*-6.\nAnswer: -94197600 + 2073600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164037 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 6*q**2 - q. Let u be d(6). Let r = 1\/1331 - 67885\/5324. Find the common denominator of (-1)\/(-6)*(u + -80) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*o + 3*w, 2*w = -o - 0*w + 16. Suppose -h = o - 14. Solve -h*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 + (24 - 14) + (0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/9 - 23209*m**3\/3 - 348118*m**2\/9 - 185660*m\/3 - 278488\/9 = 0.\nAnswer: -69622, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 - -226. Suppose -5*k + w + 72 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4854 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174012)\/(-101507)*-5*(-3)\/(-9)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 221197961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 9:28 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaiazns?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*x + 25 + 164 = 0. Solve 2*h + x*d = 4*d - 3, -5*d - 33 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*t**2 - 13*t**2 - 5*t**2 + 3*t**2 - 3*t**2 + 2*t**2 + (-2*t + 4*t - t)*(-5*t + 3*t + 3*t) - t**2 - 3*t**2 + 2*t**2 - t**2 - 4*t + 4*t.\nAnswer: 88*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.6 - -20. Let t = -2.4 + k. Sort -12, 0.5, t in increasing order.\nAnswer: -12, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 73 - (0 - (-2 + 2)). Let d = -16 + y. What is the highest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15940 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24173 = 26*f - 17167. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 7. Let w(n) = -9*n + 13. Give -11*g(q) - 6*w(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 455*w + 910 - 451 - 456 + (2 - 1 - 3)*(-2*w - w + 2*w).\nAnswer: 457*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881458?\nAnswer: 2, 137, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 46.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -45. Which is the biggest value? (a) 1\/3 (b) 0.2 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*c - 12*c - 177 = 0. Solve -t - 4*z - 13 = 0, 4*t + 23 = -3*z - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 8:58 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57900 and 7550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 10:12 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -104*m**4 - 5*m**3 + 5*m**2 + 233. Let d(v) = -52*v**4 - 3*v**3 + 3*v**2 + 117. Let a(c) = -3*b(c) + 5*d(c). Differentiate a(n) with respect to n.\nAnswer: 208*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1089\/4 + 271. Which is the nearest to 1\/4? (a) 3\/2 (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -82227458, -82227458, -82227460, -82227464, -82227470, -82227478, -82227488?\n\"Answer: -l**2 + 3*l - 82227460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/7 + 100*r**3\/7 + 1272*r**2\/7 + 3440*r\/7 - 12800\/7 = 0.\nAnswer: -32, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0539991 litres?\nAnswer: 53.9991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -380254 greater than or equal to -380254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015.341s in microseconds?\nAnswer: 1015341000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-12 - 1) - 2. Suppose l*x + 28 = 26*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1410\/43 or 32?\nAnswer: 1410\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**6\/20 + 9*c**5\/40 + 3*c**4\/8 + c**3\/4 + 14*c - 13. Let g(x) be the first derivative of o(x). Let g(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*u**3 + 3 - 3.\nAnswer: 65*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8970463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*i**2 + 12940 - 12937 - 19*i**2)*(1 + i - 1).\nAnswer: -64*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117)*4 - (sqrt(117) + sqrt(117) + 4*sqrt(117)*2))*-4)\/((sqrt(72)*-2*-3 + sqrt(72))\/(sqrt(1152) - -1*sqrt(1152)))*-5.\nAnswer: -8640*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgb when three letters picked without replacement from glggmlfalmgb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*p - 2*p = -448 + 796 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*i**3 - 2*i - 568*i**3 + 2*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2284 = -5*d + 52486. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:30 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmc when three letters picked without replacement from {c: 2, l: 3, m: 1, x: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -831, -1960, -3781, -6294, -9499, -13396?\n\"Answer: -346*z**2 - 91*z - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 + 7*a**2 + 10*a + 636. Let u(z) = 2*z**3 - 3*z**2 - 4*z - 318. What is -3*f(i) - 7*u(i)?\nAnswer: -2*i**3 - 2*i + 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 673124946 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4026)\/(-660) - 3\/(-90)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3149605121?\nAnswer: 13, 1523, 159079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106653 = -522*h - 116049 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297*l**2 - 2*l**5 + 4*l**5 + 246*l**2 + 7*l**3 wrt l?\nAnswer: 120*l**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -149. Let s = 1\/3 + w. Which is the third biggest value? (a) -1 (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -11686?\nAnswer: 3\/5843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605)*-2 - sqrt(605))**2 - (sqrt(20)\/sqrt(4) + -5 + sqrt(5) + 1).\nAnswer: -2*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 2*d - 4*d**2 + 3*d**3 + 3 - 3.\nAnswer: 2*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77334?\nAnswer: 2, 3, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 35.916. Let b = -0.07 - c. Let p = 0.01399963 - b. What is p rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 4*w + 3. Let c(d) = -2*d**2 + 8*d - 5. Calculate -3*c(h) - 5*f(h).\nAnswer: h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.1 + 40. Let n = -1.8 + 2. What is the smallest value in u, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:18 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*m - 26, -2*m + 11 = -0*m - x. Suppose s - 13 = -m*g, g + 4*g = -4*s + 22. Suppose l = s + 3. Solve -5*f + f - 3*q = 19, 0 = -f - q - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -661\/13 smaller than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 231b9 (base 15) in base 12?\nAnswer: 54826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -47. Find the third derivative of 8350*n + 5*n**2 - n**2 - 4*n**q - 8348*n wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l - 2. What is the remainder when 21 is divided by q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmmm when four letters picked without replacement from {q: 2, m: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252070 is divided by 212.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1461*m - 492*m + 116*m + 935*m + 1548*m.\nAnswer: 3568*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 3*o = -429, -o + 41 = 3020*n - 3015*n - 0*o - 79 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/50*(-2055)\/(-9864)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 5644?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -33*k**2 + 5*k. Let b(m) = 9*m**2 - 7*m - 35. Let g(w) = -8*w**2 + 6*w + 30. Let y(t) = -6*b(t) - 7*g(t). What is y(p(d))?\nAnswer: 2178*d**4 - 660*d**3 + 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let i(x) = 348*x**2. Calculate b(i(v)).\nAnswer: -1740*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 126675 = -127371 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3 - 3)*((k - 2*k - k)*(-1 + 2*k + 1) + 2*k**2 - 6*k**2 - k**2) + (-k + k + k)*(-5*k + 3*k + 3*k).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5941408)\/308)\/((-2)\/7).\nAnswer: 2, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -14424.43\nAnswer: -17309.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 15*z + 8. Let i be k(-15). Suppose p = 4*q - i, p + 4*q + 16 = 4*p. Calculate the smallest common multiple of 22 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a second in milliseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1934*w**2 + 3164*w wrt w?\nAnswer: 3868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010 + 0?\nAnswer: 10100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 4*m**2 - 11*m - 6.\nAnswer: (m - 6)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 115 = -q + 2*i, 3*i = 0. Let f = 202 - q. What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.152.\nAnswer: -0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 25*w**4\/4 + 2*w**3\/3 - 31*w - 33. What is the third derivative of q(h) wrt h?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -986c?\nAnswer: 986f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*h + 7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/15 + (-82 - -103)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -13380.77?\nAnswer: 2676.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdeedgeg. What is prob of sequence dgd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 309, 629, 963, 1311, 1673?\n\"Answer: 7*y**2 + 299*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11611? (a) -0.1 (b) 0 (c) -1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -593712 by -10416.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + p + 1. Let k be f(-1). Suppose 6 = k*m - 2*m. Suppose -6 + 13 = v, 0 = 3*g + 3*v - 57. Solve -3*n - c + 6 = 0, -3*n - 5*c + g = -m*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = -4*d, 0 = -u - d - 0*d - 4. Let j be ((-63)\/28)\/((-3)\/(-12)). Let n = u - j. Solve n*s - 2*q = -7*q, -s = 5*q + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/4529907 and 22\/12047625?\nAnswer: 566238375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from nnriinriiiiir?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882*d + 440*d + 439*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -641 (b) -325 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z\/z**(2\/9)*z)**(9\/5)*z**(1\/3)*z*z**(-1\/5))\/(((z*z**(2\/9)*z)\/(z\/(z*z**(2\/5))))\/(z\/z**(1\/4)*z)**(-10)) assuming z is positive.\nAnswer: z**(-773\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/25, -1, 1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/2 - 2290*h**2 - 37120*h - 149120.\nAnswer: 5*(h - 932)*(h + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1763 - 1712. Put w, 5, -5 in ascending order.\nAnswer: -5, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -483\/5 and -98 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-18) - 7\/(21\/(-10)). Solve -4*j + 4*c = -8, k*j + 6 - 38 = -4*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i = 109*i - 544 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002002021 (base 3) to base 8.\nAnswer: -51322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -50341.\nAnswer: 251705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose z = -2*o + 12, -10*z + 5*z + 3*o + 8 = 0. Solve u = -3*k + 6, 3*b + 2*k + 3*k = z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b + 4*f - 2 = 0, 3*f = 3*b. Let v(n) = 1 + n**2 - n**3 - n**2 - 2*n - 4*n**2. Give v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4359360 by 57.\nAnswer: -76480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v - 9*v)*(-2 + v + 2 + (-3 + 3 - v)*(-5 - 2 + 5)) + (v - 3*v + 0*v)*(2*v - 4*v + 0*v) + 4 - v**2 - 4.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -331 and -327 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -37, -58, -79?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1444*c**2 + 2897*c**2 - 1446*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8602, 1, -207, -5 in decreasing order.\nAnswer: 8602, 3, 1, -5, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 1 + 0*p + 1\/3*p**3 + 2*p**2. Suppose 3*l - 5*l - 8 = 0. Give z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 5*k**2 - 5*k - 5. Let u(d) = -2*d**3 + 6*d**2 - 6*d - 6. Suppose -y + 20 = -5*b, 5 = -3*b + 2*y - 0. What is b*u(l) + 6*o(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/(-18)*(-52 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (9 - 14 - 33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95654 + 4*x**3 + 95654.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(4\/27))\/i)\/i*i*i*((i*i*i*i**(-39)*i)\/i*i)\/i*i)\/(i**(-19\/2)\/((i*(i*i**(-24)*i*i)\/i)\/i)))**(6\/13) assuming i is positive.\nAnswer: i**(-2503\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/5642 and -101\/2.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210500 + -405989.5. Let g = 195489.42199949 + q. Let a = g + 0.078. Round a to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 4782.\nAnswer: 16\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 7*y**2 - 5*y + 7. Let a be x(-6). Let m be (a\/3)\/(4\/36). Let s = -3628 - -3626. Sort 1, s, 0, m in descending order.\nAnswer: m, 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 - j**4 + 2*j**4 + (-4*j + 3*j + 0*j)*(-2*j - 3 + 3)*(2*j**2 - 3*j**2 + 2*j**2) as s + o*j**2 + i*j + l*j**3 + m*j**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/7)\/i**3)\/(i*(i\/(i*i\/i**12))\/i*i\/i**28) assuming i is positive.\nAnswer: i**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 10*y + 6*y)*(4*y - 3*y + y)*(0*y**2 + 0*y**2 - y**3).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(795\/(-2226))\/((-2)\/14*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 416261 + -154016661\/370. What is the common denominator of s and -31\/185?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 3*k + 19)*(0 - 2 + 4)*(-5*k + 3*k + 3*k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 11:45 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Suppose 0 = -10*b + 12*b. Suppose -5*a + 10 = -b*a, -15 = -h - 5*a. Solve -2*i + i + o = -2*n, 5*i + h*n + 40 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -c + 2, 3*c - 30 = -2*c + 5*i. Let l be 212\/7 + (-2)\/7. Calculate the greatest common factor of l and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > 471223\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1787 + 3316. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*z = 973*z + 80196 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:28 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1025 * -132\nAnswer: 135300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*h - h - 20, -270*h + 269*h = l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 10. Solve -2*d + 6 = f*l, -4*d + 9*d + 5*l - 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26658 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 - 127. Let n(o) = -4*o + 1 - 9 + 7*o + i + 2. What is n(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 651 and 1996400?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**3 - 5*w**2 - 5 + 5 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 (base 7) in base 6?\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21187*g**2*o*s - 8646119*g**2*o - 19*g**2*s wrt s?\nAnswer: -21187*g**2*o - 19*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48054 or -48059?\nAnswer: -48054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66411, -2, 3\/8, -6\/7, -3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + x**3 - x**3)*(338 + 692 + 401 - x + 305).\nAnswer: -x**4 + 1736*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251 by -2.\nAnswer: -251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 0)*(5 + 6 - 14 - 4*w).\nAnswer: -28*w - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -9 - (0 + -9) - 6) + -15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 4. Let m = 4 + -4. Let z be w(m). Is 10\/3 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -873 - -1370. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8831619 is divided by 143?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329 - 5.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45\/105*(-7777)\/(-33) is divided by 16\/(0 - -1) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53834 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (-25)\/((-2375)\/2489))*-115.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(2\/5))\/b)\/b*b)\/(b**15\/b))\/(b**(1\/15)*b\/b**(-12\/11)) assuming b is positive.\nAnswer: b**(-520\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**17)**45\/(x**(-6)*(x\/(x\/(x\/(x\/x**(3\/11)))))\/x) assuming x is positive.\nAnswer: x**(-7846\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + 0.64.\nAnswer: 75.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584913.\nAnswer: 3, 7, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*r - 4*r**3 - 492*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:38 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 52*x - 48*x + 95*x - 25 = 0, 3*x = -4*s - 71 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 3. Suppose -3*i + 1 = p + 5, 0 = -3*p - 2*i + 9. Let g be m(p). What is the remainder when (2*140\/g)\/(-1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1315467284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7190636 is divided by 1504.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*a - 145 + 1279 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 4*c - 11. Let s be l(4). Suppose 24 = 5*a + 4*t, -2*t = -s*a + 2*a + 32. Solve -4*x + 8 = -a*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3726491 and 3726489 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = 40. Let d = u - -15. Suppose -5*o - 2*b - b = -15, -d*o - 4*b + 10 = 0. Solve -3*m - 3*r = o, m - 12 = -3*m + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + -232. Let m = n + 304. Which is the second biggest value? (a) 0.11 (b) -3 (c) m (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162963906 and 21.\nAnswer: 162963906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -3\/5 (c) 71 (d) 12 (e) -0.2 (f) 2\/3 (g) -335\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -0.6572897.\nAnswer: -3.3427103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11001 + -63.05999. Let f = h + 62. Let w = -2.6 - f. Round w to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8985992 times -1\nAnswer: -8985992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -204*n + 82. Let z(p) = -203*p + 66. What is 4*s(w) - 5*z(w)?\nAnswer: 199*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 6 = 24. Suppose 4*b - i*q = -0 + 14, -4*b - 3*q = -19. Factor 15*z**b + 1073*z + 3*z**5 - 1097*z + 18*z**3 - z**2 - 11*z**2.\nAnswer: 3*z*(z - 1)*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4382*p. Let o(u) = -24856*u. Give z(o(y)).\nAnswer: -108918992*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 21 + 0 - 19.\nAnswer: -r - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204*c*g*j - 4*c*j*l**3 + 7*c*j - g*j*l**3 - 2*g*l**3 + 12*g*l + j*l - 680*l**2 wrt c.\nAnswer: 204*g*j - 4*j*l**3 + 7*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 1. Suppose 0 = 4*s - 69 + 21. Let w(n) = 2*n - 25. Let a be w(s). Let b(r) = 2*r**2 + r + 1. Determine a*b(g) - l(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109605 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 28. Let g = f + 30. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(6)*-2))\/sqrt(6))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/(-20) + 3 + 32\/(-10). Calculate the smallest common multiple of 33 and 0 + 5 + o + 3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -352.51 + 352.7. Which is the third smallest value? (a) t (b) -0.4 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219080569 is divided by 2381?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7483411\/1566456976 + 1\/650522. What is the common denominator of 83\/2408 and a?\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 64 = -5*g, -14 = -g - v. What is the least common multiple of g and ((-2)\/(-5))\/(-27*(-1)\/5130)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 66 = -5*i + 5*h, -3*h - 13 = 2*i. Let f(r) = -r - 7. Let o be f(i). Suppose -5*w - o = -24. Solve -4*u = -3*d + 27, w*u + 9 = d - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1807 + -1809. Which is the biggest value? (a) z (b) 2\/3 (c) -0.103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 2. Let j(b) = -b**2 + 2. Suppose 0 = 2*u + 3 + 3. Give u*h(q) + 4*j(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.2 (b) -27 (c) -1 (d) -3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2 + 38*j + 44. Let h(x) = 10*x**2 - 78*x - 88. Let z(u) = 4*h(u) + 7*s(u). Factor z(o).\nAnswer: -2*(o + 1)*(o + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 4, c: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292 + -286. Sort 1\/8, 2, 3, j in descending order.\nAnswer: j, 3, 2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59046703 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33546, -66595, -99644?\nAnswer: -132693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35930061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 - 830*k**2 + 622986*k + 269250246 = 0.\nAnswer: -489, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23865295 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-4\/3))\/(x**(-6\/5)\/x))\/(x**(1\/4)*x*x**(-2\/7)\/x)*(x**5*x*x*x**(-1))\/(x**(2\/3)*x\/x**(3\/5)) assuming x is positive.\nAnswer: x**(3991\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 282959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 3, j: 1, r: 1, b: 3, k: 2}. What is prob of picking 1 r and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(2*(-14)\/60).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0 (c) -0.3 (d) 1\/12 (e) 1 (f) -6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1703 and -101\/262.\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 5:49 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9398565 and 66?\nAnswer: 18797130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 - 195. Let m(s) be the third derivative of r*s**5 + 0*s**4 - 2*s**2 - 1\/6*s**3 + 0*s + 1\/40*s**6 + 0. What is the first derivative of m(j) wrt j?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3461 - -3505. What is the remainder when 113 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/791?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -180 + 16*v + 180 - 4*v - 7*v + 6*v + 0 + 0 + 2*v + (3 + 2 - 3)*(-v - 2*v + v) - 3 + v + 3.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6167*t + 6176*t + 90 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1462 + 1467 - 2929 + 713219*l.\nAnswer: 713219*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (7 - -27) - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g - 173 = -73 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11926 + 7028. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7110472 and 8.\nAnswer: 7110472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 7:24 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-10))\/((-47)\/(4230\/36)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + 12 - 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 12222?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -400*s + 398*s + 38*s**4 + 3 - 3*s**2 + 4*s**2 to v*s**2 + x*s + w*s**4 + h + z*s**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/18 - 2\/6. Put 0, m, -1 in descending order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 1. Let z(k) = 2*k - 58. Let t(a) = -3*i(a) + z(a). Let l(x) be the second derivative of -x**3\/3 - 26*x. Determine l(t(h)).\nAnswer: 2*h + 110","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -21, -9, 6 in ascending order.\nAnswer: -21, -9, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 2*w**6\/135 - 14*w**5\/45 + 23*w**4\/9 - 280*w**3\/27 + 200*w**2\/9 + 20*w. Solve m(n) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from bpnphhj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -3\/2, 1\/7, -11, 93?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (3\/6*14)\/((-4)\/(-16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -9*o**2 + 22821*o\/4 + 951\/2 = 0.\nAnswer: -1\/12, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2990853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1770673 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 3*d**4 + 2*d**2 + (d + 4 - 4)*(1635729*d**3 - 1635658*d**3 - d**2 + 21*d**2) as t*d**2 + h*d + i + o*d**4 + y*d**3 and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Suppose 0 = 3*q - 2*q. Suppose 4*v - 2 + 18 = q. Let g(i) = -i. What is v*o(l) + 3*g(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeeeeu. Give prob of sequence euee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10504147 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-1))\/(((-420)\/(-6))\/5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 4*a + 2. Let w be r(-4). Let l be 26 + w - (1 - -1). Let f(x) = -51 + 3*x + 25 + l. Let c(j) = 3*j. Determine c(f(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -431.9928 - 0.7072. Let a = f + 416. What is a rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 43. Let s be (-4)\/18 + g\/(-36). Which is the closest to 2\/7? (a) 0.2 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000039062088 rounded to seven decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 122437 = -2*n - 122479, -4*s - n = 41 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*w + r, -5*r = -3*w + 23. Let f be 0 - (16\/(-4) + w). Let t(x) = x - 1. Let z(y) = 6*y - 5. Determine f*t(q) - z(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 10, b: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5391 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 2376 = 1306 - 1522. Solve -382 = r*n + 185 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -884, -2058, -3798, -6158, -9192?\nAnswer: -12954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/60 - (-2439)\/12. Solve -27 = 194*s - z*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4785*h**2 - h. Let w(b) = -10204*b. Give w(r(o)).\nAnswer: 48826140*o**2 + 10204*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -671.7+-31030901\nAnswer: -31031572.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 5) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 6975077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 40. Let n(t) = 31*t**2 - 2*t - 1043. Determine n(i(b)).\nAnswer: 124*b**2 - 4964*b + 48637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001 (base 2) in base 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 7*v**2 + 27*v + 55. Give d(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 7217*m + 14458. Determine h(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44, -31, -8, 25?\n\"Answer: 5*j**2 - 2*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u*v + 125*u + 740*v + 10 wrt v.\nAnswer: -u + 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1010001011000 (base 2) to base 15\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11881.7 - -11118. Round g to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -465 + 247. Let k = -216 - c. Solve 11*p + k = 13*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231162441 to the nearest integer?\nAnswer: 15204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1110110000000101110100 (base 2) to base 15\nAnswer: -515b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = 4*s, -3*s + 2*c + 6 = -0*c. Suppose 4*x = s*d + d + 4, -3*x + 8 = -d. Solve 0 = -9*f + 8*f + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.8 - -8.7. Which is the nearest to 3\/5? (a) 2 (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-67 - (-48 - -1) - (46 + 2))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.183 - 21.27974395.\nAnswer: -21.46274395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*2\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:42 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12540\/(-80))\/33*4\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 plus -965?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**17\/g)\/g*g)\/((g*(g*(g\/(g\/(g**(-37)\/g))*g*g*g)\/g)\/g)\/g)*(g*g\/(g**(-8\/7)\/g))\/(g**(1\/32)\/g) assuming g is positive.\nAnswer: g**(12793\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5532605ml in litres?\nAnswer: 0.0005532605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/2 - (-33 + 40). Solve 0 = 7*d - 14*d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/360 - 7*b**5\/120 + b**4\/6 - 4*b**3\/3 - 2*b**2. Let n(s) be the first derivative of g(s). What is n(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 42. Solve 0 = -4*w + q + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d + 2*d + 6*d)*(-4*d**2 - 22*d**2 - 4*d**2) + d**3 + 0*d**2 + 0*d**2 + (-2*d + 0 + 0)*(-2*d + d**2 + 2*d).\nAnswer: -601*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4565715, 9131416, 13697117, 18262818, 22828519?\n\"Answer: 4565701*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 191 and -0.3?\nAnswer: -57.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 26*j + 25. Let k be p(-14). What is the remainder when 42 is divided by 151\/7 + (k - (-72)\/21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173a01 (base 11) to base 7\nAnswer: -2166335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 27*c - 4. What is the units digit of h(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6562 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjjbjjjjjj. Give prob of picking 1 b and 1 j.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1.3, 1, -1\/2 in descending order.\nAnswer: 2, 1.3, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**5\/15 + 2*x**4\/9 + 16*x**3\/9 + 75*x - 7. Factor r(u).\nAnswer: -4*u*(u - 4)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(343)*1 - (sqrt(448) + -1 + (sqrt(7) + sqrt(7)*3)*2 + sqrt(7)))**2.\nAnswer: 62*sqrt(7) + 6728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7706 + 7704. Is 181\/5 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206827936 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*r - 24*r - 22*r - 275*r**2.\nAnswer: -275*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39 and -22.\nAnswer: -8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 36. Let h = w + -11. Let r = 713\/5 - 143. Which is the closest to 0? (a) 1\/4 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - c**3 - 10 - 5*c**2 + 5*c**4 + 350*c - 355*c - 3 + 3*c**2 in the form a*c**4 + i*c**3 + f + d*c**2 + t*c and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4 - v**3 + v**2\/2 + 3*v + 6. What is the tens digit of g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.05 - -7. Let z = 0.22 - -0.23. Let i = x + z. What is i rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 1233 + 1233.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d**3 - 2*d**2 + 4*d - 2. Let i(h) = -18*h**3 + 3*h**2 - 5*h + 3. Determine -2*i(x) - 3*l(x).\nAnswer: -15*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 20. What is the remainder when (-539)\/(-14) + 2\/(-4) is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 50845492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/30 and 73\/10710.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1573) + sqrt(1573) + (sqrt(1573)*1 - sqrt(1573))) - (1*sqrt(1573) + -5)) + -4 + (0 + sqrt(1573))**2 + 5*sqrt(1573)*1.\nAnswer: 132*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 + h. Suppose -4 = -2*f, 2*v - 5*f + 3*f = -10. Determine n(v).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 - 2488*i - 386884 = 0.\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2200 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17 = -8, 0 = -c - 2*v - 55. Let j = c + 77. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(128)*-1 + -2))**2 + 0.\nAnswer: 800*sqrt(2) + 3298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((15 - -18) + 1) - (4 - -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 15*m + 32*m. Sort -85, m, 0, -5 in decreasing order.\nAnswer: m, 0, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**2\/2 - q. Let g(n) = -n + 2. Let h(b) = -g(b) - 3*p(b). Calculate h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 29*s - 47. Let b be l(16). Does 45 divide (-1)\/((5\/(-450))\/(b\/2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**3 - 7*k**2 - 8*k - 6. Let g be (2 - (-2)\/(-2))*-6. Let o(w) = -5 + 5*w**3 - 5*w - 6*w**2 + 0*w**3 - 2*w. What is g*f(z) + 7*o(z)?\nAnswer: -z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y - 4*i = 79 + 195, 2*y + 5*i = 6*y + 67 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 4:21 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwvwwwv. What is prob of sequence vv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**2*v**2 + 65*r**2*v + 4*r**2 - 4*r*v**2 + 2425*r + 2*v**2 + 2 wrt r.\nAnswer: -6*v**2 + 130*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 45*s**2 + 88*s - 140. Determine r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 2*d**2 + 0 + 0. Let f(z) = z**2 + 3*z + 3. Let r(x) = x**2 + 2*x + 2. Let p(s) = 2*f(s) - 3*r(s). Calculate c(p(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnqnsqnqnqnqqnsnnq. What is prob of sequence snq?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**9\/75600 + r**7\/12600 + r**4\/4 - r. Let h(c) be the third derivative of s(c). Determine p, given that h(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7790)\/11275 + (-2)\/(-15)*12.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 9*l - 7. Let r be m(7). Let u(o) = -10*o + 3. Let z be u(2). Let g = r + z. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 2, a: 4, f: 3, e: 3, g: 1}. What is prob of sequence euf?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -15.\nAnswer: -15, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87454529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -10)*(1 - -3). Let y be (-6)\/(4*1\/s). Let d(i) = i**2 + 6*i + 4. Is d(y) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-3))\/(4\/(-18)*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + -4?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r + 6*r - 218 + 12*r + 208. Let q(h) = 7*h. What is t(q(a))?\nAnswer: 63*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8208754*f**5 + 20740744*f**2.\nAnswer: 492525240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**9\/252 + 3*n**8\/112 + 11*n**5\/20 + n**3\/2 - 272*n**2. Find the third derivative of g(q) wrt q.\nAnswer: 240*q**3 + 540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 365 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -203.0003365 + 203. Round h to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53\/318 - 29\/(-6). Let m be (-1)\/4 - 13\/(-4). Suppose t*c - c + 4*l - 124 = 0, -2*l = m*c - 96. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385 - -622024491\nAnswer: 622024106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 7:40 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -7*v + 140 - 458, -v - 120 = -2*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93803189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -108, -334, -570, -822, -1096, -1398, -1734?\n\"Answer: -n**3 + n**2 - 222*n + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -69, -90, -131, -198?\n\"Answer: -b**3 - b**2 + 3*b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2. Suppose -2*y = -2*j + 8, 5*y + 10 = 4*j - 6. Suppose j*k = 7*k - 6. Let m(w) = -4*w**2 + 0*w**k - 6*w**2 + 6*w**2. Determine m(t(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k + 31 = -3*p, -2*p = -3*k + 44. Let f be ((-1299)\/12)\/(k\/8). Let x = -62 - f. Which is the nearest to -1? (a) -0.3 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10852 and 17276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 68 = -207. Let d(y) = 0*y**3 + 232*y**2 - 2*y - 243*y**2 + y**3 + 13. Determine d(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*w - 2 + w)*(-34 + 3 - 22 + (3 - 3 - 1)*(-3 + 1 + 4) - 1 + 0 + 2 + 0 + 4 - 3 - 2 + 7 - 3 + 0 - 1 + 3).\nAnswer: -147*w - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 21*g**3 - 9*g**2 + 2*g + 7. Suppose 8 = -y - 4*i, -5*y - 4*i + 10 - 2 = 0. List the prime factors of s(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 - 14\/6. Suppose -4*w + 9*w + 26 = v, -3*v - 4*w = 17. Let y(n) = 3*n + n + 0 + v. Let a(u) = 5*u + 2. Determine l*y(q) + 2*a(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259641401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 8*t**2 + 5*t - 9. Let s be y(6). Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 782*r**2 + 11226*r - 65182. What is h(796)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*l - 28 = -96*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 168 = 4*w. Suppose -u + 372 = -2*u + 4*s, -4*s - 1488 = 4*u. Let l be (-2)\/(-9) - u\/27. What is the highest common factor of w and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-11 - (0 + -9 + 7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u**3 + 0 + 0*u - 6*u**2 + 0*u**4 - 7\/60*u**5. Let b(s) = -s. What is b(n(i))?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57254.47 + 57254.4. Suppose -4*v + 5*q + 8 = 0, 8 = 2*v + 2*v + 5*q. Let i be (6\/(-10))\/(3\/v). Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((-13)\/2141594*-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (5 + -60 - -21)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4238 (base 15) to base 3.\nAnswer: 201012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/23)\/h)**(-2\/45)*(h*h*h**(8\/5)*h)\/(h\/(h**32*h)) assuming h is positive.\nAnswer: h**(37921\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4048 (base 11) to base 6.\nAnswer: 40520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqlqqmmlqmllmlqlqqq. Give prob of sequence qmql.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439703.\nAnswer: 11, 71, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 970 or 2914\/3?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 26. Let j(h) be the first derivative of -22*h**3\/3 - 2*h**2 - 6. Let o(d) = 110*d**2 + 20*d. Let y(a) = x*j(a) - 3*o(a). Factor y(b).\nAnswer: 2*b*(11*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-21)\/(c\/c**(-27))*c**(-10)*c**(-1\/24)\/c assuming c is positive.\nAnswer: c**(-1441\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (26 + -11)) + -13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b33 (base 15) to base 9.\nAnswer: -23873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 10*u + 3. Let b(m) = 8*m - 79. Let n be b(9). Calculate a(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*sqrt(95)\/sqrt(125).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*k + 12, -2*l = 5*k + 1 - 10. Let o(n) = 2*n**2 - 12*n - 26. Let i be o(8). Let v(x) = -4*x**2 - 2*x + 8*x - x**k - i - 3*x. Calculate v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 1. Let w be r(5). Suppose -8 = -3*n + 7. Suppose -26 = -n*b + x - 2, 8 = w*b + 2*x. Solve -b*t - 4*f + 12 = 0, 0 = -2*t - 0*t + f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) 3 (c) -12 (d) -0.2 (e) -3\/2263 (f) -2 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x + 113. Let g be z(-11). Let b = g + -188. What is the greatest common factor of 136 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.128 - 0.003. Round n to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-124)\/4)\/(465\/(-62)*2\/(-15))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 5*d**2 + d + 2. Let b be 3\/((-6)\/(-44)) + 4. Suppose 24 = j - 0*j. Let x = b - j. Give k(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174\/5 - 171\/5. Let f = 9.6 + -11.48. Let r = f + -0.12. Is t at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 22. Let n be (h\/(-2))\/((-3)\/(-6)). Let s = 46 - 35. Solve -f + 2*j = 4*f - n, -4*j = -3*f + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10722, -42895, -96516, -171585, -268102, -386067?\nAnswer: -525480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/34904860 and 83\/8.\nAnswer: 69809720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 2.477.\nAnswer: 2.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14 - 37*p + 16*p - 11*p**2 + p**3 + 42*p. Give z(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/(-42) + -3)*77. Does -135 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98959 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.219 and -735127.\nAnswer: 160992.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497216 is divided by 88?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 286676 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3960\/480*12\/22.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14229 - -14231. Solve 2*b + 4 = 4*v, -b - o*v + 179 = 177 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149799 by 897.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7) - (-1 + sqrt(7)))**2 + sqrt(7)*1 + 4 + ((0 + sqrt(343))*-1)**2.\nAnswer: sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let l(c) = -170*c - 8. Let a(b) = -171*b - 10. Give -4*a(f) + 5*l(f).\nAnswer: -166*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -131431?\nAnswer: 131424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -584 + 263. Let q = -4813\/15 - x. Is 1 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b2819 (base 13) to base 14\nAnswer: 8484b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 h, and 1 e when three letters picked without replacement from {h: 4, w: 1, f: 2, s: 1, e: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1085 and 7378?\nAnswer: 36890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*w. Suppose c + 9 = 3*u - w, -9 = -3*u. Solve -3 = -3*y, 5*q - 5*y - 1 - 19 = c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 11) in base 14?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 - 3*w**2 - 7*w - 8. Let x be y(-2). Let b be 2\/x - 7\/63*2. Let k be 2*(-10)\/8*-2. What is the third smallest value in k, -2\/5, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 9, 4*y - 6*h - 36 = -2*h. Suppose 2*u = y*u - 448. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 5. Let y = v - -35. Which is the nearest to y? (a) 3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1380\/48645)\/((-26)\/52*4\/6).\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04918 and -24.88.\nAnswer: 1.2235984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2239 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 - 66*p\/7 + 288\/7.\nAnswer: 3*(p - 16)*(p - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 38*o**2 + 16*o + 621. Calculate w(-38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*n + 65 = -215*n. Solve 3*q - c - 7 = n, 2*q = -4*c - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 4, 0.4, 0.3, -762528?\nAnswer: -762528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000011100000 + -11000100?\nAnswer: -1001000110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -474, -1, 3, 77, 11 in decreasing order.\nAnswer: 77, 11, 3, -1, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = -4*j. Solve t + 2*f + 10 = j, -2*t - f - 9 = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.7 - 28.72. Sort p, 4\/3, 0.3, -5 in descending order.\nAnswer: 4\/3, 0.3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 11. Let p(r) = r**2 - r + 5. Let g be p(w). Suppose 0*t - 5*v = 4*t - g, -5*v = -t + 25. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 4*b - 1. Let n(x) = -2*x - 6. Let d be n(-5). Suppose 0 = 3*v + 2*l + 9, 5*v - 3*v + d*l + 6 = 0. Let i(p) = -p. Let u be i(v). Give j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q + 69*q = 13*q. Suppose -2\/7*u**3 + 0 + 2\/7*u + q*u**2 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501634478 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: b\"What is the yth term of -536, -540, -546, -554?\n\"Answer: -y**2 - y - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23780\/(-1044) - (12 - 35).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-256)\/(-5))\/8)\/((-29)\/145)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 57*w - 1080. Let n be s(15). Solve n = -19*t + 20*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*h + 588260 = 542750 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 837 and 186?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1246377 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 30*x + 6 + 31*x.\nAnswer: 61*x + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 3 + 1 + 1. Calculate the lowest common multiple of 15 and x(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v + 1 - 30*v - 1.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 3, e: 5}. Give prob of sequence uu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 350816 divided by -43852?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 410650346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 62 = 17. Let r = -5 + f. Solve r - 1 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110110111111100011 (base 2) in base 8?\nAnswer: -17667743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i + 1. Let c(j) = -8*j + 81. Let s be c(10). Give q(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + n)*(-2*n + 6*n + 0*n)*(2 + 0 + 0).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (6 - (7 + 5 + -10)) + 23 + -19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h**2 - 56*h + 4. Let p be w(-3). Let n(f) = 3*f**2 - f + 3. Let j be n(3). Let k be j\/(-504)*(-2)\/(-3). Is p != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 6. Let m(q) = 2*q - 10. Let x(l) = 9. Suppose t - 8*u = -10*u + 12, 0 = -5*t + 3*u - 5. Let s(o) = t*m(o) + 3*x(o). What is -5*s(g) - 6*z(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigsgzgxixgxtgzzgg. Give prob of picking 1 g, 1 t, 1 x, and 1 s.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 300 = 14*t. Let p(g) = g**3 + 9*g**2 + 4*g + 7. Let w = -4 - 4. Calculate the remainder when p(w) is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3 + 1, 0 = 5*y - 2*d - 23. Solve 0 = -y*f + 2*t + 9, -4*f + 9*f = t + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l - 2*l)*(-3*l**2 + 4*l**2 - 2*l**2) + 68*l**2 - 68*l**2 - 45*l**3 + l**3 + 6*l**3 - 3*l**3 as m*l**2 + q*l + j + i*l**3 and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 258*u**2 + u. Let i be 21\/(-9) + 4\/3. Is r(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/2 - -25\/18. Suppose 7*g = 9*g - 4. Let d be 1 + g + -2 - 50\/20. Which is the closest to -1? (a) -1\/5 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87, -113, -123, -111, -71, 3?\n\"Answer: j**3 + 2*j**2 - 39*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 1. Let r(q) = -5*q + 3. Let l(w) = 10*w - 6. Let y(n) = 2*l(n) + 5*r(n). What is -4*k(u) + y(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:13 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10078656 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 23 - 36 + 5*r + 51. Let z be q(-7). Solve -2*m + z = -3*k - 2, 0 = -m + 2*k + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*m - 138*m + 0*m**2 + 5*m**2 + 94*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. What is the derivative of -n*o**2 + 0*o**2 - 2*o**2 + 5 wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d526 + 143?\nAnswer: -1d3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*n + 7*n + 18 - 30.\nAnswer: 9*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 6*f + 6. Let a be d(6). Suppose p = a*p + j - 174, 0 = 4*p + 5*j - 135. Calculate the remainder when 104 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -213. Let z = 61 + m. Let u(g) = g - 2. Let y(j) = -5*j + 11. Give z*y(w) - 11*u(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -4 + -5 + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000010 - 1111100?\nAnswer: -1111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020731022 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a + 8*a**2 + 12*a)*(-a + a + 2*a).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.6431 and 252806437.\nAnswer: 252806442.6431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.4 + -149.4. Let m = i + 127.9999701. Round m to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 20. Let g = -139\/111 + -3\/37. Which is the smallest value? (a) h (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 + 37*l - 120. Let a be j(3). What is the hundreds digit of 10728\/56 - a\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*c**2 - 914*c**2 - 101*c**2)*(0*c + 0*c + 2*c).\nAnswer: -1516*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 6*s**2 - 7*s + 6. Let q = 6 - 13. What is the units digit of r(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 14643 = -4635. Suppose 0 = -15*f + 981 + u. Calculate the remainder when f is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 - -81. Let h be (j\/(-8))\/((-5)\/60). Factor -44 + 4*b + 44 - 5*b**3 + 4*b**5 - h*b**3.\nAnswer: 4*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29\/(-4)*(-272 + 0 - (-134 - -130))?\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + 6*d**5 - d**5 + (-5 - 6*d**4 + 5)*(-2*d - 2*d - 5*d).\nAnswer: 55*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) + (-1160)\/(-385). Factor 2\/11*z - 4\/11 + g*z**2.\nAnswer: 2*(3*z - 1)*(5*z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2126710200 to the nearest integer?\nAnswer: 46116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456556 is divided by 91296?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 179522944937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -18. Let s = z + -66.8. Let r = 6.800124 + s. Round r to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 129 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.1 - -40.1. Let s = -1 + -4. What is the third smallest value in 2, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-5)*(-135)\/(-81)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156.9158 - 0.0842. Let l = -156.97 - n. What is the nearest to 1\/3 in -3, l, -0.2, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 43 - 83. Suppose 4*w - 4*c = 444, 5*w - 3*c = -2*c + 543. Suppose -w - j = -6*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 24 - 20 - 478*s**2 + 477*s**2 + 67.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (3292020\/(-240))\/(6\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 28, 18, -12, -68, -156, -282?\n\"Answer: -y**3 - y**2 + 14*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + (-584)\/12. Let x = a + 364. Suppose 2*c + 2*p = -316, 0*c + 4*p = 2*c + x. What is c rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 531 - 311. Suppose 0 = 35*z - 30*z - n. What is the greatest common factor of z and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 - 7. Let i(m) be the first derivative of -m**3\/3 - 2*m - 2. Let h(l) = -14*i(l) + 4*q(l). Let n(f) = 4*f. Calculate n(h(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118118 or -118113?\nAnswer: -118118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 187?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**5\/45 - c**4\/6 - 2*c**3\/9 + 11*c**2\/9 - 4*c\/3 + 26. Factor f(i).\nAnswer: 2*(i - 3)*(i - 1)**2*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11120712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2 - 2) + 1 + 2 - -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*j - 0*h - 4, -3*h = 2*j - 29. Suppose 3*z - 2*x + x = 3, x = 5*z - j. Let a(o) = 2*o + 1. Let u be a(2). Solve -y - z + u = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c + 97. Let h be n(12). Suppose t - h = 4. Solve 5*k - 5 = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 193439.3\nAnswer: 77375.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 77 = -23. Let j be (1\/(-4))\/(15\/p). Which is bigger: 14 or j?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/40 - v**5\/10 - v**4\/8 + 2*v**2 - 28*v. Factor a(i).\nAnswer: -3*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-30)*3\/9\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 169*y**2 - 11*y - 37. Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 2 l when four letters picked without replacement from {y: 1, o: 1, z: 11, x: 1, l: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 653594 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 317 - 316. Sort -3\/8, g, -11.\nAnswer: -11, -3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 104, 208, 314, 422, 532, 644, 758?\n\"Answer: s**2 + 101*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 28) + 7 + 10 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 (base 9) in base 16?\nAnswer: 5d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -8, 5 in increasing order.\nAnswer: -8, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 93*d**2 - d + 2. What are the prime factors of n(1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5576559?\nAnswer: 3, 31, 61, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-5)\/((-15)\/(-54)))\/(9\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + 172\/(-24))*-150. Solve 2*c - 19 = 5*r, r - 22*c = -u*c - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 60*q + 100*q + 4*q - 68*q + 29*q as g + k*q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 2 = f + 4*m, 0 = -5*f - 2*m + 55. Let j = f - -182. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 50 = 0, -2*k - 4*j + 20 = -7*k. Suppose 0*x - 2*x - 13 = 3*n, 0 = -4*x - n - 1. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4466\/464 - (1 + -2 + 11)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 336 and 63600.\nAnswer: 21369600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5248 divided by -41.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(9\/(-4274)) + (370\/10)\/111?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jamuutya. Give prob of sequence aua.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12375*z + 2. Let t(s) = -208*s**2. Determine w(t(p)).\nAnswer: -2574000*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118.2 - -115.2. Suppose 5 = 4*h - 7. Let j = h + -3. Which is the nearest to j? (a) -1\/4 (b) o (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 31 + 219 = 0. Let n = f - 38. Suppose n*v = -6 + 6. Solve z - 4*z - 6 = v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4 + 5*h - 7 - 3*h. Calculate c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 2*x. Let w(q) be the third derivative of q**5\/30 - 5*q**4\/24 - 2*q**2 + q. Determine -11*v(u) - 4*w(u).\nAnswer: 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 800 and 8801600?\nAnswer: 8801600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/8 - 4\/16. Suppose 0 = x*g - 7 - 8. Suppose -g*v - 43 = -6*v + 5*y, 3*y + 93 = 5*v. Solve 5*f - 4*j = v, 5*f + 8 - 34 = -j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/2)\/((-4)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 549364*x\/9 - 37725100562\/9.\nAnswer: -2*(x + 137341)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58269, 58296, 58341, 58404, 58485, 58584, 58701?\n\"Answer: 9*v**2 + 58260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040059249 to three dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - -51*(-78)\/(-42). Is n smaller than 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 26599950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0*c**2 + 23\/28*c**8 + 0*c**6 + 0 + 5\/12*c**4 + 0*c**7 - 28*c + 0*c**5 + 0*c**3. What is the third derivative of j(w) wrt w?\nAnswer: 5520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 8?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.14 + -0.14. Let h = 6.7 - f. Suppose -5*u + 10 = -5*o, 4*u + u - 5 = 4*o. Which is the smallest value? (a) 2\/9 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -81*d + 82*d. Solve v + d = -2*l, -l + 2 = -3*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/8 + 145455*f**2\/4 + 145461*f.\nAnswer: -3*f*(f - 96974)*(f + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (2 - 3)) + (-10 - 2) + (131 - 124)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8305399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-4\/11)*(p**(-19)\/p)\/p*p*p\/((p*p*(p*(p*p**10*p)\/p)\/p)\/p)*p*p*p\/p**(2\/9) assuming p is positive.\nAnswer: p**(-2659\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u + 1 - 25 + 5 + 4*u + 13*u**2 + 10.\nAnswer: 13*u**2 - 25*u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -0.3 (b) 0.4 (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-48)*-5*(-24)\/60*2624\/(-164).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 m when four letters picked without replacement from {m: 5, e: 3, w: 3, k: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1028 and 47340428.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) 1\/7 (c) -233908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 31. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - 59\/(-2). Suppose 2*b - f - 6 = 0. Suppose -857*l + 3583 = 37*l - 5357. What is the smallest common multiple of b and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-200)\/(-75) - 2\/3. Solve z*y = -5*m + 12, 1 = 3*m - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**5)\/(q\/(q*((q*(q*q**(-4\/9))\/q)\/q*q)\/q))*(q*q*q**0*q)**(-1\/36))\/((q*q*q**(2\/3)*q*q**4*q)\/(q**(2\/3)*q*q)**(2\/9)) assuming q is positive.\nAnswer: q**(-281\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96879 is divided by 692?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 285329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 4 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -111 + 91, b - 4*x - 22 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*t - 2 = 5, -9*n - 6*t - 1 = -18*t + 4*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -72*x - 16. What is the units digit of a(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w + 53*w - 247 + 107. Which is the second smallest value? (a) w (b) 3\/11 (c) -475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 - (145 + -74 - -27)?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/1 + (2 - -6). Calculate the greatest common divisor of h and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 5*o - 5*o + (-6*o + 2*o + 2*o)*(-2 + 2 - 2*o) - 58 + 2*o - 9*o**2 + 58 + (o - 3*o + 4*o)*(0*o + 6*o + o).\nAnswer: 7*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3886 - -3882. Sort t, 5, -1726 in descending order.\nAnswer: 5, t, -1726","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01688 + -0.0168779035. Round n to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = 135*m - 48 + 1664 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let a be (-1 - 1)*408\/48. Put s, a, -4 in decreasing order.\nAnswer: s, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(990\/27))\/((-6)\/16).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/3 and -211\/189750?\nAnswer: 189750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 673\/2 + 2\/4*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*z**2 - 45*z**2 - 14*z**2 + 13*z - 36*z**2 + 219*z**2 to the form l + h*z + v*z**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161429592 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:06 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 295 - 295. Suppose v = -4*w - n + 34, -53*w + 47 = -48*w - n. Let i be (4 + -5)*(-19 + 1). Calculate the greatest common divisor of i and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 0 - 302\/(-36) and -2 - 45\/(-21) - (27 - (-360300)\/(-13356)).\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34082 - 6320 = -2*k. Let y = k - 5780. Suppose -3916 + y = 5*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = 75. Suppose 4*u = 2*g - 3*g - t, -6 = 4*g - 2*u. Put g, 0, -2 in descending order.\nAnswer: 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42762 and 7680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266737977\/116130712 + 520\/73687. Let g = 2134411\/1182 - 10835\/6. Let s = g - f. Calculate the common denominator of -31\/18 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjtj when four letters picked without replacement from jyyfjtktjytktjfk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*t - 11*t + 13*t - 12*t - 101)*(0 + 0 + 2*t) in the form f*t + c + g*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 32*v**2 - 388*v + 51. Let p be q(12). Suppose 0 + 36\/7*z**2 + 3*z**p - 12\/7*z = 0. Calculate z.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(176).\nAnswer: 4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s + 18*s - 29*s - 148699598 + 148699598.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:05 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2306178966 to the nearest 1000000.\nAnswer: 2306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(190)*-2 - (4*sqrt(190)*-6 + sqrt(190)))\/((sqrt(90) - 1*sqrt(90)*3 - sqrt(90))\/(sqrt(54)\/(sqrt(6)*1))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13120.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0.8. Let c = 208 - 51. Let k = 156 - c. Sort a, k, -2, 0.1 in ascending order.\nAnswer: -2, k, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.146899562 to three decimal places.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = 0, 14 = 2*q + o + o. Solve q*v + v = -3*j + 15, -5*v + 5*j = 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -7*h - 29. Sort -3, -18, h in descending order.\nAnswer: h, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -4 - (10 + (-7 - 13) + 7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3 + (-2310)\/(-771)). Suppose 0 = -5*m + 3*m - q + p, -q + 638 = 5*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21552 (base 6) in base 2?\nAnswer: 101111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -6 (c) 3\/8 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4*9\/(-18). Suppose 3*f = 5*f - 4. Let d be f*(-1 - -2) - -2. Which is the second biggest value? (a) 0 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 2*z - 1, -p = 5*z + 11. Let u be 2 + -1 - p - -7. What is the highest common divisor of 63 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3424*d + 2810*d + 311*d + 309*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.1103343694 to 3 decimal places.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1101976645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 509, 1140, 2033, 3194, 4629, 6344, 8345?\nAnswer: 10638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/2465 + -121\/4930. What is the common denominator of -65\/204 and a?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/633119? (a) 1 (b) -1\/2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 5. Let s be o(3). Solve 5*r - 4*l + 4 = 0, -5*r - s*l - 20 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/17)*r**(2\/67))\/(((r**(2\/9)\/r)\/r)\/(r*r\/r**(-1\/5))) assuming r is positive.\nAnswer: r**(259681\/51255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:23 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7500001*8)\/(-2)*-1. Suppose 0 = -3*l - y + 30000001, -4*y = 2*l + l - c. Round l to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x - 3 + 0 - 2*x. Let q = -7 - -4. What is the units digit of g(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*l - 65*l + 160*l + 3 + 0 to u*l + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 2*f**4 + 1 - f + 0*f + f**3 to u*f**2 + i*f**3 + c + m*f**4 + s*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2414*h. Let m(s) = -3*s**2. What is f(m(y))?\nAnswer: -7242*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -121. Which is greater: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1201340 + 120124?\nAnswer: 1322014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -502046 and -0.6.\nAnswer: 301227.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7)*v)**(-2\/29) assuming v is positive.\nAnswer: v**(10\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 104*q + 3245. Give x(-31).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y + 4. Let u(x) = 7*x - 5. Let a(g) = -2*o(g) - 3*u(g). Let j(s) = -3*s + 3. What is -4*a(p) + 9*j(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:59 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1947 and 5577.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49278, 49232, 49186, 49140, 49094?\nAnswer: 49048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3 - -17.5.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1 - 11*p**2 + 0 + 10*p**2 + 2*p**2 - p. What is the units digit of c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 23*t - 2. Suppose -a + 0*a - t = 0, 0 = 3*p - 5*a - 19. Solve -p*b - 4*o = o + 7, 2*b - 8 = 3*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264172 is divided by 45149.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 19 = -22*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 11354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*l, 3*l - 31 - 18 = -5*d. Calculate the remainder when 25 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.51 and 11.\nAnswer: 5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 64 = 14, 5*x + 20 = -3*j. Suppose -3*u = -8*u + 15, 0 = -3*r - 5*u + 24. Let y(v) = 0 - 6 - v**2 + 2*v + r. Determine y(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 1, 34, 101, 214?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:08 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -236*a**3 + 10*a**2 + 97*a - 19297115 wrt a?\nAnswer: -708*a**2 + 20*a + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 3*m - 3. Let y = -12 - -5. Find the common denominator of (-75)\/14 + 5\/(-35) and a(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14690 - 14690.17071. What is z rounded to three decimal places?\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2 + 3 + 6 - r. Let h(u) = -u**2 - 2*u + 12. Let s be h(-5). Let z = s + 11. Determine k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1)\/(2*1). Let g(i) = -i**3 + 6*i**2 + 7*i - 9. Let q be g(7). Let y be ((-4)\/6)\/((-21)\/q). Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -4 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 131 + 67 - 3*h**2 + 62 to y*h**2 + n*h**3 + f + v*h and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1940, 7664, 17172, 30464?\nAnswer: 47540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 84*w**3 + 47942992*w**2 - 31962060*w - 15981016 = 0. What is w?\nAnswer: -3995254\/7, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*v**2 + 2*v wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((75\/76)\/(-1) - -1). Let o = h + 158. Suppose -22*n + 27*n + 2*n - n**3 - o*n**2 = 0. What is n?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2221*w = -2210*w - 66 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -198637\/125 < -1589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 39 = 57*y + 21 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16756 is divided by 135?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77693, -310558, -698575, -1241738, -1940041?\n\"Answer: u**3 - 77582*u**2 - 126*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253 and 25502653.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n + 1. Let v(o) = -o**3 + 3*o**2 - 3*o - 6. Determine 3*s(m) + v(m).\nAnswer: -m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/16)\/(7*17\/(-238)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129809 and 3494274?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 10*v**2 + 11*v - 6. Let u = -34 + -8. Let m = u - -51. Determine b(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.39 - 1.39. Which is the second biggest value? (a) -0.2 (b) -2\/9 (c) -0.5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4325671 rounded to 3 dps?\nAnswer: -0.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2240 and 960?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-20)*c**16*c*c**(-1\/2)*c**(-5) assuming c is positive.\nAnswer: c**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 19*y + 85. Let a be d(-9). Let u be a + 5 + (3 - 12\/(-6)). Solve 3*f + 3*p = -15, u*p = -0*f - f - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195*i**6 + 2734*i**3 - 2*i**2 + 766*i + 9.\nAnswer: -23400*i**3 + 16404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14563\/32627 - -68884703287\/1761858. Let u = -39095 + s. What is the common denominator of u and -73\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(7\/(-126)). Suppose i = -4*b + 143, -5*i + 91 = 3*b - i. Calculate the remainder when b is divided by g*(2 - 0) - -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33 + 62)\/(3 + (-1 - 1)). What is the greatest common divisor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 2*b**4 - b**2 - 48 + 13*b - 432*b**3 + 423*b**3 to w*b + z*b**3 + v*b**4 + g + r*b**2 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46\/5 + -133\/15. Let x(f) be the second derivative of 2\/9*f**3 - f - d*f**2 - 1\/18*f**4 + 0. Find u, given that x(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3535*q - 1772*q - 1760*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**27*w**(-11)\/((w\/(w**(-8\/3)\/w))\/w) assuming w is positive.\nAnswer: w**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 29. Let t be b(7). Suppose 10 = 4*h - t. Suppose -3*q + 3 = -3*y, 2*y = -4*q + 26 - h. Solve y*n + n - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101030 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1333, 0, -7, -11 in increasing order.\nAnswer: -11, -7, 0, 1333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2108 and 2356?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6)*35\/175?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(272) + 1 + sqrt(272)) + sqrt(272) + 5)*1*-3 + 0.\nAnswer: -36*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 + 7*j - 3. Let u(a) = a**3 - a**2 + 1. Let l be u(2). Is r(l) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 38 = y, 73*l = 68*l + 3*y + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {n: 1, x: 1, h: 2, t: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 138?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Suppose 4*s = 13 + 23. What is the greatest common divisor of s and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96826*m = -96756*m - 421 + 2661 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -19. Suppose -m = 3*h - d, -3*h + 8*h = -2*m. Suppose 5*z = -10, h*w - 4*z - 50 = -2*z. Solve 0 = 3*x + 2*o - w, -4*x = 2*o - 14 - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*y - 6, 0 = -q + 3*q - 5*y + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(204) + sqrt(204)*2 + sqrt(204))\/sqrt(4))\/(sqrt(75) + 1*sqrt(75) - sqrt(75)).\nAnswer: -16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1863 + -0.9863. Sort 5, g, -0.04929.\nAnswer: -0.04929, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*j - 62 + 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -576 less than -576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3902, -15966, -36072, -64220?\nAnswer: -100410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787553 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 0*v - 9*v)*(3*v - 2*v - 5*v)*(v - 6*v + 3*v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*d - 395*d = 8. Find the second derivative of -77*k**4 - 1 - 17*k - 171*k - 64*k + d wrt k.\nAnswer: -924*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 5468689*o.\nAnswer: 5468689*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let l be d\/(-8) + (-930)\/(-8). Let b = -83 + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/98)\/(10\/(-35))*2\/5. Sort -4, 1, 0.1, -5, o in descending order.\nAnswer: 1, 0.1, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/44)\/(23664\/(-748))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 4. Let z = 1.319 - 1.619. Sort z, o, -0.2.\nAnswer: z, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 5, s: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*t, -5*h + 3*t - 20 = -h. Let c be 15\/21 + h\/(-7). Is c >= 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -35*x**5 + 27325*x**4 + 1276805*x**3 + 1604195*x**2 + 354750*x = 0.\nAnswer: -43, -1, -2\/7, 0, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/(-5) - (-12)\/20. Let o = l - -8. Solve -2*m + o*j = -18, -2*j + 11 = m - 5*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 17 (b) -2 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422 divided by -7.\nAnswer: 422\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-4 + (-14 - -9) + 12 + -48)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004852349 to five dps.\nAnswer: 0.00485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 - 210 + 665 - 624*m**2 - 236.\nAnswer: -624*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 437228 and 119244?\nAnswer: 1311684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427 (base 10) to base 12.\nAnswer: 2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22*w + 3100. Determine l(142).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/5)*a**(-4)*(a\/(a*a**0))**(3\/32) assuming a is positive.\nAnswer: a**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1098.4*-0.214\nAnswer: 235.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152554*x**5 + 254261*x**2 wrt x?\nAnswer: -9153240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8*(-1 + 9). Suppose -3*q - 3*t + 16 = -11, -21 = q - 5*t. Suppose -q*r = r. Solve 4*g + r*g = -4*o - 20, 0 = 2*o + w*g + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -17*b + 490. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 76*y**3 - y**2 + 1. Suppose -6 = 7*m - 13*m. Let s be r(m). What is the least common multiple of (4\/(-18) - s\/(-18)) + 9 and 7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 2*n - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = 10. Suppose 5*b = -2*v + 28, b + z*b + 3*v = 15. Let m = b + 6. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14264192, 14264196, 14264202, 14264210, 14264220, 14264232?\n\"Answer: i**2 + i + 14264190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:45 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94191.5 + 94191. Let p = 0.099 - 0.1. Which is the third smallest value? (a) 4 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218454 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 3:13 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -168601075.748635?\nAnswer: 168601075.948635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -216, -323?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -s - 107. Suppose 16*d + s = 1845. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 14530617?\nAnswer: -14530622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04735 or 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8b166a (base 12) to base 2\nAnswer: 1000011110010101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 138*m**2 + 244*m wrt m.\nAnswer: -40*m**3 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 2*b**2 + 4*b - 4. Suppose -12*g + 0*g - 42 + 78 = 0. What is q(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 + 6 - (1 - (19 - 24)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*z - 2*b + 23, 0 = -3*z + 2*b + 37. Let x = -10 + z. Let u be (4\/(-8)*0)\/x. Solve -d + u = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 24 = -2*i. Let q be (320\/i)\/(1 - 1064998\/1065000). What is q rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 1 = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43485 divided by -8697?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*j - 17*j**4 + 35*j**4 - 11*j**4 to the form d*j + m*j**2 + w + g*j**3 + s*j**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -11 (c) 52 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 + -220201222?\nAnswer: -220122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 670986\/54*9*1\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -210?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -12*u + 7*u + 5*l, 78 = 45*u + 4*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 7. Suppose f - 3 = 3. Let n be (f\/q)\/(1\/7). What is n rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p**2 - p**2 + 8*p**2 + 1 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278652248.\nAnswer: 2, 3, 23, 59, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -2\/7*p**3 + 0 + 2*p - 2\/35*p**5 - 1\/7*p**2 - 3\/14*p**4. Suppose f(b) = 0. Calculate b.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*(sqrt(117) - (sqrt(117)*-1 - sqrt(117))))\/(6*(sqrt(1296)*-1 - sqrt(1296))) + -5)**2.\nAnswer: 25*sqrt(13)\/6 + 3925\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1884773 and -19165116.\nAnswer: -17280343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 121*v - 95\/2*v**2 + 0*v**3 + 0 - 23\/5*v**5 + 0*v**4. What is the first derivative of x(q) wrt q?\nAnswer: -276*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 98308236.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3479442, 3479509, 3479578, 3479649, 3479722, 3479797, 3479874?\n\"Answer: n**2 + 64*n + 3479377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 + 60 + 621 + 27351*f - 27352*f.\nAnswer: -f + 816","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1448 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**7\/21 - 13*x**5\/5 + x**3 - 48*x. What is the second derivative of o(y) wrt y?\nAnswer: 40*y**3 - 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 - -124. Suppose -m + 7 = -k, -k = 2*m + 2*k - r. Differentiate 10*b - 28*b - 2 + m*b - 8*b with respect to b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*d + 1740 - 1662. Let y(c) be the first derivative of -3*c - 1\/2*c**d - 21 - 4\/3*c**3 - 1\/4*c**4. What is y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6.51, -0.11, 12407?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 118125 and 118130 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973954 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/36 - (-6 + 7). Let q(d) be the first derivative of 2\/9*d**3 - 1\/3*d**2 - 1\/18*d**4 + h*d - 4. Solve q(p) = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -18*v**2 - 15*v - 15. Suppose 67*x + 3 = 81*x + 31. Let k(a) = -a**2 + 0*a**2 + 0*a**2 - a - 1. What is x*b(j) + 30*k(j)?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6*t + 64. Calculate the smallest common multiple of t and 57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.83 - -0.83. What is the second smallest value in 1, -4, -1\/5, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*o**2 - o - 4*o**4 - 8 + 74*o**2 + 5 to f*o**3 + c + x*o + j*o**4 + a*o**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + c - 9*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 + 24\/36. Suppose -r + 15 = 2*v - 19, -5*v + r + 85 = m. Solve v - 3 = -c - 4*k, -17 = c + 5*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 10, -4, 12.\nAnswer: -4, -1, 3, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 4, -6, -1\/3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 90867aa0?\nAnswer: 90867a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 60*y**3 + 414*y**2 - 1188*y + 1215.\nAnswer: 3*(y - 9)*(y - 5)*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -6. Let a(x) = 4*x**2 - x + 4. Suppose 3*d + k - 47 = 0, 6*d - 11*d + 3*k + 55 = 0. Calculate the remainder when a(y) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*p**2*t*z**3 - p**2*t*z - 8113*p**2*z**2 - 4*p*t + 5*p*z**2 - 5*t*z**3 - 9*t - 2173*z**3 wrt z?\nAnswer: -630*p**2*t - 30*t - 13038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -43. Let a = x + -47. Suppose -16 = 6*p - a*p. What is the remainder when 34 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-16 - -31) - -35 - -16.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7828 divided by -14.\nAnswer: -3914\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 19 - 23. Let b(i) = 4*i**2 - 1. What is b(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilivvvi. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4620\/352)\/(-105))\/(5\/(-420))*(-20)\/(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13978627.\nAnswer: 13, 1075279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28264 (b) -5\/6 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3672 and 77724.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = 6. Let s(g) = -52*g + 1. Is s(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7395348, 7395326, 7395290, 7395240, 7395176?\nAnswer: 7395098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 8. Let f be d(0). Solve -3*m + 5*h = 6, 4*m + 0*h - h = -f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -21. Suppose -q*z - 32 = -4*x, 0*x + 5*z + 16 = x. What is the greatest common factor of x and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465951, -465957, -465975, -466011, -466071, -466161, -466287, -466455?\nAnswer: -466671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 1 + 1 + sqrt(6)\/sqrt(3) + 1 + ((sqrt(16)\/(sqrt(8)*1))**2 - ((sqrt(2) - sqrt(72)) + 2)).\nAnswer: 3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 316 + 19 + 140 - 47 in the form t + h*m and give t.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 7*b**2 + 8*b + 4. Let h be t(-8). Suppose l + h*c = 174, 0 = 2*l - 6*l - c + 741. Does 62 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-405)\/(-36))\/(-45)*84?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 + 256*n - 2376. Let r be d(39). Determine m so that 0*m**2 + 1\/5*m**r - 7\/5*m - 6\/5 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547330002.\nAnswer: 2, 3, 151, 389, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16216361 is divided by 16216353.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199\/981 + -139\/327. Let n = 15 + -11. What is the nearest to f in n, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 + 1. Suppose 3*o - 71 - 7 = 0. Suppose 3*j + t = -8, -3*j - o = 5*t + 2. Give w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - 2 - (-15 - -20)) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*d + 35227, -3*d - 21900 = 2*h - 92360. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/30*33\/99.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32695913?\nAnswer: 17, 1923289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 856 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 23*l**2 - 41152*l - 286590. What is m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 15 + 13*r + 21.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 5 = o + 5*g, 0 = -3*o + 2*g + 97. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1802628*y + 8480856 wrt y.\nAnswer: -1802628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/5)\/(6*-7*2\/56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566\/9 + 1*-2?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(119)\/sqrt(7) + 1).\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*y + 3*h - 8, -27 = -13*y - 6*h + 10*h - 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from mppmfmmmpmmmpm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122664 is divided by 166.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(175) + -1 + sqrt(175) + -2)*-5)**2*4.\nAnswer: -6000*sqrt(7) + 70900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5924477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0*b + 10 + 7*b - b**2 - 2*b. Let x be t(7). Let i(p) = -130*p + 1. Is i(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14 - 111*y - 16 + 3*y**2 - y**2 + 73*y. Calculate c(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 33\/2*z**2 - 62*z - 63. Differentiate s(h) with respect to h.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4*(sqrt(11) - (sqrt(11) - sqrt(11)*-1))*3)*-6)**2.\nAnswer: 1728*sqrt(11) + 57168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -32*n - 1. Let j(y) = 32*y + 2. Let r(g) = 5*c(g) + 6*j(g). What is the first derivative of r(k) wrt k?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/32)\/(5\/(6 - -4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2401)*-2)\/(sqrt(21)\/sqrt(3)*6).\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpzpp. Give prob of picking 1 m and 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 51753*d + 557*d**2 + 51753*d + 3.\nAnswer: 557*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) -0.24 (b) 2 (c) 4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and 0.1?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 105, -16, -7, 2, -3 in increasing order.\nAnswer: -16, -7, -3, 0, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 240?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 + 2*v**2 + v**4 + 10 + 5*v**4 + v**3 - 23*v - 9 - 4*v**2 as s*v + o*v**4 + r + a*v**3 + u*v**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/11)*c\/(c\/c**13*c))\/((c\/(c*c\/(c\/c**3))*c)\/(c**(-3)\/c)))**32 assuming c is positive.\nAnswer: c**(3456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*i = -2*a - 88, 3*a = 5*i - 99. Let q = 17 + a. Let b = -14 - q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 + 345 - 345.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u + 33. Let n = 28 + -12. Suppose -3*a - n = 4*m, 4*a = m - 1 + 5. Does 13 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 1341?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7183354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 460110 + 20200?\nAnswer: 510310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 5*r - 5 - 9*r**2 - 4*r**2. Suppose -123 = 13*j + 188 - 77. Let b(c) = 24*c**2 - 18*c + 18. Determine j*t(d) - 5*b(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 242949375 to the power of 1\/2, to the nearest integer?\nAnswer: 15587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29349117*m**4 - 2*m**2 + 749*m - 1446 wrt m?\nAnswer: 704378808*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 303762 divided by -7\nAnswer: -303762\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61923, 61953, 61997, 62055?\n\"Answer: 7*j**2 + 9*j + 61907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -12, 4 in ascending order.\nAnswer: -28, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340 + 18023\/53. Let w = 553\/530 + o. Calculate the common denominator of w and 41\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -47*q**2 + 2. Let u(o) = -3290*o**2 + 141. Determine -141*p(x) + 2*u(x).\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2933 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d = -115. Let t = d - 12. Calculate the remainder when 20 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - y + 7*y + 3*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 37. What is the smallest common multiple of 10 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3\/3 - 64*t**2\/3 + 644*t\/3.\nAnswer: -4*t*(t - 7)*(t + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 3:16 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82473.88 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.3 - -22. Let w = 239 - 943\/4. Sort c, w, 3.\nAnswer: c, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -402*s + 397. Calculate p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22546 (base 7) to base 9\nAnswer: -7817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from tmawsmf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + sqrt(833) - sqrt(833)) + 6*sqrt(833)*3 + (-1*sqrt(833)*-3 - ((sqrt(833) - 1*sqrt(833)) + sqrt(833))*4))**2.\nAnswer: 1428*sqrt(17) + 240773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/353 - 31433\/2824. Calculate the common denominator of 45\/(-36)*156\/(-50) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from {p: 6, c: 3, s: 2, t: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(12\/16) - 2. Suppose 3*q - 3 = 0, -2*d - w*q - 3*q = -27. Let l be (-2952)\/(-99) + 2\/d. What is the highest common factor of 20 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 483*i - 551. Determine c(0).\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 1. Let g(m) = m - 26. Let h be g(27). Let b(n) = 1 + 2 - 3 + h. Let u(l) = 6*b(l) + s(l). Determine u(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1418 (b) 219 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1417338 divided by 1\nAnswer: 1417338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -39*o - 2678. What is u(-18)?\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 47. Let f be (12\/m)\/3 - 126\/120. What is the nearest to f in -3, -2\/71, -4?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 6*l**2 + 6*l - 3. Let w be j(5). Calculate the remainder when ((-72)\/5)\/18 + 79\/5 is divided by (-18)\/w*(-1 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:05 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1582*x**2 + 26*x - 87. Is i(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -i - 59 + 1, 4*b + 120 = -i. Let c = b - -35. Calculate the common denominator of -1\/2 and 381\/c*12\/54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Let d = -4.9 + b. Let x = -0.071 + d. Round x to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (2 + -67 - (313 - 322)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-3*3 - sqrt(171))\/(sqrt(81)*3 - sqrt(81) - sqrt(81)) + 0 + 4 + sqrt(1900) + 0 + sqrt(1900) + (sqrt(1900) + 0 + 2 - sqrt(1900)))**2.\nAnswer: 200*sqrt(19) + 47824\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/148788 and -127\/12?\nAnswer: 148788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*35342314\nAnswer: -17671157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, g: 2, a: 3, s: 6}. What is prob of picking 1 d and 1 a?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7742 is divided by 3493?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 + 8*h. Let l be m(-8). Solve -5*b + 7*b - 8 = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -9*p + 3. Suppose 2*c + 5*z + 40 = 0, -p*c - 2*z - 26 = -3*z. Let o = c - -33. Which is smaller: 22 or o?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7615.949ns?\nAnswer: 7.615949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g\/g**(2\/9)))\/g)*g**(-10)*g)**47\/((g\/(g**(-1)*g))**(4\/13)\/(g*g*g\/g**(-2\/5)*g**(-7))) assuming g is positive.\nAnswer: g**(-200861\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*m - 1740*m**4 - 123 - 4435*m**5 - 75 + 1739*m**4 wrt m?\nAnswer: -88700*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 - l + 123 - 52)*(-9*l**3 + l**3 + 10*l**3) to the form r*l**3 + x + n*l**4 + t*l**2 + a*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -113, -30, 141, 430?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2 = -3*w, -3*w - 1 = 5*b + 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 7. Let u be d(3). Differentiate 1 - 2*n**u + 4 + 6*n**2 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 109*z - 448. What is p(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9619308 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19*x**2 - 405*x - 126. Let d be z(24). Which is smaller: d or 1099?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 34. Let w(t) = 169*t + 3. Let k be w(-2). Let n = -195 - k. Calculate the greatest common divisor of n and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1995894818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-10) + 6\/(-15). Suppose y*i - i - 1586 = 0. Is i\/8 + (-12)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 8*r - 184999985 = 3*r, 2*m - r = 74000003. Suppose -7*b - m = -2*b. What is b rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483330353?\nAnswer: 7, 41, 199, 43481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183.4 - 183.8. Which is the nearest to -1\/3? (a) -2\/3 (b) t (c) 216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 719*m**2\/2 + 2941*m + 2661. Find the first derivative of d(z) wrt z.\nAnswer: 719","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 - (-1 + -7)) + 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110599 = 43*o + 108492 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 324 + -348. Let j be 19*(-2 + m\/(-6)). Calculate the greatest common divisor of 190 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, h: 10}. Give prob of picking 4 u.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1.6 (c) -1\/10 (d) -2\/15 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -700.9 - -700.5. What is the second biggest value in j, 4704, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33451510.\nAnswer: 2, 5, 569, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/441 + (-232)\/882.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 1169.97652?\nAnswer: 1169.97652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*a + 2*g - 7, 4*g = 5*a - 86. Let c = a + -15. Is c smaller than 19\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101395013*p**4 - 20828*p + 357 wrt p.\nAnswer: -1216740156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k. Let h(z) = 9*z. Give d(h(j)).\nAnswer: -90*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5378*v - 1694069. Give k(-315).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.00000117 - -12. What is z rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73850080 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*m = 77 - 47, -2*t = 3*m + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*1*(((-2 + sqrt(1300) + sqrt(1300))*-3)**2 + -3 + (-1 + sqrt(1053))**2) + -1.\nAnswer: -2952*sqrt(13) + 191547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11248 to 3 dps.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11772, 43.6, -2\/13 in decreasing order.\nAnswer: 11772, 43.6, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292861 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027061 to 7 dps.\nAnswer: -0.0000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:43 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62.017 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 + (-170)\/(-15))\/(2*(-3)\/18). Let h = 0.022 + -3.022. Which is the closest to 2\/21? (a) 5 (b) h (c) f (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from qyacqqyqccycyycycn.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16*g**2 - 27*g - 36. Let j be n(7). Calculate the highest common factor of j and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170.985 + 170. Let m = 0.4034 + d. Let o = m + 0.0226. Round o to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13546.7 micrometers in kilometers?\nAnswer: 0.0000135467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/1027 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 15*p + 30. Let d be v(-4). What is the first derivative of -162 + 227 - 12*h**4 + 36*h**2 - 41*h**d wrt h?\nAnswer: -48*h**3 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/697 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*a**3 - 676*a**2 + 428*a - 24 = 0. What is a?\nAnswer: -2, 1\/16, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -906*y - 1674*y - 43132*y**2 + 38675*y**2 wrt y.\nAnswer: -8914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65399\/54 + -1211. Calculate the common denominator of -49\/20 and v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 50.53292kg?\nAnswer: 50532920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let v(n) = -10*n. Let w be v(d). Let l = 4 + 0. Calculate the greatest common divisor of l and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 4*p**2 + p - 1. Let h be y(4). Factor -2*q**2 - q**3 + q**h - q**3 + q**2.\nAnswer: -q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 2*h - 6. Let o(v) = -7*v**2 + 4*v - 11. Calculate -7*c(y) + 4*o(y).\nAnswer: -7*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 62. Let w be d(27). Let f(z) = -z**2 + 7*z + 8. Let x be f(7). Suppose -x*i + w = -13*i. Is -6 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64590430 and 25836172?\nAnswer: 129180860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/6 and (-2)\/304*(-5280)\/280.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven halves of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2)*(4 - 9 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 - 2*q + 3. Let z be s(-15). Let j = 2573 + z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by -3.\nAnswer: 152\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -7)*(0 - -6). Let r(q) = q**2 - 5*q - 4. Let a be r(s). Let g be a*(-2)\/42*-3. Sort 0.14, g, 5\/3 in decreasing order.\nAnswer: 5\/3, g, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m**2 - m. Let y(c) = -4*c**3 + 8*c**2 - 6*c - 1. Let k(p) = -6*o(p) + y(p). Let j be k(1). Does 3 divide 12\/(-1)*j\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8898 - -9337.1. Round o to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/48*-1*15. Suppose x + i + 3 = 0, 5*x - 3*i - w = -36. Let n(d) = -d**3 - 4*d**2 + 2*d + 5. Let j be n(-4). Put j, 1, x in descending order.\nAnswer: 1, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:08 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.4, 2\/5, -2, 38, 421?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 4:15 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58754?\nAnswer: 2, 29, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-230)*(-5)\/(-13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/6937 - 119803\/83244. Let z = 1666 - 23297\/14. Find the common denominator of q and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8142\/61065*(-4)\/((-64)\/210)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/6)\/((-54)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 5*f**2 + 7*f + 11. Let n be u(-6). What is the third derivative of 5*v**2 - 2*v**3 + 2*v**3 + 18*v**n - 25*v**5 wrt v?\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.05321\nAnswer: -0.05321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -0. Suppose -c = 2*c + 5*j - 64, 54 = g*c + 3*j. Solve -4*m - 7 - c = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89878421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*p, 2*u + p - 6 = -p. Let f(c) = -c**3 + 4*c**2 - c + 2. Let b be f(4). Let o = b + u. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500224.7l to millilitres.\nAnswer: 500224700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let z be 3*((-1 - v) + -1). Let l = 0 + z. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4773*c - 4770*c - 123 = 4665. Which is greater: c or 1589?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)\/r*r\/(r*r**(1\/2)*r)*r*r)\/(r**6\/(r\/(r\/r**(2\/13)))))\/((r*r*r\/(r*r**(1\/23)*r))\/(r\/(r*r**(-3))))**23 assuming r is positive.\nAnswer: r**(2101\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25530, 25555, 25580, 25605, 25630?\nAnswer: 25655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131 - 4?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from jjjkjjjkkjjjjjkk?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0772*73\nAnswer: -5.6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(9\/(-5))*(-138)\/3565.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 241.87 + 1263798891\nAnswer: 1263799132.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 2*u + (0*u + 3*u + 0*u)*(0 + 1 + 1))*(7*u**2 - 2*u**2 - 12*u**2).\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 15, 5*m + 667*i - 664*i + 40 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*d - 19035 = 65*d + 32*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47630 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -21. Which is the closest to -1? (a) k (b) -2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3 (base 12) to base 13.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70242 is divided by 35119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*z + 8*z + 12, 4*f - 30 = -5*z. Let h(p) = -p**2 + 5*p - 1. Determine h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/4)\/1*-3. Does 25 divide b*((-148)\/6 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45709\/2 not equal to -22855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4818*j**3 - 2488*j**3 + 1 + 7312*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - b - 460 = 0, 3*w - 3*b - 92 = 2*w. Let z = w + -61. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23322 (base 4) to base 8\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 30189?\nAnswer: 1\/30189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3027 is divided by 604.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3096014 is divided by 337?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 911302753 a multiple of 1426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228196 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14133, -28264, -42395?\nAnswer: -56526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 10557?\nAnswer: 10557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/96)\/(3\/(-48)). Let x(y) = y + 8. Let w(g) = g + 9. Determine j*w(n) + 3*x(n).\nAnswer: -n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**3 + 823*k**2 + 938*k - 143. Calculate y(104).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31\/53868?\nAnswer: 31\/53868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144120*c**3 + 3*c**2 - 181*c + 190599508.\nAnswer: 432360*c**2 + 6*c - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/((-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49232769.\nAnswer: 3, 167, 98269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63*a*s*v + 3*a*v - 24*a + 3*s*v + 2*s + 8*v - 6 wrt s?\nAnswer: -63*a*v + 3*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwsjwjs. Give prob of picking 1 s and 1 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*10*(-5 + 54\/12). Suppose 4*w + 28 = 4*f - w, d*f - 4*w = 26. Solve 5*h - 4*h = f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 970 = -5*b, 4*k - 27*b = -24*b + 3812. What is the greatest common divisor of 150 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-15)*293\/3809.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/6 - 11\/(-2). Suppose -i = -2*h - m, -2*i + 9 = i - 3*h. Put 5, 0, i in descending order.\nAnswer: 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 39\/776801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 - (-22)\/4. Let s = l - 15. List the prime factors of 1\/((-1)\/s + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2834 by 109.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 13917\/(-2))*448\/(-280). Suppose -v = -4*c + 4*q, -c - 3*q = 4*c - 13931. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11 = l, 3*l = -2*l + c + 29. Suppose l*r - 3*r = 390192. Suppose -2*p = r - 13995096. Round p to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 6*f**2 - 211866*f + 423723. Determine g(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 186 = 3*m - 54, 140 = 2*m + 3*h. Let t(w) = -w**2 - 7*w + 148. Let p be t(-16). Suppose p*d + m - 1020 = 0. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26*v**2 + 1667*v - 26691. Determine y(32).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2844281, 2844270, 2844259, 2844248, 2844237, 2844226?\n\"Answer: -11*k + 2844292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 4*u - 4*o + 72, 0 = -2*u - 72*o - 72 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/7 + 6\/(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/27))**(-16\/9) assuming o is positive.\nAnswer: o**(-416\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 50347935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 163*g**3 - g**2 - 2*g + 3. Let c be (36\/4)\/3 - 1. Let f be o(c). Let z = -832 + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/18720 and -71\/102960.\nAnswer: 205920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, g: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*b + 16, 1 + 14 = 5*s. Suppose n + a - 131 = 0, 0 = 3*n - 0*a - b*a - 409. What is the remainder when n is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 504295003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52.5 and 0.148606?\nAnswer: 52.648606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132139 and 301.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 14\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66.96 + 60. What is l rounded to 1 decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 minus -257.438?\nAnswer: 257.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((7 - -2) + 9) - (-1 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = 5*j. Let t be -5*j\/((-30)\/(-16)). Let l be t\/14*(0 + (-2)\/4). Which is smaller: -2\/9 or l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1 + (-462)\/44\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 2534?\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 331755701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 73 = -4*w, -75 = 6*y - 11*y + 5*w. Solve 3*d + y = -2*f, 4*d - 2*d = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -5\/16 (c) 0 (d) 3\/8 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75872*j**3 + 125842 wrt j.\nAnswer: 227616*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -570 - -900. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 375*z + 2283. Let g be i(12). What is the highest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 34*l + 110. Let p be i(7). Let k(b) be the first derivative of -50*b**4 + 20\/3*b**3 + 2 - 135\/2*b**6 + 0*b**2 + p*b**5 + 0*b. Factor k(u).\nAnswer: -5*u**2*(u - 1)*(9*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/4 and -37\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b**2 - 4*b + 12. Let a(l) = 11*l**2 + 3*l - 10. Calculate -4*a(x) - 3*m(x).\nAnswer: -14*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t**3 - 2*t**2 + 5*t - 6. Let z be s(2). Let i = z - 9. What are the prime factors of i?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/19)\/((-6987)\/88502)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -23. Let q be 1 - (-2 - (p + -2)). Suppose 4*w - 348 = -q*w. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1408 divide 1033945088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(65) + sqrt(65)*-3 + sqrt(65) + sqrt(65)) - sqrt(65))\/(sqrt(720) - 3*sqrt(720)).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - q - 1. Let k be o(-1). Let i(p) = 5*p**2 + 2*p - 3. Calculate the remainder when i(k) is divided by ((-152)\/988)\/(2\/(-130)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7623937779127 - 41.\nAnswer: -7623937779168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 2*i**2 - 10*i - 10. Let x be v(5). Suppose -x*r = -2*r - 39. Let y be -3*r\/(-63)*-9. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38e103 (base 16) to base 5.\nAnswer: 1423240434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**6\/40 - d**5\/60 - d**2 - 5*d. Let k(i) be the first derivative of c(i). What is the units digit of k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/2225 and 17\/5.\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*z**4 + 274*z + 192916 wrt z?\nAnswer: 12*z**3 + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 142348 = -8200. List the prime factors of o.\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let i(c) = -2*c. Let z(w) = -i(w) - 3*x(w). Let v(m) = 3*m. Give z(v(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 2842 - 8890 = -46*n - 22*n for n.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-1 - (-43)\/15). Let v = 4.9 + -0.9. Which is the closest to -0.1? (a) -0.1 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*i + 374 - 8390 = -110*i + 530*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.01, 1, 0.09, 491, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 341 divided by 31\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 71.\nAnswer: -35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - 2*h**5 + h**2 + (-h + h + h**2)*(h**3 - 2*h**3 + 2*h**3) - 3*h**5 + 7*h**5 + h**5.\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*u + 4*u - 5, -2*u - 3*q + 31 = 0. Suppose -133*r = -22*r + 24*r - 405. Solve r*k - 8*k + u = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 43 - 11. What is the third smallest value in 2, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 + 63. Suppose 3*f = 3*m + 129, 188*m = 186*m + 6. What is the remainder when z is divided by f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 5\/12*g**4 + 0 + 0*g - 14*g**2 + 1\/20*g**5 - 13\/6*g**3. Let u(z) = 5*z + z**2 + 0*z**2 - 4 - 2*z. What is 2*o(b) - 7*u(b)?\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 a factor of 18368658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*-2*3. Suppose -2*j = -115 + l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 31 = -2*k, -3*i - 73 = -k - 99 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - -3895234?\nAnswer: 3895199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 - 56*v + 56. Let a(r) = 26*r**2 + 280*r - 300. Let k(m) = 2*a(m) + 11*b(m). Give k(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 6, 0.362, 7.\nAnswer: -1\/2, 0.362, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 16 - (46 + -4 + (0 - -2 - 0))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*c - 35*c - 35*c - 33*c + 114*c - 25*c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*b**2 + 2*b**2 - 2 - 70*b**2 + 4*b**2.\nAnswer: 41*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**3 + 3*t**2 - t - 4. Let m(v) = -15*v**3 + 7*v**2 - 2*v - 9. Calculate -4*m(o) + 9*z(o).\nAnswer: -3*o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912\/8*117\/(-702).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -24. Let o(z) = 5 - 20*z + 0 + z**2 + 14*z - 1. Let i be o(6). Solve 4*c = i*g - 32, 3*c = 5*g - t + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-3*w - 4*w + 5*w) - 2*w + 2*w - 6*w + 2.\nAnswer: -8*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -36, -4, -17 in increasing order.\nAnswer: -36, -17, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 880 = -4*x. Suppose -3*d + 143 = -x. Suppose 4*o = 2*o - 3*b + d, -o = -4*b - 33. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (435 - 9)*3\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/8*(-16)\/6. Let o(z) = -4*z**2 + 0*z**2 + 3*z + z**2. Let m(p) = -16*p**2 + 16*p. Let l(g) = k*m(g) - 22*o(g). Suppose l(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 2 - 6*d**2 - 5*d + 5*d**2)*(11 - 11 - 2*d).\nAnswer: 2*d**3 + 10*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 1, u: 2, j: 1, v: 1, h: 1}. Give prob of sequence iu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*w + 13 = 0, -2*k - 21 = 2*k + 5*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109\/372 - -5\/124. Solve 2\/3*w**2 + 0 + 0*w**3 + 1\/3*w - 2\/3*w**4 - v*w**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehheeeeeeee. Give prob of picking 1 h and 2 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621690?\nAnswer: 2, 5, 7, 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1235*m**2 - 1245 + 2106769*m - 2106769*m - 1481 wrt m.\nAnswer: 2470*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108\/7 - -457\/70. Calculate the common denominator of u and -39\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5064009 milligrams?\nAnswer: 506.4009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2281*23.6.\nAnswer: 5.38316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2751*x**2 + 9*x - 8. Let u be s(1). What is u rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 25 + 29 + 101*y)*(-4 + 3 + 3).\nAnswer: 202*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 398.\nAnswer: 437.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = s - 4*s. Let x = -17 + s. Let d(z) = z**2 + 4*z + 1. Let f be d(x). What is the greatest common divisor of f and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-276)*23 + (1 - 1) + 37924. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/12315?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1825*i + 31022. Determine n(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*m - 6687 - 35759. Let s be (-3)\/(0 - -1) - -2740. Let y = m - s. Round y to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/12490 and -23\/60?\nAnswer: 74940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/(25\/120)*(-210)\/(-49)*14?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000459317 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-7)*(-7)\/((-2)\/2). Suppose g*d - 1099 = 5*j + 696, 3*d + 5*j - 1390 = 0. Calculate the highest common factor of d and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g - g)*((-2 - 2 + 7)*(2 - 3 + 2) + 69 + 0 + 0) in the form w + j*g and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/52192 and 71\/224706.\nAnswer: 5863927776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u - 1. Let a(q) = 5*q**2 + 13*q + 15. Suppose -6*h - 3*z = -2*h + 13, -3*z = -2*h - 11. Let y(c) = h*f(c) + a(c). Is 15 a factor of y(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*o**3*z - 16*l*o**3 + 20*l*o**2 + 11*l*o*z + l*o - l*z - 15*o*z wrt o?\nAnswer: 6*l*o*z - 96*l*o + 40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33422 + 3.950924?\nAnswer: 4.285144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 22*c - 34. What is y(22)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*i + 3, 1 - 2 = 3*i - 2*r. Let x = -8 - -5. Let d(a) = -5*a**2. Let z(t) = t**2. Let w(k) = i*d(k) + x*z(k). Let n(h) = 13*h. Calculate n(w(j)).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 847722119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -869 take away 1.0504?\nAnswer: -870.0504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:05 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860422 divided by -2.\nAnswer: -430211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 2 + 0*y**2 - 2. Let j(s) = -27*s. What is j(c(a))?\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.35, 2\/9, 5, -0.4 in descending order.\nAnswer: 5, 0.35, 2\/9, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(sqrt(99)*-1 - sqrt(99)))\/(-3*sqrt(144) + 2*sqrt(144)).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605657 and 57317.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -29. Let i = -5 + 10. Which is the closest to 1? (a) 0.2 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 58*t - 531. Let m(u) = -u**2 - 13*u - 29. What is the remainder when m(-6) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 u when three letters picked without replacement from fdkuudqgg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o - 3 - 7*o - 2*o**3 + o**3 + 8*o**2 - 9*o. Let u(q) = 2*q**3 - 17*q**2 + 11*q + 6. Let x(m) = 7*f(m) + 3*u(m). Determine x(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 4, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*4*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33115 + 32*z**3 + 66228 - 33113.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.211 and -2.284.\nAnswer: -2.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8013?\nAnswer: 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 104*t + 53*t - 2112. Calculate the remainder when 12\/20 - (-614)\/10 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -470*d**2*g**2 + 726*d**2*g + 10*d**2 - 32712*d*g**2 + 1337*g wrt g.\nAnswer: -940*d**2 - 65424*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(6050) + sqrt(50))**2*3 + 0.\nAnswer: -360*sqrt(2) + 21603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 j when three letters picked without replacement from {j: 1, r: 1, v: 4, n: 7, d: 5, w: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 14. Suppose 5*p = 3*p. Let r be (0 - 0) + (p - -8). Suppose 2*t + 4*u = r, 5*t = t - 3*u + 36. Calculate l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24091871689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -252. Suppose -b - i = -3*b. Is (0 - 1)\/((-1)\/b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18568*-30.\nAnswer: 557040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -619 <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -61383630. Let b = f + 38108185. Round b to the nearest one million.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*-4*sqrt(26))\/(-5*sqrt(2)*6).\nAnswer: -4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 22*m + 93. Let d be t(-17). Solve b = -d*b + 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 1, 3\/2, 0.4, -3\/7, 0.8, 33.95?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 35*o**2 + 61*o - 178. Give g(-33).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5057 + 5056. Which is the closest to 9\/4? (a) 14 (b) 0.2 (c) x (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**3 - 18*w**2 + 208*w + 9. What are the prime factors of c(13)?\nAnswer: 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:52 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190396142 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (4 - 2) - (-9 - -3 - 2) - -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 96515277?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -99 (b) 22\/31 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2.48 (b) 1\/9 (c) 0.1 (d) -0.089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -7, 3, -22\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.69 - 0.31. What is the nearest to -0.1 in 0.3, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36614286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 6 - 1)*2\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14044370 (base 9) in base 8?\nAnswer: 32357127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3338 = 27*p - 25*p, -4*p = j - 1108. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1037994 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -50655.62.\nAnswer: -455900.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1582 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*x - 17*x - 23044. Let a = x + -818. Suppose g = 1, k + 10 = -3*k + 2*g. Put -5, a, k, -1 in increasing order.\nAnswer: -5, k, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41\/4*h**2 - 20 + 19\/2*h + 1\/4*h**3.\nAnswer: (h - 1)*(h + 2)*(h + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 10. Let f be (1\/(-4) - 0)*v. Put f, 7, -1 in increasing order.\nAnswer: -1, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204360.3 years to centuries.\nAnswer: 2043.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oopo when four letters picked without replacement from {p: 4, o: 3, j: 4, e: 8}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 11. Is 16 a factor of t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483889549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 26486\/10 - -1. Let u = t + 2658. Find the common denominator of u and 879\/135 + (-6)\/(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/288 and 49\/1497.\nAnswer: 143712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39959?\nAnswer: 31, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(sqrt(75)\/(sqrt(20)\/sqrt(4)) - sqrt(15) - sqrt(1815)*-3)\/(sqrt(48)\/sqrt(4) + sqrt(3) - (sqrt(75) - 2*sqrt(75) - sqrt(75))).\nAnswer: 66*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 0, -5*g + 2*g + 7 = -i. Let k(h) = -6*h - 4*h**2 - 399*h**3 + 2*h - g - 2*h + 8. Let u be k(5). Round u to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 3*m)*(-11 - 5*m + 11) + (-2 + 4 - 1)*(25 - 25 - 55*m**2).\nAnswer: -65*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.3 (c) -1\/8 (d) -1429 (e) -4 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 31. Solve o = 2*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 9*r**2 + 23*r - 112. Give d(9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 457*n + 2*n**2 - 10*n**4 - 445*n + 2*n**3 + 4*n**2 wrt n?\nAnswer: -240*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 2*y - z, 4*y + 4*z = -12. Which is the nearest to -0.09? (a) y (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.398 nanograms in micrograms?\nAnswer: 0.508398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23625857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/7)\/(((h**(2\/87)\/h)\/h)\/h))**(-2\/27))**(-37))**(-6\/25) assuming h is positive.\nAnswer: h**(-242572\/137025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 54 = 3*g, 0*k + 2*g = 4*k - 68. Is (-400)\/(-18) + k\/(-72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - 113141454?\nAnswer: -113141540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*-31864.9\nAnswer: 95594.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000985561 to five dps.\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -517, -3, 2, 4, 5 in ascending order.\nAnswer: -517, -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x - 12. Give n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o + f - 468, -4*f - 234 = -o. Calculate the lowest common multiple of 130 and o.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 24*x**2 + x - 62. Give q(-24).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 5.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 2*v + 2*v)*(-1 + 1 - 2)*(-8 + 7 + 5).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 84 + -79 - (-1 - -25 - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -229 - -485\/2. Let q = -13 + t. Let p = 1.5 - 13.5. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-60)*(4 + -1 + -6). Sort 0.4, g, -1043 in increasing order.\nAnswer: -1043, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8)*(-6)\/(-125)*-5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 254, 439, 746, 1211?\nAnswer: 1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002188565549 rounded to seven decimal places?\nAnswer: -0.0021886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 11343980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.13 (c) 20 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 6*p + 1. Let t be f(9). Let k = t + 63. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**42*(t**(2\/9))**17 assuming t is positive.\nAnswer: t**(-155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 3111070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 16948*u\/3 + 71808676\/3.\nAnswer: (u + 8474)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8040178*p = -8040143*p + 175 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let b(f) = 96*f**2 + 0 - 9 + 9. Calculate h(b(s)).\nAnswer: 18432*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 554704.\nAnswer: 3\/69338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -10*s + 5*s - 5*q, s - 27*q + 13*q = 54 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628683 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 9. Let n be w(6). Let v be n\/5 - (0 + -1). Let z be 100\/120 + (-5)\/6. Is v > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 + c - 434. Let i(o) = 5*o**2 - o + 435. Let t(k) = -4*d(k) - 3*i(k). Is t(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 374 + 6*d**2 + 2*d - 744 + 5*d**3 + 367 + 3*d**3 to the form a + m*d**2 + h*d**3 + f*d and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -2*h. Suppose 2*b - 6 + 16 = -4*m, -11 = -2*b + 3*m. Let v(r) = b - h + r. Let n(u) = -4*u**2. Calculate v(n(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/5 + (-14)\/35. Let t be 4 - (l + -5 - -14). Let n = t + 13. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 15 - 2*c + 6*c. What is the remainder when q(-24) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77802683 minus -1?\nAnswer: -77802682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = o + 704, -4*h - 4*o + 511 = -57. Let m = 87 - h. Let i = -14 - m. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.7 (c) -2\/3 (d) -14 (e) 3\/394 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/(-18))\/5)\/5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from xxxbfmdxxfddx?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 7 + 3)*(6 + 3*z**2 - 6) to h + k*z**2 + y*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67958073?\nAnswer: 3, 139, 54323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619 = 2*o + 11*r - 16*r, 0 = 15*o - 2*r + 4465. Which is smaller: -307 or o?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 28. Let g = 7 - d. Solve -12 = -3*q + q - g*n, -5*n = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050 is divided by 409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1846860 by -92343.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 981, -1, -308, -5 in descending order.\nAnswer: 981, -1, -5, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 38 - 40 = 0. Suppose -z*l + 1067056 = -200944. What is l rounded to the nearest 10000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 0*u + 4*u. Let g(k) = 38395 - 38395 + k. Calculate 6*g(n) - 2*q(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -3)\/((-3)\/(-159)). Suppose 0 = -3*p + 5*v + 189, -5*v + w = -0*p + 3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 151 = 18*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3470 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.366227 - -3.3481. Round l to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 627?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 14*r - 366 = 0. Let g = -39 + r. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262410850 divided by 10092725?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 + 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 - 2*p**2)*(6*p**3 - 2*p**3 - 3*p**3) + (2 - 1 + 1)*(p**5 - 2*p**5 + 3*p**5) - 4*p**5 + 2*p**5 + 4*p**5.\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*f = 9, 3*f + 2*f = 15. Suppose -r = -i + 4*i. Let s(y) = 2*y + 5. Let d be s(-4). Is d bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3066.079235 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0*w + 0*w)*(-20 + 8 - 2*w + 10 + 4*w**2).\nAnswer: -8*w**4 + 4*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18378, -36756, -55134, -73512, -91890?\nAnswer: -110268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 173499986 - 173499986. Let l(v) be the third derivative of 37*v**5\/60 - v**2. What is u(l(a))?\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (57\/9)\/((-3)\/(-9)). Suppose -4*c = 5*q - 342 - 406, -c - 3 = 0. What is the highest common factor of p and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165*l**2 + 121?\nAnswer: 330*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 128*y + 4578\/5.\nAnswer: -2*(y - 7)*(y + 327)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = 8*a + 224. Suppose 6*z - 184 = -a. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*l - 53*l - 57*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34150 is divided by 657.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2852027 is divided by 270.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374774, -749700, -1124628, -1499558, -1874490, -2249424?\nAnswer: -2624360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-20)\/(-2) + -3. Put 0, 7, s in decreasing order.\nAnswer: 7, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1)*-1)\/(19\/114)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 983184, 983156, 983128, 983100?\nAnswer: 983072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/1*(-2)\/(-5). Let j be 308\/12 + f\/6. Let w = j + -14. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - -54) + -1 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 4)*3 + -1. Let r(c) be the first derivative of m + 3*c - 1\/2*c**2. Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-84)\/(-18) + -4 + 2\/(-6). Let h be ((-6)\/9)\/(-2)*9. Suppose 0 = 3*n - 2*n + 5*b - 1, h*b = -5*n + 5. What is the second smallest value in -1\/4, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -34*y**3 + 2*y**2 - 2*y - 4. Calculate v(-2).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/88*13\/((-3861)\/24)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6517, -26153, -58909, -104785?\n\"Answer: -6560*q**2 + 44*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1139\/18 - 241\/9. Let k = -1534\/7 - -218. Calculate the common denominator of k and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i + 8 = 0. Suppose 0 = i*r - 63 - 17. Suppose 2*s - s - r = 0. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*z - 79 - 84 + 163 in the form r*z + v and give r.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/21 - (-201)\/21*11. Suppose -5*m = 5*t - 595, 5*m + 44 + z = t. What is the greatest common factor of t and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 2 + 23 = 0. Let b be ((-1)\/(-1))\/(8\/16). Suppose -b*u - 13 = -19. Solve 0 = -l + u*l + 3*q - 5, -h*q = -2*l - 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 310*y**2\/13 + 274052*y\/13 + 816 = 0.\nAnswer: -884, -6\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 14182783?\nAnswer: -1418278.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81921 and 18.\nAnswer: 491526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + z + 13. Calculate c(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:48 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.22829 minutes to nanoseconds.\nAnswer: 3673697400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -1, -490 in descending order.\nAnswer: 89, -1, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, q: 4, a: 2, g: 7}. Give prob of sequence kgg.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:46 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + f**2 + 1 - f + 3 - 2*f**2. Let l be a(10). Let p = 64 - l. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257366.\nAnswer: 2, 128683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1007 + -1006.6. Which is the nearest to -0.1? (a) 0.005 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17*m - 7. Let s(w) = -8*w - 3. Let c(l) = -l**3 + 25*l**2 + 22*l - 8. Let q be c(26). Let n = q - -118. Give n*f(u) - 13*s(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -562 + 645. Solve 11 = -18*l + x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 37. Let h(u) = 12447783 - 12447783 + 2*u**2. Give h(w(l)).\nAnswer: 8*l**2 - 296*l + 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from ivd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -425 - -449. Suppose -5*s - q = -p - 12, s = -2*q + 9. Solve 6*o - 1 + s = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.1. Let g = l - -0.2. Let t = g + 0.2. What is the third biggest value in t, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1550*j**4*r - 384*j**2*r - 3*j + 256144076*r wrt j?\nAnswer: -6200*j**3*r - 768*j*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(4971*l + 1718*l + 986*l).\nAnswer: 15350*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 15*h**3 + 189 - 186.\nAnswer: 13*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 - 54\/(-4). Let k = g - 12. Suppose k*b - 3*b + 8 = 0. What is the remainder when 31 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 10*w**2 + 11*w + 11. Let q be (-33)\/1*3\/(-9). Let o be r(q). Suppose -3*u = -o - 4. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/(-3))\/(6\/18). Let s = l + 46. What is the greatest common divisor of 92 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, -24, -76, -140, -210, -280?\n\"Answer: n**3 - 15*n**2 + 4*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/40 - 7*x**5\/12 - x**4\/3 - x**3\/6 + 9*x**2 - 5. Is w(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 + 1548*j**2 - 73464*j + 140768 = 0. Calculate j.\nAnswer: 2, 53, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 11*f - 207583. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906898644 to the power of 1\/2, to the nearest integer?\nAnswer: 30115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 8*v - 5. Determine k(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13800 and 240.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*z + 122*z = -75*z - 4088 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 224 times 48818\nAnswer: 10935232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.17 + -15. Let q = h + -0.47. Which is the nearest to -9? (a) 5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1073*r - 657*r + 1664 = 0. Let i(u) be the second derivative of -2*u**3\/3 + u**2 + 2*u. Determine i(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133223312 (base 4) to base 3\nAnswer: -201220121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2211 - 2165 - -2*22\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -67, -68, -83, -118, -179?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -271 + 0?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -6*(-15)\/(-6). Let o be k\/4 + (-2)\/(-4). Find the third derivative of 11*g**4 - 9*g**4 + g - o*g**2 - g wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -173? (a) 0.07 (b) -4 (c) -2\/13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (846\/376)\/(-2 + (-37)\/(-20)) + -48?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 159*o - 192*o - 375*o - 227*o to the form z*o + t and give z.\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-105))\/(((2\/7)\/1)\/(258\/129))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + -4 + -18 + 4 + -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -ae5c (base 16) in base 15?\nAnswer: -d35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(165))\/sqrt(5))\/(((sqrt(72)\/sqrt(6)*4 - sqrt(12)) + sqrt(12))\/sqrt(4))*-2.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -9. Let n = 29 + -6. What is the remainder when n is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ouuougooooguo.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g + g. Suppose 8 = 4*q + 28. Let f(k) = -k**3 - 5*k**2 + k + 7. Let m be f(q). Is g greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*r + 5 - 10 + 5 to the form w*r + j and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7258317 and 1035?\nAnswer: 108874755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**4*k - 4*d**4 + 3*d**3*k - 27*d*k - d wrt d?\nAnswer: 72*d**2*k - 48*d**2 + 18*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 2 - (727 - 718)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1820, 1783, 1638, 1331, 808?\n\"Answer: -9*y**3 + 26*y + 1803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 less than 5.28877573?\nAnswer: 5.64877573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -44860 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 576 - 559. Which is the closest to k? (a) -2\/7 (b) -2 (c) -2\/9 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 11. Let d be n(-7). Suppose 0 = -d*t + 51 + 69. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6066 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-252)\/(-30))\/(5\/400). Calculate the greatest common factor of 1092 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let g(r) = -6*r - 2. Let n(l) = -6*l - 3. Let j(y) = 3*g(y) - 2*n(y). What is q(j(a))?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/6, -12\/7, 6\/11, 337, 15 in descending order.\nAnswer: 337, 15, 6\/11, -1\/6, -12\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001332.\nAnswer: 2, 167, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7340824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*w = -269*w + 60 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 + 7*g**3\/6 - 2*g**2\/3.\nAnswer: -g**2*(g - 1)*(3*g - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 - 90. Suppose x - 15 = 6*x, -3*p - 2*x = -351. Suppose p - r = 2*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(175) + -3*sqrt(175) + sqrt(175) - 4*-2*sqrt(175)) + -4 + (2 + sqrt(1008) + -1)*4)**2.\nAnswer: 166*sqrt(7) + 48224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Multiply -6 and -168.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103071399?\nAnswer: 3, 3643, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from vcyvyyywvvyywvwyyw?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 55445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 33*s = 1130. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Let n(u) = -2*u + 11. Let w be n(8). Let i = 8 + w. Calculate the lowest common multiple of i and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5729*h - 6*h**3 - 5729*h.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a day in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3839, 13434, 29425, 51812, 80595?\n\"Answer: 3198*b**2 + b + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.81 - -0.5. Let h = w + 0.41. Which is bigger: h or -2.6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-17)*m)\/m)\/(m\/(m**16*m)*m))\/(m\/m**(-6))**(-18\/13) assuming m is positive.\nAnswer: m**(100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 6 (b) -1.7 (c) 2\/11 (d) 29 (e) -1\/2 (f) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 5*u + 8. Let r be a(-6). Let n be (r - (2 - 0)) + 0. Is (n + -2)\/((-12)\/954) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106908 is divided by 100608?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/4 - 5*z**3\/3 + 5*z**2 - 7*z - 1184. Calculate n(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116610 and 9?\nAnswer: 349830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-63)\/(-45))\/((-2)\/(-10)). Let p(h) = h**2 + 5 + h + 2*h**2 - o. Calculate the remainder when p(-4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6069 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**3 + 22*d**2 - 6*d + 9. Let f(w) = -3*w**3 + 8*w**2 - 2*w + 3. Let u(l) = -11*f(l) + 4*j(l). What is u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -166, -4, -28 in ascending order.\nAnswer: -166, -28, -4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 3\/35*v**7 - 13*v**2 + 0*v**5 + 0*v**3 + 0 + 13\/12*v**4 + 0*v**6 + 0*v. What is the second derivative of y(c) wrt c?\nAnswer: 216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 - 3)*(5 - 5 - 2*i**2) - i**2 + 3*i**2 + 0*i**2)*(6*i**2 - 6*i**2 - 5*i**3).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 3*c + 27, -3*b - 13 = 5*c. Let w be -2 + b + -1 + 3. What is the highest common divisor of w and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428366527 to the nearest integer?\nAnswer: 20697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6718009742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221201222121 (base 3) in base 15?\nAnswer: 2b7797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -594222, -1188430, -1782638, -2376846?\n\"Answer: -594208*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvevnnve. What is prob of sequence en?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 22332?\nAnswer: 22311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 - 800 = -7*l. What is the least common multiple of 43 and l?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*r + o = 1276*r - 24, 0 = 4*r + o - 61 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 14 = m, -3*m + 3*v - v + 42 = 0. Let a = 20 - m. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105813.\nAnswer: 3, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 209.1.\nAnswer: 14.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Suppose 5*r - n + 1 = -2*n, 3*r = 2*n + 2. What is the smallest value in r, 2, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -245*r**5 - 22435*r**4 - 277395*r**3 + 11453075*r**2 - 21983000*r + 10830000 = 0.\nAnswer: -380\/7, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2908300858 and -0.4?\nAnswer: 2908300857.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*g - 6*g + 72, 25*h - 27*h + 5*g - 71 = 0 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*d + 28, 54*d - 59*d - 3*n = -39 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by (-6 + 1)\/(3\/(-9))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8051055 rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + sqrt(121)*2)*-2 - (-2*sqrt(121)*2 - sqrt(121)))\/(-6*sqrt(22)\/sqrt(2)*-4).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**5 - 154763*g**3 + 70*g**2 - 122041*g - 466.\nAnswer: -100*g**3 - 928578*g + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/4 - 210\/4*1160\/(-174). Is 355 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/71809 + 6678193\/1579798. Calculate the common denominator of v and 3 - 1 - 175\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33100967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2 - 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1717*j + 1941*j + 3 = 3. Solve -6*q + 5*q + 3*v + 5 = j, -5*v + 20 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2244*i - 2*i**2 + 14128*i + 4995 - 4995.\nAnswer: -2*i**2 + 16372*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -0.7, -1.73 in decreasing order.\nAnswer: 4, -0.2, -0.7, -1.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-7 + (7 - -1)). Let i be (-12)\/8*(-3)\/6. What is the closest to k in i, -1\/2, -1\/5, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1040078 + 116285.159\nAnswer: -923792.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0 - 4)*7. Let r = 641 + -642. Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let v(p) be the second derivative of -21*p**5\/20 - p**4\/12 - p**3\/6 + 3*p + 5. Is 16 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -149? (a) -4\/3 (b) 10220 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 326289 and 2928.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**4\/5 + 264*j**3\/5 - 4756*j**2\/5 + 8424*j\/5 = 0.\nAnswer: -81, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 15*q + 59. Let z be v(-6). Calculate the remainder when (-33)\/(z + -16)*(-4)\/(-6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -563 + 1082. Let g = 18 + -9. Suppose 3*b - g = z. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 5*h - 20, -h + 0*h = -3*b - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.354 and 0.1.\nAnswer: -7.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/120 - s**4\/12 + s**3\/3 - 88*s**2. Let u(a) = a**3 + a - 3. Calculate 5*p(i) + 4*u(i).\nAnswer: -i**3 - 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert c79 (base 16) to base 2.\nAnswer: 110001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-5))\/((-2)\/(-40)). Suppose -j = -3*j + s. Calculate the highest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1621, 2773, 3903, 4999, 6049, 7041, 7963, 8803?\n\"Answer: -2*o**3 + o**2 + 1163*o + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 10. Let f = 46 + -43. Let s(v) = 4*v - 11. Let n(q) = f*z(q) - 2*s(q). Let j be n(2). Which is smaller: j or 3\/16?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-20))\/1)\/((-630)\/175)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 33*v**2 + 4*v - 5. What are the prime factors of u(-2)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 5*u - 33. Let x be g(9). Suppose 6 = -x*j - 4*n, n + 3 = 2*j - 4. Let y be (-5)\/11*4\/(-10). Which is the nearest to 0? (a) j (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m**2 - 14*m**2 + 3*m**2)*(31135 - 31135 - 563*m**3).\nAnswer: -1126*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/12)\/(((-540)\/(-96))\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 27 = 724*d - 729*d, 5*d - 9 = w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 8. Let v(y) = -y**3 - 2*y**2 + y - 3. Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**9\/756 - k**5\/15 - 4*k**3\/3 + 9*k. Let h(l) be the second derivative of b(l). Find the second derivative of h(v) wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 27. Suppose 0 = -8*w + h - 5. Suppose -4*k + 5*d = -221, 0*k - 5*k + w*d = -255. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7001688*s**5 + 20569*s + 156 wrt s.\nAnswer: 140033760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10641587.1 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -27*i - 0. Let u(h) = 3*h**3 + 18*h**2 + 2. Let m be u(-6). Calculate the greatest common divisor of m and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*g + 176*g + 139*g.\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175752 at most as big as 177915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 110. Let g = -67 - c. What is the second smallest value in 0, 1, 2, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 12*v - 16. Suppose -v*c = c. Suppose -4*q - q - 3*y + 50 = c, -q - 4*y + 27 = 0. What is the least common multiple of q and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/7 + 12624*t\/7 - 19920672\/7 = 0.\nAnswer: 3156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*y = -2*y - 16, -4*p = -5*y - 20. Let l be 0 + (8 - 1)\/1. Factor p*w + l*w**2 + 6*w**4 - 13*w**3 - w**2 + 3*w - 2.\nAnswer: (w - 1)**2*(2*w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -933, -756, -447, 6, 615, 1392, 2349?\n\"Answer: 2*v**3 + 54*v**2 + v - 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65470 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:55 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 7. Let w(s) = s. Let l(v) = k(v) + 3*w(v). Let d be l(15). Which is greater: d or -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 21 = 0. Let s = -5 - i. Find the first derivative of k - 2*k + s + 2 - 3 wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.03 (c) -3 (d) -2\/7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**4 - 10*d**3 + 2*d - 2. Let w(g) = g**4 + 9*g**3 - 3*g + 3. Let l(f) = -3*h(f) - 2*w(f). Factor l(p).\nAnswer: 4*p**3*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -971133710 rounded to the nearest one million?\nAnswer: -971000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -2*u - 2*l, -l - 29 = 225*u - 226*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 5:47 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003906 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -2041a467?\nAnswer: -2041a462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4297606, -8595272, -12893044, -17190976, -21489122, -25787536?\nAnswer: -30086272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/1056*177 - 1135\/1816?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.9 + -31. Let b = j - 10. Which is bigger: b or -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*b = 334*b - 200 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 36. Suppose o*x - 1180 = 6*x. Is 59 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 4*k**2 + 6*k - 3. Let z be o(5). What is the third derivative of 6*j**3 + 3*j**6 - 12*j**2 - z*j**3 + 7*j**6 + 13*j**2 - 21*j wrt j?\nAnswer: 1200*j**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 364*o - 13625. Determine k(-54).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q + 93. Let o be l(-7). Suppose 0 = -3*p - n + 181, 36 = 3*p + 5*n - o. Calculate the greatest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4\/7 - 3940*p**3\/7 - 1191688*p**2\/7 - 2367584*p\/7 = 0. Calculate p.\nAnswer: -241, -2, 0, 1228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2536007.\nAnswer: 107, 137, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.028 - -5.728. Let v = -1.2 + w. Let h = v - 4.499933. Round h to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48615 - -28985. Let p = s - -2944597\/150. Find the common denominator of -123\/20 and p.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*f - 2081042 = 32*f + 2170531. List the prime factors of f.\nAnswer: 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 + 10020*x**2 - 25388157*x + 1439000938 = 0.\nAnswer: 58, 4981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5*n**2 + 19*g**5 - 17*g**2*n + 2*n**2 wrt g.\nAnswer: 120*g**2*n**2 + 1140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163 and 1467000.\nAnswer: 1467000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0.3 in descending order.\nAnswer: 5, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8290*p**4 - 31579*p**3 - 103*p**2 - 1749183*p?\nAnswer: -198960*p - 189474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let b(i) = -8*i - 33. Let v(z) = -b(z) - 6*o(z). Let s(p) be the second derivative of -p**3\/2 + 3*p - 14. Calculate s(v(x)).\nAnswer: -6*x - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 3, b: 13}. What is prob of sequence sw?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82101590 to the power of 1\/2, to the nearest integer?\nAnswer: 9061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00070657 rounded to 5 decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.06, 17, -6 in decreasing order.\nAnswer: 17, 0.06, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h = -38*h - 600. Let a be -4 + (-38)\/(-9) - h\/(-27). Solve 4*u + 0*r - a = -3*r, -3*u + 2*r = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.706 to one decimal place.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 26*k**2 + k + 28. Let u be (-127)\/5 + (-1)\/10*6. Let y be c(u). Solve -y = 4*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1939*y - 178324. Determine x(-92).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*d - r + 6, -3*r = 5*d. Let g = d - -7. What is the units digit of g - (-1)\/(-2)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/69)\/((-13)\/(-117)*3)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**4 - y**4 + 3*y**4 + (2*y - 3*y + 0*y)*(-389*y**3 + 190*y**3 + 191*y**3) as p*y**2 + n*y + j*y**3 + f + v*y**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 + 6405*m**2 + 64062*m\/5.\nAnswer: -3*m*(m - 10677)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231182225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-11)*a*a*a*a))**(-2\/25) assuming a is positive.\nAnswer: a**(-14\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(206*p**2 + 28*p**2 - 18*p**2 + 92*p**2).\nAnswer: 616*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 10*f - 5*d = -23, -2*f + 5*d = 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 33*y**5\/20 + y**4\/12 - y**2 - 7*y. Let o be c(-3). Find the common denominator of -22\/7 and o\/112 - 1\/(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 105.8 and -1.\nAnswer: -105.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -4 - 9 - (8 + (-24 - -38))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 250089720*r + 3127243402483920.\nAnswer: 5*(r - 25008972)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/3 + 21*q**2\/2 + 3*q + 35. Let b be g(-21). Find the first derivative of 140*y**b + 0 + 7 - 117*y**3 wrt y.\nAnswer: 69*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/685 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44839, 44857, 44875?\nAnswer: 44893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 447392 divided by -2542?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3334519.\nAnswer: 19, 223, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -486 - -533. Suppose i - 208 = 5*i. Let j = z + i. Which is the third biggest value? (a) -0.02 (b) -4 (c) -1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**2 - 4*u**2 - 6*u**2 - 5*u - 3*u**2 to the form n + v*u**2 + j*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(40\/(-15))*(-56)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21740, -86981, -195714, -347939, -543656?\nAnswer: -782865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*p + 73762 + 1517. List the prime factors of p.\nAnswer: 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148481621903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 312 - 324 - 3*h**2 + 7 - 7 - 6*h**2 - 2*h**2 + 5*h**2 - 2*h**2 + (3*h - 2*h + h)*(-5*h + 5*h + h) + 0*h**2 + h**2 + h**2.\nAnswer: -4*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.56*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.999921 + -20. Round y to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(99\/22 + -4). Let p(s) be the second derivative of 1\/6*s**4 + 8*s - 1\/3*s**3 + 0*s**2 + w. Factor p(l).\nAnswer: 2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -51. Let m = 759 - 748. Sort m, 4, u in descending order.\nAnswer: m, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 104?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 3*x**5\/20 + 671*x**2 + 5*x + 1. Let b(h) = -1. Let v(a) = -7*a - 6. Let s(g) = -6*b(g) + v(g). Give s(n(q)).\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0*r)\/(r\/(((r**(-3\/8)\/r)\/r)\/r*r))*r**1*((r*r\/(r\/r**(2\/9)*r))\/r)\/r assuming r is positive.\nAnswer: r**(-155\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 39 = f - 227, -f - 2*n + 262 = 0. Calculate the remainder when f is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:54 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -96505.9595 to the nearest one hundred.\nAnswer: -96500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.211 - 4.211. What is the closest to 3\/8 in 1\/8, i, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = 2*y. Suppose -3*x = -2*i + 191, 4*i - 377 = 5*x - 0*x. List the prime factors of i\/12 + y\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10767.069 - -10756. Let n = w + 0.069. Let v = 10.9 + n. What is the closest to v in 0, 2\/7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 6, m: 1, x: 4, f: 1, y: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 15*t. Which is the nearest to -13\/2? (a) t (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + 0*x)*(-5*x + 7*x + 41*x).\nAnswer: 86*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - q = 1, 0*q + q - 4 = 0. Let w = -4\/711 - -257\/3555. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.652 rounded to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 308 = 0. What is the remainder when x is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -1 - 44\/(-11). Suppose -x + v*x = -2. Let n(c) = -6 - 5*c**x - c + 3 + c - 4*c. Give n(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2654 divided by 9\nAnswer: 2654\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -57096978.57 to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p*p*p*p\/p**(-4)*p*p)\/(p\/p**(-2\/5))**(-28)*(p*p**5*p*p*p*p**3)\/(p**(-2\/7))**(3\/13) assuming p is positive.\nAnswer: p**(26966\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 9:45 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18829110, 18829110, 18829120, 18829146, 18829194, 18829270, 18829380, 18829530?\nAnswer: 18829726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 13*r**2 + 5*r**2 - r**2.\nAnswer: 17*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -14 (c) 1\/4 (d) -5\/4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 23, 38, 53, 68?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010000010001100 - 10001010?\nAnswer: 10011010000000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17500 is divided by 588?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4057 + 116?\nAnswer: -3741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38464.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 2*j + 12. What is the remainder when y(0) is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -2 + -1 + sqrt(720).\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1148\/(-16)))\/(640\/(-2240))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 9*o - 32 = 0. Let z = 34 + o. Calculate the remainder when 33 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11155 + 2?\nAnswer: 11160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lae when three letters picked without replacement from {z: 3, l: 2, e: 6, a: 4, o: 3, y: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0 + 1\/8*d**4 + 0*d - 1\/6*d**3 + 4*d**2. What is w(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6545 in -0.5, 23, 4, 2\/7?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**8\/6720 + z**7\/630 + z**6\/180 - z**5\/120 + 5*z**4\/24 - z**2. Let s(k) be the second derivative of r(k). Determine s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/5)*l**(-4\/9))**12\/((l\/(l**1\/l)*l**(-3\/2)\/l)\/(l**(1\/4))**7) assuming l is positive.\nAnswer: l**(1027\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2. Suppose 3*d - 42 = 4*c + d, -2 = -2*d. Let o = -10 - c. Determine k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*60\/36 - -307 is divided by 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 5*d - 3486, 5*c - 4*d - 17472 = 0. List the prime factors of c.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzqf when four letters picked without replacement from uuzziifzfffufiiqzuzu?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13*x + 9. Let f(g) = -28*g + 16. Let w be 0 - (6 + 1 + -11). Let o(k) = w*f(k) - 7*u(k). What is o(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 39, 113, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -89473930 divided by 89473930\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-65))\/(3\/30). Let j = 93\/65 - z. Let g = -154 + 157. What is the third smallest value in j, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 4*h**2 + 2*h + 8*h + 2 + 1 - 5*h. Let p be k(-5). Solve -p = 2*m - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.05488562?\nAnswer: -0.05488562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -32*a**3 + 26*a - 14. Let t(z) = 6*z**3 - 5*z + 3. What is -2*r(u) - 11*t(u)?\nAnswer: -2*u**3 + 3*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x + 7*x + 4*x + (3*x - 3*x + x)*(-1 + 4 - 1))*(-5 - 2 - 5)*(-74 + 74 + 3*x) in the form u*x**2 + n*x + t and give u.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/10 - 5*o**4\/24 + 5*o**3\/6 - 3407*o**2. Let c(i) = i**2 + i - 1. What is 5*c(n) + v(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7909 + 7911. Solve n = 5*z - 2 - 13, 2*n = -4*z - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 285407 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -163*q - 190*q - 4112 - 9655 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 312 = 2*h. Suppose -4*t - g + 2 = 0, g + 6 = -2*t - 3*g. Let m be (t - -2)*13\/3. Calculate the greatest common divisor of m and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -11013101?\nAnswer: 11013020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Find the second derivative of 3*f - 4*f + 3*f**2 + 2*f + j*f wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2669 times -19?\nAnswer: 50711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q + 4. List the prime factors of f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0288 from -393.\nAnswer: -392.9712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-163 - -40 - 58) + 79?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 265\/2 (c) -90\/163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**2 + 123. Let j(q) = -167*q. Calculate y(j(w)).\nAnswer: 334*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3151 (b) 0.3 (c) 32 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14.8 (b) 0.003 (c) -4\/5 (d) -2\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 28*g - 31*g - 36126, -4*k = 2*g - 28892. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 144, 278, 412, 546?\n\"Answer: 134*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -180*w - 59. What are the prime factors of k(-17)?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 128084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.253 rounded to the nearest integer?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 26553.\nAnswer: -26558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25748\/(-10362) + (-3)\/9*2\/(-1)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/49 + 25075\/(-44604) + 2\/(-24)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2071 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from ccyvvcycc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z + 7*z + z)*(-2 - 1 + 1) to the form q*z + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 65*v**2 + 34*v**2 + 33*v**2.\nAnswer: 2*v**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1146, 2369, 3746, 5355, 7274, 9581?\nAnswer: 12354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*g, -3*g - 13544 = 3*l - 7*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 + 553. What is the third derivative of -102*o**2 - 34*o**6 + y*o**2 - 202*o**2 wrt o?\nAnswer: -4080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttctxcccxtcicccicci. What is prob of sequence cicc?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:38 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 562.61.\nAnswer: -12377.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4017 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27854 (base 9) to base 10.\nAnswer: 18922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9 = -4*g + 7*w, -2*g = -5*w - 7. Let t be g\/(-4) - -4*(-2)\/(-16). Solve 1\/4*m**2 - 1\/2*m + t = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 3}. Give prob of sequence ii.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 104. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(-40)\/405.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 0, 5*h - 7*b = 2*h - 3*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732832 + 8*f**2 + 731988 - 1464820 + 0*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 4834*p - 1654*p - 7 - 6 in the form d*p + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1666 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c**3 + 1605*c**2 - 3*c + 255. Determine m(-107).\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 43222415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 5, 5\/4, 4, 0.505?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 2\/17, 151685 in descending order.\nAnswer: 151685, 2\/17, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 2. Let z be b(2). Suppose 0 = -z*c + 6 - 2. Suppose -7\/3*v**4 - 1\/3 - 2\/3*v + 4\/3*v**5 - 2\/3*v**3 + 8\/3*v**c = 0. What is v?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 82341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 5*a + 15. Suppose 5*h - 188 - 32 = 2*f, f = a*h - 132. Suppose -5*g = h - 189. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -629*s - 16. Is i(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c - 9 + 9)*(c**3 + 2*c**2 - 2*c**2)*(c - c - c).\nAnswer: 21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 2*w + 0*w)*(w + 2*w - 4*w)*(-4*w + 0 + 0) in the form k*w + y + i*w**3 + h*w**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/3*3\/(198\/(-2)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 344022 (base 5) to base 8\nAnswer: 30143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-104)*(-1376)\/1548\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o**2 - 9*o + 6. Let r be c(8). Suppose g = -5*g + r. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*w - 145*w + 5*x - 50, 2*w = -5*x + 80 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785272.\nAnswer: 2, 103, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2023231, 2023233, 2023235, 2023237, 2023239, 2023241?\n\"Answer: 2*o + 2023229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18049401, 72197499, 162444329, 288789891?\n\"Answer: 18049366*b**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 6921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 5232359\nAnswer: 20929436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by -158874.\nAnswer: 119\/79437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 3. Is g greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -711 - -714. Suppose -3*m = k*i - 4320, 11*i - 7*i = -5*m + 7201. List the prime factors of m.\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d*m**3*v**2 - 3*d*m*v - 15*d*v + 4*d + 52940*m**3*v**2 + 4*m**3*v - 2*m**3 + 9*v wrt v.\nAnswer: 10*d*m**3 + 105880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**5 - 1314971*k**3 - 25364817*k**2 - 3.\nAnswer: 780*k**2 - 7889826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4260738*z**5 - 2431163*z wrt z.\nAnswer: 85214760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, 1\/151, 5, -1\/14, 2 in decreasing order.\nAnswer: 137, 5, 2, 1\/151, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 15*m - 6. What is the units digit of i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 125 (b) -1\/7 (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132838 = 2*q + 15*u - 11*u, 4*u = 4*q - 265724. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/99, -0.8, -2 in decreasing order.\nAnswer: 2\/99, -0.2, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118153780 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + 486\/(-90) - (-677 + 6). Put 4, 5, o in ascending order.\nAnswer: 4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.4. Let s = -337\/205 + 214\/205. What is the third smallest value in -74, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 84. Let l be (-32)\/15 + b - 1022\/(-15). Let t = l - 66. Solve 0*s = t*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*f + 48, -f - 4*g = -2*g - 28. What are the prime factors of f\/(-6)*270\/(-25)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = 76. Suppose -o + 63 = 2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*c**3 - 18*c + 18*c)*(4*c + 0*c - 2*c)*(-1 + 0 + 5).\nAnswer: -216*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/3 + 2*v. Let n(c) = 3*c**2 + 2*c + 2. Let i(q) = -q**2 - q - 1. Let h(m) = -2*i(m) - n(m). Calculate s(h(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 5678*h**2 - 14 + 14 - 5680*h**2.\nAnswer: -6*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 - -0.44. Let i(w) = w - 28. Let u be i(0). Let t = -83\/3 - u. What is the closest to -1 in t, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35494 is divided by 32113?\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 101*g + 86. Let n be u(-51). Solve 238*c + n = 245*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + -0.06. Let s = -0.82 + i. Let t(y) = y**3 + 4. Let k be t(0). Which is the nearest to k? (a) s (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62556390.3 to the nearest one thousand.\nAnswer: -62556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9221646.07 rounded to the nearest 10000?\nAnswer: -9220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - 1*9\/(-3). What is the lowest common multiple of 149 - ((-80)\/8 + 5 + 9) and (45\/12 + p)*4?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -671, -1349, -2041, -2753, -3491?\n\"Answer: -w**3 - w**2 - 668*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*y**2 + 336 - 336 in the form u*y**2 + a + p*y and give u.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j. Let y(d) = d. Let z(q) = 2*q. Let l be (-2)\/6 + 16\/3. Let s(o) = l*y(o) - 2*z(o). Let p(n) = f(n) + 2*s(n). Let r(x) = x**2. What is r(p(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**9\/189 + c**5\/6 - 5*c**3\/3 + 2*c**2. Let v(o) be the first derivative of t(o). Find the second derivative of v(i) wrt i.\nAnswer: 320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38248.\nAnswer: 2, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144750*a + 3 = -2*j - 144745*a, 2*a + 2 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 17, -3, 0.2 in decreasing order.\nAnswer: 17, 1\/4, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.103 + -5.103. Which is the closest to j? (a) -0.03 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0560874646 rounded to three decimal places?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 7*t**2 - 11*t + 7. What is p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7827.18 millimeters?\nAnswer: 782.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*h = 0, 8*l - 3*h = 3*l + 27. Solve f + 2*a = -2*a - 17, l*f = -a - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 55.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 24. Calculate the remainder when 21 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 to the power of 1\/2, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -17. Let r(k) = 2*k**2 - k + 1. Let s be r(t). Suppose l = -g + s, 2*g + 3*g = l + 28. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 13) + -50 + 52.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34225, -68460, -102697, -136936, -171177, -205420, -239665?\n\"Answer: -p**2 - 34232*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -5, 12.\nAnswer: -5, -2, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4334 + 1?\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 2*l + 8, -3*l + o = -4. Let t(q) = 2*q**l - 6 - 4*q**3 + 3*q**3 + 9 - 4*q**2 - 2*q. Give t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/95 + -27\/190. What is the smallest value in a, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koykyooyyoonojv. What is prob of sequence vyj?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119251, 238491, 357733, 476977, 596223, 715471?\nAnswer: 834721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/301, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcpjcdjpdhchhjchh. Give prob of picking 2 p and 1 c.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 417 + -2*(-6)\/4. Suppose -5*d + g = 5*d. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-27))\/(4\/(-18)). Solve -3*b + n = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 1\/3, 72.\nAnswer: 1\/3, 6\/5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -187114 divided by 166?\nAnswer: -93557\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*u - 1, 2*x - 5*u = 101. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 + 15*j - 2. Let g(h) = -h**3 + h**2 - 16*h + 2. What is 6*f(t) + 5*g(t)?\nAnswer: t**3 - t**2 + 10*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/3 - 23*b**2 - 1271*b - 2. Calculate c(-12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-4 - (9 + -21) - (2 - 0 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 14, k: 1, m: 5}. Give prob of sequence uu.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3601025 to two dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 3*o - o + (-2*o + 5*o - 4*o)*(3 + 1 - 3) + (1 + 2 + 0)*(3*o + 23 - 65 - o) to g*o + x and give x.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + a + 3*a)*(865*a + 999*a - 1714*a) in the form x*a + g + z*a**2 and give z.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m + 586 - 122 = -27*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*r - 40*r - 2756*r**2 - 24*r - 22*r + 109*r to m + o*r**2 + p*r and give o.\nAnswer: -2756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*r + 20, 21 = 2*j + 2*j + r. Let t(s) = -s + 13. Let o be t(-5). Suppose -j*x + 2 = -o. What is the third smallest value in 0, x, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -126.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 221 + 17*f - 221. What is k(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44917\/8 - -5606. Calculate the common denominator of q and 2 + ((-1)\/(-2))\/((-2202)\/8334).\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288230 is divided by 79?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 58\/3, 0.681, 11, -0.5 in increasing order.\nAnswer: -0.5, 0.681, 11, 58\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 105\/10 + 2\/(-4). Suppose -16 - a = -2*v. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*d + 762*d = 3*l + 120, 50*d - 17*l - 2165 = 0 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 1400*q**2 + 179400*q + 24336000.\nAnswer: 2*(q - 390)**2*(q + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**3*u**5 - 451*c**3 - 101*c*u**5 + 17*c*u wrt u.\nAnswer: -240*c**3*u**3 - 2020*c*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c - 696 = 37*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3126588029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = v + 35 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29891 + 115944. Let i = 86053.099998 - l. Let q = i + -0.1. Round q to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -590 + 594. Let k(f) = -f - 1. Let t(v) = 2*v**2 + v + 10. Let s(y) = -5*k(y) - t(y). Let q(x) = x**2 - 3*x + 4. Determine b*q(o) + 3*s(o).\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 + 1. Let d(j) = 12*j**3 + 22*j**2 + 22*j + 2. Let g(w) = -10*c(w) - d(w). Let g(q) = 0. What is q?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 4, l: 3, s: 10}. What is prob of picking 2 l and 1 x?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*v**3 + 5*k*v + k + 864192*v**6 - 3*v**2 + 3066*v - 7 wrt v.\nAnswer: -12*k + 103703040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iffiffffffffffffffff. What is prob of sequence ffif?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*m - m - 12, 0 = 5*h + 4*m + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4623, -4624, -4625, -4626?\nAnswer: -4627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*t + 38 = 228*t. Let u = 1 - 6. Sort -6, t, u in descending order.\nAnswer: t, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 2702 - 7*i + 8*i + i - 1548 as q + p*i and give q.\nAnswer: -4250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -113*f**2 + 12*f - 4. Let v(g) = 28702*g**2 - 3051*g + 1017. Let q(u) = 1017*d(u) + 4*v(u). Let s(b) = b. Give s(q(p)).\nAnswer: -113*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 1 + 1. Let h be (-2)\/(-1) - (-1 - v). Let y = h + -6. Put 4, -1, y in ascending order.\nAnswer: y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/(-20))\/(40\/384). What is the highest common factor of m and 540?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 + 2.26. Which is the third biggest value? (a) 4 (b) -5 (c) x (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -279, 221 in decreasing order.\nAnswer: 221, -1, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d + 132. Let t be h(15). Let j(c) = 4*c**2 + 5*c + 2. What is j(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - b**2 - 1. Let o(s) = 5*s**3 - s**2 + s. Let v(h) = -4*g(h) + o(h). Suppose 8*t + 12 + 12 = 0. Calculate v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/9 (b) -2\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.292885 to three dps.\nAnswer: -0.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 21. Calculate the highest common divisor of 99 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*w + 2*w - 4*w)*(2 + 0 - 1)*((-5 - 1 + 4)*(-1 - 2 + 1) - 5 - 1 + 3 + 4 - 2 - 1)*(0 + 6 + 1) as v*w + o and give v.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -28 (c) 1\/7 (d) -0.3 (e) -23.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -85*(-92)\/782\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 15*h**3 - 3*h**2 - 63*h + 54.\nAnswer: -3*(h - 3)**2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/28*164\/984?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2237 - -2242. Which is the closest to -3? (a) 6 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0 + 3*u**3 - 10*u**3 - 5 + 3*u + 12*u**3. Does 23 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**4\/4 - 2*d**3\/3 - 5*d**2\/2 - 2*d + 12. Let o be s(-2). List the prime factors of 2\/(o\/26)*4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -22884\/223 less than -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**2*o**2*p**3 - 13*j**2*o**2 - j**2*p**3 - j**2*p**2 - 7*o**2*p**2 - o*p**3 - 2*p**2 wrt p.\nAnswer: 54*j**2*o**2 - 6*j**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*g - 65*g - 32985. Suppose -3*a + g = 27*i - 24*i, -2*a - 8 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 6*i**2 + i - 4. Let t be z(6). Suppose -t*m = 3*m. Suppose 70 = -m*u + 5*u. Calculate the remainder when 26 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4\/7 (c) -2\/711\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -393 + 411. Let f = -17.668 - 0.232. Let g = f + h. Round g to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 5 - -14 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5615, 5885, 6155, 6425?\nAnswer: 6695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.146 - 3.066. Let z = s - 0.08. Let w be 4\/14*(-112)\/48. What is the closest to 0.1 in -2, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - w**4 + 7*w**4 - 3*w**3 - 5*w**4 + w**2 to the form s + m*w**2 + a*w**4 + b*w + j*w**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2383164 by -9457.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.6, 3, -1\/4 in decreasing order.\nAnswer: 3, -1\/4, -8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3))**(-4))**(-25)*((i**(-5)\/i)\/(i**4*i))**(2\/29) assuming i is positive.\nAnswer: i**(-5866\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 6. Suppose f*q = 4*q + 10. Suppose 4*z - d = -6*d - 41, 2*z + 18 = -q*d. Let i(b) = -b**3 - 3*b**2 + 3*b - 5. What is i(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8633 + 7*h**2 + 5*h**2 - 7*h**2 - 677.\nAnswer: 5*h**2 + 7956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(500) - -5*(sqrt(500) + -1 - sqrt(500)))**2 + -2 + (sqrt(495)\/sqrt(11) - (sqrt(15)\/sqrt(3)*-5)**2)*-4).\nAnswer: -5115 + 560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert d9e (base 15) to base 13.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8043820*i + 2*i**2 + 8043820*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492842 divided by -1?\nAnswer: 1492842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-5049)\/(-165)*30\/9 and 63.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/401 or 1?\nAnswer: 3\/401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10428 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -835, -88, 9 in increasing order.\nAnswer: -835, -88, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -858, 53, 20, 106, 5 in descending order.\nAnswer: 106, 53, 20, 5, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 18)\/(5505\/8074).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 3, r: 17}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 10979.0638.\nAnswer: -4391.62552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*i = -3*i + 8, 5*i + 5 = -5*u. Suppose 4*n - n - 64 = 4*a, -n + u*a = -24. Solve 6 = -2*h + n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17373160\/1176 - (-14)\/(-147)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/12 + 305*i**4\/24 + 3*i**2 + 30. Factor p(o).\nAnswer: 5*o*(o + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 9. Let j(d) = 3*d - 4. Calculate j(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32239.69mm to meters.\nAnswer: 32.23969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35946 greater than or equal to -35950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17047.08mm?\nAnswer: 0.01704708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b0e3 - 13d?\nAnswer: aea5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*g + 82*g + 936*g - 395*g.\nAnswer: 1161*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7743961 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyyyysssyyyysyy. What is prob of picking 2 s and 1 y?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzrsrrsrbrrrsb. Give prob of sequence bz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -494660 rounded to the nearest one thousand?\nAnswer: -495000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1555 + 1555. Sort 1\/11, -232, r in increasing order.\nAnswer: -232, r, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254*v**2 - 224 wrt v.\nAnswer: 508*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzttttttttt. Give prob of sequence zt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 3. Let c be k(5). Suppose -95 = -4*m - 0*m + 3*b, 4*m = -c*b + 90. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-7)\/5 - -1). Suppose 2*s + 4*y + 20 = s, 5*s - y = u. Solve i = 2*c - s*i - 2, -c = 5*i + 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11586, -11530, -11474, -11418?\n\"Answer: 56*z - 11642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5708, -11426, -17144, -22862?\nAnswer: -28580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yny. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*c**3*i**2 + c**2*i**2 - 50*c*i**2 + 2*c wrt c?\nAnswer: -240*c*i**2 + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w + 2*a = 30, a = 5*w - 75. Let v(g) = 18 + 4 - 3*g**2 + g - 11*g**2 - g**2 + g**3. What is the units digit of v(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 15*b + 16. Let p be y(1). Let q = -1 + 4. Suppose 3*j - 15 = -q*t, 3*j = 2*j + t + 5. Calculate the greatest common factor of p and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 0, -4 in ascending order.\nAnswer: -4, -5\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.25. Let h = 3.781 - 3.5321. Let i = w - h. Round i to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390296 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: Suppose -25*k - 3780 = -53*k. What is the greatest common factor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/16)*(s\/(s\/s**(-22)))\/s)**(-23) assuming s is positive.\nAnswer: s**(8441\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-40))\/1)\/((-119)\/(-476))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 14*u. Let c(r) = -5*r**2 + 14*r + 2. Let g(f) = 5*c(f) + 6*t(f). Give g(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 203 (c) 0 (d) 0.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(560 - 130*n - 560)*(-9*n + 537 - 537) + (3*n + 2*n - 3*n)*(2*n + n - n).\nAnswer: -1166*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1329, -0.3, 6 in ascending order.\nAnswer: -0.3, -0.1329, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 - 3*k + 3. Let y be 15\/(-1 + -2) - -2. Let j(h) be the first derivative of -5*h**3\/3 - 2*h**2 + 4*h - 1. Calculate y*j(a) + 4*s(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 335454*o - 670916.\nAnswer: 2*(o - 2)*(o + 167729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 330*f**3 + 40*f**3 + 285*f**3 + (-3 + 3 + 3*f)*(2*f - 2*f - f**2).\nAnswer: 652*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 7. Let w be v(3). Suppose w*g - 7*g + 6 = 0. Find the second derivative of -1 + 1 - 6*x**g - 5*x - 3*x wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 0 + -185 + 173.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 49 + 9 = 0. Let a = 104 - 68. Suppose -2*p + a = -f. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 9712*b\/5 + 553608.\nAnswer: -2*(b - 270)*(b + 5126)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899 is divided by 436.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 - 647 = 69*g + 453 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129225 - 129191. Suppose 97 = d - 141. Calculate the highest common factor of d and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9391 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)\/u)\/u**(-3\/5))**(7\/5)\/(u**(-1\/2)*u*u**(-3\/7)*u*u)**(-19\/3) assuming u is positive.\nAnswer: u**(5491\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-609)*3\/2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*f = -q - 2, -2*q - f = -14. Solve 0 = 6*c - c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0 = -25, 5*h = -5*f + 35. What is the greatest common factor of 5 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-133)\/(-35) + 1\/5. Suppose -m = m - 10. Suppose -3*k - r + 2 = r, -s*k = m*r + 2. Solve -2*n = k*u - 0*n - 4, 5*n = 2*u + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000305259 rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m - 6. Let c be j(-15). Suppose 5*x + u - 266 + c = 0, u = -4*x + 145. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1535*k**3 - 10775*k**2 - 210*k.\nAnswer: -5*k*(k + 7)*(307*k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*h - 5, 5*s + 2*h + 22 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33123 divided by 3?\nAnswer: 11041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.051 and 2.275?\nAnswer: 0.116025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.04 - 0.04. Let b = -4.4 + i. Let t = 1.6 - b. What is the smallest value in t, 0.05, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924621.\nAnswer: 3, 89, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/20 - 7*w**4\/12 + w**3\/6 - 2*w**2 - 17*w. Is l(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + r + 1 - 12, 3*a - 5*r - 37 = 0. Suppose -a*n + n = -4*m + 522, -4*m = -n - 518. List the prime factors of m.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*c + 729, 5 = 5*c - 0*c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 957679962 and 8.\nAnswer: 3830719848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 6 - 60 + 15 + 21*a**2 + 10 in the form m*a**2 + z + u*a and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 21*k**2 - 20*k - 39. Let l be x(22). Sort 12, l, 3 in descending order.\nAnswer: 12, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (6*(sqrt(1584) + (1*sqrt(1584) - sqrt(1584)) + 2 + sqrt(1584)))**2 + -1)*2.\nAnswer: 6912*sqrt(11) + 456462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*1*(-32)\/40. Let f(d) = 1 - 13*d + 4*d**2 - 2*d**2 + 5 + 4. Is f(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - y**2)*(-2 + 0 + 1)*(19*y + 4*y - y).\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6949 + 39?\nAnswer: 6984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 27888149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -734790 divided by -244930?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5\/2, -0.5, 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/5 and -71\/146.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220211101222 + -2?\nAnswer: -1220211102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*r**2 - 784 + 42*r**2 + 672*r + 29*r**2 + 4*r**3 + 22*r**2.\nAnswer: 4*(r - 1)*(r + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 398433200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 28, 41, 80, 151, 260, 413?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28493158609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:08 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 58?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1584 and 66484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3657830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5771.6039 rounded to the nearest integer?\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -16957?\nAnswer: -16959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -333*d - 370. What is the units digit of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5130, 2501, 15222, 33033?\n\"Answer: 2545*y**2 - 4*y - 7671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49782224 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 28 = 2*h, 2*h - 3*h = l - 4. Calculate the highest common factor of h and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-155)\/(-30) + (-3)\/18. Suppose 5*z - 598 = -4*d + 7*z, 745 = w*d - 3*z. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2736) + -1 + sqrt(2736))*4 + -4*sqrt(2736)*-1)**2*6*2.\nAnswer: -13824*sqrt(19) + 4728000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 8 + (8 - 9) + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 42*p - 315 + 318 + 5*p. Let i be c(0). Solve -4*q = -3*o - 19, -5*o + 8 = i*q + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38197572860 - -0.0736\nAnswer: -38197572859.9264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 + 6*s - 2. Suppose 0 = h - 8 + 6. What is the lowest common multiple of h and r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7906)\/(-649) + (-14 - -2). Factor -2\/11*g**2 + 4\/11*g + 0 + b*g**4 - 4\/11*g**3.\nAnswer: 2*g*(g - 2)*(g - 1)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + 2) - (-3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 20 = -5*w, 212398*w + 3*b = 212393*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + v + 827 + 2435, 3*q = 3*v + 3258. Suppose 5*a + q = 9*a. What is the remainder when (2\/4)\/(4\/a) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 18. Let g be r(4). Suppose 21 = g*o - 5*n, 2*n - 7 = -o + 17. Solve 4*k - 3*k = 3*j - 13, 2*j - 3*k = o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1719415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-87 + 5 + 99)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 3*z)*(-9*z**3 + 26*z**4 - 11*z**4 - 16*z**4 + (-z**3 - z**3 + 0*z**3)*(-z + 0*z + 3*z)).\nAnswer: -15*z**5 - 27*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4530 + 4530. Solve 15 = 5*o + 3*g + 5, v = -4*o + 3*g + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1158 and -119\/24.\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 8509 - 8474 = 4*t, 13*t = 2*g + 55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**2 + r - 4. What is the units digit of f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.11, 0.4 in increasing order.\nAnswer: 0.11, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*h - 23 = 0, 12 = -13*g + 15*g + 4*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*a - 1437 + 72 = 295 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28230\/7528*(-132)\/(-15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 12904084*d + 83257691939528.\nAnswer: (d + 12904084)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + g - 16 = -3*g, -2*g - 10 = -2*b. Suppose 0 = b*x - 1 - 11. Suppose -4*z + x*t = -918, -2*z - z = -4*t - 676. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(384) - (-4*sqrt(384) + sqrt(384))) + -1.\nAnswer: -1 + sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -249*d - 35857. Give j(-144).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 6*r + 24. Let v(y) = 4*y**2 + 14*y - 2. What is the least common multiple of v(1) and s(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3591506 decades to months.\nAnswer: 43.098072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7273 or -2?\nAnswer: 7273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 10*d - 1. Let j be a(-9). Suppose -3*p + 1486 - 1450 = 0. What is the highest common divisor of p and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327676 - 115634 = -30*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -337637 or -337632?\nAnswer: -337632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67831.06 micrometers in millimeters?\nAnswer: 67.83106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*v - 62*v**2 + 0 - 121*v - 7*v**2 - 4 wrt v?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274742 (base 9) to base 8\nAnswer: 507172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, -81, -301, -525, -705?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6 + 4005*x**4 + 7*x**3 - 151*x**2 - 240?\nAnswer: -240*x**3 + 96120*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38571 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 12. Let r(t) = 1. What is h(y) + 6*r(y)?\nAnswer: y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19726095*o**3 + 475*o - 23668 wrt o?\nAnswer: 118356570*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = p, -1 = -3*p + 4*v - 7. Solve 0 - 10 = -p*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 + 26*f - 47. Let z be h(5). Which is smaller: z or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 280 + -55. Let x = f - 223. What is the biggest value in x, -0.4, 4, 0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 3*m - 4. Let n be y(4). Suppose 0 = 3*k - 2*a - 14, 2*k - 7 + 0 = -a. Let c(t) = k*t - t - 3*t + 4 + t. Determine c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36661370891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -399 times 265.2\nAnswer: -105814.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -2e8d11?\nAnswer: 2e8d0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.787179 to 2 decimal places.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w**2 + 12*w + 11 + w**3 - 6*w**2 - 2*w. Let n = -4 + -5. Let f be z(n). Solve 0 = -5*u - f - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 560220.5l?\nAnswer: 560220500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -118. Let y = 7.4939 - 70.5066. Let t = l + y. What is t rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131993095?\nAnswer: 5, 13, 19, 106877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**4\/12 + 5*r**3\/2 + 57*r**2\/2 - 4741*r. Calculate b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 19. Let p(n) = 688*n**2. Determine o(p(c)).\nAnswer: -473344*c**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 9, l: 2, j: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 5, r: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 2*f - 3*f)*(-215 - 56 - 30 + 0 - 2 + 1 + (0 - 1 - 1)*(3 - 3 + 1)).\nAnswer: -608*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {r: 2, m: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 36 - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*s - 14476 = -14484, -3*w = 4*s - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19617 by 3.\nAnswer: -6539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 7*t - 5. Let c be i(5). Let q = -10 + 8. Let r = c + q. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 - -205. Solve -5*f - 6 - t = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4254\/(-4963))\/((-6)\/(-112))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2))**(-5\/6)*h**8\/(h\/h**(4\/7)) assuming h is positive.\nAnswer: h**(353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 21*k + 0*k**2 + 6 - k**2 - 23. Let t be a(20). Solve 2*p - t = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.64 times 0.03\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -261 - (1 - (-14)\/(-2)). Let z = 2291\/9 + y. Find the common denominator of z and -14\/75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11153, 4, 1, 0 in decreasing order.\nAnswer: 5, 4, 1, 0, -11153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -47*k**2 + 28*k + 256. Give a(10).\nAnswer: -4164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 73\/4 of a week?\nAnswer: 3066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 26*m**2 - 9*m + 334. Is f(26) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - 2131?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(-4*p - p + 3*p) - 23585*p**2 - 5 + 23552*p**2 - 25.\nAnswer: -37*p**2 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -220*c**2 + c. Let i(g) = -2*g**2. Give t(i(s)).\nAnswer: -880*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + 114.8. Let k = -6.4 - p. Sort k, -4, 0.2, -1\/3 in increasing order.\nAnswer: -4, -1\/3, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 - -311. Let u = -188 + h. Which is the second biggest value? (a) 1\/8 (b) u (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(9075\/(-30)))\/1\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/110)\/(6\/1365) and ((-78)\/10)\/((-1485)\/(-825))*21\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5385, -5273, -5089, -4833, -4505?\n\"Answer: 36*h**2 + 4*h - 5425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 30*p - 432 = 26*p. Let w = -5 - -7. Suppose w*k + p = 2*b - 56, 3*b + k = 128. What is the greatest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7228 is divided by 802?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2\/3*s**3 + 0*s**2 + 0*s - 2. Let c(x) = -3*x**2. Determine c(k(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = f - 3*f. Let d(i) = i**3 + 4*i**2 + 2*i + 9. Let t(v) = -3*v**3 - 12*v**2 - 5*v - 26. Let y(n) = 17*d(n) + 6*t(n). What is the units digit of y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x + 0*x**4 - 31\/3*x**3 + 0*x**5 + 0 - 1\/120*x**6 - 1\/70*x**7 - 34*x**2. What is the first derivative of p(n) wrt n?\nAnswer: -12*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l**3\/2 - 14067*l**2\/2 - 130341*l - 146268 = 0.\nAnswer: -17, -6\/5, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23793178213+-4\nAnswer: -23793178217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79306273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6028 = 99939*k - 100015*k + 24 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3084, -1365, 354, 2073, 3792, 5511?\nAnswer: 7230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26652.91139492 and 0.37?\nAnswer: 26653.28139492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-40)\/(-64)*-4*-4 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:59 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k = -546 - 4382. Solve 844*r + k = 830*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10306 and 25471279?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -33*n - 288. Is 14 a factor of 2 - (2\/n + 2967\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50474 = -80*v + 21606. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 15*f - 132. Calculate the remainder when 61 is divided by x(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 3 (c) 0.3 (d) 8 (e) -2\/11 (f) 16231\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 55, -0.013, -0.4, -4\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*g + 3*g - 2, 4 = 4*g - 4*c. Let a be (20\/30)\/((-8)\/6 - g). Is a != 1\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8 = -b, 5*y + 3*b - 168 = 0. Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1555.38647 + 0.08647. What is a rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50225 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 1, c: 2, m: 4, q: 1, f: 3}. What is prob of sequence fjff?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 9475, 22 in decreasing order.\nAnswer: 9475, 115, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24*(-1)\/(-32))\/((15\/16)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + v - 4. Suppose 9*u - 5*u = -16. Is a(u) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*v**5 - v - 215 wrt v.\nAnswer: 4260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 4:13 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -519.2 + 778. Let b = c - 259. What is the nearest to 0.01 in -3, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9958 - -27372. List the prime factors of n.\nAnswer: 2, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1431345 or -1?\nAnswer: 1\/1431345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/7 (b) 3\/14 (c) -2\/3 (d) -6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2284, -2441, -2710, -3097, -3608, -4249, -5026, -5945?\n\"Answer: -y**3 - 50*y**2 - 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*364629\/(-171)*2\/1. Is -1 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26506817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355287*f**2 - 355609*f**2 + 710533*f**2.\nAnswer: -363*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002245295 to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 63 = 65 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 4, -358, 3, 77, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + 137. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 + 14*j**2 - 8*j - 8. Let o(x) = -x**2 - x. Let i(h) = -h**3 + 10*h**2 + 2*h - 3. Let k(p) = -i(p) - 5*o(p). What is 8*k(m) + 3*l(m)?\nAnswer: -m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -16*b - 331. Let s be m(-21). Let a(c) = c**2. Let t(j) = 8*j**2 - 16. Determine s*a(q) - t(q).\nAnswer: -3*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699794.\nAnswer: 2, 31, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85407.42 days to hours.\nAnswer: 2049778.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -2*g. Let u be (2\/g)\/((-10)\/(-40)). What is the third derivative of 4*a**5 + 2*a**u + 3*a**5 - 10*a**2 wrt a?\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (0 + -6 + 3). Let f be 7 - (3 - (a + -1)). Suppose -f*j + 467 - 47 = 0. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17*w - 711. Calculate the least common multiple of 1200 and r(-43).\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 2048\/51*k**3 - 1\/1020*k**6 - 17*k**2 + 0*k + 0 - 96\/17*k**4 + 11\/85*k**5. Factor u(m).\nAnswer: -2*(m - 32)**2*(m - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72)*-1)**2*-4) + (-4 + sqrt(72)*1)**2)*1.\nAnswer: -42*sqrt(2) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14867 + 14876 - (32 + 0 + 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*g**2)*(181 - 82 - 174) + 0*g**2 - 3*g**2 - g + g**2 as m + r*g**2 + y*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.022, 1\/29, 0.1, -1\/3, -4?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*m**3*r*t**3 + m**3*t**3 + m**3*t**2 - 59*r*t**2 - 5*t**5 wrt t.\nAnswer: 60*m**3*r + 6*m**3 - 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 2*n + 0*n)*(-48479 + 5010*n + 3928*n + 48479) to q + l*n**2 + b*n and give l.\nAnswer: -17876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99*17\/(-24310)*39?\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:31 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/((-6)\/(-93)) + -2 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/21 - 116*t**3\/21 - 1432*t**2\/21 + 7316*t\/21 - 1922\/7 = 0. What is t?\nAnswer: -31, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807909 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -80999804, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + -2a?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 - 2*g**5 - 2*g**5 + (729*g - 3933 + 3933)*(g**2 - 2*g**2 + 2*g**4 - g**2).\nAnswer: 1459*g**5 - 1458*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d**0*d*(d\/((d**(1\/12)\/d)\/d*d))**(-2\/71) assuming d is positive.\nAnswer: d**(-2153\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -1.85. Let v = s - -0.17. Let y = v - -0.18. Which is the third biggest value? (a) -1\/3 (b) 3\/8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30.15, -0.5, -0.116, 0.08 in decreasing order.\nAnswer: 30.15, 0.08, -0.116, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1112411\/66 + -16854. Calculate the common denominator of 71\/42 and g.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:32 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54\/91 - 4\/13. Let v(o) = -o**3 + 7*o**2 + 8*o + 1. Let k be v(8). Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -1, 0.41, -0.17 in decreasing order.\nAnswer: 5, 0.41, -0.17, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7350455 and 644?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 7429*t**3\/6 - 1167*t**2\/2 - 260*t - 2. What is the derivative of g(w) wrt w?\nAnswer: 7429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991494727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*a = f - 1168, 4*a - 582 = -f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/59 in 0.5, -2\/17, -173, -4, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4800)*-3.\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548778 is divided by 9799?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -0.08, -32, 0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -718 - -735. Sort 15, 4, z, 2 in descending order.\nAnswer: z, 15, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 284690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8720387)\/(-46262)*(-2)\/52.\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92049 and 13581.\nAnswer: 828441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.9 + -21. Which is the closest to 1\/2? (a) 0.5 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0054612 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(448) - (sqrt(448) + 0))**2 + -3) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + 11. Let g(q) = 21*q**2 - q + 56. Let r(f) = -2*g(f) + 11*u(f). Suppose 0 = -16*k + 33*k + 119. What is the units digit of r(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 29*k = -24. Sort -28, k, 2 in decreasing order.\nAnswer: k, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11.78, -18, 0.2, 2\/173, -4 in ascending order.\nAnswer: -18, -11.78, -4, 2\/173, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.19, 5, 9, -4, 11, -0.5?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 - 2*r**2 + 7*r**2)*(-1 + 4 + 2)*(2 - 1 - 2) to u*r + q*r**2 + k and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/23, 0.5, -5, 0.063, 2\/5.\nAnswer: -5, 1\/23, 0.063, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 52*z**3 + 138*z**2 + 2752*z + 2560.\nAnswer: 2*(z - 16)**2*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + ((3 - 1)*3 - -2). Suppose -10*k + y*k = 27. Solve -5*g = -4*q - 25, -5*q + 2*g = -0*g + k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 10*d - 7. Let k be g(9). Let q = k + -2. Is 1 + q + (-1 - -15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllvllxxllll. What is prob of picking 1 v and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {p: 2, h: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 8, b: 2, f: 2, a: 2, t: 2}. Give prob of sequence bbf.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -525324*a + 533887 wrt a.\nAnswer: -525324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7739, -30865, -69423, -123413, -192835, -277689?\n\"Answer: -7716*c**2 + 22*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471860739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 - -3.543. Let z = -0.304 - h. Round z to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*v - 1849 - 477*v + 169*v + 144*v as t*v + p and give p.\nAnswer: -1849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 1487616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.2. Let k = 30 - -43. Let z = 75 - k. Which is the closest to z? (a) 2\/3 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 617\/65 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.61, -5, 0, -6079, 1.\nAnswer: -6079, -5, 0, 1, 2.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -19*p - 13. Let z(d) = -203*d. Determine l(z(k)).\nAnswer: 3857*k - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5006, -2, 0.1, 1\/3, 4, 5.\nAnswer: -5006, -2, -1, 0.1, 1\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -205, -433, -761, -1195, -1741, -2405?\nAnswer: -3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 4)*(-156)\/(-7644).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - ((11 - 11) + 7 + -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -12894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 175.60272 to one decimal place.\nAnswer: 175.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2308*p**2 - 2479*p**2 + 775*p**2.\nAnswer: -4012*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 577992.9?\nAnswer: 577992.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 9. Let s(w) = 2*w - 16. Let o be s(6). Let i be m(o). Which is the second smallest value? (a) 0 (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389757565 a multiple of 3199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10823.8345 - -10818. Let d = f - -0.0045. What is d rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -790*u**5 - 750*u**5 + 1769*u**5 + (u**2 - u**2 + u**4)*(0*u - u + 2*u).\nAnswer: 230*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose 2*x - 27 = -9. Solve -3*i + 5*q - x + 4 = 0, i = -p*q - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105.1 - -100. Let t = 0.14 + 5.42. Let u = m + t. What is u rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*c - 50*c - 15. Solve -22 = -c*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from xtxtttttxtt?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 5, u: 2, r: 3}. What is prob of sequence lnl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - 44\/(-33). What is the third derivative of -5*c**3 - 6*c**2 - 2*c**2 + 16*c**r wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = g - 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/14403928 and 17\/1232.\nAnswer: 28807856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -12*c**2 + 5*c + 1. Let q(f) = 25*f**2 - 9*f - 2. Give -11*b(o) - 6*q(o).\nAnswer: -18*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/5 (b) 0 (c) -1\/36 (d) 0.4 (e) -0.1 (f) 5 (g) -250\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8022 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -24*s**2 + 9*s**2 + 21*s**2. Let f(r) = 21*r. What is f(q(m))?\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59217?\nAnswer: 3, 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -70. Suppose -3*s + 64 = -4*f, 3*s - 28 = -14*f + 9*f. Calculate the remainder when h is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 2*s - 3*s + 7*s to the form q*s + x and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -42. Suppose -5*f + q = -0*f. Factor 0 - 1\/4*w**f - 3\/4*w**3 - 3\/4*w**2 - 1\/4*w.\nAnswer: -w*(w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -5454?\nAnswer: -5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 8 = 72 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 12\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -5*q**4\/12 + 215*q**3\/2 - 41*q + 7. Solve j(z) = 0 for z.\nAnswer: 0, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -314 + 158 + i**2 + 155. Let a(o) = 6*o**2 - o - 5. What is 4*a(z) - 22*k(z)?\nAnswer: 2*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 1 h when three letters picked without replacement from {l: 8, h: 1, y: 5, n: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 3*t + 2. Let q(r) = -36*r + 219. Let y be q(6). Give z(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 1\/3*d**2 - 4\/3*d + 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2197 or -2167?\nAnswer: -2197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:37 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-9)*2\/3 - 0. Solve -j*b - b = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cooccco?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222102 (base 3) to base 7.\nAnswer: -2036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.31 - 55.31. Which is the nearest to 1\/2? (a) n (b) -3\/19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 1. Let c(n) = 141*n**2 - 3*n + 1. Let a(o) = -2*c(o) + 6*r(o). Let l be a(-6). Is l\/(-20) + (-4)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -738.5 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 2. Let b(f) = -8*f + 1. Let g(r) = -b(r) + 4*u(r). Determine g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 100 + 60. Calculate the remainder when 57 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:35 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -551\/8 + 69. Let q = 12.5 - 93.4. Let d = q + 81. Put u, -0.1, d in descending order.\nAnswer: u, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 16) in base 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**3 - 27*d**2 + 6*d - 23. Let o(a) = 5*a**3 + 27*a**2 - 5*a + 22. Let f(c) = -7*o(c) - 6*t(c). Find the second derivative of f(k) wrt k.\nAnswer: 6*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 299 + 1152 - 229 - 351 - 355 - 289.\nAnswer: -y - 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 8*p - 10. Let m be u(-10). Let j = 37 + m. Calculate the common denominator of 87\/34 and j*2\/(-20)*(-68)\/4.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3922 - -0.0986. Let m = 3.3 + t. What is m rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + 11 + (-547 - -547)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/8)\/(1\/(-2)). Find the second derivative of 5*q - 3*q - h*q - 2*q**3 wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/(-228))\/(3\/36)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -70 * -0.5\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2360)\/(-9440) + 23\/(-2)?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpfm when four letters picked without replacement from mfmmmmmmpp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474 and 4626.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 39*f**2. Let q(l) = -586130*l. Give q(v(p)).\nAnswer: -22859070*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176413 + -124524. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/30 - 5*r**3 + 17*r**2 - 1. Let k(n) = 2*n. What is m(k(s))?\nAnswer: -8*s**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26043651 divided by -369.\nAnswer: -70579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51480 and 130104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-24)\/2)*(-16)\/(-20). Suppose 3*g - z = -g. Solve -f**4 + 8 - 5 - 6*f**3 + f**5 + 0 - 11*f + 0*f**5 + 14*f**g = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - -2 - (4 - 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 + 0*i + i - i + 5*i**2. Let n be j(-1). Let z(d) = -d**2 + 1. Calculate z(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.80374 and 0.3.\nAnswer: 8.641122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/((q\/q**(-1\/2))\/q)*q))\/q*q\/(q**(-2\/17)*q)*(q**(2\/3))**(-1\/3))**(12\/7) assuming q is positive.\nAnswer: q**(-370\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 at most -945\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-5)\/10*-12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 + 26*g**3 + 5*g**3 + 11*g**3.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 3*d + d - d**2 + 3 + 3*d + 4. Let h(c) = c + 4. Let t be h(-4). Calculate v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**3 + 0*b**3 - 2*b**3)*(12 - 103 - 134)*(3*b - b - 4*b) + b**4 + 2*b**3 - 2*b**3 to u*b + a*b**3 + j*b**4 + d + x*b**2 and give j.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10168 = -2*f, -4*b - 2*f = -8281 - 5281. Let h be b\/20 - 2\/4. What is h rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k + 3*r = -28, -3*k + 0*r - r - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*f*o*s**2 - f*o*s - 3*f*s**2 - 94*f*s + 35*o*s**2 + 2*s**2 - 2*s with respect to o.\nAnswer: 21*f*s**2 - f*s + 35*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/9, 4339, 12 in descending order.\nAnswer: 4339, 12, -23\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 3*n + 4*n)*(15 + 55 + 44)*(-13 - 2 + 1) to the form y*n + h and give y.\nAnswer: -3192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -27. What is the closest to a in 1, -1\/6, 2\/201?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(2\/12)\/((-93)\/1395).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42925688 divided by 130871.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0023 and 1?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18228059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 136808. Let i = 21798 + u. Suppose -i = 5*c - 6*c. What is c rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/8 - 2\/8. Let l(p) = -k*p**2 - 2*p + 4*p**2 + 3*p. Suppose 7*c = 5*c + 4. Let s(w) = w**3 + 7*w**2 + 6*w. Determine c*s(v) - 14*l(v).\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 59 - 2*c + 34 - 93. Let f(g) be the third derivative of g**5\/60 - g**4\/3 + 4*g**2. Calculate f(s(h)).\nAnswer: 4*h**2 + 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b - 324. Let s(o) = -16*o + 324. Calculate -5*a(m) - 4*s(m).\nAnswer: -m + 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 4*h - 6. Let i(r) = 3*r**2 + 9*r + 16. Let g(u) = 3*i(u) + 8*k(u). Give g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1421*q + 1897*q + 2799*q - 206360 = -10616 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 4. Let l be 1 - 5 - (1 + -7). Suppose 8 - 62 = -5*m - 3*i, 3*i = m - 18. What is the lowest common multiple of m and v(l)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2342440233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -16124 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 59 = 3*o - 0*o, -o = u - 39. What is u rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2. Let g(d) be the first derivative of 0*d + 34\/3*d**3 - 107 + 0*d**2. Determine g(x(y)).\nAnswer: 1224*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 + -0.1. Let y = -3.223 - f. Let h = y - -0.0168. What is h rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 2*q + 1. Let t be c(1). Let m be 2 - -2*(-96)\/2. Let s be m\/(-18) + (-12)\/54. Put s, -1, t in decreasing order.\nAnswer: s, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-12) + (-705)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n + 6. Let q be n + (-9 - -3) - -59. What is the highest common divisor of 84 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:53 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac8dd (base 16) to base 11.\nAnswer: 443019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28601\/21 - 8108\/7. Let a = -1181\/6 + q. What is the common denominator of 3\/16 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -567*p**4 - 22104*p**3 - 149583*p**2 - 287466*p - 26040 = 0?\nAnswer: -31, -4, -35\/9, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 60*n**2 - 86*n - 1603. Give r(-59).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45065169 and 550809.\nAnswer: 11241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(21\/(4\/(56\/(-21)))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 2309*z**2 + 72*z**2 - 4*z as a + x*z + q*z**2 and give q.\nAnswer: -2237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 58 = 109 + 144 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -698870 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4950 - 1000 - 521 + 2040 - 3139 - 4041)*(-5*z**3 - 5 + 5) in the form a*z**2 + x*z + n + h*z**3 and give h.\nAnswer: 58055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -7, 570, 1 in decreasing order.\nAnswer: 570, 3, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 23*f**2 - 6*f - 28. Let t be b(-9). Suppose -14*y - 153 = -t. What is y rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 19 - 7 = 0, 2*x - 281 = 5*k. Determine w so that -x*w**3 - 15*w**2 + 0*w**4 + 3*w**4 + 142*w**3 + 18*w = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.8 (c) -2\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.13864 years to months.\nAnswer: 565.66368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/196266 and 169\/46998.\nAnswer: 219621654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3821610 and 5330.\nAnswer: 3821610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqr when three letters picked without replacement from qrf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/5, -163.\nAnswer: -163, -2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i - 2. Let m(z) = -z**3 - 9*z**2 - z - 7. Let g be m(-9). Let t = 0 + g. What is the smallest common multiple of b(t) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/15 (b) 1\/36 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/45)\/(-4)*(-3)\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 59\/6*g**4 + 0 + 15*g + 0*g**5 + 0*g**2 + 119\/30*g**6 + 0*g**3. What is the third derivative of p(o) wrt o?\nAnswer: 2856*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2208 = 2*l - 0*z, 3*z = -4*l + 4402. Calculate the smallest common multiple of l and 5.\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/2)\/g**(3\/4))\/(g**(1\/3)\/(g\/g**(-2))))\/(((g*g\/(g\/(g*g\/g**(-4))))\/g*g**(-1\/5))\/(g**(-2)\/(g\/(g**(-7)\/g*g)))) assuming g is positive.\nAnswer: g**(-983\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 25673 = -25583. What is the biggest value in 8, 4, 35, l?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. What is the common denominator of 890\/(-550)*15\/(-6) and 171\/(-10) - (-2)\/f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-45)\/(-6)))\/(7\/6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5515\/4412)\/(((-2)\/(-8))\/(53\/5)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from jjjjpppjjjjj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:23 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 1 + 1)*(-1 - 2 + 5) + m - 4 + 4 + 2*m - 3*m - 6*m + 4*m - 2*m - m + (3 - 3 - 3*m)*(-2 + 3 - 3).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11336624 - 41?\nAnswer: 11336563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = 2*k, -12 = -4*k - 2*p - 2*p. Let u be k\/5 + (-148)\/185. Let q = 5.9 + 1.1. Which is the closest to u? (a) -0.5 (b) 2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 8*(-3 + 14\/4). Sort 1, -93, l in increasing order.\nAnswer: -93, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2482, -2499, -2516, -2533, -2550?\n\"Answer: -17*p - 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 26 = -2*g - 34, 0 = -3*g - 3*o - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -353744.7 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 6. Let b be (-1)\/(k + (-6)\/(-9)). Solve b*x + x = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -20*p + 201 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**5\/15 - n**3\/6 - 2*n**2 - 3. Let v(r) be the second derivative of l(r). What is the derivative of v(g) wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-12)*x))\/(x\/(x*x**(2\/11)*x))*(x\/x**0)**(7\/4) assuming x is positive.\nAnswer: x**(701\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-9 - -15 - 8) - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 9) to base 3\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139689 is divided by 8212?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/9 + 214*k**2\/9 - 4*k\/9 - 856\/9 = 0.\nAnswer: -214, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10053300 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - d - 73 = -0*d, -3*d = -6. Let p = n + 50. What is the remainder when 57 is divided by p\/(-20)*1*16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465713585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 195326761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 39534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 3. Let x be r(5). Suppose -m + 4 = x. Let j = -2 - m. Calculate the highest common divisor of 10 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182623730 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 2, h: 3, l: 4, v: 2}. Give prob of sequence hj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (6 + -10 + -9 + (-16 - -33))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 12 - (4\/4 + -5). Are -44 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 0, -n = 2*n + 5*x - 18. Let s = n + -10. Calculate the remainder when 172\/5 - s\/(-10) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**5 - k**5 - 2*k**5 - 2*k**5 + 4*k**5 - 4*k**5 + (k**4 + 3 - 3)*(2 - 2 + k).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 291238 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147 + 175. Let p(d) = -d - 47 + 28 + g. Suppose 18 = 3*y + j - 1, -j + 26 = 4*y. What is p(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604534087 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5548073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-150*c**2 - 757*c**2 + 262*c**2 - 287*c**2)*(-4*c - 1 + 2*c + 3*c) to r*c + x + z*c**3 + j*c**2 and give j.\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 13476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 + -180. Let r(w) = -w**2 + 8*w - 10. Let y be r(t). Solve s = -1 + y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 9*p**2 - 2*p. Let u be d(9). Let k be (-46)\/(-14) + u\/63 + 0. Let g(h) = -k*h**2 - 21 + 21. Let c(q) = 8*q**2. Determine c(g(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5095560 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35530 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 141 minutes before 8:12 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/18 - 10\/9. Let w = 1 - 6. Let d = w + 8. Which is the closest to v? (a) d (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.5, -2\/5, 230, -5, 8\/3.\nAnswer: -5, -2\/5, 8\/3, 5.5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.92 times 1.3781?\nAnswer: -4.024052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 66521?\nAnswer: 66521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 143 = -15*c, l + 31 = 19*c - 16*c. Let p be 1*3 + -3 + 3. Suppose p*k - 2 = k. Solve k = u, -5*v + 5*u = 11 + c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -44, 76, -61, 0.\nAnswer: -61, -44, 0, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 244506*v\/5 + 46283076\/5.\nAnswer: -2*(v - 189)*(v + 122442)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -7*f**4\/12 - f. Let i(a) = -a**3 - 3*a**2 - a - 1. Let q be i(-3). Let p(l) = -l**q - 4*l**2 + 2*l**2. Determine p(n(m)).\nAnswer: -147*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 987*x - 972*x - 60. Solve -3*q - 4*j = 2, -4*j + 10 = -5*q - x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 (base 7) in base 4?\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - (-16 + -63)) + 31.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 7*r**2 + 7*r - 1. Let o be m(-6). Let j = o - -5. Let y = 7 + j. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8236 - 5178 = -322*v - 6001 - 8329 for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 18*q + 5. Let p(y) = -10*y - 52. Let d be p(-6). What is u(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7389 by -8799.\nAnswer: -2463\/2933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 2 j when four letters picked without replacement from ufcfljjp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -2 + 1)*1. Suppose o*i - i = -2. Let b(q) = -5*q**3 + 2*q**2 - 3*q - 5. Let m(w) = -w**3 + w**2 - 1. Let r(n) = i*b(n) + 4*m(n). Determine r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + q**3\/6 - q. Suppose -9*l = -339 + 33. Let z(x) = -2*x + 36 + l + 29 - 99. What is y(z(f))?\nAnswer: -4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7667.103 + -7671. What is z rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + ((-1)\/((-3)\/(-75)) - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/(-12)*(-7)\/56*12. Solve -3*t = c + 5, -16*c + 7 = -17*c - z*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 0.1, 0.1189 in ascending order.\nAnswer: 0.1, 0.1189, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - 18 = 39. Solve 0 = -22*z - u*z + 164 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/15)\/(1\/(-2)). Let n be (1 + -1)*(-3)\/3. Solve 2 = r*g - n*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h - h)*(2 - 4 + 2*h - 1) as d + v*h + p*h**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3 + (-4)\/6*6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 150883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357.5 - -353.7933. Let s = 3.7 + f. Round s to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -150. Suppose -29 = -2*d - 1. Let s = d + y. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 = 6*z - 10*z, 3*a + 3*z = 45. Let r(t) = t**3 - 1 - 14*t - 5 - 5 - 14*t**2. Let p be r(a). Solve c - p = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027501 to 4 decimal places.\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 4. Let m be (5\/(-2))\/((-25)\/100). Let h(c) = -7 + m - 7*c + 6. Calculate -4*h(s) - 9*u(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -2, -4\/5, 2\/9 in decreasing order.\nAnswer: 2\/9, -0.02, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f7da (base 16) to base 15.\nAnswer: -28341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/2))\/y)\/(y\/((y*y**(2\/11)*y)\/y)))\/((y\/(y*(y\/y**3*y)\/y))\/y)**(-2\/117) assuming y is positive.\nAnswer: y**(-775\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + o + 20047 + 2753 = 0, 17081 = 3*r + 4*o. What are the prime factors of r?\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*r**2*s - b**2*r*s - 2*b**2*s + 150*b*r**2*s - 2*b*r*s + 95*b*r + 4*r*s wrt r?\nAnswer: -4*b**2*s + 300*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -48 + 6. Let j = 16 - a. Differentiate -7*s**3 + 21 - 12*s**3 - j*s**3 wrt s.\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79001, -632189, -2133701, -5057699, -9878345, -17069801, -27106229?\n\"Answer: -79027*l**3 + l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.39, -10, 5, 14?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in 1.458, -5, 1\/6, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 + 8*k - 34)*(-42*k**2 - 1149*k + 1149*k)*(2 - 3 - 1) as y + f*k**2 + i*k + u*k**3 and give u.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6347715 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:04 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69412 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 -3*l + 80 = -4*v, -9*l - v + 36 = -8*l. Suppose -3*j + 16 = 4. Suppose 4*p = -2*y + l, p - j*y - 6 = 2*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7488 and 1674504.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 28. What is h(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4688594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khmp when four letters picked without replacement from {t: 5, b: 4, m: 2, h: 1, p: 1, k: 2}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -30906736\nAnswer: 9272020.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r - 4*r - 6 + 2 + r**2 + 0*r. Let d be z(12). Calculate the highest common divisor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/((1\/(-1))\/(-1)). Let r = 34 + c. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32646, 65278, 97910, 130542?\nAnswer: 163174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 6. Let l(z) = -3*z - 14. Let g be l(-5). What is the least common multiple of a and (-6)\/12*g*(-23 - -1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 11, 0.5, -5, 7, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204 + 9*h - 204 to the form t + x*h and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 i when three letters picked without replacement from {a: 1, i: 5, q: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -11, -14, -17, -20, -23?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 50, 93, 170, 293?\n\"Answer: 2*m**3 - m**2 + 10*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5033440 and 1351.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -353032.7394 - -353115.739402215. Let n = z + -83. Round n to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 6. Let m be (-2)\/5 + (-2718)\/(-45). Suppose 3*n - m = -78. What is d(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 5. Suppose 5*w - 2*v + 1 = 10, 5*v = 4*w - 14. Let x be (-6 - -7)*(6 - w). Determine c(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5630 divided by 2815\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/4))\/m)**(3\/2)*(m**(2\/3)*m)\/(m*m*m\/(m*m**7)) assuming m is positive.\nAnswer: m**(151\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*g = -0*z + 44, -5*z = -5*g - 200. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2 + 5\/((-20)\/(-6)). Let s = 1\/107 + 98\/963. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2987 - -7762. Suppose s - v = -3*z, 0 = -z - 3*s + s + 1590. Let t = z + -9523\/6. Calculate the common denominator of -77\/10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 30*o = -9650000. Round o to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12442000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 63. Let b(j) = -2*j + 7. Give b(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h + 16. Let b be (11\/(-33))\/(1\/(-3)). Let k be 2*5 + (21 - 26). Sort k, b, h in decreasing order.\nAnswer: k, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.4. Let s = 20 + -29. Let c = -9 - s. Put c, -3, m in increasing order.\nAnswer: -3, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 20, 49, 90, 143, 208, 285?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -16. Suppose 5*j - c = -y, -y + 2*j + j = -26. Suppose -y = -2*g + g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*i - 2*k, 2*i - 24 = i - 5*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**1\/v*v)))\/(((v*v**(-11))\/v)\/v)*((v*v**(2\/19))\/v)\/(v*v**(1\/7)))**(-11) assuming v is positive.\nAnswer: v**(-17501\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - b)*(-b**2 + b**2 - b**2)*(-b + b + 2*b).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a. Let d(r) = -75*r**2 - 2*r + 45. Let h(p) = 154*p**2 + 4*p - 91. Let k(j) = 7*d(j) + 3*h(j). What is w(k(g))?\nAnswer: 126*g**2 + 4*g - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57708 and 4452.\nAnswer: 3058524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/27 less than -70\/1913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7.60434 * 0.4\nAnswer: -3.041736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 24 = 8*f, -3*r + 69*f - 65*f + 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7878736?\nAnswer: 2, 492421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2 - 5*f - 5. Let q(z) = z**2 + 9*z + 8. Let y be q(-6). Let l(m) = m**3 + 10*m**2 + m + 6. Let h be l(y). Is i(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 109082*l + 54263524.\nAnswer: -2*(l - 55034)*(l + 493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2) + 2075\/(-117). Let m = 188\/9 + u. Which is greater: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n + 92*n + 33*n - 221*n + 34*n + 28*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8409*m - 8422*m + 1001. Suppose 2*z + 2*z = 312. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:39 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 267438863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/105*-1 - (-36)\/162*12.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 56*o**3 - 13*o**2 + 7*o - 55. Let n(t) = -228*t**3 + 52*t**2 - 31*t + 219. Let d(q) = 2*n(q) + 9*w(q). Find the second derivative of d(v) wrt v.\nAnswer: 288*v - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose -4*i = i. Let n(p) = i + p**2 + 0 - 4*p - 1. Give n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(((t*t**17\/t)\/t)\/t*t)*t**1*t assuming t is positive.\nAnswer: t**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Suppose h = 7*h - 24. Sort -4\/7, h, s in decreasing order.\nAnswer: h, s, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72899301?\nAnswer: 3, 29, 837923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 4, -1, 424?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 55 - 10. Let a be 72\/(28\/12 - 3). What is the remainder when -5*(a\/10 + 2) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232595889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1532\/3 or -510?\nAnswer: -510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -148, -229, -332, -451?\n\"Answer: z**3 - 20*z**2 - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295105647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Suppose -2*q - l = -13. Is q < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 460*c\/3 - 2275\/3.\nAnswer: -(c + 5)*(c + 455)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3\/11 - 4212*h**2\/11 - 739206*h\/11.\nAnswer: -6*h*(h + 351)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -14. Suppose y*a + 14 = 6*a. Suppose -a*m + 8*m - 40 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 7:18 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17351 - -381649\/22. Let d = 1149\/14 + -82. Calculate the common denominator of s and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/(2\/4). Suppose -l - 4 = -t*l. Let c be ((-5)\/(-2))\/(1\/2). Solve z - 4*i = -3*i + c, -3*z - l*i = -5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = -5, -5*m = 4*x - 28. Suppose -3*u + 3 = -b - 3*b, m*b = -5*u + 5. Suppose 2*j - 1004 - 1756 = b. What is j rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.009 - -1.141. Let g = 0.15 - v. Put 0.1, g, -4\/9 in descending order.\nAnswer: 0.1, -4\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 - 11740\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5987210 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122010020200212 + -102?\nAnswer: -122010020201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p + 200 = 69*p. Solve -p = -4*a - a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:47 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11996 - a6?\nAnswer: -11a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4007.05 and 0.02.\nAnswer: -4007.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(4\/(10 - 2)). Suppose -2*j - 11 = 5*m, 3*j + 2*m - 4 = -2*j. Let r = j - k. Solve -v + 5*f - 3*f = 14, r = 2*v + 4*f - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(1\/8)))\/u)\/u*u)**(1\/3)*(u*u**(2\/13))\/(u**(2\/3)\/u) assuming u is positive.\nAnswer: u**(373\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 + 14 = 0. Suppose 447 = 10*o - 843. Let g = o - 135. Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 9 + 16 + (0 + 0 - 1)*(0 - 1 + 3))*(-3*s + 13*s + 6*s).\nAnswer: 2560*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555408630 to the nearest integer?\nAnswer: 23567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqqmmmmmm. What is prob of picking 2 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 6. Let p = 39 + -26. Let y = p - 115\/9. Which is the nearest to 1? (a) y (b) 3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -98. Let f be (-6)\/9 + t\/6. Let o(r) = 0*r + 0*r - r - r**3 - f*r**2 - 3*r. Calculate o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1\/k*k)\/k)**(3\/28)\/(k**5\/k**4))\/((k\/(k*k**(-1\/2)*k))**(-11)*k**6\/(k\/k**(-6)*k)) assuming k is positive.\nAnswer: k**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (85\/25 + -4)*-75. Suppose -5*w = a - f, -w - 4*a - a + 33 = 0. Solve -2*x = -q - 1, -2*q + 1 = x + w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21\/37 - 9867\/370. Let y = 53\/2 + m. Which is greater: y or 0.09?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) - sqrt(35)\/(sqrt(5)*-2))*-4.\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 109*o + 47*o - 214*o. Let h(y) = 24*y**2. What is h(c(l))?\nAnswer: 80736*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.100877 from 4.\nAnswer: -11.100877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7062 - 91804\/13. Let r = 8 - 4. What is the biggest value in t, r, -4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9656 is divided by 1325?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -28895.\nAnswer: -28894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 49*n - 54*n - 30, -3*a + 46*n = 140*n + 176 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 - 2. Let k(d) be the second derivative of 4*d**4\/3 - 7*d**2\/2 + 6*d. Give -2*k(m) + 7*w(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0252958 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let r(m) = -56900*m**2 - 1274*m. Determine r(t(k)).\nAnswer: -56900*k**2 + 1274*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -309831609 less than -8332.76?\nAnswer: 309823276.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 47*b**6\/60 + b**5\/60 + 5*b**4\/6 - 131*b**2. Find the third derivative of m(w) wrt w.\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215637711217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + c = -l + 3, -4*l = 4*c - 12. Let x = l + 3. Suppose -3 - 9 = -x*t. Sort -1, 3, t.\nAnswer: -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**2 + 2*x**2 + 37327*x**3 + 2097*x - 36226*x**3 wrt x?\nAnswer: 6606*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -227, 332, 889, 1444, 1997?\n\"Answer: -y**2 + 562*y - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 1:59 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/64800 and -197\/5310360?\nAnswer: 106207200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/20)\/((-6)\/12))\/(17802\/(-460)).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**4\/3 + 3640*k**3\/3 - 184795*k**2\/3 - 188440*k\/3 = 0.\nAnswer: -1, 0, 56, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h - 19. Determine r(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 + -118. Calculate the highest common divisor of h and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96859 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/354 and -48\/7.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -415*q**2 + 90*q + 1 wrt q?\nAnswer: -830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (11\/(165\/1090))\/(2\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2001, -11261, -20509, -29739, -38945, -48121, -57261?\n\"Answer: u**3 - 9267*u + 7265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1711*v**5 + 1124*v**2 + 872*v**2 + 6913*v**5 wrt v.\nAnswer: 312120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 3, g: 7, t: 1, s: 2, z: 2}. Give prob of picking 1 z and 1 g.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 26. Suppose -m - f = 9, f + c = 2*m - 4*m. Put 1, -1, m in increasing order.\nAnswer: m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*b**3 + 165*b**3 - 17*b**3.\nAnswer: 234*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*h = -110, -2*u - 35*h = -39*h - 72. What is the remainder when 112 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -1, 2, -89638?\nAnswer: -89638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -253, -330, -357, -334, -261?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 24*x**3 - 28*x**2 - 80*x + 48. Let a be t(-6). Does a = -5663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(210)*1*-5)\/sqrt(10))\/((1*sqrt(726))\/sqrt(2)) + 5)*4.\nAnswer: -20*sqrt(7)\/11 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 12*v**2)*((0*v - 3*v + v)*(-2 + 3 + 1) + 0*v - 4*v + v).\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*170\/(-50) + (-1012)\/(21 + -10).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -107*q + 97. Let v be f(1). Let n(z) = -z**3 - 9*z**2 + 9*z. Give n(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2005*b**2 - 21*b + 4. What are the prime factors of z(1)?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -18 - (-461 - -492)) + (-47 - 1)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-90)\/120 + 41\/44. Suppose 2 = -2*s - v - 1, -2*s = 3*v + 9. Find z such that s*z + 0 - 4\/11*z**3 + a*z**2 + 2\/11*z**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61 from 623383.365.\nAnswer: 623322.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2202 + 2202 = -8*p. Let j = 3.5 - 3. What is the closest to p in -3, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -43831?\nAnswer: -920451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 60. Let n be 30\/(-20)*q\/6. Sort 0, n, 1.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129601 rounded to the nearest 1000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -211, 2\/33, 0.09, 0.2, -2\/11, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 35*p**4\/12 + 5*p**3\/3 - 10*p**2 - 18*p. Let q be f(13). Suppose 137*r = 142*r - q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1921260 and 21\/2561680.\nAnswer: 7685040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3739 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 106 + 12 = 0. What is the remainder when k is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 135*o**2 + 164*o**2 - 474*o**2 + 139*o**2. Let f(v) = -27*v**2. Give f(z(t)).\nAnswer: -34992*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 + -0.4. Let i = 822.1 + -822. Let u = -0.18 + 0.2. Sort u, i, l in decreasing order.\nAnswer: i, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*c - c = -3, -3*j + 2*c = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 45*j + 33. Let c be l(3). Let f = c + -163. Which is bigger: -12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*v**2 - 119*v**2 + 53*v**2 - 74*v**2.\nAnswer: -245*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 4*n**2 - 2*n + 6. Let b be a(4). Let g = b - -4. Suppose -4*q - 10 = 2*w, 3*q - g*q + 6 = 3*w. Is w >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 2*m**2. Let s(c) = -4*c**3 - 5*c**2 + c. Give -2*s(b) - 7*w(b).\nAnswer: b**3 - 4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 964136922 divided by -5?\nAnswer: -964136922\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -112. Let m = 65.7 + g. Let u = m + -6.700039. What is u rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f**2 - 129*f**2 + 40*f**2 + f + 41*f**2.\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(300) + 2 + sqrt(300))**2.\nAnswer: 240*sqrt(3) + 3612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = a - 2, -3*m = 4*a - 26. Let p(l) = 4*l - 16. Let c be p(m). Is 24 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (22 - -1) + 29 + (-8 - 13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1*(-3)\/156). Suppose 3*p - 131 = -5*r, -5*p + 3*p = 4*r - w. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/21 and (-226)\/(-72) + 21\/28.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -499800 by 68.\nAnswer: -7350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 e when three letters picked without replacement from meevn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {c: 1, s: 3, z: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374404777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228)\/133*-2*(2 + 6 - 1 - 14).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*u + 6, -u = -5*w + 28 - 31. Calculate the greatest common factor of u and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zez when three letters picked without replacement from vennnnezzvvzev?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (169*16\/(-1456))\/((-1)\/(-7))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)**(2\/19)*(f\/((f\/(f**4*f))\/f))\/(f*f*(f*f\/((f\/f**(4\/11))\/f))\/f))\/(f*f**(-3\/5)*f\/(f\/f**(-8))*f**(-3\/8)\/(f*f**(-6\/7)*f*f)) assuming f is positive.\nAnswer: f**(740217\/58520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*w = -26, 2 = -4*b + 2*b - 3*w. Let f(g) = 3 - 1 + 2 + g. What are the prime factors of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/240 and -13\/360.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4710)\/9450 - (-7)\/(-70)*-5. Which is the third biggest value? (a) -0.3 (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/18 and (2\/5764)\/((-140)\/10500)?\nAnswer: 25938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 15. Let p be 4\/(60\/9)*5. Solve -3*x = -0*c + p*c + r, -2*x + 2 = -2*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = x - 4*a, 2*a - 4 = 3*x. Solve -5*c + 0*c = x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66606621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 3298982016?\nAnswer: 23092874112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -70308.482 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 12714*x + 76285\/6.\nAnswer: -(x - 76285)*(x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7*i**2 + 8 + 8.\nAnswer: 7*i**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-15) - (-7)\/3. Let p(d) = y + 1 + 2 + d + 2. Calculate p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89150601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16537 + 71481 = 1717*y for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 13.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*8*(-46)\/368?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = 3*z + 3*k, 5*z = -k + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -46*p**2 + 130*p - 949. What is s(8)?\nAnswer: -2853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-4 - 7))\/((-4)\/42). Let s be 3\/(-4) - (-231)\/w. Let -20*r**2 - 9*r**3 + 5*r**3 - 4*r - s*r**3 - 6*r**3 + 20*r**4 + 16*r**5 = 0. What is r?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*d - 2263, 11*k + d - 1139 = 9*k. Let z = k + -132. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let i(t) = 506*t. Calculate k(i(l)).\nAnswer: -1012*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h, 2*u + 0*h + 2*h = 18. Does 9 divide 31 + 0 + 0\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-1 - -3 - 13 - (1777 - 1824))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3803, 3857, 3953, 4097, 4295, 4553?\n\"Answer: a**3 + 15*a**2 + 2*a + 3785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 40 = -26. Let h = g - 7. Suppose 4*z - h = z. Let a(t) = t - 5. What is a(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -217*r**4\/4 + 4*r**3\/3 + r**2 - 2*r - 15. What are the prime factors of p(-1)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 137. Let w = x + -47.048. Round w to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 52 - 49 + 148 + 7*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n + 12 = 58*n + 96 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.206603 litres to millilitres.\nAnswer: 4206.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -332.\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/((sqrt(144)\/sqrt(6))\/sqrt(6)) + 5 + -1*sqrt(2448) + 2*sqrt(17)*2 + sqrt(17).\nAnswer: -6*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109051*q**2 - 104698*q wrt q.\nAnswer: 218102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33165.\nAnswer: 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-27))\/((-104)\/(-36) + -2).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 368, 523, 676, 827, 976, 1123, 1268?\n\"Answer: -h**2 + 158*h + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 (base 10) in base 6?\nAnswer: -1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 8*q - 91 = -9*q - 80, 30 = 5*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-408738)\/(-484)*(33\/(-18) - (-2)\/4). Put b, 2, 2\/19 in decreasing order.\nAnswer: 2, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -0.19 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-517)\/94 + 1 + (-9)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 2. Let y be k(-2). Suppose -y*i + 93 = i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280 - -330. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1452 and 16197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 40*r - 184600. Suppose 22*j = 23*j + r. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 482*x = 46*x - 126*x + 18648 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 2*q)*(3*q - 5*q + 0*q) + 10 - 5*q**2 - 10 + q**2 + 4*q**2 - 3*q**2 + (-3 + 3 + 3*q)*(4*q - q - 2*q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80741 rounded to two decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -427b7 - -129?\nAnswer: -4268a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -33813.\nAnswer: 101439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103325 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3507, -4 in decreasing order.\nAnswer: 1, -1, -4, -3507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2. Let d(i) = -429*i**2 + 22*i. What is d(q(p))?\nAnswer: -21021*p**4 + 154*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2094.638 decades to centuries.\nAnswer: 209.4638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212555 and 21?\nAnswer: 637665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + a = -16, -7*j - 24 = -2*j + a. What is the second smallest value in j, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52217 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 88 + -85?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48*(-57)\/20976)\/((-6)\/4)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c + 21 = 47*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 40662.\nAnswer: 81324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858070 and 198220.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -85, -72, -59, -46?\n\"Answer: 13*g - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*l)*(-2 + 3 - 2) - 3*l + 6*l + 4*l + (-2 + 2 + 1)*(-l - 4*l - l) in the form u*l + v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5292390 is divided by 661544?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j**2 + 3617*j - 9438. Give o(-304).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -732 times 0.1\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59066983 to the nearest integer?\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 1. Let l(f) = -7*f + 3. Let p(d) = 6*l(d) + 22*r(d). Give p(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Let p be s(4). Let q = 15 + -5. Let t = q - p. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114 and -0.3.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1 + 1, 0 = -4*w + 4*v + 148. Find the common denominator of 4 + -2 + ((-55)\/18 - 2) and w\/(-13) + 173\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*w - 8*w**2 - 89*w - 53 - 64*w + 2*w**4 - 48 to the form j*w + l + u*w**2 + x*w**3 + h*w**4 and give l.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 216\/(-1188) + (-1362)\/11. Sort 0, -3, d, 1, -2 in descending order.\nAnswer: 1, 0, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00789033021 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffwy when four letters picked without replacement from nnnnnwfffnnyyywyyww?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46891 - -2.\nAnswer: 46893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:33 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 4*s**2 - s - 1. Let m be i(-4). Let n = 305 + -8844\/29. Let x = n + 18\/319. Which is the nearest to 2\/7? (a) m (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 16. Let c be (-4)\/(80\/12)*b. Solve -4*o - c = -7*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149 - 149 - 13*s + s - 3 + 3 + (1 - 1 + 2*s)*(-1 - 1 + 0) + 2*s + 2*s - 2*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 92\/16 + 1\/4. Let a = 3 + t. What is the lowest common multiple of a and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**28\/(s\/s**(-3\/8)))**(-2\/41) assuming s is positive.\nAnswer: s**(-213\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/(-1792)*((-60)\/(-9))\/5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7*u - 3*u - 66, 5*u = -5*j + 105. Put j, -3\/7, -0.6 in increasing order.\nAnswer: -0.6, -3\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = i - 102, 2*q = 3*i - 274. Let s(p) = -7*p - 4. Let f be s(-4). Calculate the remainder when i is divided by (2 - 1)*f + 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*i + 432. Suppose q - 2*u = 39, -2*q + 5*u + 11 = -i. Suppose a - q = 2. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68150 is divided by 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 18 = 4*o. Find the second derivative of -165 - 43*i**2 + 3*i + 2*i**o + 163 - 7*i wrt i.\nAnswer: 12*i - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.6 - -12.7. What is the second smallest value in 0.4, 0.8, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) -2 (b) -0.1 (c) 15\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 13523, 2, 44, -4 in descending order.\nAnswer: 13523, 44, 2, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((-4)\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 4, 0.03, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7222096 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -453 - -896. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 - 3. Let k(z) be the third derivative of z**5\/15 + z**3\/3 + 3*z**2. Let c(t) = -4*k(t) - 3*o(t). Let g(j) = -3*j**2 + 4. Give -4*c(y) + g(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + 1*sqrt(567))**2*-2 + -1 + (sqrt(847) - -4*(sqrt(847) + 0)) + 0 + (sqrt(847) + sqrt(847) + -1 + sqrt(847))**2.\nAnswer: 277*sqrt(7) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*n + 215*n - 46*n = 11049 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 62, 63, 64, 65?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3960 and 99.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -109, -143, -159, -151?\n\"Answer: p**3 - 53*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 4*s + 88 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 32 = 0, 2*i + 3*i + 145*m + 147*m + 39 = 284*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -1.21, -1, 0.5, 276, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/((-1)\/8*8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -15*c - 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(4\/6 - 1). Let w = -59 + 53. Let d be (h + w)\/((-6)\/(-4)). Solve d*u - 10 + 0 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -170*a**3 - 4*a + 7. Let r(o) = 168*o**3 + 5*o - 7. Let v(f) = -5*m(f) - 4*r(f). Find the first derivative of v(u) wrt u.\nAnswer: 534*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 8. Let q be 1 - m - 7\/3. Find o, given that -q*o**2 + 4\/3*o - 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 953427357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -581\/104 + 58\/13. Calculate the common denominator of o and 39\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57294419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.00565, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13336978\/183 or 72881?\nAnswer: 13336978\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 + 2*a + 1. Let x be p(-4). Let j(d) = 5*d**2 - 5*d**2 + d - 9*d + d**2. List the prime factors of j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16790285 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -602 + 892. Is 25 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71788 and 18693376?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1024*a - 1070*a + 286994. What are the prime factors of a?\nAnswer: 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -144515303 (base 6) to base 14\nAnswer: -58b395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 10. Let g(v) = 7*v**2 + 1. Let s be g(y). Is 20 a factor of 1\/1 - (1 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157622*g - 24*g**2 - 157622*g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-15\/8)*r)\/r*r\/(r*r**26))\/(((r\/r**(-3\/2)*r)\/r)\/(r**(6\/11)*r)))**12 assuming r is positive.\nAnswer: r**(-7083\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((7\/(-455))\/(5\/(-25)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2972 + 1572. What is p rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 291*o + 1765. Let z be (7*1)\/(1\/3). Let i = 113 - z. Calculate the remainder when i is divided by f(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*c + 34. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8363\/9 + 929. What is the closest to l in -3\/7, -3, -4, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**3 + 14*q**2 - 14*q + 14. Let c(o) = -o**2 + o - 1. Let x(d) = 8*d - 82. Let h be x(10). What is h*j(g) - 28*c(g)?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-4 - -5) + 8 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 77. Calculate the remainder when (27\/(-36))\/(((-2)\/(-128))\/c) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33782343 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*v**2 - 12*v + 194468.\nAnswer: -278*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 - -78. Let w be (i\/(-10))\/(3\/6). Let p = w + -26. Put 5, 2, p in descending order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*4658\/(-306) + 8\/36?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581602 is divided by 923.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -2\/5 (c) 40 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 8:01 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1065 and 4155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59689*f**4 + 51*f**2 + 219*f wrt f?\nAnswer: 1432536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6714722 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 3, r: 2, e: 4}. Give prob of sequence ier.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u = 15. Suppose 0 = u*i - 17 - 4. Solve 1 = q + 2*r + 2, -2*r = -5*q + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2495756 + 77?\nAnswer: 2495811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -848*s + 384. What is the thousands digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s**2 + 2*s)*(s - 5*s + 2*s) - 2*s**3 + 5*s**3 - 2*s**3 + (-18 - 59*s - 60*s + 120*s)*(-s**2 + 0 + 0) - 5*s + 2*s**3 + 5*s.\nAnswer: 6*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g**3 + 16*g. Suppose 0 = -8*f + 9*f - 5. Let o(v) = 6*v**3 + 5*v. Give f*y(x) - 16*o(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x. Solve -f + 1 = -x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -857, -319, 219?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18423*l**3*n*r**2*x + 2*l**3*n*r**2 + 27*l**3*n*r + 107*l**3*n + l**3*r**2*x - l**2*n - 3*l**2*r**2 with respect to x.\nAnswer: 18423*l**3*n*r**2 + l**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318 and 12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15*t**2 - t + 2. Suppose -11 = 2*h + 5*a - 2, 0 = -5*h - 5*a. Suppose 5 = -4*j - h. Let f be m(j). What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77700000 rounded to the nearest 1000000?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v - 1. Let c be (1 - 12\/9) + 546\/18. Let i(q) = -18*q**2 - 15*q - 15. Give c*b(m) - 2*i(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d*d**2)**(9\/4) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -6, 0 in descending order.\nAnswer: 4, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 11*m + 2. Let z(d) = 5*d**2 - 10*d - 3. Let t(j) = -3*s(j) - 2*z(j). Let x(i) = -i**2 + 4*i. Calculate 2*t(r) + 7*x(r).\nAnswer: -3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a + 16*a**2 + 107*a**2 + 59*a**2 - 10*a.\nAnswer: 182*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*m. Suppose m*z + 577943 = -2422057. What is z rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1785 - (3\/(-7) + 22\/(-14)). Let o = c - -546. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*q**2 + 29*q**2 - 7867*q**3 + 32*q**2.\nAnswer: -7867*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 29 - 35. Let c(k) = 176*k + 56. What is the tens digit of c(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 997, 7035, 23247, 54721, 106545, 183807, 291595, 434997?\n\"Answer: 848*w**3 - w**2 + 105*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i - 14. Let g(m) = m**3 - m**2 + 1. Let j(q) = 3*q**3 - 10*q**2 + 7*q + 4. Let c = -37 - -36. Let r(t) = c*j(t) + 4*g(t). What is r(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5. Let h = -24 - s. Let c = h + 40. What is the remainder when 49 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 704298, 1408612, 2112926?\n\"Answer: 704314*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -873 - -1232. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 4*k**2 + k - 9. Give h(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v + 15 = 3*c + 31*v, 3*v = -c + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, n: 3, r: 3}. What is prob of picking 1 n and 1 o?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312819091 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3103996.2 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = z + 40. Let i = -405 - -355. Let x = i + z. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*(-10)\/(-15) + 2. Let h(x) = x**2 + 4*x - 6. Let m be h(-6). What is the second derivative of -w + m*p**3 - 140*p + 1 + 142*p wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169 or -1\/5353?\nAnswer: -1\/5353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3\/2, -5, 4, 778\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 1)*(10 + 4 - f**2 + 2*f**2) as n*f + p + j*f**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.03 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - 8 = 0. Suppose -x + s*x = 0. Let z(p) = p + 2 - 9 + x. Calculate z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a*a**(-3))))\/a**6*(a**(-2\/3))**(10\/3) assuming a is positive.\nAnswer: a**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/3))**40 assuming z is positive.\nAnswer: z**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -63. Let a be (-7)\/(28\/(-8)) + -2. Solve k*u = -a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2255746964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2412 - 103?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 3*f + 3. Let v(q) = -4*q**2 + 8*q + 8. Suppose 0 = 18*a - 72 - 72. Determine a*n(j) - 3*v(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 13413*f**2 - 13413*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 4. Calculate x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 3. Let t be y(11). Let q be t\/(-8) + 1 + 1. Let 2 + 3*k**2 - 4*k - 6 + 2*k + q = 0. What is k?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3 - -32) + -7274 + 7316?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625863197 a multiple of 3812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8*6.1.\nAnswer: 41.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*a = 26308, -2*a = -4*v + 7348 + 13694. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1839, -2772, -3707, -4644, -5583, -6524, -7467?\n\"Answer: -s**2 - 930*s - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74190 and 9390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 + 27*w - 27*w)*(0*w**3 - 3*w**3 + w**3) + 0*w**5 + 0*w**5 + 2*w**5 + 0*w - w**5 + 0*w + (2*w**4 - w**4 - 3*w**4)*(-3*w - 2*w + 3*w).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = -12. Suppose 4*p - h*g = 5, -3*p + 0*g + g = -10. Suppose p*f + 35 - 160 = 0. Calculate the remainder when 72 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 15 + 18)*(0*i + 0*i + 2*i)*(i + 2 - 2) to the form a + k*i**2 + c*i and give k.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 3*k + 3. Let v be b(-3). What is the units digit of (-3 + 2)\/(v\/(-156))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 500748384 by -6.\nAnswer: -83458064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 69911.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 53957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h + 27. Let o = 35 + h. Let n = 23 - 5. What is the lowest common multiple of o and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -2 + 1\/2*j**2 + 0*j. Let y(q) be the first derivative of -5*q**3\/3 - 42. Give d(y(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11767 and 1204?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7 = -3. Factor -6 + 3*d**2 - 9*d + 3*d**2 - x*d**2 - 7*d**2.\nAnswer: -3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.007 - -0.007. Let q = -1.7 - -2. Suppose -5*t = 3*s, -5*t - s = -2*t. Which is the third smallest value? (a) q (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -20*p - 350. What is x(-17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232471, 232469, 232467, 232465, 232463?\nAnswer: 232461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*q**2 + 2*c**3*q + c**2*q**2 + 87203*c**2*q - 2*c**2 + 7*c*q**2 + 405*q**2 wrt q?\nAnswer: 2*c**3 + 2*c**2 + 14*c + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212042289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5165 + -5167. Sort y, 1\/324, 3.\nAnswer: y, 1\/324, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228*m*z**5 + 26*m*z**3 - 2405*m*z - 2*z**2 + 25 wrt z?\nAnswer: 4560*m*z**3 + 156*m*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 264*b**2 + 8442*b + 17956.\nAnswer: 2*(b - 67)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -524*q**3 + 10*q**2 - 5*q - 4. Let p(z) = 4*z**3 - 2*z**2 + 2*z + 1. Determine -5*p(c) - u(c).\nAnswer: 504*c**3 - 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42551566 smaller than 42551565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**7\/840 + p**5\/30 - p**2. Let w(i) be the third derivative of x(i). Let o(g) = -g. Give o(w(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27552.321 months in centuries?\nAnswer: 22.9602675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 8732 - 8864 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119545551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*p + 552 = -5*p, -5*p = 0. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7703 is divided by 1529?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/4 (c) 0.1 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -598.\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 30*a + 117. Let d be i(8). Calculate the greatest common factor of d and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -28*k - 17. Let f(x) = -20*x - 12. Let z(g) = 17*f(g) - 12*v(g). Let p(s) = 183*s**2 + s. Calculate p(z(i)).\nAnswer: 2928*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-19)\/(19\/2) + 290\/28 and 61\/88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 1 - (134 - 128) - 18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 6*x - 4. Let u be q(-5). Let p(v) be the third derivative of -v**6\/20 + v**5\/60 + 36*v**2. Calculate p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c + 120 = 39*c. Solve 5*z + c = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-4 - -4) - ((93 - 44) + -52).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 17*o + 45. Calculate the remainder when 48 is divided by c(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/21 + (31 - 41))\/(6\/56)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53248\/7 + 2880\/7*x**2 - 20992\/7*x + 2\/7*x**4 - 152\/7*x**3.\nAnswer: 2*(x - 52)*(x - 8)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose 5 = 5*f + 6*q - a*q, 2*q = 4*f + 22. Let i = 437.4 - 437.4. Sort i, 3, f, 3\/4 in ascending order.\nAnswer: f, i, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.1. Let r be 9\/30*-2*-10. Suppose r = 7*z - 4*z. What is the closest to n in z, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64 + 21 - 6*t**5 - 750*t**3 + 9*t**5 + 95 - 8*t**5 - 725*t + 200*t**4 + 1100*t**2.\nAnswer: -5*(t - 36)*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6+-4273133\nAnswer: -4273131.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105558.39 minutes to days.\nAnswer: 73.3044375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36850 - -57639. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(1 + 0)*-3. Suppose -4 = 2*i - 2*n, 2*n - 6*n + 8 = v*i. Let t = 5321.2 - 5321. Which is the closest to 1? (a) 1 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/300 and 41\/111360.\nAnswer: 556800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 107*k + 7. Give x(27).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14753 - -27?\nAnswer: 14781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 6*x**2 - 7*x - 14. Let u be k(-7). Suppose -26*g = -22*g - u. What is the remainder when 39 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 + 325.996. Let j = s + 0.004. Which is the nearest to -1? (a) -0.3 (b) 15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5436 divided by 1428?\nAnswer: -453\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1561 (base 10) to base 12.\nAnswer: -aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 10111?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**3 - 9*l. Let o(z) = 397*z + 2*z**3 - 5*z**3 - 398*z + 4*z**3. Let y be -2 + 3 + 9\/(-3). Calculate y*k(m) + 18*o(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 4 = 3*n + 23, -n - 3*n + 4*q - 10 = 26 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + 1 - -65. Let u = 84 - w. Calculate the remainder when 98 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1071 (base 9) to base 5\nAnswer: -11133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 123\/6 - (-84 + 104).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 15*m**2 + 28*m**2. Let r(i) = 51*i**2. Determine r(d(v)).\nAnswer: 7344*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*b + 8, -5*k - 7 + 2 = -4*b. Suppose -32*n - 3*i = -31*n - 11, -i - 13 = -3*n. Solve -n*z - 5*q + 10 = 0, -3*q + 1 = -b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10891, 1\/7, 0, 0.352 in decreasing order.\nAnswer: 10891, 0.352, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6910 = z, 4*z + 938 = 2*l + 3724. Let w = 2302 + l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -653, -861, -1069?\n\"Answer: -208*g - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9530.4 - -9530.4. Let x = 9 - 4. Which is the fourth biggest value? (a) -4 (b) r (c) 0.01 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 10, -732.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.038 and -1945?\nAnswer: 1945.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-78))\/(21\/27*(-177)\/(-413))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-78))\/((51 + -50)*(-9)\/27)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046351 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129*f**5 - 2*f**3 - 460*f?\nAnswer: 2580*f**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 562, 3, 1 in ascending order.\nAnswer: -2, 1, 3, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 0.37.\nAnswer: -4.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 - 298 - (0 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123273, 123393, 123513, 123633, 123753?\n\"Answer: 120*f + 123153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 1. Let z be d(1). Let r = -2 - z. Which is the biggest value? (a) r (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 865, -1, -2, 8, -47 in decreasing order.\nAnswer: 865, 8, -1, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 10 - 12)\/(13 - 1155\/88)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22976244?\nAnswer: 2, 3, 19, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.76 and -27349610.\nAnswer: -27349619.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2\/7, -0.4, 398?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 2, w: 3, v: 6, q: 4}. Give prob of picking 1 w and 1 q.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 49 - 9. Solve 2*h - 5*p = i, 3*p + 2*p + 10 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 16. Let m be c(9). Let w = m + 53. Let h = -1451 + 1462. Calculate the remainder when w is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**8\/84 - 2*c**7\/35 + c**6\/30 + c**5\/5 - c**4\/3 + 893*c**2. Factor g(p).\nAnswer: 4*p*(p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 plus 290641?\nAnswer: 290717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1496022 and 83\/71580.\nAnswer: 14960220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x + 11. Let v be (-33)\/132 - (-2)\/8. Calculate u(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 + 3*l**2)*(-4*l**2 - 5*l**2 - 4*l**2).\nAnswer: -39*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 295126469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(1 - 6 - 1)*(-11*u + 8*u + 9*u) as x + r*u and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12508*u*x**4 + 3037613*u - 76*x**4 wrt x?\nAnswer: 50032*u*x**3 - 304*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 30 - 7. Suppose b = 5*w - 4*z, -10*w - 3 = -9*w + 3*z. Solve 2*d = d - w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-16))\/(241\/((-5018584)\/2055))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125008?\nAnswer: 2, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (788 + 881 - 487)*(2*q**4 - q**4 + q**4)*(-2 + 1 - 1)*(-3 + 2 + 2) in the form w*q**4 + m*q**2 + o*q**3 + f + d*q and give w.\nAnswer: -4728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -4804.\nAnswer: -4805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -1\/3*s**3 + 0*s**2 + 1\/2*s**6 + 0*s - 7 + 0*s**4 + 0*s**5. Find the third derivative of i(r) wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100000100010?\nAnswer: -100000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3267, -6522, -9779, -13038, -16299?\n\"Answer: -c**2 - 3252*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*q + 5, -2*v + 4 = 3*v - 2*q. Suppose -v*h - 33 = -5*h. Let g = h - 6. Solve -g*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -19. Let x = t + -24. Let l = -4.8 - -5. Which is bigger: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -31*c + 172. Let z be w(6). What is the remainder when 29 is divided by -13 + (-1310)\/(-70) - 4\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkjoopkkjkk?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + 12*l + 4. Let b(m) = 7*m**2 + 14*m + 4. Let s(x) = -5*b(x) + 6*h(x). Give s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34500003 = -3*p - 3*f, 5*f + 4 = -1. What is p rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 4)*(-r**2 + 3*r**2 + 0*r**2 + (-3*r + r + 0*r)*(3*r + 4*r - 6*r) - 3*r**2 - 2*r**2 + 6*r**2).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10319268?\nAnswer: 2, 3, 859939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -180206.616 rounded to the nearest ten?\nAnswer: -180210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12*0*2\/(-6). Round i to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*o - 8 + 1, 5*h - 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/40 and 12\/11.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6 and -73\/35816?\nAnswer: 107448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*m*r*s**3 - 18*m*s - 2*r*s**2 - 2*s**3 + 49 wrt m?\nAnswer: -65*r*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 10 - 30. Suppose -37 + 9 = f*y. Let s(b) = -b + 4. Let c be s(y). Solve c = -5*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-60) + ((-1)\/(-3))\/1. Put y, 0.1, 1, 0 in decreasing order.\nAnswer: 1, y, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5 - 162*c + 216*c**2 + 40*c**3 + 24*c**4 - 91*c**3 - 57*c**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*l + 31*l - 2*l**3 + 447*l**2 - 448*l**2 as r*l**3 + c*l**2 + q + x*l and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 217 = -333 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3194*r - 6455. Calculate a(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 1\/54 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + -5)*2\/(-4) - -8. Let f be g + (-8)\/4 + -3. What is the hundreds digit of (1 - f)\/(-2 - 291\/(-145))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + -1 - -2 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.966 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 5, -3\/4, 0.5 in decreasing order.\nAnswer: 10, 5, 0.5, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 0*y - 5*y + (-1 + 5 - 3)*(-3*y - 4*y + 5*y) - 125 - 3*y + 145 + y.\nAnswer: -6*y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*p + 3 = 2, -p = -3*y - 16. Let g(c) = -c**2 - 10*c - 9. Let k be g(y). Solve -4*j = i + i - k, -5*j + 14 = 3*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -642\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(1\/1)*61667\/69190374.\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 3*s. Put 4, 2, s, -3 in descending order.\nAnswer: 4, 2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40784212 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 13*y + 5. Let c be v(-13). Solve -4 = -9*d + c*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801452 is divided by 283?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -951, -10, 3, -5 in increasing order.\nAnswer: -951, -10, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5025 and 2250?\nAnswer: 150750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423301820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13844 = 3*i - 847. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 198*o**4 - 5952*o**3 + 16638*o**2 - 16227*o + 5340.\nAnswer: 3*(o - 20)*(o - 1)**3*(o + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jngjjjjggggjnjg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 14. Which is the closest to 0.1? (a) -1\/9 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13b7 + 4?\nAnswer: 13bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 3*c - 8*c - 2*a, 2*a = -c - 29. Let z = c - -32. Let w = z + 6. Solve -l + w = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.96761ug in tonnes?\nAnswer: 0.00000000000796761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 30673\nAnswer: 30\/30673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 0*u**2 + 0 + 0*u**4 + 0*u**5 - 1\/2*u**6 - 5\/2*u**3 - 10*u. What is the second derivative of z(w) wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 53*l + 89. Let w be z(22). Let m = w - 373. Put -3, 4, m, 0 in ascending order.\nAnswer: -3, 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/15 - 686*v**3\/5 + 9024*v**2\/5 - 20888*v\/15 - 16672\/5 = 0.\nAnswer: -1042, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(-4*17\/(-1428))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505907?\nAnswer: 505907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 34 = -b, -4*b - q + 111 = 2*q. What is the smallest common multiple of b and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + o**2 + 4*o**2. Let r(m) be the third derivative of -m**5\/60 - 3*m**2. Determine z(r(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + 28. Determine m(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11354837.\nAnswer: 13, 19, 45971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = i, 4*n + 0 - 4 = 2*i. Suppose -2*l = 10 - 2, -4*a = -5*l - 52. Calculate the greatest common divisor of a and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8.3. Let j = 28.7 - m. Let o = j - 28.00008. What is o rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689603 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5427*-4066.\nAnswer: -6272.6182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167486.\nAnswer: 2, 11, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flq when three letters picked without replacement from ofdolloddtttqq?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-193*q + 98*q - 6 + 100*q)*(4 + 0 + 2) to k + p*q and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2618 by 374.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 12*w**2 - 12*w + 10. What is the tens digit of z(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(3 - (-35)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/1*3)\/(6\/(-8)). Let p be ((-15)\/(-6))\/(j\/1992). What is p rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 6*j**2 - 2*j - 5. Let r be u(-4). Suppose -m = -6*m + r. Let p(w) = 4*w - 5*w - 7 - 9*w + 3*w - w + w**2. What is p(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*h = -27760 + 24966 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -379 smaller than -386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -36*k + 39*k. Suppose -k*s - 6*s = -1200. Let r be s\/1155 + (-8)\/44. Which is the nearest to 0? (a) r (b) -0.4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d + 136*d**2 + 33 + 91*d**2 - 33 - 56*d**2 to y + g*d + t*d**2 and give t.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*g = -199*g - 193*g + 462 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19595530 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = -4*q + 5*h + 160, -q - 9 - 39 = -9*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995970200 a multiple of 6200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -308, -2, -5 in increasing order.\nAnswer: -308, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 8*j**2 + 2*j + 4. Let i(d) = -3*d**3 + 17*d**2 + 5*d + 8. Let s = 3 + -8. Let y(z) = s*m(z) + 2*i(z). Let c be y(-6). Are c and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/127 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:44 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -81, -120, -157?\n\"Answer: w**2 - 44*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:31 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 - 146. Which is the biggest value? (a) -0.1 (b) r (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 4*v + 1. Let h(f) = f**2 + f. Determine 2*h(n) - w(n).\nAnswer: -4*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 6*u**2 - 5*u. Let t be i(5). Suppose q + 0*q = 2, -a + 3*q + 11 = t. Suppose -3*k + o + a = 0, k + 2*k - 16 = 2*o. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 18*w - 5*w - 12*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 - 2*y - 2. Let o be r(-2). Let q be o + (-2 - -3) - -1. Suppose -202 = -4*z - 8*w + 3*w, 0 = q*z + 3*w - 206. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 1 - 16. Solve -n = -0*a + 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 655*x**2 - 22535*x + 22535*x - 655*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 - -174. Suppose -10152 = -2*d + 4*s - b*s, 3*d + 5*s = 15226. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 0 - (-5 + 5). Let n(j) = -3*j + 7. List the prime factors of n(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*o = -20, 2*q - q = 2*o + 8. Suppose 382*l - 416*l + 34 = 0. Solve -2*v + l = -1, -3*u + 3*v = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/35, -12, -0.2 in decreasing order.\nAnswer: 27\/35, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 9:10 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 7*j - 3. Suppose -a + 4 = a. Suppose -a*p + 0 = -4*v - 26, -5*p + 4*v = -35. Suppose -4*u = 6 - 26, p*u = -2*k + 27. What is y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/2)\/(-1 + -1). Suppose 5*m - 3*t - 2*t + 10 = q, -m - 3*t + 6 = 0. Let z = 1 - -1. Solve f - z*s + 2 = m, 2*s = -0*s + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x + 7703 - 151559 = 0. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -566b - -b?\nAnswer: -5660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 6*q - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/81 (b) 548 (c) 23 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -257*z**7\/42 - 469*z**3\/2 - z**2\/2 - 1944*z. What is the second derivative of y(u) wrt u?\nAnswer: -5140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-34)\/(-2508) - 1978\/(-18791).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/h**(-5)*h**(2\/9)\/(h\/h**(-2)))**(3\/4))**(1\/7) assuming h is positive.\nAnswer: h**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/32052480?\nAnswer: -7\/32052480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49959\/16 at most as big as 3121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004201104367 to 6 decimal places.\nAnswer: 0.004201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * 0.21.\nAnswer: -11.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -25*t + 5304. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/415 + 1051\/7055. Let b(h) be the first derivative of -12 - 2\/51*h**3 + r*h**2 - 2\/17*h. Factor b(t).\nAnswer: -2*(t - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -150, 2133, 8336, 20421, 40350, 70085, 111588?\n\"Answer: 327*g**3 - 2*g**2 - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.2, -0.11, 5\/2, 5207?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 m when four letters picked without replacement from ffccfmmcfc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/460362 and 95\/6216?\nAnswer: 68133576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -599, -1.\nAnswer: -599, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, g: 6, e: 5, w: 1}. Give prob of picking 1 u and 1 e.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-46) + (-2220)\/(-888)\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615576.5 millilitres to litres.\nAnswer: 615.5765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - (-7 + (16 - 5) - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 728295624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134337411 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863502.8 millilitres to litres.\nAnswer: 863.5028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(3)*-2 + sqrt(30) - sqrt(480)*1)\/((sqrt(2430) - -1*sqrt(2430))\/(1*sqrt(243) + sqrt(243))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1582 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 297 = 138. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-6 + 0 - (-4 + (-12 - (-4 + -8)))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(33\/45)*2\/6. Suppose -k*b + 148 = y, 4*b = 2*y + 3*y - 769. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 18981, 11, -0.3, 4 in ascending order.\nAnswer: -3, -0.3, 0.1, 4, 11, 18981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*u + 108440*i + 36819*u wrt i.\nAnswer: -2*u + 108440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:56 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 2*y**3 - y**3)*(-2 + 4 - 3)*(y - 3*y + 3*y + (0 + 0 + 2)*(-y + 5*y - 2*y) - 5 + 4 - 54*y + 59*y).\nAnswer: -10*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*m - 39 = 0, -3*l + m + 24 = -15. Let v = -1 + l. Let j = -4 + v. Solve -3*b = b + j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 7557.\nAnswer: 1\/2519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b + 2*b)*(-32*b + 91 + 15*b + 18*b).\nAnswer: -2*b**2 - 182*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -647583, -1295100, -1942617, -2590134?\nAnswer: -3237651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 13. Let i(g) = -6*g**3 + g. Let l be i(-1). Let t be a(l). Is -6 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**9\/504 + t**5\/12 - 5*t**2\/2 - 2*t. Let k(p) be the first derivative of v(p). Find the third derivative of k(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293381918 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240 + -3?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 140301 = 19*w. Suppose -6233 = -t + w. Round t to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5695.\nAnswer: 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - 3.6. Let d = i + 7. Put -2\/15, 1\/4, d in increasing order.\nAnswer: -2\/15, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 860 - 859. Let q(h) = h. Let d(z) = 2*z**2 - 6*z. Let w = -22 + 23. What is v*q(m) + w*d(m)?\nAnswer: 2*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 8770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 10:16 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/36)\/((-28)\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -35*h**3 + 2*h**2 - 4*h + 60. Let o(s) = -s**5 + s**3 + s**2. Let u(a) = 2*o(a) - y(a). Find the second derivative of u(l) wrt l.\nAnswer: -40*l**3 + 222*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/60 + c**5\/15 + 24*c**2. Suppose f(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b - 10?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l + 1. Let x be c(1). Suppose x*z - 36 = -4*z. What is the common denominator of -37\/8 and (27\/(-10))\/(z\/(-39))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 0*m + 0*m**2 + 0*m**3 + 2 - 3\/4*m**4 - 1\/2*m**6 - 6\/5*m**5. Factor u(b).\nAnswer: -3*b**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1545*f**3*n**3 - 68311*f**3 + 38*n**4 - n**2 wrt n?\nAnswer: 9270*f**3 + 912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (5 - 11 - -3 - -12) - 4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 h, and 1 p when four letters picked without replacement from {p: 1, t: 1, m: 2, h: 5, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((24\/28 - 533\/(-546)) + 5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m - 1. Let p be r(0). Is -2\/13 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7482 and 41006.\nAnswer: 5289774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - z**5 + z**5 - 2*z**5 - 5*z**5 + 2*z**5 + (3*z**2 + z**2 - 3*z**2)*(-z**3 + 0*z**3 + 0*z**3).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(7 + -4)*(-12)\/(-8). Let c be ((-3)\/(j\/2))\/((-54)\/(-405)). Solve c = 2*v - 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 537 + 182. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.187881 times -0.2?\nAnswer: 0.0375762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q**2 + 3*q + 9. Let l(y) = -9*y**2 + 2*y + 5. What is 4*d(h) - 7*l(h)?\nAnswer: -5*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013791329 + 15.\nAnswer: 14.986208671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457501.\nAnswer: 11, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173088 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4. Let l(k) = -k + 6. Let q be l(9). Let r be v(q). Suppose d + r = 2*d. Solve 0 = -d*m + 2*c + 10, 1 - 6 = c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43895\/2993639*22\/15.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 29516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((5\/(-6))\/(-5))\/(294\/196). Which is the nearest to -0.9? (a) v (b) -1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 2*q + 5. Let m be f(3). Sort m, 0, -1.\nAnswer: m, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -16*n + 1. Suppose -21*p = -16*p + 10. Let v be k(p). Suppose 5*j + 8 = v. Solve w + 3*w - d = -15, -w - d - j = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1964448 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 20*z**2 - 6*z + 2. Let g be x(-6). Let m = 9 + -4. Suppose 5*w = -3*j + g, -m*w - 2*j = -0*w - 762. What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85923986.\nAnswer: 2, 193, 222601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcggughg. What is prob of picking 1 g and 1 u?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 217 + 136 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2\/(-3)) + 7. Let t(o) = -o + 5*o - f*o - 3*o. Let x(j) = 4*j**2 - 2. Let l(y) = -5*y**2 + 3. Let s(i) = 4*l(i) + 6*x(i). What is t(s(g))?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 18*t**2 - 46*t + 15. Let a be o(15). Suppose a = -21*b + 11*b + 11*b. Solve n = -3*v - 6, b = 4*n - 0*v - 4*v - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -3195910?\nAnswer: -3195910.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -540 - -881. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + v = -848. What are the prime factors of v?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2839, 5690, 8545, 11404, 14267, 17134, 20005?\n\"Answer: 2*l**2 + 2845*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, n: 8}. Give prob of picking 2 n and 1 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*y - 35*y**2 + 119*y**2 - 51*y + 14*y**2 + 77*y**2.\nAnswer: 175*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 932230 and 939614.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.03852*-287378\nAnswer: 11069.80056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123\/4 - -823\/24. Let h = -25\/6 + o. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169348 - 62893 = 15*w. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, c: 3, j: 2}. Give prob of picking 1 c and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(180) + 5.\nAnswer: -18*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2347 - 2332. What is the remainder when 40 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Let b(t) = -3*t**2 - 5*t - 1. Let a(s) = -2*s**2 - 6*s - 2. Let x(m) = n*a(m) - 3*b(m). List the prime factors of x(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 277*j + 76729\/2.\nAnswer: (j + 277)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-99)\/(-36) - (-1)\/4. Suppose 4*l - u*j = 1 + 7, -6 = -3*l - 5*j. Suppose -155*p = -159*p + 20. Solve -l*o = -p*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 708438\/17 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 50.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100110001011110 (base 2) to base 12.\nAnswer: 412a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/63 + 2480\/144. Put 8, -5, d, 4 in descending order.\nAnswer: d, 8, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177*-17427\nAnswer: -3084579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*x = -5, -2*j + 2*x = x + 11. Let b be -3 + 86\/(3*j\/(-12)). Let z = -52 + b. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497061 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277292 is divided by 2475.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 44435*l.\nAnswer: 5*l*(l + 8887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3*y*y)\/y)**12*(y\/(y*y**(-4)*y))\/y**(-6\/7) assuming y is positive.\nAnswer: y**(447\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.216803 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 f, and 1 l when four letters picked without replacement from {y: 2, k: 1, f: 5, l: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 367 - 174 - 136 + 4*t as n*t + a and give a.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33697*g = -33678*g - 68884253. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28511, -29475, -30439, -31403, -32367?\nAnswer: -33331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -c448a2 (base 14) to base 16\nAnswer: -65044e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(-75)\/60 - 10. Put f, -8, -30 in ascending order.\nAnswer: -30, -8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 18*l**2 + 21*l - 178. Is x(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f*f)\/f*f**(-2\/17)*f*(f*f**(-3\/4)\/f)\/f*f**(1\/4) assuming f is positive.\nAnswer: f**(-29\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 11) in base 13?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12662 - -13589. Calculate the lowest common multiple of y and 2163.\nAnswer: 6489","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -3*r + 2*d, -r + 2*d = -3. Are -1\/55 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1342*n - 659*n - 890*n.\nAnswer: -207*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(2 + 6\/(-15)). Let t(x) = -2 + 10 + 0 - 2 + o*x. List the prime factors of t(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -7\/2, 6 in decreasing order.\nAnswer: 6, -0.4, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + 0.11. Which is the closest to 0? (a) 6 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(sqrt(175) - (sqrt(175) + 1)))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.0744 - -0.0744. What is the second biggest value in j, 0.4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.194?\nAnswer: 0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 20 + -13 + (2 + 4 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 943303 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/37224084 and 33\/56.\nAnswer: 521137176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10312000 (base 4) in base 13?\nAnswer: -9052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 772*g**4 - 41*g**3 + 15*g**2 - 24421954.\nAnswer: 3088*g**3 - 123*g**2 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 11 = 4*v. Suppose 15 = -v*p + 5*p. Solve -3*x = -p*n + 23, -4*n + 14 = -2*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 4)*(-3 + 0 + 1) + 3 + 4 - 4 + (1 - 1 + 2)*(4 - 4 - 3))*(7*n - 4*n + 12*n) + 16 - 16 + 6*n.\nAnswer: -99*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/24*(-3)\/(-5). Which is the second biggest value? (a) 4 (b) 1\/4 (c) n (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 6524 = 5*k - 8942. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -0.3, 4, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05334232434 to three decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -3*f**4 + 17*f**2\/2 + 9*f. What is the derivative of u(o) wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314 at least 43956\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9060 - 4878 = -119*m - 4505 for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -5be455?\nAnswer: 5be455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*j = -22, 4*l + 0*j = -4*j - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -19. Let g = 5 + p. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*x + 907*x + 27*x**3 + 925*x**2 + 88*x**3 + 295*x + 460*x**2 + 55 = 0. What is x?\nAnswer: -11, -1, -1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 0, 32, -1099 in ascending order.\nAnswer: -1099, -15, 0, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + u - 2*u)*(u + 16*u**2 + 788*u**2 - 123*u**2 + 328*u**2) to n*u**2 + c*u**3 + o*u + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 + -11)*-6*2\/(-16). Let k be 0 + (0\/(-1) - -1). Let n be (-2)\/(-2) + k + 0. Solve o = l*o + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7975\/(-1050) - (-2)\/12)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111*g - 26 + 967 = 5698 + 3020 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/9 - 20*a**2\/9 + 2*a\/9 + 20\/9 = 0. Calculate a.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, g: 3, b: 1, k: 1}. What is prob of picking 1 b and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/16 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 511185 and -31.116.\nAnswer: 511153.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 = 7*g - 2*g. Suppose -3*l + 4*h + g - 62 = 0, -4*l = -2*h - 126. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/165)\/(2\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -3, -52526?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -49. Let o be (-1 - q)*(-16)\/(-32). Let m be (-247)\/(-7) + (-14)\/49. Calculate the greatest common factor of o and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000115126608 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2153 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337 - 302 - 331 - 3*n + 7*n + 946.\nAnswer: 4*n - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n*n**(-2))**(3\/17)\/(n**(-2\/13)*n\/(n*n*n**(-6))) assuming n is positive.\nAnswer: n**(-993\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 2*n - 1. Suppose 4*j + 4 = 0, -4*p + 1 = -2*p + j. Let u be b(p). Suppose -z = -u*z + 34. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -1. Let y = 31 - 27.8. Let z = y + 0.8. Which is the second smallest value? (a) 2 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**4 - k**3 + k. Let d(r) = -113*r**4 + 3*r**3 - 3*r + 31. Let u(m) = d(m) + 3*n(m). Differentiate u(c) with respect to c.\nAnswer: -464*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1395310448479 minus -2?\nAnswer: 1.8604689551521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v - 2*v)*(7 - 8 + 0)*(-13 + 4 + 10).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6510877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(150\/(-200)*2\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 350. Does 4 divide u(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 1. Let y(v) be the first derivative of v**3\/3 + 5*v**2\/2 - 5*v - 41. Give -5*b(s) + y(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02309 or 2\/75?\nAnswer: -0.02309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/(sqrt(14)\/sqrt(2)) - (sqrt(105)\/sqrt(5))\/sqrt(3)) + -1 + -4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 2, n: 3, d: 9}. What is prob of picking 1 l and 1 j?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(0 + 0 - 2) + 380 - 166 - 122)*(-2*t**5 + 2*t**3 - 2*t**3).\nAnswer: -180*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4310816km?\nAnswer: 43108.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -202 (b) 12\/11 (c) 2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + 2)*1 - (sqrt(275) - (-1 + sqrt(275) + -3))) + 1 + sqrt(275) + 2 + -4 + (sqrt(275) + 2 - sqrt(275)))**2.\nAnswer: -50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2. Let h be a(-2). Let z(v) = -9*v**3 + 15*v**2 + 8*v**3 + 13*v + 21 + 15*v - 5*v. What are the prime factors of z(h)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5912*u**5 + 10121*u**3 - 21476668*u**2 wrt u?\nAnswer: -354720*u**2 + 60726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2486235 and 3585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, -0.4, -32\/37, 4\/11, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-21) + 126\/49. Solve 4*z = -j + 4*j - 11, -l*z - 4*j - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.71 - -3.\nAnswer: 7.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 3474?\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 3*a**2 - 4 - 2*a**2 + 5 + a. Give k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2 - 78099*z - 156186 = 0.\nAnswer: -26031, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8932 - 8915. Calculate the remainder when 11234 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - -12 - 18) + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 6)\/(18\/1020). Let u = 6 - f. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -617 (base 10) to base 7\nAnswer: -1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 212\/28 + -1 + 6\/6 - 7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuppyukupyukupyppyu. Give prob of picking 2 p and 1 y.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 161\/920*-88 + (-60)\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(832)*-1 + -2)**2.\nAnswer: 192*sqrt(13) + 5016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35880, -74003, -112126?\n\"Answer: -38123*w + 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/2)\/c)\/c)**19\/(((c*c**(2\/3))\/c)\/(c**2\/c)))**(5\/3) assuming c is positive.\nAnswer: c**(-1415\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 2*c**2. Let q = -38 + 36. Give v(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 3\/7 (c) 41 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 710*f**3 + 107972*f**2 wrt f?\nAnswer: 4260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55260 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + p - 1 + 2*p - 4*p - 6*p + (4 - 3 - 2)*(-5*p + 3*p + 0*p) + 0*p - 4*p + 3*p)*(-p + 4*p - p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.11, 5, -1.18, -1\/3, -2 in descending order.\nAnswer: 5, 3, -0.11, -1\/3, -1.18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -14. Let u = -24 + 27. Suppose q = -4*s + 3*s - 2, 0 = -u*s - 9. Solve 5*w = 4*x - q, h = w - 0*x - x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i = 34*i + 4*c + 9825, -3*i + 2*c + 5897 = 0. What are the prime factors of i?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, i: 3, t: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286446 is divided by 40201.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1368646 + 62*f**3 + 1368646.\nAnswer: 62*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2310*l + 25 = 2305*l, 5*v = -l - 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 - (-9)\/(-4)). Suppose m*o - 40 = -p, -o = -5*p - 2*o + 181. What is the greatest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2760 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3 + (-22)\/165*414\/(-60)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.401\nAnswer: 0.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 24. Suppose 10 + 20 = 2*o. Let y = o + w. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*s + 164, -s - 3*y - 18 = 22. Let k = s + 55. Suppose 4*g + k*u - 260 = 0, -3*u + 65 = g - 0. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0 - 1)*43)\/(4 + -1). Which is smaller: w or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 divided by 385?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(1 - 1 + o**5 + 3).\nAnswer: -2*o**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 633 + 325)*(3*s - 3*s + s**3).\nAnswer: 964*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = 0, 5*i + 5*a + 7 = 6*a. Let f be i*33\/24 - (3 - 5). What is the third biggest value in -0.1, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w + 12*w = -24*w + 132. Solve 3*r = -r + w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - 1.98. Let y = f - -3. Put -0.1, 3, y in decreasing order.\nAnswer: 3, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -54. Let q be 22 + (u + 1 - 0\/1). Calculate the greatest common divisor of q and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/7, -18, 0.4, -402, -4, -8, -2?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, b: 2, j: 7}. What is prob of sequence jcjb?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 0. Let y(m) = -m**3 - 8*m**2 - 8*m - 3. Let b be y(-7). Suppose b*r - 5*r = -1. Is r != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16935 is divided by 8455.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4299 + 19457 = -11*d. Let c = 2775 + d. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(156)*-2 - sqrt(156)) + sqrt(156) - sqrt(156))\/(3*sqrt(108)) - ((-2*sqrt(351))\/(sqrt(162)\/sqrt(6) - sqrt(3) - sqrt(3)))**2.\nAnswer: -468 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*p - 54 = -11, -4*r + 18 = -2*p. Let a(x) = x**2 + 6*x. Let o be a(-6). Suppose o*y = 2*y - 154. Calculate the greatest common factor of r and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3680 is divided by 3629.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-6)\/(-2)*(-64)\/(-352)*-11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from tbnfbfbbxxnh?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(3*d + 2*d - 2*d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -23. Let z(m) = -17*m - 2. Let d be z(u). Let y be d\/10 + (-20)\/(-25). Solve -y*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 15 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -3*(4*sqrt(272) - sqrt(272)) + (sqrt(272) + sqrt(272)*-1)*-3)*-5 + 4)**2.\nAnswer: 1280*sqrt(17) + 435216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c - 2. Let m be w(2). Let j be 2\/m + 1\/12. What is the second biggest value in -2\/5, -4, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-10)*20\/8. Suppose -5*t + 2*i = -15, -2*i = -4*t + a*i + 12. Solve -5*z + 10 = -t*w, -3*z = -w - 0*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*x - 388*x = 2*c + c + 756, 228 = x - 5*x + 5*c for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c8 (base 15) to base 2.\nAnswer: 10001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*d*y**5 - 115*d*y**2 - 3877*d*y wrt y.\nAnswer: -440*d*y**3 - 230*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 4. Let d be t(-8). Suppose 4*u - 2*l = -12, u + l - 32 = -32. Put 20, d, u in increasing order.\nAnswer: u, d, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/240 and 4 + 16677\/1350 + -16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 divided by -6?\nAnswer: 197\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iki when three letters picked without replacement from kikieiiekk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2 + ((-440)\/(-25))\/8). Let d be -56*3*(-3)\/18. Sort d, i, -3 in ascending order.\nAnswer: -3, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10959.\nAnswer: 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559677 a multiple of 577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 10*c = -36 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6523016, 13046009, 19568966, 26091881, 32614748, 39137561, 45660314?\nAnswer: 52183001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 71, 99, 125?\n\"Answer: -d**2 + 33*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.8 + 0.8. Suppose 2*w - 309 = 5*h, -3*w - 7*h = -4*h - 432. Let d = w - 144. Which is the second biggest value? (a) -4 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4, 0 = -v + 5*v - 4*b + 8. Let w = v - -6. Solve 0*l - 4 = w*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.275 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, i: 9}. Give prob of picking 1 i and 1 v.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -308.06 + 307. What is k rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 7. Let m be (2 + 13)\/(6\/(-4)). Let g be z(m). Suppose 3*r = 11 + g. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*n - 5, 0*p = -p + 5*n + 1. Let x(s) = -4*s + 11. Let h(g) = 2*g - 5. Let d(m) = p*x(m) - 9*h(m). Is d(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 0, -249 = -2*m - 4*g - 763. What is the common denominator of (m\/(-24))\/(45\/(-12)) and 475\/208 + (-16)\/(-104)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*v + 5*d + 208 = 0, -d = -13522*v + 13518*v + 32 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 - -1?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 5. Let d = q + -1. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1155 and 28\/14355.\nAnswer: 100485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*sqrt(544))\/(5*2*sqrt(72))*3.\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-462)\/(-9))\/((-2)\/(-3)). Does 10 divide 6\/(-24) + d\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-7 - 5\/30*-40)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2) - (sqrt(32)\/sqrt(8))\/sqrt(2))*-2 - (sqrt(2) + 5*sqrt(242) + sqrt(512)))**2 + -5.\nAnswer: 10363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13254, 13185, 13068, 12909, 12714?\nAnswer: 12489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 103031 (base 4) to base 2\nAnswer: 10011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(275) + 2*sqrt(275))**2 + 1.\nAnswer: 60*sqrt(11) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 23. Suppose -5*m = -0*m. Let w = m + y. Solve 0 = -j + 4*x - w, 2*j - x = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u = -49*u + 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*f = -34*f + 918 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + g**5 - 4*g**5 + g**5 - g**5 + g**5 + (5 - 1 - 3)*(-10*g**5 + 4*g**5 - 5*g**5) + (-2*g**5 + g**5 + 0*g**5)*(-2 + 4 + 0).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7141 is divided by 143.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -9011 and -699.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 160. Let q = -82 + 80. Let g be 0\/(-4 - (q + 2)). Is 10 a factor of h(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:52 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200\/3*z + 5000\/3 + 2\/3*z**2 = 0 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1212984295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*c - 90, 0*v + 55 = 5*v + 2*c. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = w + 24. Let j be (-4)\/(-10)*2\/w. Which is the nearest to j? (a) -3 (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/20 and 83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.94 + -7.64. Let p = 1.5 - 1.5. Which is the fourth biggest value? (a) -0.4 (b) n (c) -3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1428813, -2857606, -4286399, -5715192, -7143985, -8572778?\nAnswer: -10001571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.7, 4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877 a factor of 1241775540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/8))\/(a*a*((a**(-5\/2)\/a)\/a)\/a)*((a\/a**2)\/a*a)**(3\/7) assuming a is positive.\nAnswer: a**(291\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 848620 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*o - 11 + 55 = 0, -5*o + 80 = -5*l. Let g be 60\/(-4)*(1 - (-92)\/l). Let r be 10\/(3\/24*2). What is the highest common divisor of g and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m - 4 = 39*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v - 1815 + 68*v + 1821.\nAnswer: 99*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 - -147. Solve 0 = 5*z - h*l - 3*l + 15, 4*z - 5*l = -12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 664 by -17.\nAnswer: -664\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2302622*t**4 + 22965*t**2 + 138*t - 1?\nAnswer: -55262928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 25. Let f = t - -34. Suppose 4*a = -4*k + 60, 0 = 3*k - 3*a + f - 80. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 70 - (-1058 + 999).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.74 - 2.26. What is the biggest value in -0.5, m, -0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4619 and 16399.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20*(14\/4)\/(-7) - -3. What is the smallest value in 2, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 + 185*c**2 - 5*c - 185 = 0. Calculate c.\nAnswer: -37, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbxbxxbbxbx. What is prob of sequence xb?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.984476848 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -t + 11 - 1, 0 = -t + b - 5. Is 424\/20 + 2\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6020246 - 3?\nAnswer: 6020243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 927 = 5*b, 5*b = 12*n - 7303 + 1426. Solve 72*f = -9*f - n for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*3\/(-27) - 266\/(-18). Calculate the highest common divisor of l and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1*12\/(-8))*4. Let y(s) = -5*s - 8. What is the units digit of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**3*u*u)*u)\/u**(9\/8))**(-28\/3) assuming u is positive.\nAnswer: u**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1023087*t**5 + 2211412*t?\nAnswer: 20461740*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((-15)\/75)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4095177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*n = -15, -5*d - 541*n + 35 = -546*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:43 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z**2 + 32*z - 21. Let b(k) = -8*k**2 + 21*k - 14. Give -8*b(g) + 5*n(g).\nAnswer: -g**2 - 8*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 5. Which is smaller: o or 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2691, -5045, -17941, -35997, -59213, -87589?\n\"Answer: -2580*c**2 + 4*c + 5267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.3. Let l = -4 - -6. What is the closest to l in -3\/4, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*b - 7*d - 30, 0 = -b - 3*d. Suppose 0 = b*i - 124 - 308. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 4*t**2 - t + 4. Let k be g(3). Let j(z) = -2*z + 5*z - 8 - 2*z. Let i be j(k). Solve 4 = 2*c, -f - i*f - 13 = -5*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -5*r. Suppose -5*g + r*p - 1 = -7, -4 = -2*p. Solve i = 5*h + 2, g*h + h = 2*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20*f**2 + 20*f - 20. Let s(k) = -k + 1. Let p(l) = 20*s(l) + u(l). Let n(h) = -h**2. Let r(z) = 16*n(z) + p(z). Let c(j) = j - 1 + 1. Give r(c(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -38922, -31, -5, 3.\nAnswer: -38922, -31, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*p**3 + p - p)*(-5 + 5 + 3*p) to i*p**2 + j*p**4 + f*p + l + r*p**3 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-3))\/(2\/306).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 31. Let v(w) = w**2 - 1. Let x(o) = 36*o**3 + 6*o**2 - 25*o - 6. Let c(d) = r*x(d) - 6*v(d). Find the second derivative of c(i) wrt i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*n - 31, t - 1 = 4*n - 2. Solve -3*s + t*s + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 10*d**2 - 6*d - 3. Let t be x(-9). What is the lowest common multiple of (2\/(-3))\/((-11)\/t) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 2*a + 4, 0 = -4*a + 5*z + 11. What is the smallest common multiple of a and 5366?\nAnswer: 10732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 835090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*p - 64 = 0, -29 = -3*l - 24*p + 22*p for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11*w - 1557 = 0. Let h = 194 + w. Suppose 2*j = -2*p + 50, -3*p - 81 = -6*p - 5*j. Does h = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3564588 * -0.2.\nAnswer: -712917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o + 1. Let r(g) = 10*g**2 - 8*g - 8. Let j(l) = -8*p(l) - r(l). Let a(b) = -14*b**2 - 2*b. Determine j(a(x)).\nAnswer: -392*x**4 - 112*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 0.019?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 + 37572902*v + 75145796 = 0. Calculate v.\nAnswer: -18786449, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 + 6 = -5*y, -5*g - 25 = 0. Suppose y*u = -5*u + 10. Let c = u + 3. Solve 3*v + 5 = 2*f + 2*f, v + c*f + 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1584\/9*(4\/(-4) + 2). Suppose 183*i - p*i = 483. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1622 + 1621. Sort -9.3, 2, v, 2\/15 in ascending order.\nAnswer: -9.3, v, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttaaaaaaatt. What is prob of sequence ata?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(38)\/sqrt(2))**2 + -2 + sqrt(19)*2 + 3.\nAnswer: 29 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13723 - 13723 - 16*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 3372 + 3372.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j + 90 = j. Sort 0, j, 359, 2 in ascending order.\nAnswer: 0, 2, j, 359","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1802 + 47022 = -1330*h for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61818575*j - 35983542 wrt j.\nAnswer: -61818575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j - 48. Let y(n) = 4*n - 25. Let d(x) = 3*u(x) - 7*y(x). What is the remainder when 152 is divided by d(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/508 and ((-390)\/(-36) - 11)*151?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - -14)*(-2)\/8*-2. Suppose 4*a - 2*m + 224 = o, 0 = a + m - 5*m + 70. Is a less than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 43 - 41. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -288 - -292. Suppose -7*z + 2*z + 15 = 0. What is the fourth biggest value in -2, 1, i, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10. Let v = 212\/3 - 70. Which is bigger: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-1))\/((2 - -2) + -2). Suppose g*k - 3*f = 67, -2*k + 3*f = 2*f - 33. Let p = 81 + k. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 177304224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1663 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 7*u**2 - 2*u + 2. Let h be t(-4). Let y = -3 - h. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1276*d**6 - 37*d**2 - 2*d wrt d?\nAnswer: 153120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppdddddpdpdddddpddd. Give prob of picking 3 d and 1 p.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -34*p - 59 - 337 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 157*t + 604. Let p be u(-4). Let z(c) = -5*c - 93. Calculate z(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*t - 505*t = -57*i - 405, 0 = -4*i - 2*t - 34 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21504.186 hours?\nAnswer: 896.00775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1826 - -1851. Solve n = 28*g - 33*g + 2*h, 5 = -g - 3*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001487 is divided by 152.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 0.4 (c) -0.42 (d) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*s. Suppose 2*p = -3*y + 78, -y - s*y = 5*p - 111. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 - 269*q**2 + 935*q + 944. Give i(86).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 56. Let l be a(11). Suppose 15 = 3*w, -5*c + 159 = -4*w - 26. Let k = c - 22. What is the highest common divisor of l and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, f: 4, k: 8, g: 1}. Give prob of sequence ccfk.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k = -53*k - w + 16523, 0 = -3*w + 15. Is -8259 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/28 + (-3 - -2). Let x = k + 1\/2. Is x <= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 288 + -291. Let d = 0.3 + -0.4. Let v = d - -0.5. What is the nearest to -2\/5 in v, w, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 18180 = 28023 + 60432. List the prime factors of p.\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 21, 48, 97, 174, 285, 436?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aay. What is prob of picking 1 a and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*r - 18, -3*r = 5*x - 11 + 35 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60594.6 - -60596. Let i = -0.5 + -2.5. Let h = -3 - i. Which is the closest to h? (a) 4 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -3) + -1 + 2 - (131 - 141).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2\/(-2) + 13322 + (48 - 52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/8)\/(12\/24). Let g(h) be the first derivative of 0*h**2 + t*h**4 + 0*h - 2 + 2\/3*h**3. Factor g(a).\nAnswer: 2*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1931128 decades to centuries.\nAnswer: 0.01931128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + w = 123, -4*u - 5*w = -0*w - 111. Suppose y + 3*y - u = 0. Suppose 155 = y*x - x. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.12 minus -0.2?\nAnswer: -305.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + -1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 665 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29951 - 81743 = 664*v for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Suppose l*n - 7*n - 4 = 0. What is the closest to 0 in -2\/19, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -57*s**2 - 56*s**2 + 5*s**2 + 38*s**2. Let b(j) be the third derivative of -j**5\/12 - 370*j**2. What is c(b(w))?\nAnswer: -1750*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -3*z, -4*r + 5*z = 184. Let h = -39 - r. Suppose -6 = -n - h. Solve -n - 6 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -24*n + 3. Let h(r) = -24*r + 4. What is -4*h(o) + 5*v(o)?\nAnswer: -24*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14575 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2578, 1, -5, -4 in increasing order.\nAnswer: -5, -4, 1, 2578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2\/39, -5, -0.3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15626800, 31253611, 46880426, 62507245, 78134068, 93760895?\n\"Answer: 2*h**2 + 15626805*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8847084*f**3 - 2*f**2 - f. Let z be d(-1). Let k = z - -13047076. Suppose -y = 2*w - 4199994, 3*w - k = -2*y + y. Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/j**5)\/j)*j\/(j*j**(2\/3))*j**5\/(j*j\/(j\/j**5)) assuming j is positive.\nAnswer: j**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 638624 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2917 - 11747\/4. Let a be (180\/25)\/(10\/(-6)). Let i = a - 959\/50. Find the common denominator of n and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/215003? (a) -3\/8 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3.6, 1\/2, -0.2, -5, 0 in decreasing order.\nAnswer: 1\/2, 2\/5, 0, -0.2, -3.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 425901*q - 212949*q - 212959*q. Let g(p) = p + 37. Give g(b(l)).\nAnswer: -7*l + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -23*h**6\/120 - 19*h**5\/60 - 2*h**2 + 12. Let j(r) be the second derivative of g(r). Find the third derivative of j(l) wrt l.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.98 + -7.82. Let q = 7.8 + m. Which is the smallest value? (a) q (b) 5\/4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9470, 9473, 9478, 9485, 9494?\n\"Answer: b**2 + 9469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 567.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 1659*q**3 - 10*q + 4*q - 823*q**3.\nAnswer: -2482*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f\/(f*f**(2\/15))*f)*f))\/((f\/(f\/(f**(-2\/3)\/f)*f))\/f))\/((f\/(f*f**(-1))*f)\/f**(-7)) assuming f is positive.\nAnswer: f**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -31*x**3 + 4*x**2 + 90*x + 2. Let q(i) = 24*i**3 - 3*i**2 - 90*i - 1. What is 3*k(n) + 4*q(n)?\nAnswer: 3*n**3 - 90*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(27) + sqrt(1216)*1.\nAnswer: 25*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -261733, -261735, -261737, -261739?\n\"Answer: -2*y - 261731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 946 = -g, -1146 + 188 = -o - 5*g. What is the greatest common factor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2375*c + 3. Let n(j) = -207*j - 1. What is p(n(d))?\nAnswer: -491625*d - 2372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2 - 167*z**2 + 167*z**2 - 2*z - 10*z**3. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 18 = -0*s + f, -22 = 5*s + f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Let w be (-28)\/(-9) + d + -5. Let s = 0.235 - -0.765. What is the closest to s in -4, w, 0.07?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 632, 629, 626, 623, 620, 617?\n\"Answer: -3*z + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*t + 2470 = -98*t. What are the prime factors of t?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1801.568*-93.\nAnswer: 167545.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -311303 (base 5) to base 4\nAnswer: -2133123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/(-8))\/((-4)\/(-16)). Let h = 13 - t. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 4*i**2 - 6*i. Let x be o(5). Let h(d) = 7359*d**2 - 5*d. Let k be h(x). Suppose -2*l = 2*l - k. What is l rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*i + 32*i + 135. What is the highest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.884 - 0.116. Let p = 65.0071 + u. Round p to 4 decimal places.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 + 50. Round z to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2022875443 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:45 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 2*t, 5*t + u = 0. Suppose t = 48*p - 47*p - 3. Solve 5*w = p*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**3 - 14*p**2 + 46*p + 13. Is v(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12404 + 16343. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 152 + -1?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 39 + 679 = 0. Calculate the greatest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 1153 = -6326. Let l = i + -269. What are the prime factors of l?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 - 8*u**2 + 22*u**2 - 43*u.\nAnswer: 3*u**2 - 43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 559098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.87791298 to two decimal places.\nAnswer: 30.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**2 - 5*h - 2*h**3 - h - h**3 + 2*h**3 - 4. Let b(z) = 2*z - 3 - z**3 + 3*z + 0*z**2 - 2 - 4*z**2. Let c be b(-5). Give u(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4194*f**2*s**5 - 299*f**2*s**4 + 2*f**2*s**2 - 79490*f**2 - 4*f*s**2 wrt s?\nAnswer: 251640*f**2*s**2 - 7176*f**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*v**3 + 243923530*v**2 - 156575508858240*v + 16481629808640.\nAnswer: -5*(v - 1283808)**2*(19*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217.3 + -216.6. Sort p, -29, 2 in decreasing order.\nAnswer: 2, p, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**6)\/z*((z\/z**(-1))\/z)\/z*(z*z**0)**(-7\/6) assuming z is positive.\nAnswer: z**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 5 - 15)*(3*g - g - g).\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5\/7 + 32588*m**4\/7 + 265037616*m**3\/7 - 1063803456*m**2 = 0.\nAnswer: -16308, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Let n be ((-4)\/15)\/(6\/(-9)). Which is the smallest value? (a) d (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - a. Suppose 5*v - 5*r + 750 = 0, 2*r = 5*v + 4*r + 750. Let k = 151 + v. Let u(p) = -2*p**3 - 7*p**2 + 5*p + 1. Give k*u(d) + 5*s(d).\nAnswer: -2*d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((-805)\/2898).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6303*l + 3181*l + 3122*l - 103*l**2 + 2.\nAnswer: -103*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 67975766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Suppose -2*g - 18 = -0*g. Let p(l) = -l**2 + 39*l + 2. Let y(j) = 5*j**2 - 157*j - 9. Let b(f) = g*p(f) - 2*y(f). Give b(u(o)).\nAnswer: -4*o**4 + 74*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 800399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (4 + sqrt(2299) + -1 - (sqrt(2299) - (-4 + sqrt(2299)*-2))) + (5 + sqrt(2299) + sqrt(2299) + sqrt(2299) + 1)*1*3)**2.\nAnswer: -677082 - 12936*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, 1054, -4, 19, -0.4 in descending order.\nAnswer: 1054, 19, 1, 0.3, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or 2\/497?\nAnswer: 2\/497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170611, 682378, 1535307, 2729398, 4264651, 6141066?\nAnswer: 8358643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 - v + 2. Let o be t(-5). Let j = 13 - o. Solve 3*s + 16 = 5*z, z - j = 2*s - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 33. What is the nearest to 1 in 0.1, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095 is divided by 88.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -71, -110, -151, -194, -239?\n\"Answer: -n**2 - 34*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.5010833 - -7.4752. Round y to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1724*y - 14. Let g(r) = 431*r - 3. Determine -18*g(h) + 4*o(h).\nAnswer: -862*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2767, -11038, -24823, -44122, -68935, -99262, -135103?\n\"Answer: -2757*p**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 17*x = a + 49440 - 49968, -4*a - 80 = -2*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let k(t) = -1080570*t + 1. What is p(k(a))?\nAnswer: -1080570*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/462131502 and -127\/399234?\nAnswer: 5083446522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - p - 10, -x - 4*p + 0*p - 7 = 0. Let h = 3 - 5\/2. Is x >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + g. Let u be a(1). Sort 5, 4, u, 7.\nAnswer: u, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/23))\/f*f*f\/f**(-7)*f*f\/f**(-4\/7)*f*f*f**(1\/13))**25 assuming f is positive.\nAnswer: f**(718700\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7726 + -7710. What is the remainder when 574 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22*(130\/340 - (-4)\/34). Suppose 4*h - 24 = 12. Let v = z - h. Solve 0 = -v*k - 2*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1617537735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 0 + 1)*(2*j**2 + 0 + 0) + 7*j**2 + 7*j**2 + 5*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4010440 (base 5) in base 3?\nAnswer: 10012202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - j + 15 - 5, -5*j = 4*m - 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 863643 and 58740.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2801 greater than -2808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 430 + -434. Let w = 9 - 4. Suppose 0 = w*f - 3*f. Sort f, 4, m in ascending order.\nAnswer: m, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a = 7393 - 24413. What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10106414 - -17116414. Round l to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 11*l**2 - 13*l. Let o be q(-10). Put 3, o, 4 in decreasing order.\nAnswer: o, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 794 - 3682 = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12283200 is divided by 2729?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33872 and 1392.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 - 15*q**2 + 0*q**4 + 9*q + 6*q**4 - 11*q**4 as p*q + c + u*q**3 + v*q**4 + w*q**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 36. What is q(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbtb when four letters picked without replacement from bbbbbtoorbbt?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1483520515 and -0.47.\nAnswer: 1483520514.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-195)\/(-9))\/5 + -3)*(-174)\/116?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 12743808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(704)*2*3*-2*-3*4 + 0.\nAnswer: 6912*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2. Let m(z) = -6*z + 2. Calculate o(m(f)).\nAnswer: 108*f**2 - 72*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.5. Suppose 3*x + 6 - 18 = 0. Suppose -1 + 29 = -x*m. Is m less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**4 + 5799*o**3 + 480426*o**2 - 2547480*o = 0?\nAnswer: -1846, -92, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {p: 3, s: 3, r: 1, t: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**3\/21 - 44*l**2\/7 - 384*l\/7 + 886. Factor w(f).\nAnswer: 2*(f - 48)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2784)\/1218)\/((-4)\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*z**2 + 102*h*z + 151*z**2 wrt h.\nAnswer: -z**2 + 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-155)\/(-15) - (25\/15)\/5. Let r = 1.3 - 1.24. Sort o, r, -2.\nAnswer: -2, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 10:51 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 360 = 4*h, 7*h - 2*h - 4*r = 456. Suppose -h*x + 2*x**2 + 30 + 26*x + 17*x + 29*x = 0. What is x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 318454, 1273765, 2865942, 5094985, 7960894, 11463669?\n\"Answer: 318433*o**2 + 12*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 225 + 257 = 0. Let z(h) = h + 2. Let s be z(-2). Suppose -i = -28 - s. Calculate the remainder when i is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1111, -1240, -1351, -1450, -1543, -1636, -1735, -1846?\n\"Answer: -u**3 + 15*u**2 - 167*u - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -3*z**5\/10 - 11*z**3\/6 + 6*z. What is the second derivative of x(g) wrt g?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11))**13*(v**2)**(2\/35))**(-43) assuming v is positive.\nAnswer: v**(-41022\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpiigj. Give prob of picking 2 i and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69592584 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 21926.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -5, 45, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7435 less than -0.175?\nAnswer: -7435.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -13 - (-28 + -2 - (-86 + 66))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -29, -64, -111, -170?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - c = -5*s - 17, -4*c = -3*s + 7. Let w(f) = f**2 - 8*f + 24. Let a be w(s). Is (-1424)\/(-6) - (6\/a)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36 (b) 47 (c) 7 (d) -59\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-8) + (-21)\/(-28)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -6583*r**5\/20 - 3985*r**3\/6 - 284*r + 7. What is the second derivative of z(i) wrt i?\nAnswer: -39498*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from estseqstssstse. Give prob of picking 1 e, 1 s, and 2 t.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737864931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.4 and 1.1.\nAnswer: 34.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 19*s**3\/6 - s**2\/2 + 24*s + 1. Let a = 736 - 734. Give c(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*v + 37 = -4*d, -2*d + 14 = 4*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2211 - 8111. Round d to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2008 and 65\/7561124?\nAnswer: 15122248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30071\/3 - 10024. Sort h, -0.3, -5, 0.5, 184.\nAnswer: -5, h, -0.3, 0.5, 184","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -56321571755285\nAnswer: -56321571755285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2. Suppose 25*i - 348 = 4477. Let o = 3 + -1. Let m(d) = -3*d + 3*d + i*d**2 - 161*d**o. Calculate f(m(q)).\nAnswer: -3072*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 - -152. Let i = -1482\/5 + n. Let h(k) = -7*k + 232. Let v be h(33). Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10384 divide 2743432032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5 + 0*o + 0 - 3*o - 5*o. Let x be m(-2). Let c = -21 + x. Solve v + 0*v = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (22\/(-5))\/2. Let b be (-1 - -1)\/1*-1. Is b != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/10*(-50)\/20. Let i(u) = -8 + 3*u**2 - 4*u**b - 8*u - 3*u**2 + 6*u**2. Suppose 0 = 3*v - 2 + 5. Let d(l) = -l - 1. What is v*i(z) + 8*d(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1705500 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59.10785 centimeters?\nAnswer: 591.0785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/19, 7, -0.2, 52, -2, 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80406\/9)\/6 - -2. Let p = 8 + 1. Suppose -p*g + s = -1344. What is the highest common factor of 35 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78625 + 2*c + 78625.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 1947419*x - 1947419*x - 6*x**2 + 8*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -88, -2.\nAnswer: -88, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 122 = 172. What is the remainder when b is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17827992 divided by -2971332.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -213953852*z**3 + 41614335?\nAnswer: -641861556*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 8*w + 3. Let c = 3 + 5. What are the prime factors of v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 25699?\nAnswer: 25701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1737970 and 101\/1390376.\nAnswer: 6951880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:33 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 2\/543 (c) -3\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102308480 and 36?\nAnswer: 920776320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36*26\/208)\/((-1)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/8 - (-142)\/4. Let h be y - (1 + 0 + -1). What is the common denominator of -26 and (-3)\/6 + h\/138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 5:16 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*m = 80, -a + 5*m + 7 + 5 = 0. Sort -1, a, 0 in descending order.\nAnswer: a, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4.474.\nAnswer: 8.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-5) - 3\/(60\/16). Suppose 1108 = 3*u - u + 5*l, 0 = p*l. Let d = u + -388. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6209*x**2. Let d(g) = 4193*g. Calculate d(u(j)).\nAnswer: 26034337*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k\/(k*k*k*(k**7\/k)\/k*k))\/((k*k**(5\/4)*k*k)\/(k\/(k*k\/((k\/(k\/k**(-4\/9)*k*k*k))\/k)))) assuming k is positive.\nAnswer: k**(-961\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3737*81.\nAnswer: -302697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 30. Let n(t) = 80*t**2. Give n(m(h)).\nAnswer: 320*h**2 + 9600*h + 72000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 33 = -2731*h + 2728*h + 8, -4*b + 4*h - 44 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/k**(2\/9))))\/k)\/k**(-6\/7))**(3\/19)\/((k\/(k**5\/k*k)*k*k\/k**3)\/(k**(1\/3)\/(k*k**8*k))) assuming k is positive.\nAnswer: k**(-1822\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2\/9*r + 42 + 4\/27*r**3 - 1\/36*r**4 - 5\/18*r**2. Factor d(s).\nAnswer: -(s - 2)*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q + 16. Let f be (-3)\/(-3)*1 - 3. Suppose -6*m + m = -10. Let j(b) = -3*b + 3 + 2 - m. Calculate f*i(s) + 11*j(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - ((13 - (9 - 15 - -9)) + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*w**2 - 5*w - 4*w**2 + 3*w + 0*w wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3087090531883 - 2.\nAnswer: -3087090531885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffeff. Give prob of picking 2 f.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69\/2 of a century?\nAnswer: 41400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*d - 7*d - 4*d to the form b*d + t and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/155 and -37\/6.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -14610 (b) 2 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 10) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -77, -83, -91?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 10301 in increasing order.\nAnswer: 3, 4, 10301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*x - 2. Suppose x*y - 18 = -4*r, -r = -4*y + 2*y + 3. Solve -4*m = -2*w, m - r*w + 9 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (798\/(-9))\/(6\/9). Let a = 137 + h. Solve -2\/3*n + 0*n**3 - n**2 + 1\/3*n**a + 0 = 0 for n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8328719 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: What is the fourth smallest value in -3, -4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.082 and 8.\nAnswer: -0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-99) + 4\/(-18). Let q = 0.1 - -0.9. Let d = 36.4639 + -35.4639. What is the nearest to q in 1\/9, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrhrrtttrattt. Give prob of picking 2 t, 1 r, and 1 h.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1068 (base 12) to base 16.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5*q + 0*q)*(32318 + 32379 - 64497 - 3*q**3).\nAnswer: 6*q**4 - 400*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:18 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -5*a**6\/24 - 2*a**5\/3 - 5*a**4\/24 + 5*a**3\/3 + 2*a**2 - 9*a. Determine q, given that f(q) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 + 134. What is the highest common divisor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2 (c) -24\/1277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/(-105) - (-74)\/10. Solve -2*u = h*u + 54 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308215065 divided by 3151?\nAnswer: -97815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 11:42 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 191556120 at most as big as 191556120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.67459144 to four dps.\nAnswer: 2.6746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3, -5*y + 17 = 49*v - 53*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -165 + 178 + (0 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.646 * -9026.6\nAnswer: -50964.1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9556 is divided by 4402?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52048105 rounded to the nearest ten thousand?\nAnswer: -52050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.4 (c) 3 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 5 - 6\/(-1). Let v = -50 + 68. Suppose -v = 4*x - 18. Solve x = h + 2 - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from xixhzdz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171624596*b - 1171624595*b - 24*b**3 - 38*b**3.\nAnswer: -62*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1292 and 103\/4712.\nAnswer: 80104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*t + 7*t**4 + 6*t**4 - 644 - 408*t**3 + 5*t**2 + 6*t**2 + 408*t**3 wrt t.\nAnswer: 52*t**3 + 22*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/5)\/(150\/(-125))*-69. Solve c*y = -44*y - 402 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 + -116. Suppose z + 1217 = k*s, 0 = -s - z + 790 - 186. Is 53 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b + 36, -4 + 7 = t + b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + -2 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**2*p**3 + 2174*i**2 + 2*i*p**3 + 189*i*p wrt p.\nAnswer: 9*i**2*p**2 + 6*i*p**2 + 189*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 519 and 634910?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*m**3 - m**2 + 22*m - 169 wrt m.\nAnswer: -504*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*r + 3)*(3 - r**2 - 3)*(2 + 0 + 3).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j + 2*j**5 + (-4 + 4 - 5)*(2 - 2 + 2*j**5) - 352*j**5 - 761*j**5 + 63*j**5.\nAnswer: -1058*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 280963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, -8, -74.7, 0 in descending order.\nAnswer: 5, 0, -8, -16, -74.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.63, 3976, -43 in descending order.\nAnswer: 3976, 1.63, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 340 - -1ab7?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3320 and 150313.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0 - 3) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.523 + 0.277. Let m = b + -9.8. Let s = m - 57.3. What is s rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215 by 12.\nAnswer: 215\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 466 + 493 - 9*y + 458 - 1332. Determine t(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5 + 5*c + 5 + 25 - 82*c. Let b(t) = -2*t + 1. Let w(n) = -35*b(n) + x(n). Let s(f) = 6*f. Give w(s(o)).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -191576112 divided by -1710501?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*x = 14, -114*k + 8 = -118*k + 4*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + 17. Calculate the lowest common multiple of a(-4) and 4*((-9)\/(-12))\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492 + 461 = 205*x - 507 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 30*w**2 + 28*w + 98. What is the derivative of f(i) wrt i?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 934, 1400, 1850, 2278, 2678, 3044?\nAnswer: 3370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 3. Let d be (-66)\/21 - (-4)\/28. Let q be w(d). What is the tens digit of q\/(-27)*12*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/15)\/(2\/(100\/15))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 2*y**2 + 3*y**2 - 2*y + y**2 + 2*y + (-y - 5*y + y)*(-6*y + y + 3*y) + 5*y - 5*y + 2 - 4*y**2 in the form c*y**2 + q + w*y and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71 - (12 + 60 + -154)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*a**3*o*p**2 + 670*a**3*o + a**3 - 4*a**2*o*p**2 - a**2*p + a*o*p**2 - 2*a*p wrt p.\nAnswer: 126*a**3*o - 8*a**2*o + 2*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51993070?\nAnswer: 2, 5, 5199307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503300 rounded to the nearest ten thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/1160*8*20\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 668 - 662. Let x(y) = 29*y + 17. Let z(n) = 25*n + 16. Let g(r) = l*x(r) - 7*z(r). Give g(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 17*h - 6. What are the prime factors of o(5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223b94 (base 15) to base 14.\nAnswer: -307043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -620 - -617. Let i(r) = -63*r - 187. Let g be i(w). Let f = -19 + 29. Solve g*n = -3*a - a + 4, 0 = a - 5*n + f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5639 + -5636. Suppose 2\/3*v - 4\/3*v**2 + 0 + 2\/3*v**p = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -1\/5 (b) 2\/7 (c) -2\/3 (d) 0.055 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -2*m - 2*m. Let f be (-2)\/8 - m\/(-8). Suppose -18 = t - f*t. 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 s be (-269)\/(5\/(-7)*1). Suppose 6*i + 2244 = -0*i. Let j = i + s. Calculate the common denominator of -18\/5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 3*l**2 - 5*l + 4. Let h = 14 + -10. Let v(x) = 4*x**3 + 5*x**2 + 9*x - 7. What is h*v(u) + 7*t(u)?\nAnswer: 2*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -463339*g - 5096717. What is c(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 7*t**2 - 8*t - 6. Let y(p) = -p**2 + 7*p - 2. Calculate the remainder when k(-6) is divided by y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12055.4161 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -200 + 202 - ((-2)\/5)\/((-40)\/755) and -121\/5514.\nAnswer: 55140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -96687459, -193374906, -290062353, -386749800, -483437247, -580124694?\n\"Answer: -96687447*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 2*z. Let v(x) = 13*x**4 - 2*x**3 + 10*x. Suppose 0*d - 9 = -9*d. Let o(l) = d*v(l) - 2*r(l). Find the second derivative of o(n) wrt n.\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000100100111011111001 (base 2) in base 6?\nAnswer: 350031305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2\/5 - 20566*k + 4091060.\nAnswer: -2*(k + 17335)*(3*k - 590)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 2*s**2 - 4*s + 6. What is m(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -609, -4276, -13705, -31608, -60697, -103684, -163281, -242200?\n\"Answer: -452*s**3 - 169*s**2 + 4*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 199*y**2 - 64*y - 197. What is v(66)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/40 and 93\/11960.\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -937 + 937.0669. Let b = y + 0.6541. What is b rounded to two dps?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5344 - -25)*(-1)\/3?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*v - 4 - 2, 0 = 5*k - v - 15. Let x = -325 - -331. Suppose -n = 4*j - 21 - x, k*n - 29 = j. Solve -4 - n = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 67751685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by (-13)\/3*(-7)\/(7\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*p + 23, 0 = -p + 5*p + a + 13. List the prime factors of p*((-1 - -1) + -3 + -110).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*l + 14 - 2, -l - 3 = -m. Let h be (m + 4 + -5)\/1 + 0. Solve -4 = -3*u + h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**2 + 4*v. Calculate u(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:33 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - 39. Suppose 23*b + n = 28*b. Suppose -14*v = -b*v + 2. What is the closest to 0.5 in 0.3, 5, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 33302020321?\nAnswer: -33302020312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(1100) + sqrt(1100))**2 - (-6*sqrt(11)*-1 - (sqrt(891) + 1)**2).\nAnswer: 12*sqrt(11) + 133992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 1:40 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = g, -10 = 5*x + g + 2*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*i*o**6 - 77273*i*o**5 - 4*i*o**2 + 11*i + 13*o**2 - 30 wrt o?\nAnswer: 3960*i*o**3 - 4636380*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14374 rounded to the nearest ten?\nAnswer: 14370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide ((-1352)\/78)\/((-2)\/444)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*f**4\/3 - 94504*f**3 - 330821*f**2 - 443072*f\/3 - 17723 = 0. Calculate f.\nAnswer: -3, -1\/4, 17723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*r + 372*r = 195*r. Solve 107*p - 88*p - 133 = r for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - 3*k + (4 - 5 + 3)*(-2*k + 3*k - 3*k) + 3 - 3 + k)*(-2 + k - 2 + 2).\nAnswer: -7*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 21*h**4\/4 + 29*h**3\/3 + 107*h - 695. Differentiate p(j) with respect to j.\nAnswer: 63*j**2 + 58*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 7*b - 86 = 0, 0 = -674*d + 676*d - 6*b - 76 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752963.\nAnswer: 17, 67, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 956 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + 2122?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 237247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 233, 26, -11 in increasing order.\nAnswer: -11, -1\/9, 26, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -12. Suppose -m*t - 16 = -6. Sort -0.1, t, -0.5 in increasing order.\nAnswer: t, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (sqrt(288)\/(-2*sqrt(12)))\/((sqrt(648) - -1*sqrt(648)) + sqrt(8))*4.\nAnswer: -2 - 2*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 - 2*h - 1. Let a be g(-1). Let p be (4 + 0)\/(-4) - 2. Put 1, p, a in decreasing order.\nAnswer: 1, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45628*p**2 + 23626*p**2 + 23274*p**2 to the form j*p**2 + n + f*p and give j.\nAnswer: 1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68067 minus -3326.8073?\nAnswer: 71393.8073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l + l)*(-49*l**2 + 16*l**2 - 36*l**2) - 6*l**4 + l**4 + 3*l**3 + 3*l**4.\nAnswer: -71*l**4 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205358?\nAnswer: 2, 102679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67634.\nAnswer: 2, 7, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**2 - 1. Let k be t(-1). Suppose 0 = 6*b - b - 140. Let w = b + k. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-4 + 1)) + 1 + -3 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -0.2 (c) 1192.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9338871*5.4\nAnswer: -5.04299034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from uyxuhxhyhhyhuyhxhu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/170 and 93\/1258.\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89784287 by 277.\nAnswer: -324131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 899*y - 5094. What is x(5)?\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.618 + 0.118. Let h = -70 + 768\/11. What is the closest to 0 in d, 1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-16)\/(-10))\/(-2))\/(-2))\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -23*m**5\/5 + 3*m**4\/4 + 58*m**3\/3 - 309. Find the third derivative of n(q) wrt q.\nAnswer: -552*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 14 + 14.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1138*f - 1150*f**3 - 1168*f**3 + 2316*f**3)*(5 - 3*f - 6 - 3) in the form u*f + h*f**3 + a*f**4 + d*f**2 + x and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/33 and -5\/366.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.52 times -49263\nAnswer: 25616.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*d + 13, 2*t + 0*d + 2*d = 2. Suppose -5*c + 15 = -t*a - 3*a, -4*c + 15 = -5*a. Let i be a - (-1)\/((-3)\/(-18)). Solve 2*n - i*n = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, s: 2}. What is prob of picking 1 s and 1 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + ((-96)\/(-20))\/2. Which is the closest to v? (a) -4 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00515771 rounded to five decimal places?\nAnswer: 0.00516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f - 4. Let j be z(6). Suppose 0 = j*i + i - 78. Let k = 39 - i. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 0, 3\/19, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 4, 0 = -2*s + 5*t - 13. Let u be (250*s)\/(-4 - (-102)\/24). What is u rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 463 - 466 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 612*t - 7355. Determine g(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 8*q**4 - 4*q**4 + (-3*q**4 + 2*q**4 - q**4)*(169 - 83 - 118) + q**4 - 2*q**4 + 2*q**4 + (2 - 5 + 2)*(6*q**4 - 3*q**4 + q**4).\nAnswer: 53*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 6*w + 11. Let t be q(-6). Let l(c) = 2*c + 13. Determine l(t).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z - 2 = 0. Let p be 66 - (z - (-3 + 1)). Suppose 18 + 0 = 3*c. Calculate the highest common factor of p and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4469380 - -8229380. Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39389 + -39390. What is the third biggest value in a, 572, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 171\/7*t**3 + 90\/7 + 9\/7*t**4 + 63*t + 569\/7*t**2 = 0. What is t?\nAnswer: -15, -3, -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 69 = 3*q. Let i = -342\/5 - q. Which is the closest to 0.02? (a) 0 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(0 + 2 + 4)*(-u + u - 2*u)*(-2*u + 0*u + 0*u).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/6 in -2\/15, -12, -0.1, -28, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 3*h + 0*h)*(1 + 1 - 3 + (-3 - 1 + 5)*(-1 - 1 + 7) + 4 - 3 - 2).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/9 - (4 - 170\/45). Does 13 divide (k - -30)*(1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10897 + -5348. Let l(n) = j - 5549 + 20*n**2. Let z(w) = -w. Determine l(z(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1, 2414, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133\/(-126))\/(-19)*4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 + t + 2. Let c be r(3). Let g = 1321\/1986 + 1\/662. What is the closest to -1\/3 in g, c, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 + 4*i + 1. Let a be j(3). Let u = 97 - a. Solve -k + u = 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/7 + 1508*o\/7 - 7590\/7 = 0. What is o?\nAnswer: -759, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 1 - h**3 + 1\/4*h**4 + 3*h**2 + 44*h. Let i(v) = 8*v**2 - 17*v + 17. Give 11*a(z) - 4*i(z).\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 581577*u**3 + 9*u + 10297.\nAnswer: 3489462*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -36682 (b) 2\/7 (c) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k*k\/(k*k\/(k**12\/k)*k*k)*k)\/k)\/k*k)\/(k**(-18)\/k*k)*(k**17\/k)\/(k*k\/k**(1\/7)))**(2\/137) assuming k is positive.\nAnswer: k**(604\/959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -33. Sort 3, 5, m in increasing order.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.22 (b) 2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 88245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2134 - 2110. What is the nearest to -0.1 in 3\/2, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 - 1 - 2 + 16*j**2 + 15*j**5 wrt j?\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 a factor of 38773500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13\/5, 1, -131\/8?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197\/19 + 1417\/133. Let w = 4.89 - -0.11. Which is the third biggest value? (a) 4\/7 (b) w (c) -0.5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162600 is divided by 40475?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -358\/69, -2\/11, 0.11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*d + 103 - 90, 0 = -5*l + 4*d + 141. Calculate the least common multiple of l and (15\/(-2))\/((-2)\/8).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 156 = 4*g, 5*f - 4*g - 342 = 454. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.881599um to millimeters.\nAnswer: 0.000881599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 169330 divided by -574\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f + 1. Let c be a(2). Suppose -5*m - 26 = h, c*m + h + 2 = 2*m. Let t be (1 - m) + (3 - 3). Solve -3*z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86250 and 30?\nAnswer: 86250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 10*c + 24 = 0. What are the prime factors of (-4)\/c*-69 - 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, a: 2}. What is prob of sequence vava?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -2*y**3\/3 + 40. Suppose 0 = -0*t + 2*t + s - 3, -4*t - 6 = -2*s. Let p(g) = t*g**2 - g**2 + 5*g**2. What is i(p(f))?\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79 and -6645.92.\nAnswer: -6566.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0 + 1\/60*h**5 + 0*h + 1\/3*h**3 + 8*h**2 + 1\/8*h**4. Let w(k) = -k**2 - k - 1. Let r(a) = -g(a) - 2*w(a). Calculate r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1750 <= -1751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1808\/(-452)*6\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4262 + 425 = -130*u + 453 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:19 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 79*p**2 - 285*p + 36213. Give a(81).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - d - 29, 3*q + 2*d + 34 = -q. Let v = 10 + q. Solve 12 = c - 3*k, 2*k - k = -v*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3077.207 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63.2 + -63.6. Sort a, -4\/5, -3, 3 in ascending order.\nAnswer: -3, -4\/5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*4\/(-8) - -1 - 3. Solve -f*t = 2*y - 10, 0 = y + 4*y - 3*t + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/3))\/a**(2\/3))\/(((a**1\/a*a)\/a)\/a**(-2\/9))*a**(-4)\/((a**6\/a)\/a*a)*a**(1\/7)*a\/((a\/(a\/a**0*a))\/a) assuming a is positive.\nAnswer: a**(-341\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 4 - 4*j + 6\/5*j**5 + 0*j**3 + 0*j**2 + 0*j**4. Find the first derivative of r(d) wrt d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41214 and 18?\nAnswer: 123642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825*d**3 - 114 + 114.\nAnswer: -1825*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272110078 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6. Let a(p) = -1. Let g(s) = -5*a(s) - t(s). Let r(y) = 2*y + 2. Suppose -x + 3*x + 5 = 3*k, k + 2*x = -1. What is k*g(f) + r(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -2\/33, -8660?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-1 - 0))\/(4 - 6). Let n = 2 + -1.7. Which is the closest to w? (a) n (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2470910*w**2 - w - 2. Let q be o(2). Let g = q - 21383636. What is g rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -9. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 362213 * -101.\nAnswer: -36583513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + sqrt(425) + (sqrt(425) - (sqrt(425) + -1)) + sqrt(425) + -3 - (0 + sqrt(425) + -1 + (sqrt(425) - 1*(sqrt(425) - 2*sqrt(425))))))**2*-4.\nAnswer: -1844 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4189 = 4*h, -h + 5*z + 1048 = 4*z. List the prime factors of h.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.12 + -5. Let h = -4.88 - g. Let i = 5974 + -5977. Which is the second smallest value? (a) -2\/9 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 761 - 0?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2 = -310. Suppose h = -4*u + 4*q, -q - 46 = 4*u + q. Let g be 2*(-6)\/(u\/5). Solve 0 = -0*r + r - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(5 + (sqrt(121) + 6*-2*sqrt(121))\/(sqrt(44)\/(sqrt(36) + sqrt(4)) - sqrt(11)))*3)**2.\nAnswer: 63360*sqrt(11) + 1033008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 14*g - 5. Suppose 42 = 3*j - 5*n - 8, 8 = -2*n. Is s(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2519 - 6539 = -10*q. List the prime factors of q.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -55501.\nAnswer: -55500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -532 + 4a?\nAnswer: -4c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 26 = 8*o. Let w = 24 - 6. Calculate the highest common factor of w and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*o = 7*w + 32, 0 = 2*o. What are the prime factors of (-2)\/4 + (-100)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*s**2 + 19*s**2 + 7*s**2 + 21*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 56712*k + 268020912.\nAnswer: 3*(k + 9452)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -91*l - 101*l - 108*l**2 + 180*l + 112*l**3 + 8.\nAnswer: 4*(l - 1)*(4*l - 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-33)*z**(1\/15))\/(z\/z**(-28)*z**35))**(2\/31) assuming z is positive.\nAnswer: z**(-898\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - j + 11233, -5590 = 5*h + 2*j - 24312. Suppose 17*v = 41*v - h. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h = -3*o + 6, -89*h - o + 2 = -86*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5 + 10. Let o be (y*3\/54)\/(12\/(-27)). Which is the third smallest value? (a) o (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 j when four letters picked without replacement from {j: 9, k: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y - 10. Let h be a(8). Let d(v) = -v - 12. Let p be d(-7). Let f = 13 + -8. Sort f, h, p.\nAnswer: p, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/49 + 4\/14. Suppose -f - 14 + 40 = a. What is the units digit of ((-4)\/(-4))\/(2\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -0. Solve -21 = -5*s + q, -q = s - c - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282964 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 69. Suppose 71 - 99 = -t*z. Solve 8 = 18*x - z*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 743, 688, 601, 482, 331?\n\"Answer: -16*i**2 - 7*i + 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*(-16 + (-30)\/(-5)). Solve 0 = 3*s - 0*s + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 39\/8, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -1 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 96. Let u(f) = -f**3 + 11*f + 5. Let s(t) = 2*t + 1. Let c(i) = -i**2 + 12*i. Let j be c(11). What is j*s(a) + q*u(a)?\nAnswer: 2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 4) to base 7.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 5:47 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 30*x - 29*x - 982337, -5*q + 4*x + 701641 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u, -3*q + 32 = -u - 212. Solve 8*v + 49 - q = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9)\/((-12)\/(-9)) + 1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/2 + 9. What is the nearest to d in 1\/6, -4, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 324*c*d**2*p**2 - 5*c*d**2 + 1293*c*d*p**2 + 6*c*d*p + c*p**2 - 1230*c*p + 6217*d**2*p + 2*d*p wrt d.\nAnswer: 648*c*p**2 - 10*c + 12434*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293234964 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142 + -147.73. Let v = -23 + 29. Let c = v + j. What is c rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-6896)\/(-4) - -2 - -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 7 + (4 - 4 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 195. Suppose 0 = -18*k + 22 + 104 + 180. Suppose -k*r + 4*r = -w. Calculate the greatest common divisor of 2 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*j = -716*j + 70 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d*(d**(4\/17)*d)\/d*d*d*d)\/d*d*d)\/d)*d**(-10)*d*d*d*d*d**(5\/8)*d*d**(-12))**(9\/2) assuming d is positive.\nAnswer: d**(-24003\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 6062045*v**2 - 1837446758000*v + 16536529800000.\nAnswer: -5*(v - 606200)**2*(v - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**8\/42 + h**5\/6 - 10*h**2. Find the third derivative of n(r) wrt r.\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-57) + 4372449\/19 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p**2)*(-5 + 5 - 8*p) + 2127*p**2 - 12*p - 2*p**3 - 2127*p**2 + 2 - 2 - p**3.\nAnswer: -11*p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 36*t - 64324 = 0. Let w = -11304 + t. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71474 - 130185 - 2*s + 3*s.\nAnswer: s - 201659","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t - 5*t, -t - 73 = -2*q. Let y = q - 19. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 14091252*k + 74461268597814.\nAnswer: 2*(k - 10568439)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(2))*-2 - 4*sqrt(8)).\nAnswer: -2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16146 or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-88)\/(-33)*24\/2. Let x = -30 + i. Is (x\/(-5))\/((38\/420)\/(-19)) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 1:57 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4090*v**2 + 7873?\nAnswer: 8180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - (-42 + 83 - 72).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115973491 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 139*r**2 + 138*r**2 + 2*r to the form x*r + n*r**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*v - 42, -5*b - 4*v = -143 + 353. Suppose 0*j + 4*j = 2*t - 190, 3*j - 312 = -3*t. Let m = t + b. What are the prime factors of m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m - m**4 + (33*m**2 - 229*m + 229*m)*(2*m + 14*m**2 + 28 - 28).\nAnswer: 461*m**4 + 66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888308133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9724 is divided by 3235.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 - 3*f - 7. What is m(-7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149856 and 21631.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efr when three letters picked without replacement from {e: 3, f: 9, o: 1, y: 1, v: 1, r: 3}.\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133218 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and 1886?\nAnswer: 16974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.1, -3, 1341663?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66996, -134106, -201216, -268326?\n\"Answer: -67110*o + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 84. Suppose i*h - 4 - 4 = 0. Solve -h*v + 4*l = 3*l - 9, -v = l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -65. What is the third biggest value in -1\/6, z, 24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2040 and 25254520.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000257401 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/(-55) + -5*(-17)\/(680\/(-24)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**2 - 6*r + 12. Let y be d(3). Let u = y - -236\/3. Find w, given that -2*w + 2*w**2 + 2\/3 - u*w**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/3 and 42\/41?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3635 divided by 727\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) + sqrt(102))*-6 + -4*sqrt(102)*2)\/(sqrt(42)\/(sqrt(175) + sqrt(175)*2)).\nAnswer: -300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:17 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(450)*1 - -2*sqrt(450)*-4)\/(((sqrt(72) + -2*sqrt(72))*-3)\/sqrt(8)))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 14 = v, 7*q - v - 16 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/120 - v**5\/10 + v**4\/12 - 3*v**3\/2 - 3*v**2. What is the units digit of j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 19. What is the tens digit of y(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.04359 + 0.04359. Sort 0.2, -5\/3, -2\/409, f, 4.\nAnswer: -5\/3, f, -2\/409, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636341 and 41311.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.945 + 16.945. Let x be (-2 + (-15)\/(-8))*-1. Which is the fourth smallest value? (a) 2 (b) 2\/5 (c) i (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - 21.95. Let d = 21.6 + n. What is d rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604\/3 + (-72)\/216 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = g + 15, 2*p - 2*g = 20. Suppose 2*m - 70 = -2*d, 7*m - 58 = p*m - 5*d. What is the remainder when m is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.27, 3, 0.3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006052 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21789 + -21721. What is the remainder when 2446 is divided by j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 3*u - 10. Let o(v) = -v**2 - 4*v + 11. What is 6*m(r) + 5*o(r)?\nAnswer: r**2 - 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33813224 to the power of 1\/2, to the nearest integer?\nAnswer: 5815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19157 to the nearest 100.\nAnswer: -19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {j: 2, c: 2, g: 5, a: 8}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 28 = 36. Let q = f + 31. Let i(b) = b. Let j be i(-2). Sort q, 2, j in decreasing order.\nAnswer: 2, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -72, 62, 322, 750, 1388, 2278?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*p + 2)*(0*p + 3*p - 4*p) + 0*p**2 + 0*p**2 - 4*p**2 in the form x*p + f*p**2 + m and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3 - 57 - 3) + (51 - (93 + -46))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -37336*c - 634685. Determine n(-17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h - 2. Calculate the lowest common multiple of d(2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36720436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 - -3 - (-1 + (-5323)\/1065). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w - 4*x - x + 317 = 50*w, -945 = -5*w - 15*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.61327157 rounded to 2 dps?\nAnswer: 32.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 24. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*h**2 - 2*h - 28*h**2 + 0*h)*(-55*h**2 - h**2 + 19*h**2 + (-2*h**2 + h - h)*(-4 + 0 + 5)).\nAnswer: 195*h**4 + 78*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l + 3*l)*(-4871 + 4871 + 656*l**2).\nAnswer: 1312*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/42*-3)\/(272\/833).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7029 is divided by 2918.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -14.2, -5, 5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 73.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - (8 - 13)) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450 divided by 150.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 - 4 + 4)*((3 + 0 + 0)*(2*a**2 - 2*a + 2*a) + 3*a**2 + 12 - 12) to b*a**4 + o*a + s*a**3 + v + f*a**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53340 (base 9) to base 5\nAnswer: 2112041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48433271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/4 + p**5\/60 - p**4\/12 + p**3\/3 - 5*p**2 + 10. Determine o(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 29483*n**2 - 2 + 30221*n**2 - 11730*n**2 + 8078*n**2.\nAnswer: 56052*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*n = -5*n + 367 - 63, -5*x + 5*n - 524 = 14*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -208*a**4*q - 283*a**2*q + q + 88702 wrt a.\nAnswer: -832*a**3*q - 566*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n - 235 = 123*n - 2182 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12737658 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1, -13.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51\/20 - -7\/10. Calculate the common denominator of (28\/(-10))\/(100\/(-1375)) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*z = -11 - 24, 2*z + 13 = x. Let u(w) = w**2 - w - 3. Let v be u(x). Let y = 1 + -2. Which is the third smallest value? (a) v (b) y (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5 - 2*d + 3*d - 4. Let x(z) = -14*z + z**2 - 326 - 9*z + 398. Let l be x(19). Let c(t) = -3*t - 3. Determine l*y(r) - c(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 + 1 + 4*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1000 + -1429. Let c = r + 428.721. Let d = c + 0.2790605. Round d to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36596, -73677, -110760, -147845, -184932?\n\"Answer: -p**2 - 37078*p + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 5*s. Let i be f(5). Let p be 4*((-4)\/(-48))\/(12\/8). Which is the closest to i? (a) -4 (b) p (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4353 + 4361. What is the nearest to 0.6 in -2, -8, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 112 + 84*v**2 - v - 261*v**2 + 90*v**2 - 108 + 86*v**2. Give n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -50. Let k(y) = y**3 - 4*y**2 - 10*y + 40. Suppose 3*v = 2*v + 18. Calculate the remainder when k(c) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -29. Let a = h + -11. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4792 and 1797?\nAnswer: 14376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 2*h**2 + 188*h**3 - 186*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -41. Find the third derivative of 6544*l**h + 7*l**6 - 196*l**2 + 12*l**4 - 6544*l**3 wrt l.\nAnswer: 840*l**3 + 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 2*x + 1. Let l be a(1). Suppose 0*j = -0*j - 8*j. Solve j = -4*z - l*q + 3 + 13, -5*z + 25 = 5*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -336. Let m = 325 + q. Let r = 0.03 - 0.33. Which is the smallest value? (a) -0.1 (b) 3 (c) m (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 1)*(-v + v - 2*v**3) - v**3 - v**3 + 0*v**3 + 63*v**3 + 17*v**3 + 53*v**3.\nAnswer: 127*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 17. Let k = -36.433 + 0.333. Let m = 36.6 + k. Which is the closest to u? (a) m (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7977151 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 5*a + 26 - 35, 8*a = b + 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2491.026mm?\nAnswer: 2491026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q + 72. Let k be (-4)\/12*27\/q. Sort 5, k, -1.\nAnswer: -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from {s: 2, x: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1551 - -1560. Solve 5*o = -h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 50*u = -2914. Solve 12 = 43*w - u*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-39)*(-6)\/(-8)*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -22. Suppose j = 2*j - a - k, -j = -4*a - 2. Find the third derivative of g**j + 4*g**3 - 3*g**2 - g**2 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 + -33 + -6. Let c = v - -39. Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3300 and 121\/20400?\nAnswer: 224400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + v)*(3*v - 2*v - 3*v + 3).\nAnswer: 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 + -220. Let l(q) = 6*q**3 - 3 + 8 + 1 + 3*q - f*q**3 - 3*q**2. Calculate l(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4352 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o*w*y**3 + 8*o*w - 16446*o*y**3 + o - 31*w*y**3 - 15*w*y + 2*y**3 + 4719*y**2 + 3*y - 3 wrt y.\nAnswer: -24*o*w - 98676*o - 186*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2878*v - 2868*v = -52, -v - 2 - 13 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -p + 11 - 14 - 10, -5*q + 25 = -p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171 - 533 = 71*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.19. Let s = w + 0.41. Let h = -1.4 + s. Is h at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((3\/8)\/((-6)\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4942*w**3 - w + 10925 wrt w?\nAnswer: -14826*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 27\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 13. Suppose 18 = -2*s - 5*w, -2*s + 3*w - 18 = -0. Let o be h(s). Which is the second smallest value? (a) 0 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2803820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/8 + 3*j**2\/8 - j\/4.\nAnswer: -j*(j - 2)*(j - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**3\/3 + 6*y**2 + y. Let i be v(8). Let g = -551 - -550. What is the third biggest value in 0.3, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74663, 74659, 74655, 74651, 74647, 74643?\n\"Answer: -4*g + 74667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 22 + (16 + (-18 - 17) - -11) - -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2\/2 + 4*f + 3. Does 4 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77 - 65) + (-2 - 0 - (3 + -7)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -0.3, 1655, -0.03 in descending order.\nAnswer: 1655, 113, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/11)*x**11)\/(x*x**(1\/3)\/x*x*x\/x**(-7)*x))**(14\/3) assuming x is positive.\nAnswer: x**(140\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 210.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 - (-408)\/56 - 540\/27.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + 394464060.\nAnswer: 394464059.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:57 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.3, -13, 0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41974752.\nAnswer: 2, 3, 437237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377221600 rounded to the nearest 1000000?\nAnswer: 2377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 39, -4\/9 in decreasing order.\nAnswer: 39, -4\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 629204 and 2653768.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 u when four letters picked without replacement from kkkueuukaee?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 13*z + 128. Give l(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 4\/(-2))*-1. Let h = 10 - 5. Let g = 0 + h. Which is the smallest value? (a) g (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/(h**(2\/13)*h))\/(h*h**(-4)*h**(-2\/21)))**(-14) assuming h is positive.\nAnswer: h**(-514\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*n - 120178 = -117112. Let y(k) = 3*k**2 + k - 3. Let i be y(-3). What is the highest common factor of i and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -37 in decreasing order.\nAnswer: 4, 2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006955866 rounded to five decimal places?\nAnswer: 0.00696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 84243?\nAnswer: -84239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137490914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 1:06 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d + 21*d - 53*d = -14809053. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64976000 rounded to the nearest one hundred thousand?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2\/4 + 192*d + 17325\/4 = 0.\nAnswer: -231, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**33*q)\/(q**(3\/7)*q) assuming q is positive.\nAnswer: q**(235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57577 - -97827. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1328 + 0.0428. What is the closest to o in 0.2, 2\/17, -0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-6))\/(92\/(-138)). Let z be 272\/72 + 2\/9. Solve -9 = -3*r - z*v, h*r = 4*v - 4 + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 20*p**2 + 25*p + 52. Let s be b(20). Suppose 181*j + s = 189*j. What is the remainder when 113 is divided by j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:18 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011118 rounded to four decimal places?\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 11 - 25 + 6*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + 14. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53013661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 3787.\nAnswer: 15148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 - 3*o**2 - 25*o + 5. Let j be u(0). Suppose 31\/3*h**2 - 22\/3*h - 23\/3*h**4 + 29\/3*h**3 - 7\/3*h**j - 8\/3 = 0. What is h?\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 40264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70555 or -493884\/7?\nAnswer: -493884\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a0 (base 15) to base 10.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 503 = 5*d, -d + 0*d - 5*r + 89 = 0. Let u = -104 + d. What are the prime factors of u + (3 + 76)*1?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2. Suppose 5*s - 39 = w - 4*w, 3*w = -2*s + 21. Let b(n) = 5*n - 7. Let u(z) = 2*z - 3. Let t(k) = s*b(k) - 14*u(k). Determine j(t(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 256?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 233. Let q(f) = f + 52. Let h(k) = -9*q(k) - 2*w(k). Give h(-17).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-448*s**2 + 561*s**2 + 784*s**2)*((-s**2 + 0*s**2 - s**2)*(-1 + 1 + s) - 2*s**3 + 3*s**3 - 2*s**3).\nAnswer: -2691*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22429 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 2*b + 3\/4*b**4 + 0 + 1\/20*b**5 - 2\/3*b**3 + 0*b**2. Let i be l(-9). What is the greatest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 12*f = 38 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -35, 25, -3, -12 in descending order.\nAnswer: 25, -3, -5, -12, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 - 8*j**2 - 7*j + 1. Let o(t) = t**3 + t - 1. Let n(d) = 3*o(d) - y(d). Let w be n(9). What is the highest common factor of 15 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -33 - (0 + 0\/(-1)). Suppose -5*x + 0*x + 17 = y, m = 5*x - 4*y. What is the closest to 1 in x, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -9*h - 2*v + 20, -5*h - 11*v + 65 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -23*u**3 - 2*u**2 - 2*u - 1. What is the remainder when g(-1) is divided by (0 - 3)\/(3\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(6\/7)\/((i\/((i**(-1\/10)\/i)\/i))\/(i*i*i**(-3\/5)*i*i)) assuming i is positive.\nAnswer: i**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16006 - 8997. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 0.166?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 1:03 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**3 + 16*t**2 + 10*t - 54. Let v be r(7). Suppose v = 2*w - p, -11*p - 15 = -14*p. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/90 and -33\/224.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96808320 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - g + 6*g)*(269*g**2 - 537*g**2 + 908*g**2)*(-1 + 0 - 1).\nAnswer: -1280*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*c + 5. Let a = c - -5. Suppose 4 = 5*o - 16. Solve a = -3*r - 4*k, -4*k = 3*r - 5*k - o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6\/12 + 7*i**5\/10 - 19*i**4\/8 + 25*i**3\/6 - 4*i**2 + 2*i + 1902. Determine w so that c(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 - 175. Suppose -4*z + 3*i + 3 = z, z - 15 = -b*i. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -129740, -129696, -129632, -129554, -129468, -129380, -129296?\n\"Answer: -p**3 + 16*p**2 + 3*p - 129758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 15*i**2 - 14*i + 11. What is the remainder when l(16) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**3 - 1097*y**2*z**2 - 2831*y*z**2 + 4*z**2 wrt y?\nAnswer: -6*y - 2194*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 163 - 13?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/3, 0.05, -370?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + (-10 - (0 + 0 + -6 - (-186 - -181))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 11. Let s(o) = o**2 + 8*o - 7. Let a be s(l). Let c be (a\/(-7))\/(1\/(-7)). Solve 2*x + c*r - 2 = 0, 0*r + 2*r = x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16111086?\nAnswer: 2, 3, 23, 116747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3639, -7278, -10917, -14556, -18195, -21834?\nAnswer: -25473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -18*w. Let c(g) = 2*g**2 + 2527*g - 2. What is c(o(v))?\nAnswer: 648*v**2 - 45486*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 485711\nAnswer: 17\/485711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -265 + -154914?\nAnswer: -155079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7\/3 (b) -1\/9 (c) 4 (d) 12 (e) 0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 20.2. Let c = 3 - a. Let d be 8\/(12\/3)*6\/(-30). What is the biggest value in 1\/19, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 64 = 4*v, 11*v - 9*v - 16 = -2*i. Solve 8*t - 6 = -a + v*t, 3*a = -5*t - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.949 plus -4?\nAnswer: -4.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1\/11, -0.7, 0, 8192, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 487 + -488. List the prime factors of j\/(15245\/(-1905) + 8).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23820112 and 9952?\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43604 is divided by 258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*d**2)*((-d + 0*d + 0*d)*(4 + 2 - 7) - 2*d - 3*d + 6*d + 8*d + 14*d + 14*d).\nAnswer: 76*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(60)\/sqrt(5))\/sqrt(6)*6)**2 + 1.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**4 - 6*u**3 - 6*u**2 - 21*u - 6. Let v(h) = h**4 - h**3 - h**2 - 1. Let s(r) = i(r) - 6*v(r). Find the second derivative of s(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.089 + -0.089. Let z = -24 + n. Which is the third biggest value? (a) -5\/3 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5157079 is divided by 573003?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -184*r + 1317. Determine y(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -35*a**3\/3 - 5*a**2\/2 + 1139*a + 749. What is the derivative of u(l) wrt l?\nAnswer: -70*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 2)\/(2\/(-4)). Suppose -t*h + 5*h + 745 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756640762 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253347.\nAnswer: 1253347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 2*d**3 - 51*d**2\/2 - 11*d - 33. Let g(n) be the first derivative of q(n). Does 15 divide g(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401, -807, -1215, -1625, -2037, -2451, -2867?\nAnswer: -3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000914 rounded to six dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.4 and -0.89.\nAnswer: -3.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232651484.\nAnswer: 2, 3, 34240319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 145, -13.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -777*z**3 + 192 with respect to z.\nAnswer: -2331*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 210 * -22\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {b: 3, h: 3, o: 3, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:14 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*h + 32*h + 33*h + (1 - 2 + 0)*(0*h + h + 0*h) to i*h + l and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 - -20096505?\nAnswer: 20096724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836583?\nAnswer: 3, 11, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/812820 and -111\/17480.\nAnswer: 1625640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 4 - 3*c**2 + 0 + 2 + 0*c**2 in the form t*c**3 + q*c**2 + p*c + k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 22. Let r(g) = 3*g**2 - 73*g + 16. Let f be r(24). Let m(l) = -7. What is f*m(h) - 3*o(h)?\nAnswer: 3*h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512090829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 21*w + 40. Let t be s(-8). What is the nearest to t in -5, -23\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004314824 to 5 decimal places.\nAnswer: -0.00431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 56 * -3092\nAnswer: -173152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*q**5 - 24*q - 2 wrt q.\nAnswer: -3540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 20\/(-30)*(0 + -36). Calculate the highest common divisor of m and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 402*w + 437. List the prime factors of r(4).\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 104*c**2 - c. Let n(t) = 33*t - 19*t - 16*t. Calculate s(n(m)).\nAnswer: 416*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, -4, 66 in ascending order.\nAnswer: -5, -4, 2, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 8*t**2 + 17*t + 98. What is j(-5)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - k - 287 = -4*k, -x - k + 71 = 0. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/(3\/(-30)). Suppose p = 2*p + 4*u - 18, -3*p + v*u = -22. Let a = 21 - -8. Calculate the remainder when a is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -12, 3, 32, 0, -4 in descending order.\nAnswer: 32, 17, 3, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times -0.3\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 0)*3\/4. Let q(j) = -j + 12. Let o be q(g). Solve 4 = o*d - v - 3*v, 0 = -2*d + 2*v + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1114.3 - -1113.6. What is the biggest value in -84, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 4437753?\nAnswer: 4437764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 1\/270*b**5 + 16\/3*b**3 + 0 - 2\/9*b**4 - 127*b**2 + 0*b. Determine a, given that w(a) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -13 + -6 + (1 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 50. Suppose -3*a + 2 = b - 0, -3*a = 5*b - r. Suppose -2*x + t = -15, -3*t + a*t = -3. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5896.301 kilometers to micrometers.\nAnswer: 5896301000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7095677 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**(-5\/3)*(g*g**5*g)**(-50) assuming g is positive.\nAnswer: g**(-1100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -343*q + 1976. Is 15 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3259*h**3 - 3*h + 1595*h**3 + 3*h + 1666*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(4\/(-2))\/6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 57, -2\/5, -2, 82?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 879637 - 0.79.\nAnswer: 879636.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 3943*c**3\/3 - c**2 - 11261*c - 11641. What is the second derivative of g(s) wrt s?\nAnswer: 7886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -42 + 160 - 42 + 13*m - 39 - 31. Let k(x) = -x. What is z(k(i))?\nAnswer: -13*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7518321 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 0. Let i = -63 - -54. Let a be 3\/s*(7 + i). Put a, 1\/2, 2\/9 in increasing order.\nAnswer: 2\/9, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -535326865*i*p + 790252019*p wrt i.\nAnswer: -535326865*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -286, -14\/43, 1, 5?\nAnswer: -14\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/65 and -93\/40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**3\/7 + 573609*g**2\/7 + 382409*g\/7 + 9105 = 0.\nAnswer: -1\/3, 63735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727727721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8322*l**4 + 59 + 176 - 8235*l**4 with respect to l.\nAnswer: 348*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4038.11 from 0.7939252.\nAnswer: -4037.3160748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 2 - 30 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -110873\nAnswer: 665238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (49\/(-14) - 4)*(-12)\/(-165). Let n = -0.1 - -0.6. Which is the closest to w? (a) n (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4647 - -4648. Sort -4, 88, l, -5 in descending order.\nAnswer: 88, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 13*k**2 + 49*k - 299. Let i be s(11). Suppose -3*a + 6 = -a, 5*a = d + 5. Let r = d + -5. Sort 0, 3, i, r in decreasing order.\nAnswer: r, 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271682 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: What is the greatest common factor of 1343 and 561357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + a - 1)*(-128*a + 126*a - 286*a) to the form v*a**2 + x*a + f and give v.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + sqrt(504)*-2 + 2*sqrt(224)\/sqrt(4))\/(sqrt(512) + 4*(sqrt(512) - sqrt(512)*2)) + -3 + 4)*1.\nAnswer: sqrt(7)\/24 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492852380 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1626 + -549. Let h = z + -258. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6188 (base 15) to base 13.\nAnswer: -172b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*x = -92, -4*x - 60 = o - 5*o. What is the remainder when ((-99)\/(-6))\/(6\/8) is divided by -6 + -3 + (o - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2864543 - -2864547.099899. Let c = s + -4.1. What is c rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/((-2*sqrt(32))\/sqrt(8)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2 + 8030*o - 8032 = 0. Calculate o.\nAnswer: -4016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - p + 4*p - 4046 + 4044 = 0, 6*b - 5*p - 12 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/q**4*(q*q\/q**(-2\/7))\/((q**3*q*q)\/q)*(q**(-7\/3)\/q*q**(-7))**(-16) assuming q is positive.\nAnswer: q**(3268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -318747*k - 637491. What is f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/(k\/k**(-10)))\/k*k*k**(-11\/2) assuming k is positive.\nAnswer: k**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2. Let c(a) = a**2 + 13*a. What is b(c(d))?\nAnswer: d**4 + 26*d**3 + 169*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28486651 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/9)\/((-2)\/12). Let k be 20\/(-30) - l\/(-6). Solve 5*h = 4*o + 6, 2*h - o = -k*o + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 165892 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -708.1 + 708.1. What is the closest to x in -1, 15, -4\/9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-165*w + 438*w - 169*w - 248*w)*(0*w**3 + 0*w**3 - 6*w**3) in the form h + r*w**3 + j*w**2 + c*w**4 + k*w and give c.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 36 = -2*z, -5*h + 5853066 = 4*z + 5853018 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let m be d*3\/(-6) - -3. Suppose -4*u - m*x = -11, 2*x - 6*x + 20 = 0. Let a(b) = -8*b**2 - b - 1. Calculate a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 411621.\nAnswer: 4939452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -395 + 381 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**7\/84 - r**6\/30 - r**5\/8 + r**4\/4 - r + 78. Factor k(p).\nAnswer: p**2*(p - 3)*(p - 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -18 - (-16 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27, 1, -1, -136 in decreasing order.\nAnswer: 27, 1, -1, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113679 = -48*c + 92109 + 146100. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 87 in increasing order.\nAnswer: -3, 9, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-18 - (-42 - -8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y + 78 = -98. Let m(z) = -9*z**2 + 4*z. Let p(l) = 9*l**2 - 5*l. Calculate y*p(c) + 5*m(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -113020691528 - 5?\nAnswer: -113020691533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 8*a**2 + 8*a - 5. Let t be h(7). Factor -1 + 4*q + 2*q - 3*q**2 - t.\nAnswer: -3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:05 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82754, 165126, 247498, 329870, 412242, 494614?\nAnswer: 576986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + 6 = -3*j, 2 = 4*u - 5*j. Let o be (-235)\/(1\/6*u). What is o rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 208807380867.27?\nAnswer: -208807380867.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/132 and 77\/3296?\nAnswer: 108768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-3)\/6 + (-55)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -555, -2\/3, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 15. Let s = 1065\/2138 - -2\/1069. Which is the second biggest value? (a) -1 (b) s (c) -0.1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.2077 - -53.7821. Let b = 91 + -17. Let s = b - j. What is s rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doddoddcfcddodcdod. What is prob of sequence cc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74298?\nAnswer: 2, 3, 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 29 = -5*h. Suppose -8*f + h*f + 15 = 0. Let a(z) = -z**3 + 5*z**2 + 5*z - 6. What is a(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 31*q**2 + q + 7. Determine v(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*x + 5 = -2, 0 = -4*x + 8. Let g(s) = -s**3 + 5*s**2 + s + 1. Let b be g(5). What is the least common multiple of (-2)\/(-6) + 46\/b and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 47 = 50. Suppose -5*n = 5, q*t - 67 = -5*n + 3*n. Solve t - 7 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 178089, 4 in descending order.\nAnswer: 178089, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3399913 and 2959?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(325) + -3 + sqrt(39)\/sqrt(3) + -4*sqrt(13)*2)**2.\nAnswer: -228*sqrt(13) + 18781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 22600824?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727373085?\nAnswer: 5, 53, 73, 89293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33593 is divided by 8280.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32845 plus -0.1?\nAnswer: 32844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 11*d = 115 - 129, d + 1 = 2*b + 15 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2)*(-19663 + 0*n - 5*n + 19659)*(26 + 0 - 10).\nAnswer: -400*n - 320","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3831*a**3 + 3832*a**3 - 10*a**2 + 10*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1437 - 483. Let z be -3 + q\/15 - (-3)\/(-5). Suppose -85 + 1 = -3*h + 3*l, h - 2*l - 32 = 0. Calculate the greatest common divisor of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -38. Suppose -4*d - 3 = f - 8, 0 = -5*f + d + j. What is the third derivative of 5*m**f - 4*m**5 + 3*m**2 - 4*m**5 wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20310752*s**3 - 30113107.\nAnswer: 60932256*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 179*k**2 - 11*k - 316. Let g(i) = -198 + 2*i**2 - 2*i + 135 + 34*i**2. Let s(a) = -11*g(a) + 2*v(a). Differentiate s(w) with respect to w.\nAnswer: -76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and -14252.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3371\/7 - 475. Let y = 811873\/6 + -134962. Let c = y + -356. What is the common denominator of a and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76964680 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:38 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 8*i**2 + 52*i**3 + 21*i**2 - 14*i**2 - 3 + 2 to the form j*i + f*i**3 + b + l*i**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 5 = 6*r. Let k(s) = 4*s - 10. What is the units digit of k(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 2*t - 15*t + 2*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or 2\/3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4\/4 + 2*x**3 + 7*x**2\/2 + 4*x + 2. Let c be m(7). What are the prime factors of (1 - c)\/((-3)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 11:44 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3858, -3830, -3792, -3738, -3662?\nAnswer: -3558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 4:29 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 6. Let k(j) = -j + 2. Give -4*k(u) - w(u).\nAnswer: 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmx when three letters picked without replacement from {m: 3, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5663.7 - -0.2161.\nAnswer: 5663.9161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence att when three letters picked without replacement from tta.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105*-0.4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43029*z**3 + 33650*z**2 wrt z?\nAnswer: -258174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 40 = 2*p, 17 = n - 3*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = 4*d + 372, 3*c = d + 93. Let g = d - -116. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3921 - 82571 = -6466*x + 416*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-25835)\/10)\/(7\/(14\/8)). Let n = -647 - z. What is the common denominator of n and ((-2)\/8)\/1 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 460454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47436 and 2612196?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98366272*m**3 + 2343074*m**2 + 3*m?\nAnswer: -590197632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*q + 3, -3 = -3*i - 6*q + q. Solve -4*j = -7 - i, 3*j - 26 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4078*t**2 + 1979*t**2 + 1808*t**2 + (-3*t - t + 2*t)*(-t + 11*t + 0*t) - 3*t**2 + 3*t**2 + t**2.\nAnswer: -310*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.27, 2\/15, 1\/2, -0.2 in ascending order.\nAnswer: -0.27, -0.2, 0.06, 2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3117 divided by -3\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3560224, -3560226, -3560230, -3560236, -3560244, -3560254?\nAnswer: -3560266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-24 + 8) - 22) + (-6 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aww when three letters picked without replacement from {w: 3, a: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + f**3 + 0*f**3 + 209 - 203 - 2*f + 7*f**2. Let c(m) = -m**3 - 6*m**2 - 3*m + 5. Let n be c(-5). Calculate u(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62954898 divided by 2.\nAnswer: 31477449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 2:58 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 798.7 + -799. Is i != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7875 - -819031\/104. Calculate the common denominator of v and -55\/118.\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/50337 and 27\/1547.\nAnswer: 654381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4928*s**2 - 262*s**2 - s + 2*s + 3. Let k = 3 - 0. Let o be z(k). Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:01 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + ((-1)\/(34\/(-110)) - -1). Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, 1547, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 40.52. Let c = -0.08 + g. Let z = 3.3999954 - c. Round z to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 37.26 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -947db + -2?\nAnswer: -947dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16*4)\/((-21)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 675 = 14*y. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**3 + 177*r - 177*r.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178347237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 765.8 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from {o: 1, k: 2, u: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76365010 divided by 5?\nAnswer: -15273002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/15 - 129366*r**4 - 7761934*r**3\/15 - 5821438*r**2\/15 + 2587312*r\/5 + 7761928\/15 = 0. Calculate r.\nAnswer: -970241, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2. Let v(m) = 30463765*m. Give d(v(i)).\nAnswer: -2784122933925675*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y + 15. Suppose -4*l = 27 - 7. Let k be z(l). Let u be 3\/k*-5*12. Solve -5*n = -5*f - 20, -f + u*n - 3 - 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -9*x + 6*x. Let v = x + 184. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 1, t: 1, m: 4, p: 4}. Give prob of sequence fyt.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 807, 1608, 2415, 3234, 4071, 4932?\nAnswer: 5823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 1736?\nAnswer: -1735.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3ac - 73c?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*b - 24, 58*b - 60*b - m + 9 = 0. Suppose 0 = -u + 4*n, 3*u - 5*n - 7 = -0*n. Suppose -u*q - 7 = 13. Put 1, q, b in descending order.\nAnswer: b, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/275 and 163\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.007, 0.1 in increasing order.\nAnswer: -4, -0.007, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 5*r**2 + 2. Let h be j(2). Let s(m) = m**2 + 10*m + 2. Let f be s(h). Solve -i - f = -0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4834824 is divided by 16116.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 74?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 0*t**2 - t**2)*(t**2 - 3*t + 3*t) + (4*t**4 - 19*t**4 + 52*t**4)*(-1 + 1 + 1 + (2 - 1 - 2)*(0 + 1 + 1) + 2 - 4 + 1 + 2 - 1 - 3).\nAnswer: -146*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110105 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/93491?\nAnswer: -1\/93491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:45 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/6 + 25*o - 135\/2.\nAnswer: -5*(o - 27)*(o - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o, 9*b + 2*o = 12*b - 18. Let m(n) = 69*n. Let r be m(-1). Let z = -47 - r. What is the remainder when z is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzg when three letters picked without replacement from {g: 5, t: 2, m: 2, b: 3, z: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80677, 322704, 726077, 1290790, 2016837, 2904212?\nAnswer: 3952909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 383*q - 3351. Give o(7).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -202. What is the smallest common multiple of 3 and 30*((-4)\/12)\/(y + 5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17053 - 16709. What is the smallest common multiple of 72 and m?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78199 = -6945*o + 439339 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**7\/525 + j**6\/150 - j**5\/50 - 56*j**2. Factor m(k).\nAnswer: 2*k**2*(k - 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(2*d + 2*d - 5*d) + 4 - 4 + 3*d + (-3*d + 0*d + 2*d)*(-1 + 0 - 1).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321100232103 (base 4) to base 13.\nAnswer: -315749a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1127 - 0?\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 2*h + 3*h + (1 + 1 + 0)*(-5*h + h + 2*h) + 2*h - h + h - h + 0 + 0)*((2 + 0 - 1)*(1 + 1 + 1) + 56 - 34 - 34).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 426 = -2239*r + 2225*r, 5*x = -r - 51 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1080 = -7*t. Suppose 21*q - 27*q + t = 0. What is the remainder when 26 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let h = -1016\/77 - -142\/11. Which is the nearest to h? (a) g (b) -0.06 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 19321*b + 6517*b + 9811*b to o*b + n and give o.\nAnswer: -2993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -158760 divided by 4536\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 174 = -2*g. Let f be g\/(-21) + 4\/14. Is (f\/(-6) - -2)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 275 - 81245*y**3 + 80825*y**3 wrt y.\nAnswer: -1260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:12 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (-3*sqrt(204) - sqrt(204)))*-2 + sqrt(204)*2*-2)\/(-6*(sqrt(72)\/(sqrt(6)*-2) - (sqrt(12) + sqrt(48)\/sqrt(4))*4)).\nAnswer: 2*sqrt(17)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7452593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*c - 2. Suppose 0 = -3*h - 2 - 4. Put c, 3, h in descending order.\nAnswer: 3, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35037332, 35037331, 35037330, 35037329?\nAnswer: 35037328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748 = -4*n - o - 3*o, 184 = n + 2*o. Let g be (-4 - (4 + -16)) + -3. Suppose -3*c - n = 2*s - 503, -s = -g*c - 124. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372694698 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 11. Let j be x(-8). Calculate the remainder when 208\/20 - (-2)\/j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11676 and 41144?\nAnswer: 864024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 8 + 25 + 5*f - 19 + 5*f + f**2 - f**3 to k + x*f + d*f**2 + y*f**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40410*j**2 - 84 + 168 - 84 - 2*j + 2*j)*(-j - 2*j + 2*j).\nAnswer: 40410*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 7*r**5\/60 - 5*r**4\/4 + 4*r**3\/3 - 11*r**2 - 2*r. Let o(w) be the first derivative of v(w). Factor o(u).\nAnswer: (u - 4)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42378.46 millennia to years.\nAnswer: 42378460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6880 + -6880.05. Which is the second smallest value? (a) -5 (b) j (c) -1\/5 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*s**5 + 55*s**2?\nAnswer: -10560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/15, 7.6, -2\/5, -2, 78?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/13 + 48*v**3\/13 - 4*v**2 - 174*v\/13 + 180\/13 = 0. Calculate v.\nAnswer: -5, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u. Let c(d) = -2*d - 4. Let n be c(-2). Suppose -3*f + u + 159 = n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13313173166 + -9443951815. Let d = t - 3869221465.99999921. Let n = 115 + d. What is n rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - k - 3*k - 16861024 = 0, y = 22*k - 3372068. Round y to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 1, 5, 3252, -3, 1542 in descending order.\nAnswer: 3252, 1542, 5, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {a: 2, c: 3, o: 1, s: 1, q: 7}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 7. Let r be q(3). Let f be ((-2)\/r)\/(-14 + 12). What is the nearest to f in 1, -0.17, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/11)*w**(-7))\/(w\/(w*w**(-1)))**(-2\/25)*(w**(-6)\/(w*w*w*w**(2\/21)\/w))\/(((w**1*w*w)\/w)\/w)**30 assuming w is positive.\nAnswer: w**(-260488\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 2*c**2 + 7*c + 14. Let g be b(-6). Let x = g - 233\/2. Sort 0, -4, 1, x in descending order.\nAnswer: 1, 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -6 (c) 0 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 0.3 (b) -2 (c) 1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - o**2 + 32*o**3 - 3 - 17*o**3 as q*o**2 + d*o + c*o**3 + j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -20, -0.3, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 585 + -612. Let n(r) = 15*r**2 - 20*r + 10. Is n(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17044150, 17044155, 17044162, 17044171, 17044182, 17044195?\n\"Answer: r**2 + 2*r + 17044147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-27)\/5) + 44\/(-110). Suppose h = -h + 3*p + 8, y*h + 5*p = 12. Solve 4 = -5*g + h*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or 0.02?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19909 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6475 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 7\/(-2))\/((-2)\/148). Let l = 929\/5 + k. Factor -l*a**2 - 18\/5*a**3 + 0 - 24\/5*a**4 - 2*a**5 + 0*a.\nAnswer: -2*a**2*(a + 1)**2*(5*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 10*d + 14. Let m be l(11). Suppose 0 = 3*g - m, 6 - 29 = -4*i - 3*g. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l - 20*l - 1466*l**3 + 6*l.\nAnswer: -1466*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (38142\/(-48737))\/((-195)\/460)\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*((-3 + -3 + 2 + sqrt(396) - (0 + sqrt(396) + (sqrt(396) + -1 - sqrt(396)) + -2)) + 4))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 6. Let p = v + 6.4. Round p to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let b(d) = -d + 7. Let w = -11 + 16. Let p be b(w). Solve p*q + 5 - 1 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 + 100*p - 121. What is d(32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1490232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by (-3)\/(1 - -2)*-13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12359 in -3, -0.1, 0.4, 2\/9, 0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(m + 0 + 0)*(-18 + 29 - 19).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81153 is divided by 357?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - g**2 - 2*g + 2. Let z be b(1). Suppose -2*a + 4*a - 208 = z. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 226 = 4*j, -40 = -3*h - 4*j - 419. Let g = h + 171. What is the remainder when g is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.53546 take away 0.13?\nAnswer: 3.40546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + -22?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) -2\/21 (c) 0 (d) 0.1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18580*n = 18549*n + 713 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 136*w + 7 = 94*w + 40*w, 5*w + 34 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311464*r**2 - 156139*r**2 - 155318*r**2 + 4*r - 2*r - 2*r.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0574991768 rounded to 5 dps?\nAnswer: -0.0575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*k = 1, -3*b - 2*b + 2*k = -11. Solve 2*m + 7 = -b*z + 1, 3*m = -2*z - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Let t be 5\/k*(-420)\/(-2). Let a be (1600\/6)\/((-1)\/t). What is a rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2824 and 3177?\nAnswer: 25416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 588\nAnswer: -588.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 46.85. Is s equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*3*72\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vyyvbybbdbybvyvvyb.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(720) + 2)**2 - (-2 + 0 + sqrt(720)).\nAnswer: -204*sqrt(5) + 11526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 94*y - 674. Give q(6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*l - 1704*l + 15169 = -729*l for l.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r**3 + 20*r**2 - 55*r + 15. Calculate p(3).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5350?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -8. Let x be (0\/1)\/(u + -4). Solve -4*v + 3*v + 4 = x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.4 - 51. Let m be ((-408)\/(-60) + -7)\/((-4)\/15). Put 0, v, m in decreasing order.\nAnswer: m, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412273 is divided by 278.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let k(l) = -7*l**3 + 5*l**2 - 5*l + 4. Let a(b) be the first derivative of b**4\/4 - b**3\/3 + b**2\/2 - b - 1. What is t*k(r) - 5*a(r)?\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/70 - 3\/(-3 - 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 27 = 2*v, -4*v + j = 3*j - 14. Solve -w - 3*p = 13 - v, -w = 2*p + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 131?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 63, 144, 259, 408, 591, 808?\n\"Answer: 17*n**2 - 4*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + u = 4378 - 4389, -2*u = 4*y + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (44 - -2 - 7) + 2\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -1 + -3)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -13. Let b be 3 + -1 - (-4 + 0). Calculate the least common multiple of r and (b\/(-4))\/(5\/(-30)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 469881061 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4247 or -2\/37?\nAnswer: -4247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 3*k + 40. Let q be i(-5). Suppose q = 5*g - 6*g + 28. Calculate the remainder when 139 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/56076 and -56\/42057?\nAnswer: 168228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 44. Let a be u(10). Suppose 19*r - 22485 = a*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77372, 77369, 77364, 77357, 77348, 77337, 77324?\nAnswer: 77309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3528000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 237347, 474695, 712043, 949391?\n\"Answer: 237348*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1411*h + 8299*h + 14065*h - 1 + 12445*h.\nAnswer: 36220*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17630043.\nAnswer: 3, 19, 43, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3224.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*q - 5 = 0, -6 = 4*u + 2*q - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < -291\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 10 - 11 - (-9 + 1 + 2). Let i(t) be the third derivative of 0 + u*t**3 + 32*t**2 + 0*t + 1\/24*t**4. Let f(p) = 19*p**2 + 2*p. Calculate f(i(c)).\nAnswer: 19*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*k - t - 10, k - 3*t = 2. Let b be 12\/8*(k - 0). Let z(o) = 6*o + 30. Let a be z(-5). Solve b*p + 0 - 12 = a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -0.2 (c) -0.4 (d) 1\/5 (e) -1\/2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 203905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*b**3*l - 2626*b**2*l - b**2 + 12*b*l + 31*l - 446 wrt b.\nAnswer: 228*b*l - 5252*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*a + 21*a = 9635895 - 34005675. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*-2 + sqrt(24) - sqrt(24))*4)\/((sqrt(8) - 1*sqrt(392)) + sqrt(8) + 2*sqrt(8)*6).\nAnswer: -40*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-3\/4)*l))\/(l*l**10))**(-8\/11)\/((l**2\/l)\/(l**(-2\/11)*l*l)*(l\/((l**(-1\/3)*l*l)\/l))**(-6\/23)) assuming l is positive.\nAnswer: l**(209\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 9*h - 15. Let v be r(6). Suppose 1 = -x, -v*x + 7 = n - 14. Let o = -2 - -9. Calculate the remainder when n is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -10. Factor 5 - 10*k + 4*k**m + 3 - 2*k.\nAnswer: 4*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1029 + -12)*-1*1. Suppose 4*i = 1227 + p. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3789*w - 26676*w - 22196*w + 730*w.\nAnswer: -44353*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-135 + 672*y + 9365*y + 137) in the form g*y + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/9 + 138512*t\/9 + 2398196768\/9 = 0.\nAnswer: -34628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from fwpf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5\/7 - 9*y**4\/7 - 10*y**3\/7 + 18*y**2\/7 + 5*y\/7 - 9\/7 = 0.\nAnswer: -1, 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*g - 9 = 4, 5*a + 55 = 5*g. Let d = 4 + a. Is -2 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -723826, -723853, -723880, -723907, -723934, -723961?\n\"Answer: -27*t - 723799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26925703 is divided by 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 6*r**2 - r + 2. Let v be n(-2). What is the highest common divisor of 20 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) -5 (b) -3 (c) -10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (19 + -37 - -10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, 248, 2, -3?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.325 - -0.925. Let g = 96 - 99. What is the closest to 2 in f, g, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 1\/8*v**4 + 0*v + 0*v**3 + 0 + 1\/42*v**7 + 0*v**6 - v**2 + 0*v**5. Find the second derivative of l(q) wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 48*a**3 - 50. Let v(d) = d**3 + 1. Let o(w) = -h(w) + v(w). What is the derivative of o(q) wrt q?\nAnswer: -141*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 48, 72, 96?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8aa7 (base 15) in base 6?\nAnswer: 344051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 43704*b**2 + 239016960*b + 2861913600.\nAnswer: 2*(b + 12)*(b + 10920)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*k**2*v**3 - 2355*k**2*v**2 - 122591*k*v**3 - 166*v**2 - 1 wrt v.\nAnswer: 612*k**2 - 735546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/20 - (-50)\/56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8 + 4*z + 2*z - 2*z. Let y(l) = 7*l + 16. Let t(b) = -5*v(b) + 3*y(b). Let p be t(6). Calculate the highest common factor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23053, -46135, -69219, -92305, -115393, -138483?\n\"Answer: -j**2 - 23079*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 + 5*o - 8. Let y(r) = 8*r**2 + 2*r**2 + 20 - 5*r**2 - 6*r - 11. What is 7*q(h) + 6*y(h)?\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1 + 668*s.\nAnswer: 668*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 - -151. Let c(a) = -10 + 3 - a - x - 3. Let i(h) = -h. Calculate i(c(r)).\nAnswer: r + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/877680 and -77\/26037840?\nAnswer: 78113520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from {y: 8, p: 2, r: 6, z: 3}?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 5478.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - -0.37. Which is the nearest to f? (a) 4\/7 (b) 2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 12}. What is prob of sequence zmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 875 + 2*t**2 - 72 to the form c*t + z + i*t**2 and give z.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 3. Let t(i) = 3*i - 12. Give 9*j(u) + 2*t(u).\nAnswer: -3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 3*r. Let f(h) = 42*h**2 - 43*h**2 - 4*h + 0*h + 3*h. What is -6*f(v) + 2*g(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*q - 81 = -11*u + 379*q, 6 = -2*u - 6*q for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -569 + 283 + 289 + 490*q to the form l*q + j and give l.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -88175, -176337, -264499, -352661?\n\"Answer: -88162*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:20 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1.265223.\nAnswer: 2.530446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85\/36 + 9\/4. Let t = 8 - 7.6. Sort 0, f, t in ascending order.\nAnswer: f, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 8*m**2 - 11*m + 6. Let y be d(7). Let c = y - -12. Let v(r) = -2*r**2 - 2*r - 7. Let n(t) = -t**2 - t - 4. Give c*n(a) + 6*v(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(-3*sqrt(605) + -3)*-5.\nAnswer: -3300*sqrt(5) - 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -4.9 (b) 0.2 (c) -1\/6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**4 + 19*g**4 - g**4 - 2*g**3 + 106 - 207*g - 108 + 48*g**4 wrt g.\nAnswer: 864*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 3*q**2 + 6*q**2)*(-4*q + 5*q + q) - 2*q**3 - 21*q**2 - 9 - q + 21*q**2.\nAnswer: 12*q**3 - q - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2 + v + v)*(10 - 10 + 3*v).\nAnswer: -3*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(560\/(-21))*-2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18438 - -18465. Suppose -t - 2*w = -31, 0 = -5*t - 2*w + 4*w + 131. What is the least common multiple of t and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3.12, -2.8 in decreasing order.\nAnswer: 3, -2.8, -3.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 19 + 37*k**2 - 275*k**3 - 41*k**2 + 547*k**3 - 253*k**3 to the form h*k**3 + m*k + x + w*k**2 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*w + 1277*w - 404*w.\nAnswer: 1536*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4049 divide 437510646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*c - 5*h + 41, 4*h - 38 = 2*c. Let t(m) = -12 - 261*m - 15 + 258*m. Is 6 a factor of t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1728 and 4536?\nAnswer: 36288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*l + 118*l = -2*q - 47712, 2*q + 12 = 0. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**2 - 16*s**2 + 10*s**2 to z + t*s**2 + c*s and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1113480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/60 + 7*v**4\/24 - 4*v**3\/3 + 59*v**2. Suppose 0 = 4*i - 12, 3*r = -3*i + 2 - 14. Determine b(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v - 29. Let o be j(-5). Which is the third smallest value? (a) -5 (b) o (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 60, -5, 1, 4 in decreasing order.\nAnswer: 60, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c\/(c*c\/c**(-16\/3))*c)\/c)))**(-48) assuming c is positive.\nAnswer: c**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0. Let j = 0 + 3. Let n be (-2)\/6 + 1\/j. Which is the third smallest value? (a) -5 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1312)\/(-115456))\/((-2)\/32)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 21*z + 3 - 12)*(z - z + 2*z)*(-20 - 28 + 61)*(-6 + 2 + 3).\nAnswer: 546*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3*g + 2*b + 28, 4*g - 5*b = 28. Is (148\/g)\/((-1)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-707)\/(-21) - (-16)\/48*1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -15*m + 60. Is 7 a factor of 412\/m - ((-50)\/(-35) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/12 - 5*l**3\/3 + 9*l**2\/2 - 9*l. Let v be q(9). Suppose v = -2*k - 5*s + 324, 3*s + s = 4*k - 620. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1007880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*t = -93*t - 79*t + 1197. Solve -17*k + t*k = 2*v + 28, -3*k + 5*v = -35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20210 (base 3) in base 9?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 653574794*i - 354922148 wrt i.\nAnswer: 653574794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*g = 1 + 5, n + 2*g = -6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 3*c**5\/40 + c**4\/8 - c**3\/4 - 3*c**2\/4 - 48*c. Find b such that y(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 + 2114*w**2\/11 - 4234*w\/11 + 2118\/11.\nAnswer: 2*(w - 1)**2*(w + 1059)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4854277373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -17*g + 22. Let q be c(0). Solve -19 = -3*z + 4*w - 5*w, q = 2*z + 3*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 19*f**2 + 2*f + 8. Let z be b(-19). Let w be 3045\/z*(-36)\/7. Suppose 10*n - 5*n + w = v, 5 = n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1719)\/(-382)*2\/9 and (-3)\/(-2)*(0 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b**2 + 10*b**4 - 2*b**2 + 2 - 5*b**2 + 2*b in the form a*b**2 + r*b**3 + u*b + v*b**4 + d and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 10) in base 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -26.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -688*u**5 - 116*u**3 + 1343909*u**2 wrt u.\nAnswer: -41280*u**2 - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72403, 72427, 72473, 72547, 72655, 72803?\nAnswer: 72997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 21*x**3 - 18*x**2 + 2*x. Let q be z(1). Let s = 3 + 1. Sort -8, q, 3, s in decreasing order.\nAnswer: q, s, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38488187 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -25*z**2. Let d(s) = 27*s - 17*s - 9*s. Calculate k(d(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 676 - 13371?\nAnswer: -12473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 1. Let g be (-3 + 9)\/(2\/(-3)). Let y be 3 + -1*(-2 - g). Let f(t) = -3*t + 4. Suppose -21 = 4*l - 17. What is l*f(j) + y*h(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/4 (b) 0.1 (c) 3 (d) -15 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 865 to the nearest ten.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-14))\/((-27)\/(-14) - 2). Solve 2*t - 14 = -5*z + h, 3*z - 23 = 4*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**4\/4 - 3*q**3 + 13*q**2\/2 + 3*q + 1372. What is h(-11)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17002 divided by -41\nAnswer: 17002\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2394 = -3771*p + 3714*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 9. Let y = -3 - u. Let l(c) = -4*c + 3*c - y + c + 2*c**2 - 2*c**3. Let i(k) = -k**3 + k**2 - 3. What is -9*i(d) + 4*l(d)?\nAnswer: d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -118\/111, -33\/5, 12, 1 in decreasing order.\nAnswer: 12, 1, -118\/111, -33\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 3 + 3. Suppose 2*v + 3*f + d*f - 18 = 0, -4*v + 36 = -2*f. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 0)*(-12)\/(-9). Suppose 3*g - 5*g - 3*a + 13 = 0, -5*a + 7 = 2*g. Suppose 0*p = -4*s + 4*p + 16, -p + g = w*s. Solve u + s*u = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:18 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86 - 8.7?\nAnswer: -9.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 17*v**2 + v**2 + 5*v + 14*v - 13*v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -607*r - 5462. What is l(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2646 (base 12) to base 4\nAnswer: -1010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3997194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1, -3\/8, 2\/5, 111, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 47 + 35)*(w**3 - 2 + 3 - 5*w**3).\nAnswer: -36*w**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:57 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32170995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -197, -399, -601, -803, -1005, -1207?\n\"Answer: -202*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2 = -2*k, -k - 4*l + 4242 = 4241 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 = -3*l. Suppose -2*o - l = -o. Let g = 1 + o. Sort 4, g, 1 in increasing order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6 (b) 0.2 (c) -2873 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234 is divided by 374?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0 - 1\/48*j**4 + 1\/120*j**6 + 39*j + 0*j**5 + 0*j**2 + 0*j**3. Let q(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 1. Let f be a(-2). Let u(r) = r**2 + 24*r - 36. Let l be u(-27). Calculate the greatest common divisor of l and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99 - -103 - 117) + 42.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 461, 463, 449, 413?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -30*n - 476. What is t(-20)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3880, 1222, 1?\nAnswer: -3880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 27 = -4*i. Let c = 39 - i. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.049 + 0.0972. Let f = x + 0.2188. What is f rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/45*3*(-6)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/5, 1\/15893, 19?\nAnswer: 1\/15893","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:47 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 607\/7 + (-60)\/(-14) + -4. Let d = j + -3. What is the highest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/28 - (-110)\/8. Let g(z) = -18*z - 1. Let h be g(-1). Let y = h - i. Solve 5*k + a + 5 = -3*a, -3*k = y*a + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.5 (b) 3 (c) 0.08 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 2*n, 2*c = -2*n - c + 6. Suppose -u - u + 30 = n. What is the remainder when u is divided by 117\/(-65)*(-10)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6*h + 22. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y. Let t be 5 - (0 - y) - 2. Suppose 4*r + 3*b - 2*b - 26 = 0, 0 = -3*r - t*b + 24. What is the second biggest value in 0.1, r, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-5))\/((-4)\/(-10)). Let o be m\/18 - 80\/(-45). Solve 5*a - 17 = -o*s + s, -2*a = 2*s - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/2))\/a*a)**3)**(-9\/11)\/((a\/a**(-1\/6))\/a**(-2))**(1\/76) assuming a is positive.\nAnswer: a**(-983\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 15957.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 + 5 = 0, 3*s + 14 = b. Let f = 45325 + -45315. What is the lowest common multiple of (b + 1)\/2 + 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/29328 and 131\/12?\nAnswer: 29328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6011*h**2 + 6100*h**2 + 6102*h**2 - 18215*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8605, -8610, -8615, -8620, -8625, -8630?\n\"Answer: -5*w - 8600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1221012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*m - 131 = 65. What is the smallest value in -5, 0, m, 0.469?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -51351767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2751 - 2747. Solve y = -0*y + 4*o + 9, h*y = 2*o + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 32 = -5*z, 4*x + 4 + 0 = 2*z. Let h be (-19)\/x - (-2)\/(-6). Suppose -h = -b - b. Solve l + b*c = -3*l - 4, 0 = 2*l + 4*c - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336*p + p**5 - 35*p**3 + 2*p**5 + 42*p**3 - 57*p**3 - 73*p**3 wrt p?\nAnswer: 60*p**3 - 738*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = w + 21, -5*h + 6 + 16 = 3*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 32 = -5*j, -4*j - j + 35 = 5*m. Calculate the remainder when 153 is divided by j\/(-24) + 314\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -33. Let n be ((-1)\/7 + 1)\/(11\/770). Are o and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-12) + (-2)\/(-8). Let f = 1871 + -1050. Let j = -818 + f. Which is the biggest value? (a) -2\/11 (b) -1\/10 (c) n (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 517.7471s?\nAnswer: 517747.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -2, 28, -237, 0, -3.\nAnswer: -237, -6, -3, -2, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by 303?\nAnswer: 150\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n - 210 = -5*a, -420 = -4*n + 4*a. What is the highest common factor of n and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698 (base 12) to base 15.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610, -615, -620, -625?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 5. Let y = 5 + l. Factor 2\/3 + y*u**2 + 2*u + 2\/3*u**3.\nAnswer: 2*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*i + 508 + 80. Solve i*t = 19*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.46 - -0.04. Let y = 119082 - 119082. Which is the nearest to 3.8? (a) t (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33368 and 226696?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13350163 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 42, 33, -6, -87, -222, -423, -702?\n\"Answer: -2*i**3 + 3*i**2 + 14*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(3*(-1)\/(-9)). Let t = -16 + 19. Solve p = -3*i + t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = 2*u, 2*u + 0*i - 3*i - 1 = 0. Let d(w) = 0*w**3 + 0*w**3 + 9*w**2 - 6 - w**3 + w. Let y be d(9). Is u bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -5 - 5) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let u(g) = -972841*g**2. Determine u(t(w)).\nAnswer: -972841*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -522900 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = 2. Let q be (1 + (-11)\/3)\/(20\/(-210)). Solve 5*l - q = p, -3*l - x*p = p - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5074, -5038, -4974, -4882, -4762?\nAnswer: -4614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-2\/15)*w)*w**(2\/15)*w*w**37*(w*(w*w**(1\/10)*w)\/w)\/w assuming w is positive.\nAnswer: w**(1181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 753 divide 40305121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 + 2*q - 21. Let z be d(-8). Solve 0 = -2*j - u + 12, 0 = 4*j + j + u - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g*i*s**3 + 22*g*i*s**2 - 6*g*s**3 + 11*g*s - 2*i*s**3 + 2*i*s**2 - 2*i wrt s?\nAnswer: -42*g*i - 36*g - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*t - 0*b - 30, -3*t + 3*t - 18 = 4*t + 7*b - 70 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37787381999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 139769 - 139769.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291 - 239. What is the lowest common multiple of 10 and f?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 230147 + 20?\nAnswer: 230167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 15*p**2 - 64*p - 432. Determine d(-16).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81.3 + -11.3. Let g = p - 18. Let o = g - 52.4. Which is the third biggest value? (a) o (b) -0.1 (c) 0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 + 58*p**3 - 254*p**2 + 326*p - 132 = 0. Calculate p.\nAnswer: -33, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - -4) + 4\/12*-73 and 69\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 13000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4716*c**3*o + 230632782*c**3 + 1595*c*o wrt o?\nAnswer: -4716*c**3 + 1595*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 3*v - 2, 1 = 604*w - 607*w - 4*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 420*y - 15873. Let p be j(42). Let o(u) = 2*u**2 + 4*u**3 + 4 - u**3 - 4*u**3. What is o(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:12 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 y when four letters picked without replacement from yyyyyyeyeyyyy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 3, y: 1, c: 2, i: 2, t: 1}. What is prob of sequence ii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*i*q**2 - 155564*i - 14*q**2 - 135*q wrt q.\nAnswer: -36*i*q - 28*q - 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/11102808 and -137\/36820.\nAnswer: 388598280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 951701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407 - 414. Let x be 6\/(i - -10) - -11. Solve -5*q + 7 = -x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-54)*(-9)\/21*(-68)\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-8 + (1 - -1)). Let o = 48 - 44. Let j = c - o. Solve -3*g + j*g + 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (972\/132)\/(-27)*11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0) + (-21 - -5 - -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 622739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131428745*f**4*s - 34175938*s wrt f?\nAnswer: -525714980*f**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 29. Let o(p) = -4*p - 87. Let y(a) = -3*o(a) + 8*t(a). Let h be y(-10). Let d = h + 11. Let k(m) = -m**3 - m**2 + 2. What is k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4097996 divided by -266?\nAnswer: 15406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -1302020?\nAnswer: -1302001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**4\/4 - 9*v**3 - 243*v**2\/2 - 319*v + 1. Determine b, given that z(b) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -988, -1, 27 in decreasing order.\nAnswer: 27, 2, -1, -988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4 + 8620*n**3 - 339014*n**2 + 904880*n + 1252512 = 0. What is n?\nAnswer: -4349, -1, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 338, 399, 460, 521, 582?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 29 = -4*l, -4*l + 3 = -5*o - 2. Suppose -4*h + 2 = -0*b + l*b, -3*b - 5*h = -9. Does 4 divide (b\/(-4) - 2)*198\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113871 is divided by 22717?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + 1*sqrt(108))*-2*-1)**2.\nAnswer: -6912*sqrt(3) + 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31343522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -823\/35 - -166\/7. Suppose 0 = -5*i + 11 + 4. Let n = i + -1. What is the nearest to 1\/5 in x, -1, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3150203 = 3150202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -35.92. What is the nearest to 1\/2 in 2, -0.3, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*w - 3*v, 6 = 4*w + 2*v - 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*t**2 + 3*t - 3*t - 1 + 197*t**2 - 96*t**2 to the form g + m*t + k*t**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11015*c - 5717*c - 5512*c + 10486 = 0 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and 95\/4857136?\nAnswer: 43714224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011101101 - 10?\nAnswer: 101011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4150\/39 or 283.4?\nAnswer: 283.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3*p - 9*p = 0. Suppose -2*r + 47 + 3 = p. Suppose -w = -i - r, -2*w + 3*w - 5*i = 33. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00255380365 to 7 dps.\nAnswer: -0.0025538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 37*m - 33*m. Suppose 3*b = 5*i + 26 - 7, -2*b - 5*i - m = 0. Suppose -b = 5*x - 6*x. Solve 10 = -x*y + 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**3 - 55*w**2 + 55*w**2)*(-6*w + w + 0*w).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from {j: 2, q: 1, s: 4, x: 4, y: 7, o: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1730\/14 - (-243882)\/94843?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*j + 59 = 29*q - 844*j, 0 = 21*q - 19*q + 4*j + 106 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 5. Let x(o) = -o - 3. Let b(p) = 2*a(p) + 5*x(p). Let c be b(-4). What is the closest to 1\/3 in -0.1, c, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) + 1 + sqrt(5) - sqrt(5)) + 4 - ((sqrt(60)\/sqrt(108))**2 - -3*sqrt(5)*2).\nAnswer: -5*sqrt(5) + 58\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4082 is divided by 1359.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1219 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + 2*t. Suppose -2 = -2*d + t. Let m(u) = -u - 2*u - 2 + 4. Calculate m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvg when three letters picked without replacement from {m: 2, l: 1, v: 3, k: 1, o: 7, g: 4}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r + 12*r + 29*r**6 + 22*r**6 - 6*r**2 wrt r.\nAnswer: 6120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**5 - 20*y**4 - 16*y**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 + -142. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2 - 292736*g + 574723 wrt g?\nAnswer: -4*g - 292736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.8, 9, 0.126, -1\/93, 3.\nAnswer: -1\/3, -1\/93, 0.126, 0.8, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/21 in 15, 1\/3, -6, 12.9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 667 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 298440 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:54 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2479.6 - 2480. Which is the closest to i? (a) 1 (b) -4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -36194 and -36196 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013890839 to 6 decimal places.\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 59*b - 130. Give d(27).\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**2 + y**2 + 15*y**2)*(10 - y**2 - 10) - y**4 + y**4 + y**4.\nAnswer: -23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 493922.\nAnswer: 987844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 185 + -30839\nAnswer: -30654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnkkkknkknnnknnkknk. What is prob of picking 3 k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 6*n**2 + 7*n + 1. Let u be g(5). Let t = 4 - u. Suppose 2*i - 96 = 2*f, -i + 3*f - 16 = -t. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s**2 + 5*s - 4. What is the lowest common multiple of 22 and p(4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + m**2 + 2*m + 1. Suppose -2*l - 6 = -14. Let s = 40 + -45. Let i = l + s. Give u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5102 and 4.\nAnswer: 10204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p - 90*p + 55*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70629.43 weeks in microseconds?\nAnswer: 42716679264000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, and 1 l when three letters picked without replacement from {m: 2, l: 1, x: 7, d: 2, o: 1, e: 4}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*v = -5*x - 22, -x - 4 = -v. Let d = -0.05 - -0.25. Let z = -0.4 + 0.3. Which is the closest to x? (a) d (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1512)\/sqrt(2))\/sqrt(7))*3.\nAnswer: -9 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 10) in base 12?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*6*(-4)\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101111010011011101 (base 2) in base 6?\nAnswer: 33001525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 46*f**3 - 6*f**2 - 31*f - 61. Calculate v(-2).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 + 2145*c**3 + 306735*c**2 + 14621035*c = 0.\nAnswer: -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d + d)*(0 + d + 0) + 0 + 0 + 3*d**3 + d - d + 3*d**3 + 14*d**3 + 51*d - 51*d.\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20d - -e86?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 3.1323407?\nAnswer: 0.8676593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -971.\nAnswer: -11652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*j - 2 - 38, -j - 30 = -3*r. Find the common denominator of 6\/(-9)*159\/r and 84\/15*5\/(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 8. Let m(z) = 6*z + 6*z**2 + 0 + 1 - z**3 + w + 0*z**2. What is the units digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*p + 1 - 525*p + 346*p.\nAnswer: -715*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 20. Let d(o) be the second derivative of o**3\/6 + 5*o**2 - 16*o. Let l(y) = -2*c(y) - 5*d(y). What is l(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*l + 2032 - 29149 = 0. Solve 145 = 7*w + l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -21\/8, -2\/13, 4, -1\/2, 1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -16 (c) -1\/2 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28052.91ml?\nAnswer: 28.05291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 2. Let j be h(0). Solve 8 + 3 = -4*w - 5*v, -j*v - 2 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -2 (c) 0 (d) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14002979 greater than 14002979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus 55566?\nAnswer: 55558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378787 is divided by 3534.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1))\/((-6)\/(-54)). Let o(x) = -x**3 - 7*x**2 - 5*x + 9. Let k be o(l). Suppose -2*p - u + k = 0, 3*p + 4*u + u - 317 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1397\/9 - 2\/9. What is the remainder when 33 is divided by t\/9 - (-2)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 5\/2 (c) 0.9 (d) -0.8 (e) -0.16 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.6 + -12.075. Let m = p + -0.025. Which is the nearest to -11? (a) m (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m + 9*m - 18*m. Let z(a) = 19*a**2 + 2*a. What is b(z(w))?\nAnswer: 38*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2*q**2 - 104771*q + 314306*q - 104771*q - 104764*q - 10.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -1423002831\nAnswer: -1423002810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 1\/3 (c) 115\/104 (d) -0.4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7420 - -4?\nAnswer: -7414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 9 = -9*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 13425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44016 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91144818?\nAnswer: 2, 3, 191, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -82?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 736 - 413. What are the prime factors of u?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l + 4*n - 66, -5*n + 24 = l. Let s = l + -36. Solve 4*h = -s + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (80\/24)\/(1\/(-3)). Let v = -9 - m. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.01, -4.\nAnswer: -4, -2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 19*s. Suppose 0 = 10*b - 32 + 2. Let d(q) = -b*q + 17*q - 12*q. Calculate d(o(m)).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 - (1 - -1))*(-87)\/116. Solve 8*o = -q - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.91 rounded to 0 decimal places?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-18)*(-237)\/(-8) and -41\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354324555, -708649108, -1062973661?\nAnswer: -1417298214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -34.1. Let k be (-1)\/(1 + 2*-2). Which is the nearest to 0? (a) k (b) -2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558722 = -81*v - 64703. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + (-138)\/(-4). Let h = d - 11. Calculate the remainder when 87 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-128)\/(-576) - 114744\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47869 + -42547. What are the prime factors of y?\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*(-1 + -14)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2*q - 3*q)*(24 + 38 - 18).\nAnswer: -44*q + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppdp. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*c - 57 + 12 = 0, -5*m = -5*c - 50. Suppose 3*n + 2*j - 24 = n, -m*n + 3*j + 36 = 0. Solve 4*s + n = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 11*n = -5*l + 60, 14 - 39 = -3*l + 2*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 129862 = 129864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -224199, -224203, -224207?\n\"Answer: -4*q - 224195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2016*z**2 + 30*z**4 - 754*z**2 - 29*z**4)*(0*z + z - 3*z).\nAnswer: -2*z**5 + 5540*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 + (13 - -1) + 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = -68 - 332 - 16. Sort -1, 2, x.\nAnswer: x, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1072 - -1197. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40946547 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 244306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3)*w)\/w**(-4\/9))\/((w\/(w**(-7)*w)*w)\/w**6)*(w\/w**(4\/9)*w\/w**(-2\/17))**(2\/89) assuming w is positive.\nAnswer: w**(-11429\/4539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 136749 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21012101100 + -2?\nAnswer: 21012101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/3 - 7)*2\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.03, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2952*z + 1491*z**2 - 5639*z**2 + 1193*z**2 - 3*z**3 = 0. What is z?\nAnswer: -984, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -368*c**3 - 12*c**2 - 21*c + 13. Let z be x(-11). What is z rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**3 + j**4 + j**2 + 12 - 12*j**3 - 15 to the form q*j**4 + g*j + f + p*j**3 + n*j**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:09 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6082 - 81624681.\nAnswer: -81624680.3918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 42099 = -41519 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38232, 152920, 344068, 611676?\nAnswer: 955744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(1 - 1 - 2*l) - 2*l - l + 4*l + l + 4*l - 3*l)*(0*l**2 + 0*l**2 - 2*l**2)*(42*l**2 - 25*l**2 + 49*l**2).\nAnswer: -660*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l + 1. Let j(m) = 6*m**2 + 3*m - 6. Let u(z) = 5*d(z) + j(z). What is the tens digit of u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t. Let v(u) = 24 + u - 24. Let o(j) = g(j) + 6*v(j). Let x(r) = 2*r**2. Calculate x(o(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 7:57 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039.9 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 36*j + 11753. What is the hundreds digit of r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*s - 445*s - 25728 = -941*s - 80229 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a + 52*a - 14*a - 204 = 0 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 21. Suppose 2*r - l = 4*t, -6 = 5*t - 4*r - 4. Let a(x) = -2*x**2 - 2*x - 2. Let y(c) = -6*c**2 - 7*c - 7. Calculate t*y(g) + 7*a(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8 and -0.3.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 4*t**7\/105 + 3*t**5\/20 - 12*t**2. What is the third derivative of k(u) wrt u?\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 146.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -5*o. Suppose 0*b - 3*b - 4*u + 28 = 0, 2*u - 8 = 0. Suppose 7*z = b*z. Solve -16 = o*d - z*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31461.\nAnswer: 3, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116\/9 - -616\/45. Sort 5, j, 6.9 in descending order.\nAnswer: 6.9, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3\/9 - 308*r**2\/3 - 94864*r\/3 + 4571. Factor m(k).\nAnswer: -(k + 308)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 69. Solve -4*v - w = -13, v + 2 = 2*w + d*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163968071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 = 127*z + 52. Let r(i) be the third derivative of 3*i**4\/8 - 2*i**3\/3 + i**2. Calculate r(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115482836 is divided by 3560?\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7474225 (base 10) in base 12?\nAnswer: -2605441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 24, 33, 46, 63, 84?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/5217 and 53\/4570374?\nAnswer: 169103838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 593.9948 litres?\nAnswer: 593994.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 10 = 27*j. Solve 5*o - j*o + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128797.17 minutes to hours.\nAnswer: 2146.6195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15531 - 9756. List the prime factors of c.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1923*u**3 - 2*u + 1613*u**3 + 354*u**3 + 2*u.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11644*p + 12301*p - 4517*p + 1612524 = 0 for p.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -22. Which is the smallest value? (a) -1\/2 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/14 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:24 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1348.348 to 0 dps.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -12815?\nAnswer: -12812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1)*20\/(-10). Let g(c) = -6*c**2 - 6*c + 2. Let q(p) = -5*p**2 - 5*p + 2. What is l*q(a) + 3*g(a)?\nAnswer: 2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(329\/(-42) - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*y = -371, 3*y = 6*y - 9. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394, -1467, -3254, -5755, -8970, -12899?\nAnswer: -17542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:16 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 8*k + 21. Give y(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1998, -3117, -4236, -5355, -6474?\nAnswer: -7593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-20) + -3 + (-52)\/(-20). Suppose -2*k - 3*p = 4 - 13, -2*p = -3*k + 33. Suppose -k = 3*m + 2*m - 2*y, 0 = m + 3*y - 5. Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**2 - 1158*q - 10913. Calculate g(-224).\nAnswer: -2401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 - 7*y**3 + 309*y**4 - 311*y**4 + y**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cc (base 16) in base 3?\nAnswer: 222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 3:59 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 - n - 3. Let k be p(-3). Suppose k = -4*o + 26 + 6. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4, 0.13, -4\/3, 14, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358 - -251. What is the tens digit of b\/(-3) + 2\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207604331 to the nearest integer?\nAnswer: 14408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7577*y - 7. Let p(m) = m + 16. Let k be p(-7). Let h be u(k). What is h rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**2 - 781*q - 5937. Calculate l(-8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-12)*8\/(-10). Suppose -2*j + 9700 = g*j - 4*t, -5*j = t - 12131. Suppose -9*v + j - 410 = 0. 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 r = 4.03 + -0.03. What is the second biggest value in -2\/15, -5, r, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s**3 - 75*s**2 - 120*s - 55 = 0.\nAnswer: -11\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1185680 + -15?\nAnswer: 1185664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i**3*j**3 - i**3*v - 23*i*j**2 - 13*j**3*v**2 + 2*j*v**2 wrt j?\nAnswer: -36*i**3 - 78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w - 113 = 127 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 100 = 12*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/122347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -912 and 0.0351.\nAnswer: -911.9649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*f + 54 - 1\/9*f**3 + 16\/3*f**2 = 0. Calculate f.\nAnswer: -3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*k + 1, -5*k + 9*k = -2*i + 14. Solve 2*n - 2 - k = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/1*(-14)\/(-35). Suppose -4*r + 4 = 0, j*s = 3*s + 3*r - 4. Suppose 3*i + 2 = -4. Put -3, i, s in decreasing order.\nAnswer: s, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*a - 32, 2*s + a = -3*a + 4. Solve -4*o + 3*o + c - 6 = 0, -4*o - 5*c = -s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 96. Suppose -496 = -4*t - 7*d + 3*d, 0 = t + u*d - 125. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14223744 to the nearest integer?\nAnswer: 3771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {q: 1, e: 6, g: 1, u: 9, f: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 37. Suppose -42*q + 1788 = -x*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 2. Let z(x) = -6*x**2 + 3. What is -3*n(l) + 2*z(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 12*q - 28. Let h be 0 + 110\/q - 36\/126. What is the remainder when 6 is divided by 2 - (h\/4)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oezttzoddoddztd. Give prob of sequence oot.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3529730 minus -3386419?\nAnswer: 6916149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 + 10*z**3 + 3*z**2 - 166*z - 280 = 0. What is z?\nAnswer: -7, -5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1083.42251 and -2.33?\nAnswer: 1081.09251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10968*w - 537429. Let l be r(-49). Solve -4\/3*g**2 - g**l + 4\/3*g**4 + 7\/6*g - 1\/6*g**5 + 0 = 0 for g.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/28 + (-26)\/(-56))*-2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 - -224. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2442\/21 - 12\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 7. Let t = -52 + b. Let g = 82 + t. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/21 and -11\/1341.\nAnswer: 9387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:11 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((63\/35)\/3)\/(1\/5). Let m(u) be the second derivative of 5*u - 5\/2*u**2 + 0 - 2\/3*u**s. Calculate m(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1633836 and -95\/3331744.\nAnswer: 169918944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*o**4 - 13*o**5 + 69*o**4)*(-1 - 6 + 6)*(3 - 3 + 3).\nAnswer: 39*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77063507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -29317 greater than -29316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363\/2*f**3 + 8 + 242\/3*f + 722\/3*f**2 + 27\/2*f**4 = 0 for f.\nAnswer: -12, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a - 36 = 2*v - 252, 0 = 3*v + 8*a - 112 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28535\/878*(-32)\/(-3016).\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 + (7 - 2) + -3) - 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 15 - 10*n**3 + 11*n**3 + 15.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-90))\/(-7 + 476\/51).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 + 58*x - 14 - 92 + 7*x with respect to x.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h + 1. Let b be k(5). Suppose 4 = 5*d - 6. Solve 0 = b*u - d*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -253\/1348, -5, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -82*o - 176. Let j(v) = 3*v - 127. Let r be j(35). Let b be i(r). Calculate the highest common divisor of b and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.098 + -0.898. Let n = 3 - 3.3. Let m = n - f. Sort m, -0.5, 1\/6.\nAnswer: -0.5, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.044767 and -12.\nAnswer: 0.537204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86734235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**3 + 2*u**2 + 2*u + 13. Let t(r) = -28*r**3 + 9*r**2 + 9*r + 54. Give 18*s(m) - 4*t(m).\nAnswer: -14*m**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-1 - 1 - 20\/(-10)). Put x, -1, -1\/17 in descending order.\nAnswer: -1\/17, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 553, 1111, 1669, 2227, 2785, 3343?\n\"Answer: 558*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.59 - -23. Let c = o - 0.21. Let w = -53\/2 - -28. What is the biggest value in w, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 511 + -1021\/2. Which is the smallest value? (a) l (b) -0.015 (c) -13 (d) 4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162401659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 - 0.01. Let o(x) = x - 7. Let v be o(5). Let a be (-66)\/90 + v\/(-5). Put 2\/9, m, a in increasing order.\nAnswer: a, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k. Suppose 4*v + 3*n - 3 = 0, 5*n + 24 = 3*v - 0*v. Let u(z) = 9*z. Let y(d) = 4*d. Let g(t) = v*u(t) - 7*y(t). Give j(g(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + q. Suppose 3*n + n = 2*u - 18, -n = 5. Let a be f(u). Let w(p) = -4*p + 4*p**2 + p + 0 + 2*p + 1. Calculate w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1562? (a) -0.1 (b) -1\/4 (c) -5 (d) 3\/5 (e) -2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.8. Which is the biggest value? (a) -0.1 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 869 - 477 = 0. Suppose y = 2*a - 133. Let q = a + -134. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1\/2 (c) -0.51 (d) 2 (e) -0.232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 - 125. Suppose -z*m = 5*w + 253, 0*w - 3 = w. Let a = -113 - m. What is the highest common divisor of a and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 2005112948?\nAnswer: -2005112947.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -2.5. Let n = 0.37 - 0.07. Let f = -31\/115 + -3\/23. What is the closest to f in n, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 6*l + 3. Let r be i(6). Let p = 6.99 - -0.01. Let o = 7.1 - p. Which is the nearest to o? (a) -5 (b) -2\/21 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 5*h**2 + 6*h**2 + 4*h - 9*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b*b)**(-1))**(-6\/17) assuming b is positive.\nAnswer: b**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 o, and 1 a when four letters picked without replacement from paaaoaaoaaaaoaaa.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*-4*(-3)\/12 - -6857. Suppose -6*z - j + 6857 = -z, -j - r = -5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261859350 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -26*h - 3. List the prime factors of o(-5).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + t - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 6) + (-1 - -3) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -53. Let m = 4 + -4.1. Sort m, 1\/3, v.\nAnswer: v, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739*b = -1597*b + 363 + 63 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3296130246 to the nearest integer?\nAnswer: 57412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 11*w - 16*w - 3, 260*i - 7*w - 9 = 255*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1402, -1375, -1346, -1315?\n\"Answer: x**2 + 24*x - 1427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*t**2 - 3 + (-t**2 - 2 + 2)*(1 - 5 + 3) + 3 + 2*t**2 - 3 + (-4*t + t + 5*t)*(t - 2*t + 2*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 125675*c**2\/2 + 15794708313*c\/4 - 15793702929.\nAnswer: (c - 125673)**2*(c - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.683 - 0.283. Which is the nearest to n? (a) 0.4 (b) 2\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3) + (sqrt(3) - sqrt(3)*2)*2).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5*9\/(-4245))\/((-6)\/(-285)). Let g = i - -1\/283. What is the third smallest value in 3.7, -4, g?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3713*q + 3706*q = -14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12))\/((-82)\/100860*50).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207 + 300. Suppose -b = -4*j + 7. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1010000011?\nAnswer: -1010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -206*x**7\/105 - x**6\/60 - 853*x**5\/60 + x**3\/3 - 594*x**2. What is the third derivative of a(k) wrt k?\nAnswer: -9888*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(637) + 1)**2 + 6*(sqrt(325)*-2 + sqrt(13))**2.\nAnswer: -56*sqrt(13) + 3766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173860 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/h**(-7)))\/h))\/h**(-4))\/(h*h*h**(-2\/7))**16*(h**0*h)**(-35)*h**(-1)*h*h\/(h\/h**(1\/7)) assuming h is positive.\nAnswer: h**(-345\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3111 (base 5) to base 15\nAnswer: -1c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.911 to 1 decimal place.\nAnswer: -32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 114 = -20*c. Solve 2*u + o = c*o, 0 = 4*o - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u**12)\/((u*u**(1\/10))\/u**(-18)) assuming u is positive.\nAnswer: u**(-291\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6569.556 meters?\nAnswer: 656955.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fmmmbmmbmbfbccfmb.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i + 8. Let y = -4 - i. Suppose -3*v + 8*v = y. Which is the second biggest value? (a) v (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:11 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.026335 centimeters?\nAnswer: 60.26335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1131 divided by -1100.\nAnswer: 1131\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w - 20. Let z(u) = -2*u - 21. Let r be z(w). Suppose -5*k - p - 5 = -4*p, -25 = -5*p. Put r, 0.5, k in descending order.\nAnswer: k, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64.55 + -64. Let u = 0.45 + b. Sort 3, u, -3.\nAnswer: -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.1 - 35. Let s = t + 7.8999921. Round s to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-42)*-9)\/((-285)\/133). Which is the closest to z? (a) -1\/8 (b) 60 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1 + 1164*o + 1 - 12 + 1176*o - 2333*o. Suppose u + 2 = 3, -5*h + 54 = -u. What is the units digit of w(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -15666?\nAnswer: -15666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 33667*n**4\/4 - 11*n**3\/6 + 5*n**2 - 3*n. Let g be y(10). Round g to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3\/8 - 267*r**2\/4 - 23763*r\/8 = 0?\nAnswer: -89, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3, 516, 1, -4, -53 in ascending order.\nAnswer: -53, -4, -2, 1, 3, 5, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 - 12121?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 327, 349, 371?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*b + 22 = 0, -2*b + 639 = 4*a - 611 + 1272 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -7)*(-3)\/8 + 0\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/8)\/((-287)\/4). Let o = -23239\/1148 + v. Calculate the common denominator of o and -37\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 4, -5 in ascending order.\nAnswer: -5, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*b = -3*b + 41, 39*v - 40*v - 1384 = 42*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(57)\/(sqrt(12)\/sqrt(4)*-2))**2.\nAnswer: -3*sqrt(19) + 55\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7752.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*l**3 + 2 + (2*l**2 + 2 - 2)*(-l + l - 2*l))*(3 - 2 - 2 + (-2 + 3 - 3)*(0 - 2 + 5)).\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {b: 3, j: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p + 560. Let m(r) = -15*r + 640. Let t(g) = -8*a(g) + 7*m(g). Let x(c) = 2292*c**2. What is x(t(f))?\nAnswer: 112308*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158735 by 125.\nAnswer: -31747\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. What is the nearest to 1 in j, 0.1, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 27*n - 2. Let f be (0\/2)\/(12 + -13). Suppose z = -f*z - 3*y + 3, 3*z - y - 9 = 0. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - (0 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78561, 78849, 79137?\n\"Answer: 288*k + 78273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/721 (b) 1\/17 (c) -193838 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w + 34*w - 85 + 85.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.0353.\nAnswer: 0.01412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/3))\/g*g**(-3)*g*g)**44\/(g**(1\/3)*g\/(g*g\/g**8))**26 assuming g is positive.\nAnswer: g**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3523*h + 7043. What is z(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2) + (-10 - -10 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u + 1. Let k(o) = 26*o + 144. Determine -3*g(m) - k(m).\nAnswer: -5*m - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/850901 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -196240 rounded to the nearest one thousand?\nAnswer: -196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -42*y**2 - 3. Let q be h(3). Let d = q - -441. Calculate the least common multiple of d and 114.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42848 + 42850. Factor 1\/4*c**q - 1\/8*c**3 + 1\/2*c - 1.\nAnswer: -(c - 2)**2*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -54 (b) -1 (c) -2.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*t - 5. What is the second smallest value in 0, -4, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-615)\/205*986\/58.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 1\/(-3)*7. Factor -t*l**2 + 0 - 2\/3*l - 2\/3*l**3.\nAnswer: -2*l*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = 21. Suppose 0 = -l*y - 18 + 78. Suppose y*a - 574 - 101 = 0. Calculate the greatest common divisor of a and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 29875*j - 29887. What is x(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 6*g**2 + 3*g - 1. Let k(p) = p**3 + 5*p**2 - 3*p + 1. Give 6*k(z) + 5*u(z).\nAnswer: z**3 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1777784750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 432793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 325, 478, 631, 784?\n\"Answer: 153*i + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -79. Let x = -3096\/13 - -238. Which is the nearest to n? (a) -2 (b) 120 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = -0. Let v(o) be the second derivative of 1\/6*o**w - 2*o + 0*o**3 + 0 + 1\/2*o**2. Differentiate v(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 57*h**2 - 243*h - 46. Is i(43) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5272505 by -199.\nAnswer: 26495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 1577863234309.\nAnswer: -1577863234309.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*t - 2 = t, -4 = -o + 5*t. Which is smaller: 26 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 - 328*b\/3 + 263075\/2.\nAnswer: -(b - 619)*(b + 1275)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, 10, 0.1, 0.2, 4 in descending order.\nAnswer: 10, 4, 0.2, 0.1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h**2 - 2 + 3*h**2 - 21*h**2 + 2. Let g(r) = 5*r**2. What is m(g(p))?\nAnswer: -100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*w = -14, d + 12*w = 16*w - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:11 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (28 + -56 + 2052\/72)\/((-122)\/8)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 1:45 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -11297.\nAnswer: 4\/11297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/14330, 5, -0.1, 0.17, -4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iylryl. Give prob of sequence yr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 59*m - 13. Let l(a) = -9*a + 2. Let t(o) = -6*b(o) - 39*l(o). Let v(u) = -176*u**2 + u. What is t(v(r))?\nAnswer: 528*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 plus -613145?\nAnswer: -613194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -61. Let i = 22 - m. Let y be (-63)\/(-28)*(-2)\/9*-3. Which is the biggest value? (a) y (b) 0.4 (c) i (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155067878.\nAnswer: 2, 3, 163, 1181051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 5*i + 0*i)*(0*i + 0*i + i) + 2*i**2 + 2*i**2 - 2*i**2 + (i - 1 + 1)*(-i + 2 - 2) + i**2 - 5*i**2 - 11*i**2 to v*i + b + m*i**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-2))\/((-2)\/4). Suppose -2*n + r*n + u = -5, 0 = 2*n - 3*u - 4. List the prime factors of 36*3\/((-3)\/n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 25, 76, 179, 352, 613, 980, 1471?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 4*p + 7, 2 = -2*p. Suppose 2*k = 0, 2 = a*b + 5*k - 2. Solve -17 = -4*y - 2*m - m, b*m - 4 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -916 less than 6?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*h + 138 = -q, 0 = 4*h - 4. Let g = q - -70. What are the prime factors of ((-1)\/(-4))\/(g\/(-964))?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 15) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41488 + 69539. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-12) + (-481)\/(-1092) + (-3)\/7.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 + 7*s + 5. Suppose 0*f + 4 = 2*f - 2*w, -3*f + 30 = 3*w. What is the units digit of a(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a second in milliseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 84, 73, 42, -21, -128, -291, -522, -833?\n\"Answer: -2*q**3 + 2*q**2 - 3*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5305 - -364. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 164\/(-10) - 4\/(-10). Let c be ((-9)\/4)\/(6\/w). Let p = 12.2 + -12.5. What is the third smallest value in p, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 17, 1636, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 968 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 1\/11 (c) 5 (d) 3 (e) 12068\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -67*l**3 + 52*l**2 + 3*l - 23. Let w(k) = -17*k**3 + 14*k**2 + k - 6. Let g(n) = -3*t(n) + 11*w(n). Give g(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103248 divided by -2151?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**2 + 49 + 12*p - 22 + 5*p - p**3. Suppose 101 - 270 = 10*x - 79. What is the tens digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 11*p - 24. Solve -p*c + r = -13, -r - 2*r = c - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 3*l + (-5 - 10 - 10)*(2 - 3 - 1)*(-8*l + 12 - 12) to v + q*l and give q.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 268*w + 141*w - 2866 = 0, -9*o + 3*w - 19 = -11*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 6*r - 8*r. What is the remainder when 33 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.538982 decades?\nAnswer: 184.67784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b - 4. Let g be q(-3). Let l = 35 + g. Calculate the highest common factor of 28 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*sqrt(57)\/sqrt(3)*1)**2 + ((sqrt(475)*-1 + -3)*-3)**2.\nAnswer: 270*sqrt(19) + 4831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16544 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20323324338 and 2.085.\nAnswer: 20323324340.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-9 - -8))*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/21)\/(4\/(-7))*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 383139 or 383140?\nAnswer: 383140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + j**4 - 7 + j**2 - 10 + 3*j**3 - j as k + x*j**3 + b*j**2 + w*j + z*j**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 881*v + 4. Let g(j) = 4407*j + 22. Determine 11*d(b) - 2*g(b).\nAnswer: 877*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1925176, 3850555, 5775934, 7701313?\nAnswer: 9626692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204*k*p**2*x**3 + k*x**3 + 223*p**2*x**3 wrt k.\nAnswer: -204*p**2*x**3 + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -4*g - 2. Let b = -7 - -25. Let f be (-2)\/(-9) - (-176)\/b. What is the greatest common divisor of f and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + (-21 - (-10 + -7)) + -12?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, m: 10}. Give prob of sequence mmm.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -508, -480, -440, -388, -324, -248?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119866*x**4 + 38*x**3 - 2*x**2 - 10946151*x.\nAnswer: -1438392*x**2 + 228*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10953236 and 24644781.\nAnswer: 98579124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-5*(sqrt(13) + 0 + sqrt(13)) - sqrt(13)) + -3) - (-5 + (sqrt(91) + (6*sqrt(91)*2 - sqrt(91)) + sqrt(91))\/sqrt(7)))**2.\nAnswer: 1360*sqrt(13) + 60212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**3 + 26*r**2 + 52*r + 16.\nAnswer: -2*(r - 4)*(r + 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/93006419?\nAnswer: 4\/93006419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/8? (a) -1 (b) -0.216 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1104, 4, -3, 2990, -1, 2 in descending order.\nAnswer: 2990, 4, 2, -1, -3, -1104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.01.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(6\/7)\/m*m*m\/(m*m**(1\/58)*m) assuming m is positive.\nAnswer: m**(-65\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9891)\/1256*-4*1*2*7\/7\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2114928206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 533*j - 67. Let t(q) = -3*q**2 + 356*q - 42. What is -5*p(u) + 8*t(u)?\nAnswer: u**2 + 183*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 45.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 140*i**2 + 136*i + 161. Determine j(69).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212.9 + -197. Let l = -14 + -2. Let a = i + l. What is the closest to a in 1\/6, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*b - 5643 + 7789 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2973.7361 rounded to the nearest integer?\nAnswer: -2974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = 5*a, -27 = a - 4*y - 9. Let b(g) = -4*g**3 + 3*g**2 + 7*g + 12. Let i(m) = m**3 - m**2 - 2*m - 4. Let u(o) = a*b(o) + 7*i(o). Determine u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 882901813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5522?\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 800 and 13360.\nAnswer: 133600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15)\/l**(1\/5)*(l**(-2\/17))**10)**(3\/10) assuming l is positive.\nAnswer: l**(-2088\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 69348 - 69347. Let q be 46\/14 - 6\/21. Let l be q\/(-46)*8\/18. Is p bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-945)\/18))\/(1\/2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 64. Suppose -8*q + d = -9*q. Sort 25, q, 5, -2 in descending order.\nAnswer: 25, 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(672))\/(6*sqrt(28)\/sqrt(4)))\/(1*(3*sqrt(24)\/sqrt(3) + sqrt(8))\/sqrt(4)) + -2.\nAnswer: -2 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**5 + 0*l**5 + 2*l**5)*(-2 - 3 + 3) + 2*l**5 - 2*l**5 - 2*l**5 - l - 2*l**5 + l - 2*l - l**5 + 2*l + (3*l + l - 2*l)*(l**4 + 0*l**4 + l**4).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5*n**2 + 9.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -8 (b) 2\/15 (c) 0 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4698 and 838?\nAnswer: 1968462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - ((-6)\/(-33) - (-48)\/(-22)). Let u(z) = -z + 1. Let r = 31 - 23. Let x(f) = -1633*f + r + 814*f + 817*f. Calculate y*x(d) + 6*u(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.68187222 + 0.01233778. Let v = i - 31.7. Round v to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128862870?\nAnswer: 2, 3, 5, 71, 101, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -10. Find the second derivative of 115*u**2 + f*u**2 - 22 + 6*u + 9 + 12 wrt u.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4305257254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*h**2 - 237*h**4 + 704*h**4 - 13*h - 7*h**3 - 231*h**4 - 237*h**4 - 4*h**3.\nAnswer: -h*(h - 1)**2*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (27 - 14) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 3*n - 4, 2 = -x - 5*n. Let l be (-1)\/30*x\/(-3). Let c = l + 2\/9. Is c <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 11. Let v be n(-14). Suppose -v*q - 3*x = -33, 0 = 2*q - 4*x - 0*x - 16. What is the derivative of -14 - 7*z - q*z - 6*z + 35*z wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030688 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 808178625 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14980774*l**3 + 6143025*l**2 + 1 wrt l?\nAnswer: -89884644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0) + (-5)\/(-9). Let y = z - 43\/45. Let b = -2.8 + 3. Which is greater: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let j = w - -3. Find the third derivative of -3*y**2 - j*y**2 - 2*y**5 + 4*y**2 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18109936, -18109932, -18109918, -18109888, -18109836?\n\"Answer: x**3 - x**2 - 18109936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by -14562\nAnswer: 58\/7281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2779310\/(-29185) - 94\/(-1)\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-36))\/(113\/(-678))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717766899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 12276 = -5*p. Suppose -p*v = -555*v - 60. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 10 = d, 5*d = -36*h + 33*h - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*b = 24, 0 = 2*a - 563*b + 562*b - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u + 7715 = 8744 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 6 + (-2 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from mmmflclm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/5 - (0 + 1). Let f = 22.8 + -20.8. Let r = 0.2 + -0.3. Which is the closest to r? (a) 3\/2 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1\/2 (b) 1\/2 (c) 1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5237 + -5794?\nAnswer: -a9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 4, k: 5, i: 1, r: 4, w: 4}. Give prob of picking 1 i and 1 w.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2012354*x - 1382*x**2 + 10 - 2012379*x - 10)*(x**2 + 3*x**2 - 2*x**2) to n*x**2 + j*x**4 + u*x + d + g*x**3 and give j.\nAnswer: -2764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 2. Let l be j(-2). Suppose 3*w + 2*b + 0*b - 22 = l, 19 = w + 3*b. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**8\/420 - 7*a**6\/90 - 16*a**5\/15 + 21*a**2. Let j(t) be the third derivative of q(t). What is the derivative of j(c) wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1764 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.096 times 17\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*(7 + -12) + (4 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -7*q**4\/12 - 44*q**3\/3 + 12134*q**2. Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 + (3 - 1) - -6) + 2412 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 300 + -305. Suppose 2*l = 7 - 1. Let p be (-1 - -7)*(-4 + l). Is p at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 34 - 3\/2*v**5 - v**2 + 0*v**4 + 0*v + 2\/5*v**6 + 0*v**3. Find the third derivative of o(j) wrt j.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 33*b**3 + 240*b**2 + 2700*b.\nAnswer: -3*b*(b - 9)*(b + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1145.3 + 1145.3. Let f = -0.3 - -0.3. Let n = f + -0.1. Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8058500 to the nearest 10000.\nAnswer: 8060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3082 + -170. Does 56 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/27 - (-14)\/(-72)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6 - 2 + 2*h - 3 - 4*h. Let v be 10\/(-4) + 2\/(-4). Let m(o) = 2*o - 1. What is v*m(s) - 2*i(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -20*a + 19*a + 74, -37 = -w - 2*a. What is the remainder when w is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/54 + 28*a**3\/27 - 29*a**2\/9 - 2*a. Factor x(d).\nAnswer: 2*(d - 1)*(d + 29)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8763*f**2. Let o(s) = 35*s**2. Calculate n(o(q)).\nAnswer: 10734675*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -6. Let m(o) be the third derivative of o**7\/2520 - o**6\/180 + o**5\/30 - 2*o**2. Let f(n) be the third derivative of m(n). What is f(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**4 + w**3 + 5*w**2 + w - 4. Let z(o) = -7*o**4 + 2*o**3 + 9*o**2 + 3*o - 7. Let v(x) = 10*j(x) - 4*z(x). Find n, given that v(n) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703335131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/15*(-100)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5 and 17\/101.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 9:52 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*c - 524, n + 76 = 5*c + 230. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43594 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 0 in descending order.\nAnswer: 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -68. Let r(h) = 25*h - 1. Let j be r(6). Let w = d + j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (26 - 37 - (-8 + (1 - 0)) - 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((34 - 14) + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 466 (b) -1 (c) 2 (d) 2\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.642 + -0.642. Put 1\/5, -3, w, -2\/37 in increasing order.\nAnswer: -3, -2\/37, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-14\/5))\/u)\/(u\/(u\/(u\/(u*u**30*u))*u)))\/(u\/u**(-4\/13)*u*u**(2\/57)) assuming u is positive.\nAnswer: u**(99506\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-910)\/(-30))\/((-1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3))**(-21\/4)\/(g**(-8))**43 assuming g is positive.\nAnswer: g**(709\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9639257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o*o**(3\/7))\/o)*o)\/o*o*o**(2\/7) assuming o is positive.\nAnswer: o**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417684336 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122003560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1561*g**3\/6 - 10930*g**2\/3 - 76573*g\/6 - 49.\nAnswer: -(g + 7)**2*(1561*g + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 5 - 6 - 2*b**2 + (0*b - b + 3*b)*(-2*b - 2*b + 3*b) + b**2 - 5*b**2 + 2*b**2 + (3*b**2 - b**2 + 0*b**2)*(1 - 11 - 10).\nAnswer: -46*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 47*p**4 - p**4 + (p**2 - 3*p**2 + p**2)*(-4 + 4 + 2*p)*(-6*p + 4*p - 14*p).\nAnswer: 80*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*1 + sqrt(3))**2 - -5*(sqrt(3) - sqrt(9)\/sqrt(3)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q + 303. Let y be m(-50). Let g(s) = -5*s**2 + 3*s + 3*s + 7 + 3*s + 7*s**3 - 2*s. Let d(o) = 4*o**3 - 3*o**2 + 4*o + 4. Determine y*g(p) - 5*d(p).\nAnswer: p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:12 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 3074?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78318 and 12366?\nAnswer: 234954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 2*s - 5. Let a be 6\/(-4) + 7\/2. Suppose 0 = 3*u + a*u - 25. Calculate the least common multiple of u and n(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4.95, 2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 91*q - 4 + 6.\nAnswer: 91*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 196*n + 10 + 616*n - 208*n - 197*n.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose 0 = b - r*k - 412, -3*b + 2*b + 5*k + 400 = 0. Suppose 0 = -2*c - c + b. Calculate the highest common factor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(-10)*w)*w)*(w**3*w)\/w*w)\/((w**(-6)*w)\/(w\/w**(-2\/11))) assuming w is positive.\nAnswer: w**(233\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Suppose -4*z = -u*z - 230. What is the greatest common factor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 1187 = -10997. Suppose -4054 = -10*s - n. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -743, -1125, -1503, -1877, -2247, -2613?\nAnswer: -2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 1224*a - 1226*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1326 and 660348.\nAnswer: 660348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 3:53 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 + (-4095)\/35 - 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -13*m - 63. Solve -w + 5*b = -0*w + m, -2*w - b + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 629 - 99. Does 531 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -750 + 761.6. Is 3 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-18) - 1121\/(-114). Let u be 12 - m\/((-40)\/(-36)). Let d(l) = 0 + 5*l - l**2 + 5 - 3. What is d(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:45 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -822 + 474. Let m = 197 + g. Let f = 139 + m. Which is the third smallest value? (a) -5 (b) 0.4 (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(432) + 0) + (-2*(sqrt(192) + (1 + sqrt(192) + sqrt(192) - sqrt(192))))**2 + (sqrt(192) + 0)**2 + 3.\nAnswer: 164*sqrt(3) + 3268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/(h\/h**5*h)))\/(h**(-3\/2)\/h))\/(h\/h**(4\/7)*h**(-3\/5)))**48 assuming h is positive.\nAnswer: h**(1128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2 - n - 3*n - n**2 - 3*n. What is the units digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 23 + 31 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11655 - 2.\nAnswer: -1.88345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 2*r - 8, -5*m = -3*m + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10529193 is divided by 5264585?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzv when three letters picked without replacement from zzzzvzzzzzzzzzzvzzz?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9586 + -9573. What is the remainder when 61 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2 - 2*v**3 + 0*v**2 + v + v**2 - 2*v. Suppose 0 = s + 4*x - 2, x - 1 = -0*x. Is q(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120459, -239029, -357599?\n\"Answer: -118570*v - 1889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21332 is divided by 904.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -10 - (7 - 5). Let h = 21 + n. What is the highest common divisor of 20 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357688 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Suppose -25 = -c*f + r, 4*f + 3*r = r + 46. Let h(o) = 4*o**2 - 5*o + 9. Let j be h(5). Calculate the highest common divisor of j and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -179. Let s = 0 + 0.06. Which is the nearest to 0? (a) h (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-28)*-8*7. Let g(t) = -2*t - 2. Let l(f) = -5*f - 5. What is c*l(v) - 11*g(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, 1 n, and 1 w when four letters picked without replacement from oooznfooowooqnzff?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -0.2, -0.4, 20 in increasing order.\nAnswer: -0.4, -0.2, 0.09, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 254, 399, 564, 755?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3221757 - -2?\nAnswer: 3221761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/48 and 13\/504.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*w - 29 = 0, -5*j = -w + 1 - 6. Suppose j*z - 5*z + 24 = 0. Calculate the remainder when 61 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 0*d**2 - 122*d - 28*d**3 - 8*d**3 + 13*d.\nAnswer: -36*d**3 - 2*d**2 - 109*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2132, -4261, -6390, -8519, -10648, -12777?\n\"Answer: -2129*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c = l + 485, -5 - 12 = -2*l - 3*c + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5397 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -348?\nAnswer: 1\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 16) to base 4\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9938080 to the nearest 10000.\nAnswer: -9940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r. Let n(q) = -q**3 - q**2 + 5*q. Let i(o) = o**3 + 7*o**2 + 1. Let l be i(-7). What is l*n(y) + 3*x(y)?\nAnswer: -y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3792)\/(-78))\/4 + 8\/(-52). Find the common denominator of (1\/s*-3)\/(4\/14) and 81\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45607 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*a + 22443663 = 22448598 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 218.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2, -5 = 3*x + 2*j - 3*j. Let y be 78*1 + x - 2. Suppose y = 4*o - 121. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*y - 138, 0 = -o - y + 8 + 36. Solve 1 = o*m - 224 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (121\/(3388\/24))\/((-52)\/(-14))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 49. Suppose -q - 6 = s + 5, 5*q = 4*s + l. Let f(o) = -6*o - 18. Is 12 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56409, 112609, 168807, 225003, 281197?\nAnswer: 337389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/25 - 159\/100. Let z = 5.129 - 0.129. Let h = -75 + 77. What is the nearest to a in h, z, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -411126, -822270, -1233414, -1644558, -2055702?\n\"Answer: -411144*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 0 - 9 - (-17 + 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:04 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 349*v**3 + 2*v**2 + 282*v - 1120. What is the ten thousands digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m**2 - 2*m**2 - 140 + 143 + 12*m**2 + m**3 + 18*m. Let n be o(-18). Solve j + 8 = -n*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**35*q**(1\/17))**35 assuming q is positive.\nAnswer: q**(20860\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*n*y + n*z - 406*n - 2*y*z - 182*y - 34*z + 2 wrt y?\nAnswer: -13*n - 2*z - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*b - 101. Let g = -179 + 173. Let z be (-2)\/(g\/543) - 6. Calculate the greatest common factor of b and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in -0.1, 12, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 5*a. Let r be g(4). Suppose 4*l = -r + 708. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - k. Let s be n(-1). Suppose 0 = 5*z + s - 39. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -1.05. Let z = x + 4. What is the third biggest value in 0, 0.5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 1\/6, -3\/17, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 + 83*j + 91. Let f be u(-8). Let y = -3 + 5. Suppose 0 = -y*i - l + 5977, -3 - 6 = f*l. Round i to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 72 = 4*r, r - i - 4*i = 18. Suppose 14*d - 1200000 = r*d. Round d to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95227?\nAnswer: 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose 8*u - 20 = s*u. Suppose 2*q - q = -u. What is the third smallest value in 3, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 143*l**2 - 29*l + 3. Calculate v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 + -53. Let g = 74 - x. Let t be 64\/231 - (40\/g + 6). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19492408.\nAnswer: 2, 13, 23, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233238112 is divided by 4492?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19685 rounded to three decimal places?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1781141.\nAnswer: -1781141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0090913 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*1\/(-5) - -4. Solve -2*l + 1 = -l - 5*b, -i*b = -5*l - 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 11271043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n**3*s*t**2 + n**3*s*t - n**3*t**2 + n**3 + 14*n**2*t**2 - 7*s*t**2 wrt s?\nAnswer: -4*n**3*t**2 + n**3*t - 7*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2076 - 2071. Solve -3*a + j*n = 11, 4*n - 6*n + 10 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -5*p**2\/2 - 13*p + 4. Calculate the remainder when w(-6) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19458)\/(-34686))\/(46\/2)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17883 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 3 - 1 + 5*b + 4*b to f + s*b and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27 - 4444\/(-165)) + (-6)\/45. Which is the biggest value? (a) 2 (b) 4412 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12067*w**2 + 10741*w - 10. Let a(n) = 6035*n**2 - 5371*n + 4. Let l(q) = -5*a(q) - 2*x(q). What is the second derivative of l(z) wrt z?\nAnswer: -12082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9) - 740\/24)*-2. Which is bigger: 62 or r?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 32 = -2*a, 2*t - 5*a = -0*t + 32. Suppose -h + 43 = t. Suppose 40*c - 6099 = h*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9))\/(12\/(-18))*-316. Solve 9*d + 155*d**2 - r*d**2 + 0*d = 0 for d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19134 to the nearest 100.\nAnswer: -19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 2*c + 48. Let i(r) = -5*r**2 + 5*r + 120. Let u(n) = -5*f(n) + 2*i(n). Let m(d) = 299*d**2. Give u(m(w)).\nAnswer: 447005*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -19627 (b) 3 (c) 2\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 814 - 809. Solve -h*v = -5*m - 25, -22 + 0 = 4*m - 5*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -96. Which is the biggest value? (a) y (b) -0.8 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 4*s**5 + 2*s**5 + (0*s - 2*s + 0*s)*(1 - 1 - 2*s**4) + (s - 2*s + 3*s)*(0*s**4 + 2*s**2 + 13*s**3 + 6*s**4 - 14*s**3).\nAnswer: 17*s**5 - 2*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75919 and 3941863.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9998991g to nanograms.\nAnswer: 999899100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 297, 667, 1177, 1821, 2593, 3487, 4497?\nAnswer: 5617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 8895.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 13507180?\nAnswer: 1350717b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -4 - 42 - -3) + 64.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -4.3292?\nAnswer: 12.9876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 divided by -19.\nAnswer: 162\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/240)\/((-10 - -1)*(-5)\/90).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28622 is divided by 990?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*c = 11, -132*c - 14 = -2*d - 134*c. Factor 3\/2*i - 1\/2*i**2 - d.\nAnswer: -(i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 54. Find h, given that -1\/5*h**2 + 0 + 0*h + 2\/5*h**l - 1\/5*h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhddhhhdh. What is prob of sequence hh?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531337023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*33\/44*(-2)\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 3:02 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4\/5 - 52*l**3 - 1966*l**2\/5 - 1708*l\/5 = 0.\nAnswer: -122, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(343) + -5)**2.\nAnswer: -14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 4, h: 3, r: 2}. What is prob of picking 1 h and 1 l?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 3:12 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let i(l) = -l**2 + 9. Let r(d) = -7*d**2 + 662*d + 54. Let c(a) = -6*i(a) + r(a). Determine c(m(v)).\nAnswer: -4*v**4 + 1324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/2 + 4*a**3\/3 + 5*a + 3. Let g = -53 + -3. Let s = g - -52. Let d(m) = 5*m**3 - 9*m**2 - 11. What is s*d(f) - 9*p(f)?\nAnswer: -2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -55. Suppose -3*l = q - 316, l - 1319 = -4*q - i*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 9\/(2 - -1). Suppose -2*n + 6 = -3*j + g*n, 0 = -2*j - n - 15. Let o(r) be the first derivative of -r**2\/2 - 5*r + 43. Determine o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w**(-11)*w*(w\/w**(-2\/3))**(-14\/11))**(2\/3) assuming w is positive.\nAnswer: w**(-866\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 3875.\nAnswer: -1162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32584107 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 - 6*g**4 - 2 + 1 wrt g.\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/7*(-42)\/60\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzzzzkkzkiiz. What is prob of picking 2 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*w**3 + w**2 + 48*w**3 + 51*w**3 + 46*w as a*w + n + j*w**3 + b*w**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 218*c - 4. Let x(t) = -t + 8. Let z be x(5). Let p be b(z). Round p to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79797616 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 2, d: 4, q: 1, m: 2}. Give prob of picking 2 d, 1 q, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3131975229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 2, s: 14}. Give prob of sequence sag.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19339056, 19339049, 19339042?\n\"Answer: -7*s + 19339063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 4*o + 16 = -12*x, 3*x + 4*o = 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*a - 24, -3*f + 2*a + 16 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9747 and 891670?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 79 = 3. Let n = 127 + o. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 488 = -100. Let y = k - -241. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 99084475, 99084469, 99084461, 99084451, 99084439, 99084425, 99084409?\n\"Answer: -d**2 - 3*d + 99084479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-17)\/s)**(-40))**39)**(-2\/47) assuming s is positive.\nAnswer: s**(-56160\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 277 + 262 = 5*j, 5*k + 45 = -10*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -808 - -801. Let d(r) = -32*r - 221. Let z be d(u). Factor 0 + 0*y + 4\/11*y**2 - 6\/11*y**z + 2\/11*y**4.\nAnswer: 2*y**2*(y - 2)*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - ((-21 - -2) + 8). Put o, -24, -2 in descending order.\nAnswer: o, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 4807?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1334 - 1311. Calculate the greatest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4, 5*i - 410 - 30 = 5*g. Let j = -155 - g. What is the hundreds digit of -3 - 205\/j - (-1714)\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -44. What is the first derivative of 12923*h - 22 + b*h**2 - 12923*h wrt h?\nAnswer: 32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*d**2*x**4 - d**2*x**3 - 67*d**2*x wrt x?\nAnswer: 708*d**2*x**2 - 6*d**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62028199199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. What is the nearest to t in -4\/3, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/45)\/7 + 0\/42.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -519782 <= 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11180 + -5692. Is c a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*i - 4*i - 14, 0 = 4*i - 5*s + 26. Sort -5, i, -9, -1 in descending order.\nAnswer: -1, i, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -149439397 and 0.146815.\nAnswer: -149439396.853185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -1\/24*i**4 + 0*i + 0 + 0*i**3 + 3*i**2. Let n be 3 + ((-2)\/6)\/(5 + (-44)\/9). Give z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -6233 (b) 0.5 (c) 657 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-2466)\/15 - -2. Let w = g + 168. Let k = -6.2 + 0.2. What is the closest to k in 0.2, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 bigger than 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 53?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 plus -7809?\nAnswer: -7808.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -120111?\nAnswer: -120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7277 - 1.3\nAnswer: -7278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (55 - -13) + -98 + (45 - 2 - 0)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91.00284 - 5.\nAnswer: -96.00284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15b55 + -112?\nAnswer: -15c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4\/(-1) - (14805\/(-546) - -26)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 3*l + 1. Let q = -16 + 12. List the prime factors of n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l + 13. Let k = l + -9. Let p(r) = r + 6. Give p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 22*x**2 - 44*x - 9. Determine o(-20).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -5, 0 in increasing order.\nAnswer: -5, 0, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -271.5 + -1.\nAnswer: -272.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(6\/363))\/(19\/38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 3*c - c)*(-2 - 5149*c**3 + 11056*c**3 - 5000*c**3) to the form b + t*c**4 + d*c**2 + x*c**3 + s*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 1. Let x be a(1). Solve -2*m - 4 = x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/3 - 152*k**3\/3 - 150*k**2 - 2*k + 5134. Solve r(h) = 0.\nAnswer: -75, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -543 + -5639. Let x = t - -6210.9956. Let v = 29 - x. Round v to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + -0.05. Which is the smallest value? (a) -4 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.320834km in nanometers?\nAnswer: 2320834000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 19 - 8*t**2)*(-3*t + 4*t - 2*t)*(-9 + 3 + 1) in the form m*t**3 + p*t**2 + v*t + y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -130 - 33*n + 48 - 3*n + 6*n + 2*n**2. Let k(t) = 5*t**2 - 89*t - 247. Let w(g) = 2*k(g) - 7*q(g). Factor w(c).\nAnswer: -4*(c - 10)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5713576354?\nAnswer: 2, 151, 18919127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -10, -37, -76, -127, -190, -265?\n\"Answer: -6*d**2 + 3*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 310, 1224, 2742, 4864, 7590, 10920, 14854?\n\"Answer: 302*f**2 + 8*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Is (93\/b)\/((-6)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 6*a + 297.\nAnswer: -3*(a - 11)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4*y - 7. Is r(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 19, -3 in decreasing order.\nAnswer: 19, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**5 + t**5 - 2*t**5)*(18 + 29 + 60)*(3 - 1 - 1).\nAnswer: -214*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2312, 3652, 4980, 6290, 7576?\nAnswer: 8832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24730*m*y**5 + 9392714*m*y - 201*y**5 wrt y?\nAnswer: 494600*m*y**3 - 4020*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or -10.060501?\nAnswer: -10.060501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3388\/(-66))\/(-22)*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:03 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69387 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7418909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 141. What is the second biggest value in y, -55, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 14906.\nAnswer: -2981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7521 is divided by 1874?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -715 - -892. Put 2, t, 0.5 in decreasing order.\nAnswer: t, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(sqrt(132) - (sqrt(132) + 1*sqrt(132)*3 + sqrt(132)))\/(sqrt(24)\/(sqrt(8)\/sqrt(4)))*5.\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4711 + -4702. Which is the third biggest value? (a) 11 (b) 0.048 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/17)\/(1*(-1)\/1)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -42*o - 465. What is i(-10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202333002 (base 5) to base 6.\nAnswer: 25355223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 11:22 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -18*k**3 - 6*k**2 - 14*k - 10. Let c be i(-1). Solve 4*b + 24 = 2*h + 18, 9*b = 2*h - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5775 and -5?\nAnswer: 28875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3162, 3616, 4372, 5430, 6790, 8452?\n\"Answer: 151*r**2 + r + 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/3 + 34*t**3\/3 - 263*t**2\/3 + 230*t\/3 = 0. Calculate t.\nAnswer: 0, 1, 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, -20807, -2 in increasing order.\nAnswer: -20807, -22, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 33396*x + 92941068.\nAnswer: 3*(x - 5566)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 11. Sort 5, 2\/5, u.\nAnswer: u, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 301*v + 82. Let s(o) = -201*o - 51. Let q(l) = 5*m(l) + 8*s(l). Let f(c) = 2*c**2. Calculate q(f(p)).\nAnswer: -206*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 2 - 109*p**2 + 111*p**2.\nAnswer: 2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182 and 4?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 936.9035 milliseconds?\nAnswer: 0.9369035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248987918.\nAnswer: 2, 281, 443039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3554*p + 46379. Determine m(13).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3412 = 5*k - 107451, -9*z = 2*k - 41605. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241758.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/4))\/(t\/(t\/t**0*t))*((t\/t**(-6))\/t*t)\/t*t**(-7)\/t*(t**(-2\/5))**13*t**6\/t**5 assuming t is positive.\nAnswer: t**(-89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/1*-1*4\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33858431209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 - -2.7. Put -7, -2\/9, n in descending order.\nAnswer: n, -2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 734.91 - 740. Let s = d + 0.09. Suppose 9*o - 4*o = u - 4, 4*o - u = -3. Which is the nearest to o? (a) -1\/2 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -5 (c) 13 (d) 278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/152)\/(1\/26))\/((-1)\/16).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1186150 and 39\/189784.\nAnswer: 4744600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + 411. What are the prime factors of w?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 138\/(-33) - 2\/(-11). List the prime factors of (18\/(-4))\/(2\/y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178279 (base 13) in base 16?\nAnswer: 8fdb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 2*a - 1. Let x be t(1). Let s(l) = -l**3 + 3*l**2 + 3*l + 3. Does 9 divide s(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0204 - 0.1204. What is the nearest to -2 in -2, -21, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 12*r**2 - 5*r**3 + 0*r**4 + 2*r**4 - 2 - 10*r**2 + 5 to the form y*r**3 + f*r**4 + c + w*r**2 + k*r and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35669, 71342, 107013, 142682?\n\"Answer: -q**2 + 35676*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:55 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-216)\/(-22) + (-40)\/(-220). Differentiate 18*p + p**2 + 2*p - 14*p - s*p**2 - 2*p - 183 with respect to p.\nAnswer: -18*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u + 9. Suppose 3*o + 2*c + c = 0, 4*o = u*c. Suppose -3*y = -o - 18. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 2*b**3 - 5*b**3 + b**3 - 3*b**3 + 0*b**3 + (-1 + 1 - 2)*(-15*b**2 + 15*b**2 - 4*b**3) + 13*b**3 + 15*b**3 + 52*b**3.\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 274 = -l + 541, 3*l - 2485 = -v. Calculate the remainder when l is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2041 - 2009. Which is smaller: 197\/6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 15 = 3*x - 4, -4*x - 15 = 5*c. Is 2\/(c\/((-329)\/(-2))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmgs when four letters picked without replacement from tststgtsssttmssgtm?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111163.\nAnswer: 13, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10067888.3 and -6.\nAnswer: -60407329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3389 + 3410. What is the remainder when 37 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 2*h + 9 - 42 - 2 + 26 + h**2 - 187*h**4 wrt h.\nAnswer: -2244*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 42.2?\nAnswer: -55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (2 + -1)*35. Let u = -21 + f. Let d(g) = -g**2 - 14*g - 5. What is the remainder when d(-7) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + -3.8. Which is the second biggest value? (a) 0.5 (b) 3 (c) s (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 670636 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 12. Does 16 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -263b949?\nAnswer: 263b960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/3 + 82762*b\/3 - 27588 = 0.\nAnswer: -41382, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/24 + 4*l**2. Give x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 2440122122?\nAnswer: -2440122132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 505357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123854.91 hours to days.\nAnswer: 5160.62125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2365717 is divided by 758?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.09 (c) 0 (d) 2\/11 (e) 933 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 2*q = 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*r = -21, -225*r - 10 = q - 227*r. Which is the second biggest value? (a) -4 (b) -0.04 (c) 1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -3\/8*o**4 + 0*o + 23 - 3*o**2 + 0*o**3. Let i(z) = -17*z. Calculate j(i(v)).\nAnswer: 153*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 22*a - 23*a = -11089, -2769 = -r + 3*a. What are the prime factors of r?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 115 (b) -5\/2 (c) 2 (d) 1\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 14*r**3 - 7 - 5*r**3 + (-2*r + 3*r - 3*r)*(-4*r**2 + 0*r**2 + 2*r**2) - 3*r**3 + 2 - 2.\nAnswer: 10*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (393\/(-9))\/(2\/4). Let l = 88 + r. Suppose 4*c + 4*n - 4 = 0, c - 3*c - 26 = -5*n. What is the nearest to 1\/2 in l, -5\/2, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*n + 50 = -30, -3*n - 12 = 0. Let j(i) = -i**3 - 4*i**2 - 4*i - 1. Let w be j(-3). Solve -2*z + u = w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 185 = -3*c - 2*c, -111 = -3*c + q. Calculate the remainder when c is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000408923 to 5 dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1072*u = -0*t + 5*t - 4624 + 9944, 3*t - u = 19 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 3460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 9. Let v be x(-7). Let q = v - 1. Let t be ((-3)\/((-3)\/(-5)))\/(-1). Which is the smallest value? (a) t (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose 4*j - 8*j = 0. Suppose 3*k - k - 24 = -4*u, j = 4*k + 5*u - 33. Solve 3*t + 12 = 4*c, p*c = 5*t + 7 + k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15499 and 559?\nAnswer: 14940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/7 + 605322*z**2\/7 - 91604286240*z\/7 + 183206151200\/7.\nAnswer: -(z - 302660)**2*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110, -140, -170, -200, -230?\n\"Answer: -30*o - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*1*(sqrt(700) + 3)*1 + -3)**2.\nAnswer: 1600*sqrt(7) + 17756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 67*s**2 + 161806*s + 2405. Determine z(-2415).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292025837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32611\/5544 - -5\/693. Let s be 0\/((0 - 2)\/(-2)). Calculate the common denominator of y and s + 242\/(-12) + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1709 + -1897.4. Let l = 188 + h. Sort -0.1, -17, l in decreasing order.\nAnswer: -0.1, l, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33828344 to the nearest integer?\nAnswer: 5816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 3:34 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose 4*f = -v - 3*v - 168, 70 = -y*f + 5*v. Let i = -20 - f. What is the least common multiple of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 4}. What is prob of picking 2 n and 1 p?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66546*l**2 - 75148*l**2 - 4 - 1617*l**3 + 73*l**3 + 4 wrt l?\nAnswer: -9264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(4752)*-2*2)\/(1*sqrt(147)*2 - sqrt(147)))**2.\nAnswer: 192*sqrt(11)\/7 + 25540\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3 + 3)*(360*d + 242*d - 137*d).\nAnswer: -930*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 1. Let n(y) = y**3 - 5*y**2 + y + 15. Let h be n(4). Let m be (1 + 0)*9\/h. Suppose -m*f - 2*f - 10 = 4*o, -19 = 3*f + 5*o. Determine g(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 16*t**2 - 995*t + 960*t + 1 to l*t + p + b*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*-2 - -3. Let r(f) be the first derivative of -1\/2*f + z*f**3 + 1\/4*f**2 + 2. Factor r(m).\nAnswer: (m + 1)*(2*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281462551.\nAnswer: 2411, 116741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/120 + z**5\/20 + z**4\/6 - z**3\/2 + 2*z**2. Is s(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - 1 - ((29 - 40) + 18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 70*d**3 - 15*d**2 - 200*d + 140.\nAnswer: 5*(d - 1)**2*(d + 2)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.514 - -0.314. Let l = -26.8 - j. Put 0.11, l, 7 in decreasing order.\nAnswer: 7, l, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 9, w: 6}. What is prob of sequence vq?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 2*a + 3*d - 5*d, -3*a + 5*d = -321. Suppose -97*k - 150 = -a*k. What is the remainder when 329 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145220*v + 81 = -145193*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5.5 (b) -1\/7 (c) -26 (d) 0.4 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*c + 25*a - 138, 14 - 34 = -4*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 593\nAnswer: -4\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80\/3 + -323\/12. Let d be (-1)\/(4\/3) - 0. Which is the closest to u? (a) d (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, v: 10}. What is prob of picking 1 v and 2 r?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337 - -342. Solve j + 5*m = 5*j + 8, r*j - 31 = -4*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3164, 1\/3, 0.136 in descending order.\nAnswer: 3164, 1\/3, 0.136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 730355534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.063858ug in nanograms?\nAnswer: 6063.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**11)))\/z)\/z*z**11*z*z*(z*(z*(z*z\/z**(1\/6))\/z*z)\/z)**(1\/11) assuming z is positive.\nAnswer: z**(1535\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/((-2)\/(-9)). Let c(k) = -k**2 - k. Let x(p) = 23*p**2 - 11*p + 25. Let i(g) = s*c(g) + x(g). Is i(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/682092 and 37\/2387322?\nAnswer: 4774644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3134 = 60*a - 1066. Calculate the greatest common factor of 10990 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.86*-0.19\nAnswer: 0.1634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474883744 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10287 or 10289?\nAnswer: 10289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22924 - -23288. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 + 5*f - 9. Let i be -66*(8\/(-12) + -1). What is the lowest common multiple of (i\/25)\/(2\/5) and g(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q, -4*n - 10 = -8*n + 2*q. Put -1, 2, n in decreasing order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 3. Determine q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 6*w)*(2 + 0 - 1 - 4*w).\nAnswer: 20*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-132) - (-1)\/(-3)*-13. Let m(h) = -1. Let z(k) = k + 6. Calculate u*m(n) + z(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z + 172*z - 81*z - 2*z**3 + 4*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 6*l**2 + 0*l**2 + (133 - 68 - 63 - 22*l)*(-2*l - 2*l + 3*l) as h + v*l**2 + f*l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 17 = -2*j - 5, -5*i + 36 = 4*j. Let b = j - 7. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43882.\nAnswer: 2, 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8\/49 (b) -10 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 0.37?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = -23.515524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 20 = -2*j - 11*v + 9*v, -v + 3*v = -10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3113*f + 4 = -3115*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*w - 102*w - 159*w = 716 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/5 + 14*q + 69\/5 = 0. What is q?\nAnswer: -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4173*m + 110303 = -165115 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 17*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44166 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9225, 36790, 82727, 147030, 229693?\n\"Answer: -a**3 + 9192*a**2 - 4*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*11\/((-33)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -308 + 323. Suppose -3*n = -3*o - 6, 2*n = -n - 3*o + 6. Let l be -2 - 1*(n + -8). Solve 5*h - 16 = -l*x + 4*h, m*x - 20 = 4*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680127198?\nAnswer: 2, 3, 29, 857, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 760.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 411.\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**9\/151200 - w**8\/16800 - w**7\/6300 - w**5\/60 + w**4\/2 + 3*w**2. Let s(o) be the third derivative of y(o). Factor s(k).\nAnswer: -2*k*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 440.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -563.53 + 566. Let q = v + -1. What is q rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38829, 78626, 118423, 158220, 198017, 237814?\n\"Answer: 39797*r - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284.21 - -284.11. Which is the second biggest value? (a) -4 (b) 45 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5855 - 5855.3123. Let t = i - -0.0123. Which is the fourth biggest value? (a) -1\/12 (b) t (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**2 - 13*s**2 - 3*s + 4*s - 10*s**2 as r + w*s**2 + y*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j + 9. Calculate t(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t - 106*t + 2*l + 10 = 0, 5*t = 5*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*o - 7*o**2 + 38*o)*(-3 + 2 + 2)*(-2 - 1 + 6).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4863211*c. Let n(r) = r. Calculate v(n(m)).\nAnswer: -4863211*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.46 - 3.46. What is the smallest value in 2, s, 0.2, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909861295.\nAnswer: 5, 7, 43, 604559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 95, 2\/13, 2, -1, -5, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103, 197, 285, 367?\n\"Answer: -3*z**2 + 103*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 7*n**2 - 3*n + 7. Let g be m(6). Let f = g - 15. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27.4, 5, -11, 0.5, -0.3 in ascending order.\nAnswer: -27.4, -11, -0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -11*r**5\/15 + 6*r**3 - 11*r**2\/2 + r - 62. Let i(u) be the second derivative of v(u). Differentiate i(w) wrt w.\nAnswer: -88*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9\/2. Suppose l = -1, 4*j - l + 16 = 3*l. Let q = j + 2. Which is the third biggest value? (a) s (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((62 - -28) + -182)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 15, 23, 35, 51, 71?\n\"Answer: 2*h**2 - 2*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 15\/2*d**2 + 0*d + 31. Let m(b) = b - 1. Let j(z) = 1. Let t(w) = 2*j(w) + 2*m(w). Calculate u(t(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14605351.\nAnswer: 14605351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = p - 8. Let k be ((-15)\/21 - 1)\/(p\/28). Let c = 42 - k. Calculate the remainder when 70 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**3 + 20*g**2 + 79677*g - 79677*g = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3))\/k)\/(k\/(k\/k**8*k)))**50 assuming k is positive.\nAnswer: k**(-500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-490)\/(-25) + -8 + -12)*1\/3. Let k = 0.06 + 4.94. What is the closest to 0.2 in -12\/19, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**4\/12 - g**3\/3 - 13*g**2. Let c be t(1). Solve c*z = 4*s + 5*z - 45, z = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2 - m)*(4 - 4 + 3*m).\nAnswer: -3*m**2 + 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 32993222.\nAnswer: 9897966.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -190.956476+820\nAnswer: 629.043524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.1 (c) 1\/7 (d) 8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcqxb. What is prob of sequence bqxq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 5*u - 5. Let j be a(-4). Solve 2*s + 1 - j = 2*p, -3*s - 3*p = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 4*x - 3. Let c = 12288 - 12269. Calculate the remainder when c is divided by s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1. Let t(p) = -6*p + 21. Let y(b) = t(b) - 2*w(b). List the prime factors of y(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 14*s - 11. Let l be n(13). Is (l - -1)\/(0 + (-6)\/(-546)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/39 or 1291?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y - 7. Let l be t(8). Let p = l - -134. Let b = p - 45. Solve 0*c = c - 2*u - 14, 2*u + b = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20320 * 0.013\nAnswer: -264.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27604.2 * -2.01\nAnswer: 55484.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p + 3*v + 5 = 0, -p + 2*v - 1 = 0. Let u be 4*p\/(-8)*2. Let t be 4\/4 + u + -2. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (20 - -1) + -3 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318059637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 5*m**2 - 2*m - 6. Let p be b(4). What is the first derivative of -129*g**2 + 29 + 129*g**p + 20*g**3 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w - 11. Let v(d) = -5*d - 6. Let x(g) = g**3 - 18*g**2 + 2*g - 8. Let i be x(18). Suppose -t = 3*t + i. Give t*v(l) + 4*j(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26451331, -26451283, -26451233, -26451181?\n\"Answer: x**2 + 45*x - 26451377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14885 - 14885 - 1242*k + 1239*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(1 + -2*((sqrt(19) - (sqrt(19) - (1 + sqrt(19)))) + sqrt(19)) + (sqrt(19) + 3)*2 + -2))**2*-5.\nAnswer: -244800 + 34560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -238 + 6?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkttrrkkkbtbk. Give prob of sequence krtb.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665970.1 + -1461?\nAnswer: 664509.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6211 = 5*r, -20*c + 3741 = -3*r - 23*c. Let g = -86 - r. What are the prime factors of g?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1152\/(-320)*(-5)\/114*2\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 355 = -j, 2*w = 3*j + 187 - 28. Suppose 9*b = 3*b + w. Suppose -11*a + 8*a - b = 0. Put -3, a, -5 in increasing order.\nAnswer: -5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 588*h - 1186. Determine s(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802687 = -10133*t + 555135 for t.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**2 - 4. Let c(l) = 2*l**2 - l + 1. Give -6*c(m) - r(m).\nAnswer: -m**2 + 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)*k)**(-22))**14 assuming k is positive.\nAnswer: k**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18*(-297)\/(-252). Let f = d - 2\/21. Let z = 0 + -5. What is the second biggest value in f, z, 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 - 1625\/8. Let f be (-11)\/10 + 5\/5. Which is the closest to -1? (a) f (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/853 (b) -40\/11 (c) 2\/9 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:06 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 5*r + 5. Let w(s) = 2*s**2 - 4*s + 4. Let v(q) = -4*l(q) + 5*w(q). Let h(i) = -8241 - 21*i**2 + 16471 - 8231. Determine v(h(u)).\nAnswer: -882*u**4 - 84*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 0*t**3 - t**2 + 3*t - 11 - 4*t**2. Let a be (5 - (-7)\/(-7)) + -11. List the prime factors of v(a).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, c: 4}. What is prob of sequence cfcf?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 3*q - 8*q - q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 508*x**3 - 6*x**2 + 14*x + 28. Let o be a(-6). Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t. Let v be y(2). Let r be 8 - (4 + -18 + 18). Is r != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhy when three letters picked without replacement from vdyyuyhayuyyyvhhu?\nAnswer: 21\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + (-104)\/(-210)*-3. Suppose -2*g + 4 = -4*g. Is g equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832.7949 milliseconds to seconds.\nAnswer: 0.8327949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*a + 12, 0 = -69*c + 66*c - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 9*a + 2*a)*(-101*a**3 - 57*a**3 + 233*a**3) in the form s*a + c*a**4 + z*a**3 + d + p*a**2 and give c.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5572, 12604, 24320, 40714, 61780?\nAnswer: 87512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612565*y - 69030 = 614099*y for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-30)*(-15)\/20*256\/96?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t**2 - 16*t + 58. What is the tens digit of y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(((d**(3\/5)\/d)\/d)\/d*d)*d*d*d**(-4))\/(d**(-2))**(2\/37) assuming d is positive.\nAnswer: d**(464\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 0*a - 5*a - 8 + 4*a + 3. Let y = 3 - 8. Let b be x(y). Is -1 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 132728. Let r(o) = o**2. Determine q(r(c)).\nAnswer: -c**2 - 132728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, p: 5, n: 3}. Give prob of sequence pdp.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206 - -178. What is the nearest to g in 3, 2\/145, 0.3?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/30 - 409*q**5\/20 + 5*q**4\/3 + 29*q**3\/3 + 5710*q**2 - q - 2. Find the second derivative of s(a) wrt a.\nAnswer: 24*a - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 7, -4, -6 in descending order.\nAnswer: 9, 7, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 + 171*u**3 + 594*u**2 - 100320*u - 201600 = 0. What is u?\nAnswer: -21, -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19852, -19221, -18590, -17959?\n\"Answer: 631*j - 20483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 141*m - 582. What is z(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -14, -38, -80, -146?\n\"Answer: -n**3 - 5*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r + 5 + r**2 - 7*r + 2*r**4 - r + r in the form q*r**3 + z*r**4 + s*r + c + g*r**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1927 - -17345\/9. Let y = -0.05 + -1.95. Which is the smallest value? (a) t (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -9*k - 6. Let y be (k\/(-4))\/((25\/(-5))\/50). Suppose 5*d - 94 = -m - 0*m, -y*d = 2*m - 193. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**4*b*((b**(14\/3)\/b)\/b)\/b)**(-12\/11))**(-24) assuming b is positive.\nAnswer: b**(2496\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/1)\/((-5)\/((-50)\/(-15))). Suppose -769 = -5*t - 264. Let g = y + t. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/5*(168\/4116)\/(9\/42)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-15) - (-49 - -51). What is the third smallest value in -0.2, b, 1217\/6?\nAnswer: 1217\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - -1) - ((10 - -1) + (31 - 43))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6792762*a*i**2 - 9644*a*i + 40*a - i + 3 wrt i.\nAnswer: -13585524*a","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/731 and -28\/244205.\nAnswer: 10500815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6174*i - 298*i + 5.\nAnswer: -6472*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 103282727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2) + -1 + -5 - (sqrt(2) - -1*sqrt(2)*6)))**2 + (((3*sqrt(120) - sqrt(120))\/sqrt(6) - sqrt(20))\/(sqrt(810)*-1))**2.\nAnswer: 648*sqrt(2) + 78734\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Let f(c) = c**3 - 4*c**2 - 2*c + 1. Let n be f(4). Put t, 1, n in descending order.\nAnswer: t, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3047 + -3047. Let x(w) be the third derivative of w**4\/24 + 1250000*w**3 - w**2. Let z be x(o). Round z to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 7*t + 14. Let n be g(-6). Solve -4*o + 2*o - 2*v = 10, 5*o + n = -4*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 8. Let u be g(3). Suppose 0 = -0*x - u*x - 34. Let t = 18 - x. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -42 (c) 3\/11 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7902 by 878.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 29 - 97 = -a, 5*a - 20 = 0. Let p = -14 + i. Find the third derivative of -z**p + 0*z**6 - 3*z**2 + 3*z**6 - 3*z**2 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**3\/3 - 6*m**2 - 27*m - 41. Let g be q(-8). Solve -4 = g*f + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34731131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*t**2 - 2376\/5 + 168\/5*t.\nAnswer: -2*(t - 66)*(t - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*k - 8, -4*k + 0 + 31 = 5*q. Suppose -6*v + q*v + 2*t - 6 = 0, -v - 3*t = 13. Let c = 6 - v. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -759?\nAnswer: 106.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -30, 1, 149\/20, 5?\nAnswer: 149\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:23 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -20587607?\nAnswer: 823504.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 24\/(-9)*9\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from wkhrhkhwh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -310 + 314. Suppose -30 = -5*q - 3*h, -36 = -l*q + 2*h + 10. Solve 15 = 5*y, -4*y = 4*w - y - q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2155 (base 11) in base 3?\nAnswer: -10220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15 + 170\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -279 and -39.\nAnswer: 10881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -736*h + 1738*h + 58 - 996*h. What is m(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.3, -0.02, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k*k**(-15))\/(k**(2\/21))**(-11))**(-18) assuming k is positive.\nAnswer: k**(1884\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 248*u. Let y(h) = -8*h - 3. Let b(z) = 5*z + 2. Let i(f) = -6*b(f) - 4*y(f). What is p(i(a))?\nAnswer: 496*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -40. Let d = 5 - 3. What is the remainder when p is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274 - g + 266 - 3*g**5 + 20*g**2 - 2*g + 2*g**5 wrt g?\nAnswer: -20*g**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-62)\/(-8) - 2\/(-8). Let u = b - 6. Calculate the smallest common multiple of u and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -325? (a) -1030 (b) 22\/23 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 265, 2, -12, 15\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3838*x - 11531. Calculate n(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 28 = 9*v - 4*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23532 is divided by 7842.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i**2 - 156*i**2 + 89*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24745829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1802 - -1839. What is the remainder when 134 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -z - 40. Solve 0 = -4*g - r + 15, 2*r = 2*g - z*g + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356 + -54. Suppose -y - n = -1684. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - y - 795 + 829 = 0, 3*y - 12 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srgmgqq. What is prob of sequence rs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184.907 - -185. Let v = 5.093 - k. What is the closest to -1\/3 in -0.3, v, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4552 is divided by 939.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001101 + 101?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*m + x + 58, -4*m + 36 = -x. Calculate the least common multiple of m and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468) + sqrt(2548)*1 + 2)**2*6.\nAnswer: 480*sqrt(13) + 31224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4318464 + 0?\nAnswer: 4318464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44332331 + 3?\nAnswer: -44332323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 l, and 1 z when four letters picked without replacement from {z: 3, l: 4, h: 3, n: 5, s: 1, m: 1}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/16*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {l: 2, u: 5, w: 1, x: 1, e: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + -5*-2*sqrt(637)*6*-1)**2*4.\nAnswer: -67200*sqrt(13) + 45864320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 43 = -358. Suppose 10 = -w + z. Find the second derivative of -4 + 8 + 32*v - w*v**3 - 4 wrt v.\nAnswer: -210*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 8}. Give prob of sequence nnk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/385)\/((-4)\/(-300)))\/(30\/70).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65*j**2 - 4251*j + 4251*j)*(-18*j - 66 + 29 + 36) to d*j**3 + t + f*j**2 + u*j and give f.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/3))**31\/(w**(-1\/4)*w\/(w**6\/w)) assuming w is positive.\nAnswer: w**(671\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 12*w + 9. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 - 5*x - 3. Let k be b(-3). Let o = k - -50. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 61570 = 4*u, -6*g + 8*g = 5*u + 20516. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)\/(980\/110 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1232 and 15699420?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209 + 208.8. What is the third biggest value in 2, -0.02, y, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) - (-2958)\/5. Suppose 6045*x = 5995*x + 800. What is the greatest common factor of x and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 0*t - t - 3 - t. Let k be q(-3). Let h(y) = y**3 + 27*y**2 + 29*y + 2. Let a be h(-1). Sort 3, a, k in descending order.\nAnswer: 3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.33 - -0.03. Let m = 0.23 + -0.23. What is the third smallest value in c, -2\/19, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1751 + 2470. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 + 7*g**3\/6 + 5*g**2\/2 + 2*g. Let l be p(7). Suppose 17 = l*d + 2. Solve j + 0*k = -k + 8, -d*j = k - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (341 + 1 - -3). Suppose -3*v + j = 75. Calculate the highest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11228569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 503*u - 1138*u + 651*u. Let o(a) = 51*a - 6. What is i(o(s))?\nAnswer: 816*s - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01994 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1947482 = 3*w + r, r + 3245814 = -8*w + 13*w. Let u be w*179 - (-6)\/3. What is u rounded to the nearest one million?\nAnswer: 116000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56714 is divided by 535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4019477?\nAnswer: 7, 11, 52201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-72)\/(-10) - 6)*(-10)\/(-4). Let z be (-1)\/m + ((-80)\/(-6) - 4). Suppose -z*n + 852 = 3*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 213 + 6*y - 196 + y**2 + 0*y. Calculate the least common multiple of 5 and k(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + t + 1. Let r(b) = -2*b**2 - 2*b - 9. Suppose -3*s - 3 = -2*x - 2*s, x + 3*s = -16. Let f(p) = x*r(p) - 4*a(p). Is f(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1190 divided by 2\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 22. Let w be 0\/1*1\/2. Let t = -140 - -205. Calculate the remainder when t is divided by p(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s + 5*s - 17*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {y: 7, u: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10265*f - 14321*f - 20382*f.\nAnswer: -44968*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + -4*(sqrt(13) + 1 - sqrt(13)) + 3 + (sqrt(13) + -2 - sqrt(13)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 2, t: 3, q: 1}. Give prob of sequence tabq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -45*m - 6. Suppose 3*w = -4*w - 56. Let y(q) = -30*q - 4. Let c(h) = w*y(h) + 5*t(h). What are the prime factors of c(3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 160479129\nAnswer: -641916516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*d - 70 + 126 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + 1840000 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(-1)*k)\/k*k*(k*k**(3\/5))\/k)\/(k**(2\/9))**(-1\/7))**43 assuming k is positive.\nAnswer: k**(35647\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4755 = 4*r - 188*r - 133*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 22 = 16*m. Suppose -3*b - 105 - 9 = -m*l, 0 = 3*l - 3*b - 177. Let v = 71 - l. What is the third smallest value in 0.3, 4\/3, v, -2\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12083985601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215*n**2 - n - 4402.\nAnswer: 430*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14\/21*1*-2*(-257)\/((-15677)\/3294)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (-80256)\/2679)*2\/4?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 8*r + 14. Let m be a(4). Let x(f) = 5*f - 7. Let u(l) = 3*l - 4. Let b(v) = 7*u(v) - 4*x(v). Let n be b(-2). Is n bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 55.0487.\nAnswer: 55.0487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*r + 233*r = 37*s + 99, 5*r - 5*s = 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2273 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.17, 0.05, -41, -4\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -93. Let w(k) = -k - 6. Give w(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351669 is divided by 3739.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = i + 9*i. Let t = -63 + i. Let f(k) = k**2 + 6*k**2 - 6*k**t + 1 - 7*k. Calculate f(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*g + 5*g = 0, g = 2*j. Suppose j*i = -4*d + 2*i - 2124, 3*d = i - 1595. Is -533 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10021101122 (base 3) to base 4\nAnswer: 33232313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udh when three letters picked without replacement from {d: 1, u: 2, h: 1, b: 1, y: 1, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 - z**2. Give t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (9450\/72)\/21) + (-18)\/(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1333*l - 1 + 1 + 1009*l. Let r(k) = 1. Let f(a) = 13*a - 52. Let g(i) = f(i) + 52*r(i). Determine -99*g(c) - 4*x(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*t**4 - 30935*t**3 + 1069366*t**2?\nAnswer: -624*t - 185610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s + 82. Let o be y(-8). Solve -o*j = -10*j + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5514975 and 0.1.\nAnswer: -551497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5971.56 rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14892301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 1740 = 2720. Calculate the least common multiple of t and 77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -27. Which is the nearest to 2\/7? (a) -1\/4 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 42856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -7.6, 1\/3, 0, -0.5, -2\/33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5 + ((-1 + sqrt(147) + sqrt(147) + sqrt(147))*-5 - (-2*(sqrt(147) - (sqrt(147) + 2)) + sqrt(147))))*1)**2.\nAnswer: 896*sqrt(3) + 37648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*4\/(-9). Let w = -26271 + 26271.2. Which is the third biggest value? (a) 0 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 101*x**4 - 9*x**3 + 93*x**2 + 9. Let p(y) = 25*y**4 - 2*y**3 + 23*y**2 + 2. Let n(l) = -9*p(l) + 2*r(l). What is the third derivative of n(d) wrt d?\nAnswer: -552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5086 + -10.7976.\nAnswer: -5096.7976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 1138286*w\/11 - 13659720\/11.\nAnswer: 2*(w - 12)*(w + 569155)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -19, -24, -29, -34?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -33*c - 82. Let p be i(-2). Suppose -2*b - 27 = -5*b. Let m = p - b. Which is smaller: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 204 = 3*m. Let o(r) = -8*r - 7. Calculate the remainder when o(-8) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 44?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = k - z, 0 = 5*k + 3*z + 6. Put 2\/13, 5, k in decreasing order.\nAnswer: 5, 2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ktkktk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3544925 to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343463.\nAnswer: 19, 18077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2008, 2448, 3174, 4180, 5460?\nAnswer: 7008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4 = 2*b - 4*r, b - 4*r = -6. Let i = -2 + b. Let h = 11 + i. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let y(v) = -53*v - 7*v - v. What is o(y(a))?\nAnswer: -61*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -39*a + 2. Let u be o(-3). Suppose 0 = -250*z + 249*z + 3, 5*b + 7*z - 956 = 0. Calculate the greatest common factor of b and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 0*x = 5*x + 74 + 1, 2267*w = 2265*w + 3*x + 29 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129121, -129114, -129107, -129100, -129093, -129086?\nAnswer: -129079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**5\/20 - n**4\/6 - n + 1. Let w(p) be the first derivative of t(p). What is the third derivative of w(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 2*p + 42 + 52 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 843069485 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-18) + 10\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 32 = -194. Let a = 82 - c. Suppose 5*q - a = q. What is the remainder when 26 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -34*u. Let m(y) = -28*y**2 + 1. Calculate m(z(d)).\nAnswer: -32368*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 8, 32, 76, 146?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(76) + sqrt(76))*3*1)\/(sqrt(32)\/(sqrt(16)\/sqrt(2)*-5 - sqrt(8))).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97009 or -96998?\nAnswer: -96998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l - 4. Let r(k) = -k**3 - 9*k**2 + 18*k + 218. Let h be r(-6). Calculate y(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = -3*v, -1 = -2*v + y + 4*y. Let p(u) = -2*u - 1. Let k(s) = s. Calculate v*p(f) - 6*k(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-3)\/(-2)) + -4. Let h(r) = -2*r**3 - 3*r**2 + 3*r - 1. Let c(y) = -2*y**3 + 4*y**2 - 4*y + 2. Let b(v) = 3*c(v) + 4*h(v). Does 38 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0*j**2 + 1 + 13\/6*j**3 - 67*j. Let v(c) = 18*c**2. Determine l(v(y)).\nAnswer: 234*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, d: 1, i: 1, z: 3, t: 5}. Give prob of sequence tzd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -0.3\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1441 - 1289 = 76*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, o: 2}. What is prob of sequence aaoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 2, f: 3, u: 3, a: 5}. What is prob of sequence fauu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/47, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2755 + -477?\nAnswer: -3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2357.\nAnswer: -5\/2357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 31 = x, -3*s + 81 = x + 2*x. Let l = x + 1. Suppose -l*c - 2 = -30*c. Solve -5*m - 3*r + 8 = -0, -c*r - 2 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16704, 16695, 16680, 16659, 16632, 16599?\nAnswer: 16560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5422, 5425, 5430, 5437, 5446, 5457?\n\"Answer: d**2 + 5421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.11, 103?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f**9*f*f))\/f**8)**(-2\/33))**18 assuming f is positive.\nAnswer: f**(204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2581171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17918\/3 greater than or equal to 5974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686 = 71*u - 19*u - 510. Calculate the remainder when 500 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, e: 2, g: 6, l: 1}. What is prob of sequence ggq?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p + 80. Let c(a) = 5. Let g(z) = -48*c(z) + 3*n(z). Let u(k) = 0*k + 0*k + k. Give g(u(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2139 and 1116?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 17. Let a = 4.9 + -0.9. Suppose r - 2*r - 2 = 0. What is the closest to b in r, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let g = 0.404 + 0.096. Which is the nearest to z? (a) 4 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7346 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in -0.4, 0.3, -2\/9, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 10341?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -28 - 52. Let r = -20 + -100. Is (u\/(-8) - 3)*r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -188 + 344. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 23*g - 64. Let x(r) = -7*r + 9. Let f(s) = 2*m(s) + 15*x(s). Let i(a) = -29*a + 4. Give 4*f(b) - 7*i(b).\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9051348.\nAnswer: 2, 3, 754279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20748.\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484385?\nAnswer: 5, 11, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 12 = 0. Suppose -p - 5 = -9*b. Let a(t) = t**2 + 6*t + 3. Let u be a(-6). Calculate the greatest common factor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jegg when four letters picked without replacement from {m: 1, j: 3, e: 1, y: 3, g: 6}?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**5\/5 + 5150*n**2 + 557*n + 4598. What is the first derivative of b(h) wrt h?\nAnswer: 4*h**3 + 10300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 375*b. Let f(a) = -11*a. What is f(c(h))?\nAnswer: -4125*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 230002951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 60.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2946 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22385, 22386, 22387, 22388, 22389, 22390?\nAnswer: 22391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8992.53 rounded to the nearest 100?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*b**3 + 77*b**2 - 21*b**2 + 76*b**2 wrt b.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -9, 1\/3, 0.4, -0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.1. Let n = 134 - 132. Which is the closest to j? (a) -0.2 (b) 9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcrc when four letters picked without replacement from {r: 7, p: 1, c: 2, i: 1, l: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/87)\/r)\/r**(1\/4)*r**(-1\/3)\/((r**(2\/41)\/r)\/r) assuming r is positive.\nAnswer: r**(1859\/4756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-2)\/(-3))\/(10\/3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (-4 + (sqrt(243) + -5)*-3)**2 + -4).\nAnswer: -3564*sqrt(3) + 13842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -108*z**3 - 1296*z**2 - 9. Determine d(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77110 is divided by 393?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -378 in -3, 4.2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + (-5 - (-581)\/21). Let t(f) = 3*f**2 + 7*f + 6. Let h be t(-4). Let k = u - h. Let s(y) = 2*y + 4. Give s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4494510 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888287 is divided by 208.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*g**3 + 2 - 2*g**4 + 772*g**2 - 774*g**2 in the form u + k*g**2 + f*g**4 + r*g**3 + p*g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23.373, 4, -2\/7?\nAnswer: 23.373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -317 - -831?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 - -111156?\nAnswer: 110565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 368*r**2 - 3788*r - 4160 = 0. Calculate r.\nAnswer: -1, 13, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27210356 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/14 and -23\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*v - 72*v**2 + 36*v**2 + 34*v**2)*(-2 + 2 - 2*v)*(6*v + v + v).\nAnswer: 32*v**4 - 560*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**3 + 23*a**2 + 86*a - 215. Is m(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 53 = 18*f - 26*f + 11*f, 4*f + 63 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73900711 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-2 + -31 + (-690)\/(-42))?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(416))\/(sqrt(12)\/sqrt(24)))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(0\/3 + -1 + -1). Let h be (a - (-5122)\/8)*-8. What is h rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35637 divided by -26\nAnswer: -35637\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-8\/7))\/((w*w\/w**(1\/2)*w*w)\/w) assuming w is positive.\nAnswer: w**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-5) - (-2)\/5. Let v be (-3 - (-1 - 2))*1. Solve 3*h = -3, -l*f + 7 = 5*h - v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 6*a + 7. Let x be s(-5). Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17665960?\nAnswer: 2, 5, 13, 53, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -111010010111 (base 2) to base 8\nAnswer: -7227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrynmmmyrpyrp. What is prob of picking 1 y, 1 r, and 2 n?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**2. Let t(c) = -56898*c. What is t(f(v))?\nAnswer: 455184*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yym when three letters picked without replacement from yyyyyymyyyyyyyyyyyyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -9)\/(-1 - 1). Calculate the greatest common divisor of h and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w + 0*w**2 + 5*w**2 - 4 - 7*w**2 - 9 + 12*w. Calculate z(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 4. Let u be z(5). Suppose 0 = -2*g + 3*g + u. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/93)\/((-2)\/112*-12)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - k + (0 - 2*k + 0)*(-5 - 1 + 5) + 2*k + 0*k + 0*k)*(7 - 3*k - 2 + 5).\nAnswer: -9*k**2 + 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 16, 74, 198, 412, 740, 1206?\nAnswer: 1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p + 2*p - 6*p - 2*p + 3*p**2. Let q(d) = 9*d**2 - 17*d. Give 6*q(r) - 17*w(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -189*f + 9075. Let b be n(48). Let w be -2*(-1)\/(-5)*-10. Suppose 0 = 3*m + 2*m - 10. Solve b*i = -4*d + w, -m*d + 24 = 3*i - 7*i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10389 is divided by 529?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10830 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2130 divided by -15\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 - -147 - (10 - -57).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/160 and 93\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18719719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(2\/69*-3). Let d be (-6)\/33 + f\/11. Solve -3*r = d*s + 15 + 1, 0 = -3*r + 3*s - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002113321332 + 303?\nAnswer: -1002113321023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -173*a**4\/2 + 219*a + 1877. Find the first derivative of h(d) wrt d.\nAnswer: -1038*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 484*q**2 - 3652704*q + 6891656256 = 0.\nAnswer: 41508\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyo when three letters picked without replacement from ydeqvodq.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1082\/15 + -72. Sort -1, -3, s in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/2 + 207410704*t - 21509600066887808 = 0.\nAnswer: 207410704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248746768*z**2 + 33*z - 3142302.\nAnswer: 497493536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:33 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8 - -0.8. Let f = 1843 + -1842.8. Which is the closest to f? (a) 2 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.92*-2.5.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -29. Let k be a\/6 - 1\/3. What is the first derivative of k*b**3 - 2*b**3 - 1 - 2*b**3 wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(120)*3 - sqrt(120))\/((1*(sqrt(60) - (sqrt(360)\/sqrt(6) - sqrt(60))))\/sqrt(6)) + -2)**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 4}. What is prob of sequence grr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 6*v. Let z = -160\/7 + 23. Which is the nearest to 0.1? (a) v (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*j*m - h**2*j*r - 18*h**2*m**3 + h*j*m**3*r + 3*h*j*m**3 - 11*h*j*m*r + 2*m**3 - 2*m*r wrt h.\nAnswer: -2*j*m - 2*j*r - 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165656 (base 7) to base 2.\nAnswer: 1000000111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 89 + -35 - 19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.655 from -107.18.\nAnswer: -112.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 + (6 - 2) + -26 + -23 + 13 + 48?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 114, 103, 88, 69?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/7430 and 31\/104020?\nAnswer: 104020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p - 4*a = -83*p + 39, -6*a - 48 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m**2 + 21*m - 18. Let d(b) = -23*b**2 + 60*b - 55. Let v(h) = -6*d(h) + 17*z(h). What is the first derivative of v(s) wrt s?\nAnswer: 4*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331 or -322?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1391295 (base 15) to base 2\nAnswer: -110101111001010011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -9 (c) 0.2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1007930 and 47\/201586.\nAnswer: 1007930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*x**3 + 557*x**3 + 463*x**3.\nAnswer: 70*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5014 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/94976 and 29\/88722.\nAnswer: 79494912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 37*n - 1. Let i be o(1). Suppose 4*b - 7*k + 4*k - 84 = 0, -3*b + 2*k + 62 = 0. Let d = b - 9. Calculate the highest common factor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46559, 46557, 46555, 46553, 46551?\n\"Answer: -2*r + 46561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 90\/150 - 1\/5. What is the closest to -27 in -1, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632395664.\nAnswer: 2, 163, 242483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 4*b + 3626812, -1450726 = 2*f - b. Let w = f - -253478. Let v = 428114 - w. What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 115 = 350. Let q = 205 + h. Calculate the highest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -341*c**2*x**4 + 4*c**2*x**2 - c**2*x - 13971*c*x wrt x?\nAnswer: -4092*c**2*x**2 + 8*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*h - h**2 - 114*h + 59*h as c*h**2 + t*h + a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = -5*k + 2*z - 479, 3*z = 3*k + 549. Which is bigger: k or -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (2 + 5))*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -5 - 1)\/((-3)\/(-4)). Let n be ((-6)\/c)\/((-24)\/(-32)). Solve -n*s = 3*a, 0 = 5*a - 2*s - 0*s + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/60 - 5*h**4\/24 - h**3\/3 + 7*h**2. Let i be r(-5). What are the prime factors of i + (26 - (-2)\/1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:54 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143)*4)\/(-1*sqrt(11)*-2) + 1)**2.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 - 4)*(-7 + 2 + 1)*(1 + 0 + 0*f - f)*(0 - f + 0) as o*f + n + y*f**2 and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 1475 - 5*c + 2*c**2 + 6*c - 3*c**2 - 1474 to the form y*c**2 + a + j*c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25139 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 49. Let r be w(-7). Suppose t = -y + 5, r*y = -3*t - 2*y + 16. Solve -3*q = 2*q + i + t, -4*i = q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(30*1\/6))\/((-29)\/5)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -10\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 - 4*h. Suppose -3*a + 18 = -0*a. Let r be p(a). Suppose 2*y - 12 = r. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 1:00 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 + 8 - (-9 - -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1)**11*c**(-1\/7)\/c**(4\/3))**(2\/35))**(1\/9) assuming c is positive.\nAnswer: c**(80\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43612*y**2 + 14511*y**2 + 14531*y**2 + 14571*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose 4*n + i = 14, -n + 4*i = -2*n + 11. Suppose 49 = 5*h - 3*v, -n*h = -8*h - 4*v + 63. Solve h = -2*o + l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-22)\/((-264)\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 4, w: 3, h: 1}. Give prob of sequence gn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64634 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*l**2 - 823*l**2 - 3*l + 406*l**2 + 3*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-5))\/((-4)\/40). Let m = g + -3. Which is smaller: -1\/12 or m?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/450 and 83\/400?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -594*h**3 + 2386*h**3 + 273*h**3 + (-h + 0*h - h)*(3*h**2 + 0*h**2 - h**2) - h**3 - 3 + 3.\nAnswer: 2060*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20155.\nAnswer: 5, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/12 + 205*l**4\/8 + 1190*l**3\/3 - 116*l**2 + 2*l - 5. Factor f(t).\nAnswer: 5*(t + 4)*(t + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550564 and 22738855.\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3916*h**2 - 278038*h - 139. What is p(-71)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7075 divided by 420?\nAnswer: 1415\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s - 29*s + 2 + 66*s - 2.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**10\/50400 + h**6\/144 + h**5\/30 - h**2. Let z(b) be the third derivative of q(b). Differentiate z(t) with respect to t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5016\/48 + (4 - 0) + (-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(0 + -1) + (99045\/(-4615) - (-180)\/6).\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11916573 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179569 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 100*i**2 - 95*i.\nAnswer: -5*i*(i + 1)*(i + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -37617700 to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - -15. Let y = -61 + p. Suppose -y*v - 17 = -52. Solve -3*x + v = -8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24406, 97598, 219580, 390352, 609914, 878266, 1195408?\nAnswer: 1561340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 4*n - 2*n + (2*n + n - 2*n)*(-2 + 0 + 1) + (2*n + 0*n - 5*n)*(1 + 1 + 2))*(-8*n**2 + 8*n**2 + n**4).\nAnswer: -27*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4003 times 138976?\nAnswer: 55632.0928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)*j**(-3\/5) assuming j is positive.\nAnswer: j**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3321 and 633081?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1726491, -1726504, -1726531, -1726578, -1726651, -1726756?\n\"Answer: -q**3 - q**2 - 3*q - 1726486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1516*r = 1509*r + 175. Differentiate r*v + 86 - 7 + 20*v + 180*v**2 - 45*v wrt v.\nAnswer: 360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 207\/(-18) - (-2)\/(-4). Let q = b - -14. What is the nearest to -1\/3 in -0.03, q, 1\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let w(k) be the first derivative of 0 + 3*k**3 - 4*k**3 - 3 + 0*k**s + 6*k**2 - 12*k. Find i such that w(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -297 + 300. Solve h*z + 0*z + 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19227 is divided by 2402?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/123194 and 57\/1160408.\nAnswer: 35972648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 32 = 80 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**18)**30*((y**(5\/6)*y)\/y)**(-4\/7))**(1\/10) assuming y is positive.\nAnswer: y**(1133\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 102. Suppose -295 = -5*d - 25. Calculate the smallest common multiple of d and x.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((108\/15)\/3)\/(1*(-4)\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 7 (b) 6 (c) -877 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -4, -260, 25, -9.\nAnswer: -260, -9, -4, 2, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 23. Let g = -17 + o. Let f(l) = 14*l**2 - l + 1. What is the least common multiple of 2 and f(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -5*n - 22. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18*c = 42. Suppose c*p - 3 = -2*t + 1, -20 = -2*p + 3*t. Solve 2*y + 10 = p*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.1693762*-0.2\nAnswer: -1.63387524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22476741?\nAnswer: 3, 7, 107, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**2\/2 - 13*g - 4. Let j be p(14). Let x(d) = 3*d**2 - 2*d + 2. Let a be x(j). Solve c - a + 4 = -n, -4*n + c = 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 3:40 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5170 - 1822. List the prime factors of y.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516301 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - 6\/(-4) - -2. Suppose -8 - 7 = 5*f - 4*h, 22 = -f - j*h. Which is bigger: f or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = -22. Let b be (t - -2)\/((-2)\/18). Suppose -42 = -4*d + b. Solve 10*f = 5*f - d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14246.9568 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 5961?\nAnswer: -5955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**6\/18 - 3*v**5\/20 - 7*v**4\/36 + v**3\/2 + v**2\/3 + 28*v. Find w, given that p(w) = 0.\nAnswer: -1, -1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785 - 2287*i**2 - 786 + 2287*i**2 - 539*i**3.\nAnswer: -539*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*y = -28, -5*d = -2*y + 22 - 4. Put -4, -6, d, 3 in ascending order.\nAnswer: -6, -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 1 - 1)*(-130*r**2 + 180*r**2 - 8020*r**3 - 49*r**2) as a*r**4 + d*r + n*r**2 + k*r**3 + g and give a.\nAnswer: -16040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44139 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2497 - 2495.963. Round c to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, k: 2, q: 2, r: 11}. What is prob of picking 2 k and 1 q?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, -3\/19, -3, -1\/3, 1?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*l*q**5 - l*q + 111*q**2 wrt q.\nAnswer: -8640*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6926?\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/108417 and -179\/714.\nAnswer: 25803246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155733 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087395 a multiple of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*l = -114*l - 383 + 2708 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 6. Let c be t(6). Let l(m) = m**3 + 8*m**2 - 9*m + 3. Let q be l(-9). Suppose -q*y + y + 190 = c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 31, -4 in decreasing order.\nAnswer: 31, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -33 in increasing order.\nAnswer: -33, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 74792*p + 101344. Let k(i) = -16613*i - 22521. Let v(g) = 7*a(g) + 32*k(g). Find the first derivative of v(f) wrt f.\nAnswer: -8072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*p = 118*p - 13215. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.97 + -2.73. Let t = 1.7 + j. Let s = -9.98 - t. What is s rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 375, 327, 249, 135?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - ((13 - -17) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*n - 1 + 7, 0 = 5*w - n - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -136, -311, -556, -871?\n\"Answer: -35*z**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 123*r - 1074. What is m(6)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*u**3 + 76*u**2 + 1370*u - 308 = 0. Calculate u.\nAnswer: -7, 2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -235640000 to the nearest one million.\nAnswer: -236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -5. Let g = -3 - m. Suppose 3*r - 5 = -5*l - 2*r, 11 = 3*l + r. Which is the smallest value? (a) l (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 6. Let z be f(-4). Suppose 4 = z*l - 2. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.42 and 28.14243?\nAnswer: 28.56243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + 5 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + g + 1. Let c(i) = -8*i**3 + 2*i + 2. Suppose 0 = -4*w + 2*w - 23 + 21. What is w*c(k) + 2*h(k)?\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3448 divide 1428026607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1581 + -943. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 677 + -406. List the prime factors of x.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*d + 16 - 50 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16*p*p\/(p*p*((p**32*p)\/p)\/p*p))\/((p**7\/p)\/((p*p**(9\/5))\/p*p)) assuming p is positive.\nAnswer: p**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j - 1. What are the prime factors of x(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -460 (b) -3\/5 (c) -3 (d) 1 (e) -14.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2813313 is divided by 905.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*w + 5*i, -w - 4*i = 11 + 4. List the prime factors of (-20)\/(-6)*(-9)\/w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(3*r + r - 2*r) + 3*r + 2*r - 7*r + (r + 4*r - 2*r)*(0 + 1 + 1).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 54, 0.2, -1\/2 in increasing order.\nAnswer: -1\/2, 0.2, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 5:48 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuucccxucxcuc. What is prob of picking 1 u, 1 x, and 1 c?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*f = -6*f - 33612, -2*f + 33624 = 4*n. What is n rounded to the nearest 100?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 19*v - 10*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (0 + -6 + -3). Suppose q*g = 3*g - 5*k, -g + k = 0. Factor 0*b + 1\/3*b**2 + g.\nAnswer: b**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3847512 milligrams?\nAnswer: 384751.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -159. Suppose -95*m + 230 = -68 - 842. Calculate the highest common factor of p and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 16*v + 4. Let r be (-10)\/(-1)*(-297)\/2970. Let k(g) = g + 1. Calculate r*n(x) + 5*k(x).\nAnswer: -11*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 25*v**3 + 2*v**2 + v. Let p(w) = -27*w**3 - 3*w**2 + 1. Let f(u) = -3*c(u) - 2*p(u). Suppose -q - 3 = 2*q. List the prime factors of f(q).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/5)\/((-92)\/(-575)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15850 + 16917. What is the remainder when b is divided by 149?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + 2.34. Suppose -2*s + 3*o + 9 = 0, -3*o + 8*o = 4*s - 17. Let d be (-12)\/s - 2\/2. Put p, 5, d in descending order.\nAnswer: 5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 18. Let j be r(-8). Let b = 8 - j. Let i(l) = l**3 + 3*l**2 + 2*l + 3. Calculate i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d, 4*d + 62 = -5*c - 0*c. Let m be (-26)\/c + 2\/5. Solve -m*o + 2 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -16. Let n = -24 + y. Solve 4*u + 22 = -5*a, 4*a - u + 5 = -n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16115, 32213, 48251, 64199, 80027?\n\"Answer: -5*g**3 + 16133*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -84 - -30) + 22\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4087.6 - -21.764619.\nAnswer: 4109.364619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 288.57198 milliseconds?\nAnswer: 0.004809533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + a6660?\nAnswer: a6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/32 + 3\/2. Suppose -c - c = -3*o + 5, c + j = 0. Let f = 1 + 1. Solve 2*n - o - 1 = 0, 5*t - f*n - 23 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/5 - o**4\/2 + 7*o**3\/6 + o**2\/2 - 7*o - 1. What is the second derivative of b(p) wrt p?\nAnswer: -24*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 11. Let m be 78\/(-9)*36\/u. Let h be (-12)\/(-78) + (-45)\/m. What is the closest to 3 in 1, -3, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 327 = 609. Suppose 7*g - 3526 = -o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -10061259811757?\nAnswer: -10061259811760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 110*m**3 - 109*m**3 - m**2 - 5 + 0*m**2. What are the prime factors of w(5)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6*b = -33. What is the units digit of ((-33)\/(-44))\/(b\/(-424))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -87 (b) -2 (c) -345 (d) -0.5 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.44325l in millilitres?\nAnswer: 47443.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-69)\/(-1012)*550\/36. Let o(l) be the second derivative of -5\/24*l**4 + 0 + a*l**3 + 1\/80*l**5 - 27*l + 0*l**2. Let o(z) = 0. What is z?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183.01431794 - -250.0143163. Let v = 67 - l. What is v rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332.8084 decades to months.\nAnswer: 39937.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -3*i**2\/2 + i + 23. Give s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -531, -550, -567, -582, -595, -606, -615?\n\"Answer: z**2 - 22*z - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56561, -54787, -53011, -51233, -49453?\n\"Answer: j**2 + 1771*j - 58333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/7 and 65\/86209277.\nAnswer: 86209277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -40, -86, -150, -232, -332, -450?\n\"Answer: -9*t**2 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:17 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 15487213?\nAnswer: 1\/15487213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 232\/3. Let j = 423.23 + -428. Let q = j + -0.23. Sort 5, 3, g, q in increasing order.\nAnswer: q, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:22 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 + 2*t**2 - 2*t - 2. Let v(f) = f + f**2 - 3 + f**2 - 5*f**3 - 4*f. Suppose 3*i - 2 = 4. Determine i*v(y) - 3*q(y).\nAnswer: 2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2268 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iccvvnvvvvnvvic. Give prob of picking 2 c, 1 v, and 1 n.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k**3 + 2*k**2 - k. Let j be (-5)\/2*(-11 - (-204)\/20). Let s(a) = -a**3 + a**2. What is j*s(c) - u(c)?\nAnswer: -11*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 + 2 + -7 + (6 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*-1*32\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:51 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 10 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 5*t**2 + 6*t + 5. Let p(h) = 3*h**3 + 4*h**2 + 5*h + 4. Let o(j) = -j**3 + 6*j**2 + 5*j - 26. Let b be o(6). Determine b*d(w) - 5*p(w).\nAnswer: -7*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26412.52 times -8.8?\nAnswer: 232430.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*40\/330*(-1)\/(-2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11422188 by 3.\nAnswer: -3807396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 4939?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -369*l**3 + 2*l**2 + 4. Let h be w(2). What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1380 - -603. What are the prime factors of n?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 + -238.12. What is g rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 2. Let h(n) = 3*n**2 - 12*n + 10. Let t(u) = -2*u**3 - 18*u**2 - 2*u - 17. Let v be t(-9). Let i(m) = v*d(m) - h(m). Solve i(f) = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 1, s: 4, c: 6, u: 4}. Give prob of picking 2 c and 2 s.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/70)\/(38208\/(-44576))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*z - 115, -q = 4*z - 6 - 17. Let y = q - 30. Let x = 22 + y. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2407743*n**4 - 127185*n**2 - 10*n wrt n?\nAnswer: 57785832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274743*q**2 + 49*q + 752 wrt q?\nAnswer: 549486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/153382 and -7\/956.\nAnswer: 73316596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187) + sqrt(187)*-2 + sqrt(187))*-4)\/(3*sqrt(891)).\nAnswer: -4*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -101. Let d = z + -99. Solve -m + d - 19 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(484\/3288) + ((-8)\/32)\/((-242)\/(-264))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 26 = 12*t - 27*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8808036 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84899933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -224. Suppose 77 = 5*t - 68. Let p = a - t. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 44098871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/13, -6, 6295?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*-56.\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4)\/60*2\/4.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-48))\/((-600)\/11520) - (-1 + 4365\/(-397))?\nAnswer: -2\/397","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18d + 417?\nAnswer: 5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 234\/4*((-263)\/(-15) - 8\/40). What is the highest common factor of 312 and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 25*c - 14*c = -720. Calculate the least common multiple of c and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n + 19. Let c(k) = 6*k + 38. Calculate -2*c(z) + 5*h(z).\nAnswer: 13*z + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Let v = h + 0. Let r = 1.2936 - 1.3936. Which is the nearest to v? (a) -3 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -58.011. Let q = -8509 + 8514.189. Let r = q + n. What is r rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a*h**3 + 16*a*h**2 - 4420*a + 6*h**6 + 260*h**3 wrt h.\nAnswer: 60*a + 720*h**3 + 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 10, 5*f = 5*r - 301 - 424. Let b = f - -559. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2033952, 4067911, 6101870, 8135829, 10169788?\n\"Answer: 2033959*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {x: 5, e: 1, l: 1, d: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 133356154 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(48)*-2))\/(-6*(sqrt(64)\/sqrt(4))\/sqrt(4)).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -133132020 (base 4) to base 14\nAnswer: -34d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 103775.4332 and 3.\nAnswer: 103778.4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/2 - 73*f**2 + 289*f\/2 - 72 = 0. Calculate f.\nAnswer: 1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 420004 = x, 2*x - 73040 = 4*w - 1753048. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/3*(550\/(-1155))\/(3\/(-9))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 0. What is the remainder when 18 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r*u**3 + 6*r*u**2 + 3801*r + u**3 wrt u.\nAnswer: 9*r*u**2 + 12*r*u + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385 - -768. What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8*j + 288. Find the common denominator of 39\/8 and (632\/j)\/((-4)\/6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9))**(3\/14)*(k**(-1))**(-11) assuming k is positive.\nAnswer: k**(233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 690\/92*24\/15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let l(v) = -48*v - 30. Let d(b) = -l(b) + 36*y(b). Let x be d(7). What is j in 9*j**4 - 6 - 9*j + 9*j**2 - 143*j**3 + 86*j**3 + x*j**3 = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 - 2027613?\nAnswer: -2027467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2\/5, -3, -0.41 in descending order.\nAnswer: 2\/5, -1\/3, -0.41, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*h = -2*s - 68*h + 242, 4*s = -3*h + 477. What is the least common multiple of s and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -21 (c) -37 (d) 32 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 39731 + 3603. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 875368200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 34. Let n be p(-14). What is the greatest common divisor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-2 + -7 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, s: 4}. Give prob of picking 3 s and 1 z.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159)\/sqrt(3) + -1 + sqrt(13) + -5)**2.\nAnswer: -120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 4, k: 8}. What is prob of sequence pb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 41895*v**2 - 20948*v**2 - 20949*v**2 - 5. Calculate x(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**18*(p*p\/(p**7*p))\/p)**12 assuming p is positive.\nAnswer: p**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(3\/6*3). Suppose -p*t = -0*t + 10. Suppose 0 = 4*q - 87 + 111. Is q smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1991.\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c*w**3 - 19*c*w**2 - 5*c*w - 113*c + 2*w**3 - w**2 + 2 wrt w.\nAnswer: -42*c*w - 38*c + 12*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/(-816)*7*(-2)\/(-2)\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 22720*t - 113725.\nAnswer: 5*(t - 5)*(t + 4549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 10. Suppose -19 = -5*v + 3*g, g + 2*g - 6 = 0. Give l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*u + u - 4, 0 = -3*u - 3. Does 7 divide (-50)\/o*(20\/8 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 1 + (7 - 4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-1 - 0) + 12 - (-115 - -105))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7673\/34488 - 1\/3832. Put -0.5, -5, 1\/2, -2\/5, y in ascending order.\nAnswer: -5, -0.5, -2\/5, y, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1525995 and 89\/508665.\nAnswer: 1525995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 260568589.999861 - 260568723. Let s = y - -133. Round s to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 269*d**2 + 28\/15*d**5 - 1\/315*d**7 + 0 + 2\/15*d**6 + 88\/9*d**4 + 80\/3*d**3 + 0*d. Solve h(t) = 0.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 298. Let c be z(-50). Suppose 0 = -5*i - 3*b + 6, 5*b = 4*i + 71 - c. Solve 0 + 0*q - 4\/5*q**i + 2\/5*q**4 - 6\/5*q**2 = 0 for q.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -17. Is 6 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8639 and 636?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) - (-56)\/55. Let x = 1142085 + -1142085. Suppose x - 2\/5*h**4 - 2\/5*h**5 + 4\/5*h + 2*h**2 + g*h**3 = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.92 or -6\/24793?\nAnswer: -4.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -d?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let x = -6086 + 6089. Which is the second biggest value? (a) 2 (b) -4\/7 (c) r (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 1:34 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 11*l**2 + 2*l. Suppose 15 = -h + 3*z, 0*h - z = 2*h + 9. Let k be (-64)\/(-6) - 0 - h\/18. Is 11 a factor of c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 1080 + 4244 = 0. Solve -446*p + a*p = -36 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481732833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y = 10. Let q be ((-1)\/2)\/(y\/8). Is (q\/(-6))\/(3\/(-1143)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -129085, -129086, -129087, -129088?\n\"Answer: -d - 129084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 35, 64, 117, 206, 343?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2939 - -3088. What is the remainder when 457 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 7. Let t be y(10). Let m be 14\/t - 4\/6. Let a be 5*(-2)\/(-20)*4. Solve -5*r - 30 = -m*p, a*p = -2*p + 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**5\/20 + v**4\/4 - 5*v**3\/6 - 3*v**2\/2 - v. Let w(m) = -m**3 + 2*m. Suppose 4*z - 2 = 3*z. Let i be w(z). Give l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42212.6 + -42213. Which is the nearest to -0.0373? (a) -2\/23 (b) -2 (c) l (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -23*y**3\/3 + 31*y**2\/2 + 6. What is the second derivative of h(t) wrt t?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1773*n**2 - 767*n + 4. Let j(a) = -1768*a**2 - 766*a + 5. Let k(g) = 4*j(g) - 5*q(g). Find the second derivative of k(r) wrt r.\nAnswer: 3586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 132 = 114. Let y = x - -5. Let h = 0.47 + -0.07. What is the third smallest value in y, h, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 731282, 1462566, 2193850?\n\"Answer: 731284*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:36 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890806.\nAnswer: 2, 197, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1765*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-42)*(24\/30)\/(174\/(-725)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 6*q + 15 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = t + 4*i, 4*t - i + 2490 = 2483 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -14*n + 288. Calculate the highest common factor of n and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 0.03. Let b = 1.92 + k. Let s = -5676 - -5680. What is the closest to s in 4, 3, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1699873 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 1 + 1. Let i(c) be the second derivative of c**t + 0 + 1\/10*c**5 - 1\/3*c**3 - 1\/6*c**4 + 2*c. Determine y so that i(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 8:09 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2 - 10. Suppose -3*x = -6*x + k. Let o(a) = 2*a + a**2 - a**2 - a**2 + 0*a**x. Give o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 450 = -32*m - 10*m. Calculate the least common multiple of 4188 and m.\nAnswer: 12564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -36. Let v(z) = 2*z**5 - 3*z**2 - 3*z + 3. Let t(j) = j**5 + j - 1. Let w(o) = g*t(o) - v(o). What is the third derivative of w(q) wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 20*a**2 - 22*a - 17. Let f be m(-21). Suppose 0 = -3*s - f + 37. Suppose 0 = -9*p + s*p + 1560. Round p to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 2. Let z be k(5). Let d(y) = y + 6. Let t be d(-3). Let h(s) = 3*s - s**2 - 4 - 4*s + t*s - 5*s. Calculate h(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*l - 1446 - 1050, -2500 = -4*l - 4*z. Calculate the remainder when 621 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in -7018, -0.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let s(o) = 6*o. Let u(x) = -4*b(x) + 2*s(x). Let w(a) be the first derivative of -3*a**2\/2 + 69. Give u(w(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 146857 in -0.3, -23, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4197469 is divided by 9518?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -30. Let s = -0.0878 + -5.3622. Let c = s + 5.35. What is the closest to c in b, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -20*i - 16*i + 11*i - 12. Let k be u(-6). Suppose d + 4*p = 39 - 8, 3*p - k = -5*d. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 + 1. Let x be w(-1). Suppose 6610 = 2*n + 5*r - 2842, -x = -5*r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let p(r) = -8*r + 16*r - 9*r. Let k(t) = -3*o(t) - 4*p(t). Let u(n) = 4*n. Determine k(u(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 365?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 540 divided by 108\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104)*6 + sqrt(104))\/(2*sqrt(128)))**2.\nAnswer: 325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + -14. Let g = 31 - b. Suppose 0 = s + 4*l - g, -s + 47 = -5*l - 100. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9169 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/9 - 2)*(2 + 1). What is the derivative of y - 5806*w**3 + 5806*w**3 - 102*w**4 + 8 wrt w?\nAnswer: -408*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -3, 270, -5 in increasing order.\nAnswer: -5, -3, 22, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/48)\/((-10)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 321590\/33 less than or equal to 9744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c - 3*c)*(766*c + 999*c - 1469*c) + (0*c + c + 0*c)*(-1 - 3*c + 1).\nAnswer: -595*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + s - 2. Give k(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -360 and -884996715?\nAnswer: 884996355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29482990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 1, i: 4, n: 2, f: 2, y: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-12))\/((-2)\/24). Let p be -5*10\/(-6) - (-2)\/z. Let q be p\/30*(-9)\/6. Which is the nearest to q? (a) 1\/9 (b) -2\/5 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 110. Let v be f(9). Factor -141*h**4 + 73*h**4 - 2*h**5 + v*h**4.\nAnswer: -2*h**4*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -s. Let c(j) = j**2 - 7*j + 19. Let i be c(s). Let v be ((-77)\/(-55))\/(-1 + (-12)\/(-10)). Is v smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470 and 7285.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-106)\/(-8) + 6\/9. Let d = 223\/60 - u. Calculate the common denominator of d and 39\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 114*(54\/12 + -6). What is the remainder when (2\/4)\/((b\/2754)\/(-19)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/39 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 580844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1221*w - 9. What are the prime factors of u(2)?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88 - 62) + 67 - (-1 - -5)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-10))**15 assuming c is positive.\nAnswer: c**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 4 + 4)*((0*y - 2*y + 0*y)*(-1 - 2 + 2) - 1 + 3*y + 1) + (3*y + 0 + 0)*(-y - 3*y + 6*y) + y**2 + 0*y + 0*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 164\/60)\/(10\/(-50)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 18) + -7 + 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 40 = -8*y. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 622 + -206. What is the highest common divisor of 32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r - 10, 0 = 2*l - 2*r. Let c(b) = -3*b - 2. Let q(z) = -5*z - 2. Let n(k) = 8*c(k) - 5*q(k). Determine n(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 748088722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1709 - 1269. Does 53 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 31, -1\/3, 1\/4, 0.2 in descending order.\nAnswer: 31, 2\/5, 1\/4, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/4)\/(n*n**9)*n**(-8)\/((n\/(n\/(n\/n**(4\/3))))\/n) assuming n is positive.\nAnswer: n**(-197\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m**2 - 3*m + 17. Let w(q) = -3*q**2 - q + 4. Let c be (81\/(-15))\/((-12)\/20). What is c*w(o) - 2*n(o)?\nAnswer: -o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8. Let u = 1315 - 1250.9. Let r = -64 + u. Which is the nearest to r? (a) 2\/19 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2979811\/24 - 124123. Let g = f + -92\/3. Calculate the common denominator of 131\/120 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 0.2, 27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -24*t**3 - 140*t**2 + 544*t + 3117. Calculate g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 3:40 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 63763658 - -2248218\nAnswer: 66011876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 16 = -7*h. Suppose 0 = s + 4*w + 3, 0 = -2*s + w - 2*w + 1. Solve -h - s = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9734 is divided by 572.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3199042 + -4300958. Round l to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/5)\/((-9)\/(-2250)). List the prime factors of -2 - 1\/(5\/g).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 20*m - 447. Calculate s(-12).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3209 is divided by 1539?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(98) + 0 + 1 + -1 + sqrt(200) + 1 + 4.\nAnswer: 5 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -476.261356 - 219?\nAnswer: -695.261356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7*((148 - 146) + (-3 - -1)\/(-2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5471060 and 64011402.\nAnswer: 640114020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12551? (a) 0.1 (b) -2 (c) 0 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s - 28 = 0. Let x be 8\/(-28) - 4\/s. Let v be (1\/(1\/1))\/(-2). Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/536734 and -41\/1054.\nAnswer: 9124478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2*w**3\/3 - 134. Let q(z) = 1 + 5*z - 7*z + z + 0. Give q(s(j)).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 4*g + 18. Let q be l(-3). Suppose 2*m - 9 = q. Let d be (-28)\/(-8)*(2 + (-6)\/m). Let n(a) = -a**3 + 5*a**2 + 7*a + 4. What is n(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.34. Suppose 3*l + 3*u - 345 + 18 = 0, -319 = -3*l + 5*u. Let j = l + -649\/6. Which is the third biggest value? (a) t (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -542, -815, -1088, -1361, -1634?\n\"Answer: -273*a - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 12. Let h = g - -2. Suppose 0 = j + h*s - 56 - 4, 0 = -3*j - s + 194. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-223)\/(-892) + (-53)\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91, 212, 357, 538, 767, 1056?\n\"Answer: 2*b**3 + 107*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2342 - 1130. Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.7? (a) -0.3 (b) -597 (c) 0.9 (d) 4 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-8) - 1\/4. Suppose -s*b = -3*b - 32. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + m)*(-4 - 1 - 1)*(2*m + 4*m - 5*m) in the form a + u*m + o*m**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:00 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 23*l**2 - 34*l - 69. Calculate p(6).\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/313? (a) -0.7 (b) -2 (c) 1\/3 (d) -0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2120.517mg?\nAnswer: 2120517000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-9))\/(0 - 1). Let j = -1.3 + 0.8. Sort i, j, -3 in increasing order.\nAnswer: -3, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*h - h - 12, -2*h - 4*t = -16. Suppose h = 23*o + 24 + 137. Let n(l) = -l**2 - 8*l + 5. Calculate n(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(14\/3 + -4). Let r = p + -22. Solve 0 = r*d + 3*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 17 + -44 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14108074 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -7, 0.1, 2\/21 in increasing order.\nAnswer: -7, 0.02, 2\/21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17289 + 17288.9. Let z = 4.5 + -8. Let q = 3 + z. What is the second biggest value in 0.2, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 88a7?\nAnswer: 88ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(363) + ((sqrt(363) - sqrt(363)*1) + -4)**2 + sqrt(363)) + -2 + -1).\nAnswer: -110*sqrt(3) - 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -8. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 36 = 4. Suppose 40 = t*s - 8. Suppose 4*d - n - s = 3*d, 4 = -d - 4*n. Solve -4*p + d*c - 21 = 3*c, -4*p = -4*c + 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**3 + 14*m**2 - 23*m + 4. Let b be 9 + -9 - (1 + 7) - -3. Let c(t) = -11*t**3 + 21*t**2 - 35*t + 6. Let u(w) = b*c(w) + 8*r(w). What is u(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let w(c) = -608*c + 352*c + 391*c. Give h(w(s)).\nAnswer: 18225*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568581876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -0.164\nAnswer: 0.00492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*120\/(-144)*120\/50.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + 93*m - 28. Let q be y(17). What is the greatest common divisor of q and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/7 - 5604*y**3\/7 - 3947954*y**2\/7 - 31315152*y\/7 - 62451488\/7 = 0.\nAnswer: -1397, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 0.073?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/5*(-60)\/24. Let s = -301 - -303. Let i(b) = -o*b**2 - 30*b - b**2 - 2 + 31*b + 6*b**s. Determine i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676009 is divided by 55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001146284 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066341229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 4*q)*(0 + 2 - 1 + (-3 + 2 - 1)*(2 - 2 - 2) + (-3 + 0 + 1)*(-2 + 5 - 5)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 4*k + 2. Let a be d(-4). Suppose -3*x + 7*x + 4 = 2*t, 5*t + 3*x - 10 = 0. Are a and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 2, r: 4}. What is prob of sequence frr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 14. Suppose 2*o - 4*y + 112 = 4*o, 0 = o - y - 62. Calculate the smallest common multiple of ((-6)\/15)\/((-8)\/o) and d(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.23 - 0.23. Let u = 137 - 133. What is the closest to -0.1 in n, u, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-2))\/(8\/282). Let t = i - -431\/6. What is the nearest to 1\/4 in t, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 262623 - 2406\nAnswer: 260217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-165))\/(126\/63).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/(-68))\/((-38)\/40 + 1). Solve -2 = 6*z + j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + -20 + 19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/313188 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -421\/3 + 149. Let k = d + -10. Which is the second biggest value? (a) 5 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22532268.8 plus -2549?\nAnswer: -22534817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14146, 1, -4, 723 in ascending order.\nAnswer: -4, 1, 723, 14146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n**2 - n + (-1 + 3 - 4)*(0 + 0 + 2*n**2))*(-5 + 11 - 4)*(-2 + 5 - 4).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231160 + -361?\nAnswer: -231551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g + g - 7*g + (4*g - 4*g + g)*(-2 + 2 - 2) + 116 - 116 + 21*g in the form l*g + q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2) - -38)*13\/((-273)\/14).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = 17*t - 12*t. Suppose t = 3*w + 3*j - 506, -4*w = -5*j - 767. Calculate the highest common factor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + -14 + 5 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i - 7. Suppose 6*w = 11*w + 10. Let r be v(w). Put 1, -2, -4, r in descending order.\nAnswer: r, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.2. Let c = 7.6 - 6.6. What is the nearest to m in -5, c, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**7\/14 + 7*j**6\/20 + 7*j**5\/20 - j**4\/4 - 3*j**2 + 21*j. Find g, given that d(g) = 0.\nAnswer: -2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 0*i**2 - 6*i + 6*i**2.\nAnswer: 6*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1128\/470)\/((-4)\/15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128.59 - 125.19. Which is greater: 76 or b?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 + 76*d**2 + 233*d + 9931. Determine i(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/4 + 2*b**3 + 9*b**2\/2 + 5*b + 312. Suppose 2*i = -0*i + 14. What is the units digit of m(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**5 + 4*p**4 + 4*p**3 - 9*p. Let b(i) = -i**5 - 3*i**4 - 3*i**3 + 9*i. Let o(w) = -4*b(w) - 3*n(w). Find the second derivative of o(d) wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1626212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174630171.\nAnswer: 3, 17, 3424121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109933*v**3 - 1452372*v?\nAnswer: -659598*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -230385.5 rounded to the nearest 1000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18954 divided by 173\nAnswer: 18954\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(-3 + 2 + 0) - 3 + 2 + 0 - 1 + 3 - 3)*(x**2 - 2*x**5 - 15793 + 568*x**4 + 15793).\nAnswer: 6*x**5 - 1704*x**4 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {r: 1, q: 1, a: 1, n: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3018 less than -3014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4866449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97, -97, -99, -103, -109, -117, -127?\n\"Answer: -h**2 + 3*h - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79871568 divided by -2342?\nAnswer: -34104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 182?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1249194*j**2 - 3095546*j?\nAnswer: -2498388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 2*t**5 + 2*t**5 + (-2*t + 2*t + t**4)*(-46 + t - 2*t + 125).\nAnswer: t**5 + 79*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 66. Suppose -61*v + j*v - 5*v**3 - 5*v**4 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11549728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10501812, -21003619, -31505426, -42007233?\n\"Answer: -10501807*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**3 - u**2 - u + 1. Let z be d(1). Calculate the remainder when 6\/z*-21 - 1 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*c - 18 = 0, 2*c + 8 + 37 = 5*d. Let h = d + -5. Find f such that -h*f + f**2 - f**2 + 2*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3*b**2 + b - 2. Let g(y) = -2*y**3 - 3*y**2 - 10*y + 4. Let p be g(-5). Let o = p - 233. Determine q(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2\/5*b**5 + 0*b + 0*b**2 - 12 + 1\/2*b**4 - 1\/3*b**6 + 2\/3*b**3. Factor k(n).\nAnswer: -2*n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k + 9*k - 10*k - 4*k.\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -1053?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002022201222 - -1?\nAnswer: 2002022202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1.85. Let f = -8.85 - w. Let p be 18\/144*8\/(-6)*-3. What is the nearest to 2\/5 in p, f, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27141323 (base 8) to base 5\nAnswer: 3024013222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/(-168)*36\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 2, 2\/3, -2\/7 in decreasing order.\nAnswer: 2, 2\/3, -0.15, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218602675 to the nearest integer?\nAnswer: 14785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g + 7*g - 3*g - 2. Let w be t(2). Suppose n = -n + w. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500) + -4)*-6 + -3.\nAnswer: 21 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1251384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1001202220101012 (base 3) to base 5\nAnswer: 12403314104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1, 3, -2.6, -1257 in decreasing order.\nAnswer: 3, -1, -2.6, -3, -5, -1257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -38. Let z = d - -5. Let x = z - -11. What is the greatest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -5\/724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*q + 16, 4*b - b = 4*q + 24. Suppose 30*o - 26*o = b. Is (-631)\/(-3*o\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {s: 3, l: 2, y: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36276177?\nAnswer: 3, 7, 1727437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (31 - -3) + (2 - (19 + -8)) - 3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -1. Find the second derivative of -8*f**5 - 2*f - 2*f - f + b*f**5 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 651*d - 13435. Calculate the smallest common multiple of x(21) and 772.\nAnswer: 45548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 7205655?\nAnswer: -4\/480377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 34657582?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/858 in -12, 1, 9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from kkgkbkbbbkkbbggbbbk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3872\/3 - 176\/3*a + 2\/3*a**2.\nAnswer: 2*(a - 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8382501 rounded to the nearest ten thousand?\nAnswer: -8380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 473\/(-44) + 11 + (-87222)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {r: 9, t: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 12:16 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3698 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by 1944021.\nAnswer: 329\/1944021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102854 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/96629155 and -91\/41412495.\nAnswer: 289887465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 41. Suppose -34 = -2*z - r*t - 0*t, -5*z = t - 131. Let y = -5 + z. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p, 0 = -2*i - i - 3*p + 6. Let a = 81 + -79. Suppose -i*q + 6*q + 4*c = 0, a*c = -2. Is 1\/3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + -6*(0 + sqrt(147)*2 + sqrt(147)) + -1 + -4)**2.\nAnswer: 1260*sqrt(3) + 47653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*c - 78*c + 39*c)*(-1 + 3 + 0) + (0 + 2 - 1)*(0 + 0 + c) + 0*c + 2*c + 0*c as q*c + z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 8333*g = -8332*g - 19, g - 4 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143337880.\nAnswer: 2, 5, 28583447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6548\/71 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 5. Let w be -1 + 0 - (-4)\/(-2). Let s be (-1 - -1)\/(6\/w). Let g be z(s). What is g rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1236 divided by -6\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 3. Suppose 0 = -6*d + 46 + 14. Let h be ((-40)\/d)\/(2 - 3). Calculate k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*n + 48*n - 366 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 487219 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 1, g: 2, v: 4}. What is prob of sequence vgv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8825 to 2 dps.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/f)**(3\/5)*(f*f**19)\/(f\/(f\/f**(-1\/4))) assuming f is positive.\nAnswer: f**(389\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99397 minus 2462?\nAnswer: -2461.00603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 + 5*v - 4. Let q = 255 + -219. Calculate the remainder when q is divided by c(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 - 12*a**2 + 20*a - 1. Let r be t(2). Suppose 2 = 2*y - 0. Let q be y\/4 + 2093\/28. Calculate the highest common divisor of q and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222023 + 222023. Factor -5\/8*r**4 - 1\/8*r**5 - r**3 - 1\/2*r**2 + j*r + 0.\nAnswer: -r**2*(r + 1)*(r + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 592*p - 7. Let a(l) = -11*l + 1. What is -24*a(t) - 3*u(t)?\nAnswer: -1512*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 0. Let p = 46 - 7. Let i = p - 38. What is the fourth biggest value in -3, b, -1\/5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -g + 4*y, 4*g + 27*y - 23*y = 236. Solve -2*c = w - 1, -c + g = -w + 46 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*m - 15*a + 13*a - 1 + 3, 10*m - 22 = -4*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (40\/(-60))\/(1\/(-231))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4685\/4 - 1161. Calculate the common denominator of b and (-73)\/16 - (13 - 15).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/450 - a**5\/150 - 31*a**3\/6 + 40*a. Let o(y) be the second derivative of i(y). Let o(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-1170)\/(-12) + (-9)\/6. Calculate the greatest common divisor of t and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (21 + -8 - (3 + 12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvuvuvvvvuuuuuvuu. Give prob of sequence vu.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4*w**3 - a**4*w**2 + a**4*w + 196*a**2*w**3 wrt a?\nAnswer: 72*a*w**3 - 24*a*w**2 + 24*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*p + 18 - 3, -3*p - 9 = 0. Suppose 3*s - 30175011 + 5812368 = c. Suppose -s + 31480881 = 16*g. Round g to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:51 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*g + 22 = 0, 4*g + 61 = 4*c - 75. What is the remainder when 57 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -21*q + 170. Let o be t(8). What is the highest common factor of o and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:51 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1\/4, 4, -0.1373, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.04 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612394 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + j**3 - 5*j**3 + (3 - 2 - 2)*(5*j**3 - 2*j**3 - j**3) + j**3 + 4*j**2 - 3*j**3 + 1 - 3*j**2.\nAnswer: -5*j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 7:38 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*w**2 + 4655*g*w - 782480*g + 32*w**2 wrt w?\nAnswer: -4*g*w + 4655*g + 64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5169611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 2*q - 59808. Let u = q - -9449. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -20.175.\nAnswer: -25.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 47*l + 24. Let f be r(-16). Solve 0 = -22*s + f*s - 24*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2212584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/5*o**4 - 4\/5*o**2 - 1\/5*o**3 + 1\/5*o.\nAnswer: o*(o - 1)*(o + 1)*(4*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847251 (base 11) in base 8?\nAnswer: 13735524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-3 - (-6 - 5)) + 0 + -12 + -21.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*z**5 - 165*z wrt z.\nAnswer: 400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**2 - 3*f + 3. Let u = -1121157 - -1121245. Let m(y) be the second derivative of 77*y**4\/4 - 44*y**3\/3 + 44*y**2 - y. Give u*r(p) - 3*m(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:25 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 29, -5, -3 in decreasing order.\nAnswer: 29, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 385316140 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 10 + 87 + -66\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)*j*j**6*j)\/(j\/(j\/j**(1\/8))*j*j**(-8)) assuming j is positive.\nAnswer: j**(611\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3319794064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 192*c**2 - 2*c - 1. Let v(j) = -2*j + 2. Let y be v(0). Is q(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1793 + 1809. Sort y, -2, -1 in descending order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*x + 5*b, -18 = -3*x + 3*b + 33. Calculate the least common multiple of x and 253.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 + 28 = 0. What is the units digit of g*(-3)\/2*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 275 = -5*k, 3*k + 109 = -0*q + 2*q. Let i be ((-21)\/q)\/((-3)\/2). Determine v so that -1\/4*v**2 + 0 - 1\/2*v + i*v**4 + 1\/2*v**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.046 + -1.954. Let i = 1.85 + -2.09. What is the nearest to p in i, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2385 and 14283765.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Let p(w) = w**3 + 3*w. Let b(x) = 3*x**2 + x**2 - 4*x**2 - x**3 - 2*x. Suppose 0*d + 2*h = 3*d - 28, 0 = 4*d + 3*h - 9. What is d*b(i) + k*p(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/15 - 4*j**2. Let d(b) = b**3 - 4*b**2 + 6*b - 2. Let i be d(2). Let k(u) = 50*u**2 - 20*u**i - 27*u**2. Give f(k(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15*x**4 + 2*x**4 - 9*x - 1 + 6. Let g(t) = 6*t**4 + 4*t - 2. Let p(i) = 2*f(i) + 5*g(i). What is the second derivative of p(b) wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -3\/2, -3, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Let b be 0\/12*(-3 + (-5)\/(-2)). Suppose b = -g - 3*i + f*i + 3559, 4*i - 16 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - w + 16 + 7, -2*r + 4*w - 22 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 2*r**3 + r**3)*(2 - 1 - 3) + r**3 + 0*r**2 + 0*r**2 - 2929*r + 2929*r - 2 + 2*r**2 + 40*r**3.\nAnswer: 43*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*5)\/(2\/(-1)). Suppose 0 = -399*x + 400*x + 130. Let s = x + 135. Solve -3*g = s*k + 3, -v*k - 2*g = -0*k + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjddbbbbddb. What is prob of picking 2 j and 1 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -27 - -30 - 1*4. Let g be ((-1)\/(-5))\/(f\/(-25)). Suppose g*c + t = -16 - 5, -2*t + 6 = -2*c. Let w(d) = 5*d + 1. What is w(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.827 + -2.167. Let i = v + -18. Let g = i - -0.4. Which is the biggest value? (a) g (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.4. Let a = -0.188 - 0.012. Suppose 0 = 5*l - 3*l - 10. What is the closest to q in 0.9, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(-2*1*sqrt(209) - 1*(sqrt(209) + 1*sqrt(209) - sqrt(209))))\/(sqrt(132)\/(sqrt(84)\/sqrt(7) - sqrt(12) - sqrt(12)) + 2*(-1*sqrt(11) - sqrt(11))).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 4*s - 11. What is the remainder when b(6) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 39 + 2*f**4 + 2*f**3 + 39 to u*f**3 + h*f**4 + q*f + w*f**2 + p and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 575 + 619 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8)*(14 - 14). Solve -5*c + i + 10 = h, -3*c + 3*i + 0 = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**2 + 19*h + 22. Let x(d) = -4*d**2 + 9*d + 11. Let b(s) = 3*u(s) - 7*x(s). Let p be b(8). Let g = 6 - p. Which is bigger: -1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 11 + 2 = -c, 0 = -4*p - 4*c - 12. Do -3\/2 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 110 = -5*b, -3*b - 45 = 2*i - 133. Find the second derivative of b*k**5 - 3*k**2 + 34*k + 3*k**2 - 9*k wrt k.\nAnswer: 520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3)*k)\/k)\/(k*(k\/(k\/(k\/(k*k**8*k)*k)))\/k))**(5\/8)*((k*k\/k**(-2))\/(k\/k**(-3\/8)))\/((k**(-1\/2)*k)\/k*k**(4\/7)\/k*k) assuming k is positive.\nAnswer: k**(159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*n = 3*x - 656, -4*n = 3*x - 2000. What is the remainder when x is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.17579kg to nanograms.\nAnswer: 46175790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2575 divided by 330.\nAnswer: -515\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 8 - 4 - 33*j + j - 8.\nAnswer: -32*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - r**4)*(1 + 1 + 2) - 4*r**3 + 4*r**3 + 2*r**4 - 4*r**4 + 4*r**4 - 2*r**4)*(3*r - 4*r - 3*r).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:39 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 11*r + 3. Let u be d(11). Suppose -4*t + u*x + 68 = 0, 2*x = -4*t - x + 68. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8 - 33\/(-2). What is the first derivative of 31*m**3 - u*m**3 + 34 - 20*m**3 wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220500 = 28143*t - 24468*t for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -31. Let i = -4.17 + 0.17. Which is the biggest value? (a) -2\/5 (b) i (c) -0.5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16305 (base 10) to base 11\nAnswer: -11283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z. Give g(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l + 159. What is r(-8)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9399601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/7)*s\/(s\/(s\/(s*(s*s\/(s\/s**(-8)))\/s*s)))*s\/s**(-9)*s*s**(-14)\/s assuming s is positive.\nAnswer: s**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/(-42))\/((-1)\/2 + 0). Let w = -1575\/80543 + 8\/337. Let s = 725\/1912 - w. Is s at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/((-8)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -4. Suppose -o*q = -q. Solve q*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -4. Let l = -24 - -23.9. What is the nearest to 6\/11 in -2\/11, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2182 is divided by 109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45.7 or 0?\nAnswer: 45.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30464)\/1056)\/(-119)*-15?\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*m*q**3 - 111*m*q**2 + m*q + m wrt q.\nAnswer: -606*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 2*l, 2*l - 20 = -3*v. Let s be 18\/(-12)*(2 - v). Suppose -5*m = -25, -4*w = -2*m + s*m - 21. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246 times 2?\nAnswer: 0.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*p + 6, 2*f - 6 = 5*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 6*i - 44*i**3 + 4*i + 95*i**3.\nAnswer: 51*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3067.707 minus 13?\nAnswer: -3080.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2219333.51 and -3208.4?\nAnswer: 2216125.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40990771 a multiple of 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87747.7161 - 87738. Let n = -9.7 + r. Let v = n - 0.02269. Round v to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l - 2*l)*(-106 - 13 + 6).\nAnswer: 113*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -6 - 7) + -3 + 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 113*o = -108*o - 1112, 0 = -4*k - 2*o + 1506. What is the remainder when 392 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/71 (b) 4 (c) 1\/10 (d) -6 (e) 0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -55. Let f = 165 - u. Let h = 99.026 - f. Round h to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6838372 and -214?\nAnswer: 6838158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 9*g**2 + 12. Calculate v(8).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72593 divided by -229.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 7. Let m = -3\/2425 - 4811\/31525. What is the third smallest value in -0.1, d, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3753119 is divided by 6372.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0)*8\/2. Let l be 0\/(-8) - (-1)\/a. Sort -0.4, -0.1, l in descending order.\nAnswer: l, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0453236 * -0.1.\nAnswer: -0.00453236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2 - 13. Suppose -n*c + 5*v = 4*v - 82, -5*c + 3*v + 86 = 0. Suppose 381 = c*k - 19. Solve m + 4*m - k = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-eight sevenths of a week?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -444\/89453 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169663 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8392194.\nAnswer: 1\/2797398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:11 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87826 is divided by 2819.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/6 + s**3 - 8*s**2. Let b(t) = 9*t - 11. Let c(v) = 6*b(v) + 11*y(v). Let i(a) = -a. Give 2*c(f) + 22*i(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-4))\/((-8)\/(3104\/(-291)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let u(f) = -17 - 20 + 4*f + 6*f + 1 - 6*f. Give t(u(d)).\nAnswer: -32*d**2 + 576*d - 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/21, 1\/8, 30?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 106. Suppose 2*v = -5*f + 1200000, 2*v = -z*v + 5*f + 2400000. What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/15539935 and -49\/20.\nAnswer: 62159740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10254 and 984384.\nAnswer: 984384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecgfqgre. Give prob of picking 1 f, 2 g, and 1 q.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.4 (c) 17.3 (d) -1820 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -26865861722383?\nAnswer: 26865861722383.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - b = 17, b + 2 = -4*o + 9. Let j be 81\/4 + o\/(-12). Let c be 5\/(-19)*(-8)\/j. What is the smallest value in -0.3, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2 - 3 - 2 + 4 + (-3 + 5 - 4)*(-1 + 1 - 2) + 2 + 1 - 4 + 4 - 4 + 1)*(-4*k**2 - k + k) to the form l*k + v*k**2 + i and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 14 - 3 - -8) + -19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 8*v + 51. Let f(b) = 97 - 25*b**2 + 13*b**2 + 5 + 15*b. Let u(h) = -4*f(h) + 7*i(h). Differentiate u(a) wrt a.\nAnswer: 26*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -14. Let l(h) = 53*h**3 - 3*h**2 + 6*h**2 + p*h**2 - 7*h**2. Does 11 divide l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b9f0 (base 16) to base 14\nAnswer: 2d332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, 0.12, -4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -117.\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9250 + -4692. What are the prime factors of w?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(17))*-5)**2 - (2*sqrt(272) + sqrt(272)) - (3*sqrt(119)*1)\/sqrt(7).\nAnswer: -65*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, m: 4, y: 1, k: 1, c: 4}. What is prob of sequence cay?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 11:32 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.03004 + -0.16904. Round z to 1 decimal place.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-5) - 48\/(-120)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, u: 7, q: 2, k: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, t: 2, w: 2}. Give prob of sequence wkt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -190, -426, -738, -1132, -1614?\n\"Answer: -m**3 - 32*m**2 - 133*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82a - 258bb?\nAnswer: -26307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10\/9)*l**(4\/13) assuming l is positive.\nAnswer: l**(-94\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 38*j - 190 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -5*b**3\/6 - 99*b. Let i(h) = 14*h - 1. Let k(u) = 2*i(u) + 5*r(u). Let z(c) = 65*c - 45. Give -90*k(j) + 4*z(j).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let t(p) be the first derivative of -11*p**2 - 7. What is t(g(h))?\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 874*m - 19168. Let t be i(21). Suppose u - 310 = -0*u - r, u + 2*r - 314 = 0. What is the highest common divisor of u and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 - 2*w**2 + 3*w**2 + (13 - 12 + 9)*(w**2 - 3 + 3))*(-38*w - 10*w**3 + 38*w).\nAnswer: -50*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 123845367 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19239*g**2 - 146*g + 30708*g**2 + 146*g + 63120*g**2)*(4*g - 4*g - 2*g**2).\nAnswer: -226134*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3843, 3839, 3843, 3861, 3899, 3963, 4059, 4193?\nAnswer: 4371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by 3624.\nAnswer: 31\/906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-500*t + 15922 - 15922)*(827 + 48*t**2 - 827) as r + k*t**2 + w*t + x*t**3 and give x.\nAnswer: -24000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 193145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613586 is divided by 562?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = b - 2*d, -d = 5*b + 272 - 60. Let t = b - -62. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -369044, -737997, -1106960, -1475939, -1844940?\n\"Answer: -j**3 + j**2 - 368949*j - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 - 6*v**3 - 153*v**2\/4 + 55*v + 87 = 0 for v.\nAnswer: -6, -1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/24 + 2)\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -43, 3, 0.81?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(65\/30))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 1\/13, -3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-6))\/(17\/(-102)))\/((-45)\/10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b368 (base 15) to base 12\nAnswer: 19b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 = -0*g. Suppose 12 = -s + 25. Calculate the remainder when s is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 3 = 0. Let u = -90 - -89.8. What is the second smallest value in 0.5, j, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - 4. Let g(h) = -3*h**2 + 20*h - 23. Let b be g(6). Let u(z) = z**2 - 1. What is b*u(n) + 2*r(n)?\nAnswer: n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.4. Let f = m + 0. Let q = -1.123 + 7.123. Put f, q, 1 in increasing order.\nAnswer: f, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 7:13 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 59*g + 41*g - 2 + 15*g. Let i(d) = d. Calculate i(v(q)).\nAnswer: 115*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let b(s) be the third derivative of s**4\/24 - 13*s**3\/6 + 3*s**2. Suppose h + 0*h - 9 = 0. Let u(a) = 3. Determine f*b(y) + h*u(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/22004752 and 9\/22.\nAnswer: 22004752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4966, -18733, -32500, -46267, -60034?\n\"Answer: -13767*m + 8801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13882 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:17 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from aaooaaoouohuoo?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 6, 51, 1, 4, -1, 10 in descending order.\nAnswer: 51, 10, 6, 4, 1, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 73574 + -15\nAnswer: 73559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1159, -2\/5.\nAnswer: -1159, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -182 (b) -6 (c) -0.11 (d) -2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15704442 or -2\/29?\nAnswer: 15704442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**2. Give i(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13035974.\nAnswer: 2, 7, 17, 54773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.509 + -1.409. Which is the biggest value? (a) -13 (b) 2\/9 (c) h (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 7. What is w(17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-60))\/(7\/((-140)\/(-24))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2538.073 - 2537. Let h = 0.073 - f. What is the nearest to h in -4, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -6 (c) -1 (d) -24 (e) 458 (f) -6\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*-1*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 10. Let s be n(7). Determine w, given that 0*w**2 - s*w - 3*w**2 + 24 - 6 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -15. Let x(i) = i**2 - 6*i. Let n be x(c). Which is smaller: -5\/4 or n?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p. Let k(z) = z**2 - 12*z. Calculate k(t(q)).\nAnswer: 9*q**2 - 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:09 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, -185, -10\/7, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o - 9*o + 38*o - 14*o - 4. What is q(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2328770 or -2328749?\nAnswer: -2328770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28572 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686 = 40*y - 54*y. What is the least common multiple of 63 and y?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.71 times 135\nAnswer: 365.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5 = 4*i, 3*i + w = -3*w - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 188044*z**2. Let p(h) = 2*h. Determine d(p(k)).\nAnswer: 752176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**5\/5 + 9*b**4\/2 - 40*b**3\/3 - 105. What is the third derivative of z(v) wrt v?\nAnswer: -24*v + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33313010333 - -11?\nAnswer: 33313011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474529476?\nAnswer: 2, 3, 39544123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01107 times 0.4?\nAnswer: -0.004428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/8, 0.0432?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) 0.07 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) - 70\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-88)*2\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(5\/(-50)). Let a(v) = 4*v**2 - 7*v + 7. Let c(h) = -3*h + 3*h**2 + 5 - 3*h + h. Give j*a(n) - 7*c(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 5*b + 4*r, -r = 8 - 6. Let a = 25 + b. Solve -3*x - 5*z = -18, 2*x - a*x + 2*z = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:14 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*d - 4*j, -5*d - 42 + 17 = -7*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 5*a. Let u be g(5). Suppose -3*p = -u*p + 33. Calculate the common denominator of ((-1)\/2)\/(p\/(-50)) and -16\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 3. Suppose 2*x - 2*r = -10, 3*x - 2*x + 8 = 2*r. Let c be (2*o)\/(x\/(-4)). Solve -4*l + c*z = 0, 5*z - z - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5053 (base 6) to base 14.\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/2 - 87*a**2 + 2571*a\/2 - 1200.\nAnswer: 3*(a - 32)*(a - 25)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 7, z: 6}. Give prob of sequence aka.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.333 + -0.033. Let r be (-4 + 165\/35)*7. What is the nearest to -0.1 in b, r, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1305)\/348)\/(10\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 44 - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -2 - (-1 + 0). Let d(x) = 136*x**2 + 28*x + 46. Let q be d(-11). Let c(r) = -16209 + 0*r - r**3 - r + q. Calculate c(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000489486 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 17. Calculate u(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 16 = -4*x, -2*t - 8 = -5*t - 2*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47\/2211 - -254\/201. Let u = -8\/13 + 59\/117. Calculate the common denominator of l and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2178)*1*1)**2.\nAnswer: -132*sqrt(2) + 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22816, -48623, -77408, -109165, -143888, -181571?\n\"Answer: f**3 - 1495*f**2 - 21329*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)*2 - sqrt(70))\/((-1*sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(11)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 - (0 + 13\/(-16)) and -75\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtg when three letters picked without replacement from {d: 4, t: 1, v: 1, g: 5}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11.3 (b) -0.09 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 5 - l + 6*l.\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28751087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1986540 divided by -132436.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -1\/9, 0.07?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -334)*16\/(-4). Let f = 900 - r. Is 3 - (-2 + (f - 0)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 + 6*a + 2. Suppose -x + 3*x - 26 = 0. Calculate the remainder when b(-3) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/8464 or -1?\nAnswer: 9\/8464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -81. Suppose 0 = -2*t + t - 4*p - w, p = 4*t + 315. Let q = 81 + t. Solve -2 = -q*c + 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*p - 2 = 0, 3 + 10 = 3*s - 5*p. What is the hundreds digit of (s - (3 - 5) - -170)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*q + 60*q - 18. Suppose -11*x + p + 327 = -q*x, -x + 2*p + 69 = 0. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 3*q**2 + 2*q. Let h be x(1). Is -14 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 7. Let p(n) = -3 + 3 + 1 + 6 - 4. Calculate -9*p(j) - 4*u(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165157.5us in milliseconds?\nAnswer: 165.1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-84)*-2)\/(1\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*y + 26, 3*m = -5*y - 2 + 21. Suppose 6*z - 39 = -2*i + y*z, -z = 4*i - 75. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*u**2*z**2 + u**2*z - 2*u**2 - 195*z**2 wrt u.\nAnswer: -68*u*z**2 + 2*u*z - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 + 13 = 5*x, w = -4*x + 17. Let a be (102\/(-4) - -7) + (-2)\/(-4). Let r be a\/(-90)*(-35)\/(-1). Solve r = x*h - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1\/3 (b) -2\/47 (c) 1\/4 (d) -11\/2 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6338.106 tonnes?\nAnswer: 6338106000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323801?\nAnswer: 323801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -152334\/24155?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(5\/12) - 2. Suppose -o + 5*t + 14 = 4, -o + 4*t = -8. Sort o, x, -0.4.\nAnswer: -0.4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -0.2, -2\/9 in descending order.\nAnswer: 2, -0.2, -2\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*w = -x - 10, 2 = -x - w. Which is the third biggest value? (a) -9\/7 (b) x (c) 9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-9856)*208 - (-12)\/(-22)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = 2*n - 5, 41 = 5*i - 4*n. Suppose 0*v + 4*v - 40 = 4*g, i*g + 1 = -2*v. Suppose v = a - 0. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 283*z**5 - 8*z**2 + 56*z - 16. Let m(k) = 94*k**5 - 3*k**2 + 19*k - 6. Let r(x) = -3*l(x) + 8*m(x). What is the second derivative of r(v) wrt v?\nAnswer: -1940*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71, -2, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33847275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 - 91. What is the remainder when h is divided by (8\/10)\/((-18)\/(-90)) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337, -11454, 4 in ascending order.\nAnswer: -11454, 4, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = 5*s - 4, -5*s - 5*m = 10. Suppose k + s = 7. Suppose -37 = k*a - 185. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346.861 - -347. Let c = -5.839 + p. Let q = -5.70000295 - c. Round q to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z - 5. Let n be m(4). Calculate the highest common factor of n and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 - 1281205*p - 1281200 = 0 for p.\nAnswer: -256240, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 = 13*q + 113. Calculate the remainder when 147 is divided by q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -999246*y**2 + 299967*y wrt y.\nAnswer: -1998492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2728447731814+-1\nAnswer: -2728447731815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/6*d**4 + 0*d**3 + 0 - 1\/60*d**5 + 0*d - 10*d**2. Determine k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/5 (c) -4\/595 (d) -2 (e) 2\/9 (f) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024 less than -1.1?\nAnswer: -1.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {x: 2, y: 1, u: 2, v: 2, s: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffo when three letters picked without replacement from foaabaaaffq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {h: 1, f: 1, x: 1, d: 2, b: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjajzaaa. Give prob of sequence aza.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 1.6. Which is the nearest to q? (a) 5 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55119 is divided by 125.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(69\/46*2\/6). List the prime factors of (9 + -8)\/(x\/3224).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 39. Calculate the smallest common multiple of w(0) and 15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829890.\nAnswer: 2, 3, 5, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8ca56 - c?\nAnswer: -8ca65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**2*i*q**2 + 5803*g**2*i*q - 2*g**2*i - 5*g*i*q**2 + 5*g*i*q - 1980*i*q**3 wrt q?\nAnswer: 18*g**2*i - 10*g*i - 11880*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3424 or 3428?\nAnswer: 3424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/33 + ((-120)\/66)\/10. Suppose -8*l + 7 = 39. What is the third biggest value in -28, a, l?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 14*q**2 + 64*q - 140. Let o be t(-18). Put o, 3, 16, -3 in decreasing order.\nAnswer: 16, o, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 4. Let n(t) = t. Give m(i) + 2*n(i).\nAnswer: 4*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-47)*(t**0\/t)**(-13) assuming t is positive.\nAnswer: t**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/1125 and -64\/1209?\nAnswer: 453375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 158 - 170, -4*m = y - 7902. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 90*b - 2253. What is g(25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 + 8*u**2 - 3*u + 19. Let m(z) = 2*z**3 + 5*z**2 - 3*z + 13. Let k(o) = -7*f(o) + 11*m(o). Give k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = -2*n - 93. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-5)\/l*l)\/(l*l*l*(l**(-4\/7)*l)\/l*l))\/(l**(-4)\/l**(-5)))**(-2\/13) assuming l is positive.\nAnswer: l**(132\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 736961694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 6*r - 1. Let q(a) = -6*a**3 + 17*a + 3. What is 4*q(l) + 11*u(l)?\nAnswer: -2*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106306 or -106302?\nAnswer: -106306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686738?\nAnswer: 2, 13, 61, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1492\/7 (b) -1\/8 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 11*g + 3. Give p(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 26*r**2 + 24*r + 46. Let h be x(25). What is the highest common divisor of 609 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 342 + s**3 + s + 3*s**2 + 268 + 26*s**4 - 27*s**4 - 485 to the form m*s**4 + l*s**3 + y*s**2 + w + i*s and give w.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10.1, 34, -0.5?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/2)\/m*(m*m\/(m\/m**(1\/4)))\/m)\/(m**(2\/29)*((m*(m\/m**(2\/19))\/m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(-2675\/2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 g, and 1 a when four letters picked without replacement from naggcyncncncgngc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249\/21 + 1 + (-78)\/(-546).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -124. Which is the biggest value? (a) 0 (b) q (c) -2\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -11) + (3 - 6) - (9 - 18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 73 = 235. Solve 12*g + o = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 - 3*k**2 + 2*k**2 - 7*k**2. Let l(b) = -3*b**2 + 5*b**2 + 0*b**2. What is l(p(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 127437 and 127440 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5405679 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: Find the third derivative of 2269*r*s**3*z**2 + r*s**2*z**2 - 8*r*s**2*z + r*s**2 + 3*r*z + s**3*z**3 - s**2*z**3 wrt s.\nAnswer: 13614*r*z**2 + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*p + 428*p = 6, 51 = 5*l - 4*p. Suppose -4*d = -2*o - 46, 5*d + 3*o - 46 - 28 = 0. Let m = d - 9. Sort m, -4, l, -2 in ascending order.\nAnswer: -4, -2, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 13181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19214 is divided by 300?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 0. Let v be (-13)\/2 + 2\/(-4). Let m = -11 - v. Put m, 4, r in decreasing order.\nAnswer: 4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 33 = g, 0*c = -g - c + 23. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2 + 0 - w + 1. Suppose 8 = 29*a - 34*a + 3. Let i(k) = k**2 - 12*k + 2. Let s(o) = a*i(o) + 6*u(o). Factor s(t).\nAnswer: -(t - 4)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.8 in 4\/5, 3, -4, -3\/8, -6\/37?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/40 and 37\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 217779*b**2 + b - 6. Let u be p(3). Suppose -u = 4*g - 2*c, -c + 62937 - 2512933 = 5*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**3 + 87*r**2 + 25*r + 19. Let j be h(9). Put 130, -5, j in increasing order.\nAnswer: -5, j, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68738*r**2*u**2 + 8*r + u**2 + 6*u - 131 wrt r?\nAnswer: 137476*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1851259 millennia?\nAnswer: 2221.5108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 313381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13030102 (base 4) in base 16?\nAnswer: 7312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(53\/954)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 50 = -4*k + 9*k, 5*j + k + 98 = 0. Let i be (2 - (-15)\/(-5))*j\/(-2). Let g = 14 + i. Solve 6*v = 2*v - g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**3\/18 - j**2\/3 + 2*j\/3 - 10. Factor i(m).\nAnswer: (m - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j + 2. Let c be o(-2). Suppose 126 = 2*k - c*k. Let y = -14 + k. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/5*t**2 - 114\/5*t.\nAnswer: -t*(t + 114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 37 + 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2035, 3873, 5711?\nAnswer: 7549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 68 - 76 + 0*k)*(-1 - 1 - 1) as n + j*k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421 + -760. Which is bigger: v or -338?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 + n + 5. Let u be p(-7). Let v be u\/(-2)*(-2)\/12. Let a = -466.6 - -466.1. Put v, 1, a in decreasing order.\nAnswer: 1, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197061\/890 + -1107\/5. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, c: 4, v: 4}. Give prob of sequence ccvc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168958*j**3*v**3 + 629*j**3*v**2 + 2*j**3*v + 23*j*v**2 wrt v?\nAnswer: 1013748*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 100 = -3*d, -5*d + 2*l + 3*l + 180 = 0. Let w be (d\/6)\/(20\/12 + -1). Solve 4*p = 2*v + w, p = v - 0*p + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36209046 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 40, 131, 312, 613, 1064, 1695?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/148449706 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) + (-2)\/(-4). Suppose -2*v + 0*v + 18 = s. Solve -2*p + 15 = 5*q - v, -22 = -3*q - 5*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1180 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**4 + p. Let f(u) = 74*u**5 + 7*u**4 - 90*u. Let z(q) = 2*f(q) - 14*h(q). What is the second derivative of z(s) wrt s?\nAnswer: 2960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*a - 60 = -2*a, 3*k - 2*a = 37. Solve 5 = 4*i - k*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m**(2\/7)*m))**(2\/45)\/((m*m**(6\/13)\/m*m)\/((m\/(m*m\/m**(2\/5)*m))\/m))**(-37) assuming m is positive.\nAnswer: m**(13670\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11116298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -k - 29, -4*k - 3*r + 17 = 88. Is 210 + 12*7\/k a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -22174*d + 376979. Calculate w(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a48 - 5819?\nAnswer: -9766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4822.562nm to meters.\nAnswer: 0.000004822562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 4*n**4 + n**4 + (0 + 0 + n**2)*(2*n**2 - 2*n**2 + 2*n**2) + 19*n**4 - 4*n**4 - 4*n**4 + (0 + 0 - n**2)*(2*n**2 - 3*n**2 - n**2).\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*t + 107 + 263, 5*r + 4*t = -367. Let q = r - -108. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 7360145 = -7363820 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.16051 nanometers in micrometers?\nAnswer: 0.00816051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from nzzoziznizzn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*2*6)**2 - (-2 + (1 + sqrt(1872))**2)) + (((2*sqrt(1872) - sqrt(1872))*3 + sqrt(1872))*-3)**2.\nAnswer: -24*sqrt(13) + 537265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 19312?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = -4*p + 2*l, 2*p = -2*l + 26. Let u = 19 - 16. Suppose -6*z + u*z = 2*r - 52, -r = -5*z + 78. What is the least common multiple of z and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -68. Suppose 5*z - 80 = -5*s, 3*s - y*z - 11 = 25. Calculate the remainder when s is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + o**3 + 2 - 6*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1b4 (base 16) to base 9\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h\/h**1))*h)**(-1\/6)\/(h*h**(-2\/3)*h*h*h**1) assuming h is positive.\nAnswer: h**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203c0 (base 16) to base 7.\nAnswer: -1056635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11443, 22300, 33157, 44014, 54871, 65728?\nAnswer: 76585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96671541 to the power of 1\/3, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*t**5 + 6187*t**2 - 6437*t**2 - 456*t**5 wrt t.\nAnswer: -43800*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8862b - 15db?\nAnswer: 87030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/3 + 228\/(-6). Let t be 38\/8 + (-9)\/z. Suppose -2*w = 5*o + 1 - 7, t*w - 30 = -5*o. Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 2*u)*(19*u - 3 + 12*u - 29*u)*(-u**2 - 6*u**2 - 3*u**2).\nAnswer: -40*u**4 + 60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -72.94. Let b = 4.06 + k. What is the third biggest value in -2, 1\/3, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3295871 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000123414 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a + 3. Let z(t) = -105*t - 41. Let b(m) = -1. Let u(v) = b(v) - z(v). Suppose -4*s + 2*x = 150, -6*s - 3*x = -5*s + 55. Determine s*n(p) + 3*u(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 290987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*50.1849.\nAnswer: 25.09245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20002 + -203?\nAnswer: 14244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 - -215. Calculate the remainder when 46 + 1 + (1 - -1) is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1836814801, -1836814802, -1836814803, -1836814804?\n\"Answer: -m - 1836814800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -18. Let i = r + 7. Suppose 3 = 2*p + 2*p - 5*a, 0 = 3*p + a - 26. What is the remainder when i is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241123 (base 6) in base 14?\nAnswer: -7923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 3.2. Which is the smallest value? (a) f (b) -0.1 (c) -0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + 1 - 1)*(-3*n - 2 + 2*n - 2 + (-5 + 22 + 19)*(2*n - 3*n - n))*(-5 - 3 + 1) in the form h + c*n**2 + r*n**3 + a*n and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-198)*-276*(-100)\/64400.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.274, 3, -2, 0.3, -4.\nAnswer: -4, -2, 0.2, 0.274, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:24 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 18*l**2 - 62*l - 10. Let c be u(5). Let j(g) = -3 + 3*g**3 + 9*g**2 - 1 - 5*g**3 + 6*g. What is the lowest common multiple of 22 and j(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 980609 divided by 19\nAnswer: 51611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/3, 0, 29?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -867?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*j + 70*j + 35 = 0. Let b be -3 - (2 - (j + 11)). Let f(s) = s**3 - 6*s**2 - 3*s - 6. Let r(t) = -t**2 - 1. Give b*f(z) - 6*r(z).\nAnswer: z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223084 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 4:25 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 16*j - 37. Calculate r(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.954 and 209.\nAnswer: -199.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91500475 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/14 and 22\/157.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.22504 rounded to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1792975099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 7. Let f(s) = -40*s + 758. Let r be f(19). Give c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 - 22*h - 23. Let y be t(-5). Differentiate 570 - 245 + 51*p**2 + p - y - p with respect to p.\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -624, -1405, -2498, -3903, -5620?\nAnswer: -7649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201111 - 10?\nAnswer: 1201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8528*k**2*w**2 + 2*k**2 - 230*k*w**2 + 122*k wrt k?\nAnswer: -17056*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -519, -1429, -2337, -3243, -4147, -5049, -5949?\nAnswer: -6847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 16155780?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -5*y**3\/6 - y**2\/2 + 4*y. Let l(s) = 11*s + 1. Let k(r) = 10*j(r) + 4*l(r). Differentiate k(a) with respect to a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -13*b + 42. Find the first derivative of 3*u**3 + 7*u**3 - 7*u**b - 6*u**3 - 13 wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-1 - 0) + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 47 + 13. Suppose -27 = -2*d + u. Suppose -7 = -b + 1. What is the remainder when d is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and -17\/1003846.\nAnswer: 1003846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -2. Suppose 1103 = -s*o - 717. What is o rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (3 - 1) + 20 - (1 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*t - 7*t**2 + 198*t - 455*t.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28377 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 10. Let m be k\/6 + 8\/24. Solve -m = -3*c - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcokfcccc. Give prob of picking 1 k and 1 c.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 4*p**2 + 3*p**2 + (2*p + 0*p + 0*p)*(-2*p + 3*p - 2*p) - 2*p - 2*p**2 + 2*p + 0*p + 0*p + 2*p**2 + (5*p - 6*p - 9*p)*(6*p - 4*p - 5*p).\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 2*n)*((-n - 4*n + 6*n)*(1 - 1 + 2) + (18 + 14 - 39)*(4*n - 3*n - 3*n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -6*a - 25. Suppose c - 14 = 3*g - 13, a*g - 3 = 0. Put -16, c, -5, -1 in descending order.\nAnswer: c, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**5\/20 - x**4\/2 + x**3\/6 - 3*x**2\/2 + 11*x - 2. Let m(h) be the first derivative of q(h). Give m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 14*u**2. Let o(h) = 6*h + 128. What is o(m(a))?\nAnswer: 84*a**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/4 + 34*c**3\/3 - 36*c**2 + 13*c - 2113. Determine a(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*j + 19*j - 115*j + 42*j to the form g*j + t and give g.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23004 (base 5) to base 8.\nAnswer: -3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 13) in base 8?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 2133*w + 1958*w.\nAnswer: -175*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**3 - h**2 + 2*h**4 - 31 - 16*h**3 + 32 in the form o*h**3 + p + b*h + i*h**4 + y*h**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11836.9048709 from 0.4.\nAnswer: -11836.5048709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100023 + -113?\nAnswer: -100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*u = f - 270, -4*f + 355 = 5*u. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5109762053?\nAnswer: 11, 3137, 148079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 49818734543341.\nAnswer: 49818734543340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*o - 19339 - 1910, 4*o - 3*s = 17002. What is the greatest common factor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16585782 is divided by 3084.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d + -3?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 - 262*c**2\/5 + 16896*c\/5 + 34848\/5.\nAnswer: (c - 132)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 384288581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40416?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 33 + z - 33.\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x - 2. What is u(-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.059959 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7*v**7)**20 assuming v is positive.\nAnswer: v**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 - -122. Let s = -54 - k. Solve s = -7*l + 2*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 341*w + 2391. Let p be r(-7). Let v be ((-6)\/(-4))\/((-12)\/24). Sort 3, p, v.\nAnswer: v, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-11))\/(-525 - -616)?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -0.17.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10776603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(9\/(-45))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743904 is divided by 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.097\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 50\/250*(-5)\/7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (-6 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -5, -3, -1 in increasing order.\nAnswer: -5, -3, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 17*b - 10. Let c(q) be the second derivative of -q**5\/20 - q**2 - q. Does 3 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 999307.2l?\nAnswer: 999307200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*((-12)\/(-9) - 2). Let u(x) = x**2 + 4*x + 4. What are the prime factors of u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 + 67185*a**3 + 537720*a**2 + 1075600*a = 0.\nAnswer: -4, 0, 13445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 2*p - 7. Let n be b(6). Suppose n*w - 6 = 2*w. Solve 2*o - o**2 - 2 + w*o**2 + 0*o - 3*o = 0 for o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/10 - 183293*o\/10 + 6703517 = 0. Calculate o.\nAnswer: -183658, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in -3, -0.1, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1726 + -132562?\nAnswer: -134510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000451096 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**2 + 10*r\/3 - 28\/3.\nAnswer: 2*(r - 1)*(9*r + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -0.3 (c) -0.1 (d) -4\/93 (e) 0 (f) -0.07 (g) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(33)\/(sqrt(24)\/sqrt(2)))**2 - ((-1*sqrt(396))\/sqrt(9))\/(2*sqrt(144)).\nAnswer: sqrt(11)\/12 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 15 = 11*f. Suppose 5*u + f*u = 10. Does 21 divide (-8)\/(40\/(-45))*(u + 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 26.9. Let p = -1.2 - b. Let u = 5.417 + -6.917. Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adj when three letters picked without replacement from {q: 2, j: 2, a: 2, y: 7, d: 1, w: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/2*(-1)\/(-20)*8476\/163.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1363, 1355, 1345, 1333, 1319, 1303?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 15 = 20*y, 5*y + 766 = 3*s. Calculate the greatest common divisor of 182 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45009255?\nAnswer: 3, 5, 3000617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 + 87*f + 8. Let c(w) = -w**3 - 7*w**2 + 110*w + 9. Let u(y) = 3*c(y) - 4*i(y). Let z(o) = -2*o**2 + 9*o + 3. What is -3*u(g) - 5*z(g)?\nAnswer: -3*g**3 + g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -205. Solve 3 = -u - q, 2*u = 5*a - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540727672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/114*1024 + 6\/(-57). Let b(j) = -57*j. Let x(u) = -2*u. What is r*x(f) + 2*b(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a\/a**(4\/13))\/a*a**20*a assuming a is positive.\nAnswer: a**(295\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (385\/125 + -3)\/(8\/10). Let f(b) be the second derivative of -q*b**6 + 0*b**5 - b - 3\/2*b**2 + 0 + 0*b**3 + 0*b**4. Differentiate f(x) wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(20)\/(-3*sqrt(2))))\/((sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(405) + -1*sqrt(405))))) + sqrt(5) + (sqrt(60) + sqrt(15))\/sqrt(3))*6.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386732.\nAnswer: 2, 109, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - d**4 - d**5 + (2*d - 2*d**4 - 2*d)*(-7*d - 60*d + d).\nAnswer: 131*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = 44. Let g = -15 - y. Solve -9 = 4*j - g*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 24419 = -24423 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -1 (c) 5 (d) -1.1 (e) -3\/4 (f) 3604\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 2. Let m be y(0). Let f(p) = -p**2 - 4*p - 2. Let d be f(m). What is the units digit of (2 + -1)\/(d\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*d = 25, 5*d - 21 - 4 = 0. Solve 0 = -2*a - 3*z + 2, a - 2 + 10 = u*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-6*((sqrt(70) - sqrt(70)*-2) + sqrt(70))*-1)\/(sqrt(10)*-2*-4 - sqrt(10) - (sqrt(10) + sqrt(160) - sqrt(10))*6))**2.\nAnswer: 4321\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8.9. Let f = 1 + k. Let h = -34 - -39. What is the second biggest value in h, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3 - k**3 - 6*k + 2*k**3 - 7*k**2 - 2*k**3. Let c be (-2)\/(3\/((-9)\/6)). Suppose 5*v = -c - 29. Give u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4245*o + 113. Is m(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 166*a + 1051. Give t(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3819*x**3 + 3819*x**3 - 205*x**4 + 0*x**3 + 0*x**3 - x**4 + x**4 + 0*x**4 + 0*x**4 + (-1 - 2*x + 1)*(-x**3 + 0*x + 0*x) - 2*x**2 + 2*x**2 + x**4.\nAnswer: -202*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 7*a + 1. Suppose -2*d + 6 = 2*o, 6*o - 2*d - 36 = 2*o. Let t be x(o). Is -2\/5 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609.4168l to millilitres.\nAnswer: 609416.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177096?\nAnswer: 2, 3, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40216 + -40196. What is the highest common divisor of n and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95436 rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-18 + 12 - 0). Which is greater: y or -38?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367 - 55 + 27 + 353 - c.\nAnswer: -c + 692","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 15 = k, 7*k + 45 = 2*k + 4*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -419600 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 7. Suppose -h - m = -6. Which is smaller: h or 3\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 759125586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = 55. Let b(h) = -h**3 - 10*h**2 + 10*h. What is the tens digit of b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/4*108\/45. Let c = 6 - q. Suppose 3*f - 13 - 2 = c. Solve -10 - 5 = f*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, 134, 416, 846, 1430, 2174, 3084, 4166?\n\"Answer: o**3 + 65*o**2 - 62*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0*j**5 + 0 + j + 1\/5*j**6 + 0*j**3 + 5*j**2 + 0*j**4. What is the first derivative of a(p) wrt p?\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10846 divided by -638?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4622 divided by -5.\nAnswer: 4622\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37397831 at least 37397831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d - 2. Suppose 11*h - 9*h = 0. Let y be u(h). What is the tens digit of 3\/(y + 190\/92)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, x: 1, j: 1, u: 4, m: 4}. What is prob of picking 1 m and 3 g?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.8 + 25.1. Put y, -17, 6 in ascending order.\nAnswer: -17, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31371 is divided by 114?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3715 - 1515. What is f rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 85958028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -726, 4, 1, -3, 5 in descending order.\nAnswer: 5, 4, 1, -3, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2532 (base 7) to base 14.\nAnswer: -4c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708410 is divided by 50599.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*sqrt(132)*-2 - sqrt(132)))\/((sqrt(132)*-2 - sqrt(132))\/sqrt(11) + -1*(sqrt(192) + sqrt(12))).\nAnswer: -13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1024 (c) -2\/9 (d) -2 (e) -2\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -40.3. Let a = m - -0.3. Put -0.2, 0, 2\/13, a in descending order.\nAnswer: a, 2\/13, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(363) + 1)*-6 - 1*(2 + sqrt(363) + -1))**2.\nAnswer: 7942*sqrt(3) + 131404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 7*s + 4. Let y(q) = -q**2 - 1. Let d(l) = -2*l**2 + 9*l + 15. Let i be d(6). Let r(b) = i*y(b) - h(b). Calculate r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/25)*y*y**(-6)*y**(-9\/4)\/(y\/(y*y\/(y*y**(-37))*y)) assuming y is positive.\nAnswer: y**(3059\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19864, 79466, 178802, 317872?\nAnswer: 496676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21074 - -809?\nAnswer: -20568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -10*j + 2*m, 59 = -j + 73*m - 69*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from kxxkzkzk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 544 - 542. What is the second derivative of -37*j + 4951*j**2 + 1 - 38*j**3 - 89*j**3 - 4951*j**c wrt j?\nAnswer: -762*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2) + 1 - (-8)\/(-16). Let t = 0.15 + 1.05. Which is the second biggest value? (a) 3\/2 (b) i (c) t (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 67\/4 of a millennium?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -17*j - 45. Let z be (-1)\/(-12)*-2 + 444\/72. Calculate the highest common factor of z and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/6 + 4\/(-32)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103622 and 6312.\nAnswer: 1243464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 740 by -370.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15 - (15 + 9 + -13). What is the second biggest value in -18, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:39 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/10 - (3 + (-441)\/140)\/((-58)\/(-232))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 106?\nAnswer: 105.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q + 101 - 44*q - 56*q.\nAnswer: -75*q + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*a + 30, -3*i + 2*i + 15 = -4*a. Suppose i*d - 4*d = 665. Suppose -4*r + d = 3*l, 2*l - 2*r = 3*r + 94. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 3\/46, -3.1, -89\/5, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -103*f + 1. Let h(v) = 216*v - 3. Calculate 13*g(j) + 6*h(j).\nAnswer: -43*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-3)\/(180\/(-52)). Let f = -1101 + 1097. What is the nearest to 2 in 2\/5, m, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13561.\nAnswer: 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 13*p + 3. Let y be b(-6). Let k(g) = -g**2 - 2*g + 2. Determine k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 7*b**2 + b + 9. Let l = -14 - -7. Let t be h(l). Solve 4*v - 3*v + t = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqqrqjoqyyqy. What is prob of picking 2 y, 1 q, and 1 r?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l**3 - 4*l**2 - 2*l - 174. Let v(b) = -16*b**3 - 5*b**2 - 2*b - 173. What is 4*v(k) - 5*z(k)?\nAnswer: k**3 + 2*k + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 123*p**2 - 540*p.\nAnswer: -3*p*(p + 5)*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 3:14 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.13 + -1.53. Put b, 4, -4 in decreasing order.\nAnswer: 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1782998 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Calculate 1\/(-7*(-5)\/(-140)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i - 8. Let h be f(-7). What is the highest common factor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -102 + d?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 2*r - 12, -5*w + r = 16 + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 9*y + 18. Let s be u(7). Let b(k) = k - s*k + 2*k. Calculate b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3\/2 + 12*j**2 + 3*j\/2 - 63 = 0. Calculate j.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165 - -231. Let m(y) = 5*y**2 + 3*y - 31. Suppose -5*i - 109 = -74. Calculate the remainder when m(i) is divided by t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -11375.\nAnswer: -11380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q + 36. Let h = 8 - -3. Let n = h - 11. Solve 3*l - q = -n*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220110 (base 3) in base 7?\nAnswer: -1632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9020)\/6)\/82*((-140)\/77)\/5.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, -9, -3\/11, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + q = -2*q + 135, -2*n + 86 = -2*q. Suppose -5*d + 20 = 5*s, -3*d - 2*d - n = -3*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 583 + -574. Suppose 3*i = k, 0 = 2*k - 0*k. Calculate the remainder when 17*1 - (2 + i) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2 - 35013926*n + 306493753483369 = 0. Calculate n.\nAnswer: 17506963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6552*o - 73*o**3 + 6552*o)*(34 - 34 - 354*o) to t*o + r*o**2 + d + j*o**4 + a*o**3 and give j.\nAnswer: 25842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -4, 2\/11, 0.3, 20939?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 + 3*i**2 + 6*i**2)*(-22*i + 0 - 8*i**2 + 1 + 6*i**2) to z*i + h*i**2 + g + b*i**3 + u*i**4 and give b.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 61, 180, 359, 604, 921, 1316?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9. Let a be -8 + (p - -8) - -12. Suppose -2*u + 0 = 4*l - 2, -31 = -2*l + 5*u. Solve 4*g - l = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(68))\/(sqrt(484)*-2) - (-6*sqrt(272)*-2 - ((sqrt(425) - ((-1 + sqrt(425))*1)**2) + sqrt(425))).\nAnswer: -426 - 613*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2614*220.2.\nAnswer: -575602.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 506 - 4552\/9. What is the nearest to a in 0.5, -5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-4)*(-24)\/42. Let p = c - -1. Let m = 9 - p. Solve -3*a = -2*w - m, a - 2*w = 2*w - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12948 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11222010 (base 3) in base 16?\nAnswer: e25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/25 - 7406*o**4\/5 + 4312306*o**3\/25 - 132005834*o**2\/25 + 341845644*o\/25 + 478200816\/25 = 0 for o.\nAnswer: -1, 4, 57, 18398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 9. Let p be l + 2 - (-4)\/2. Find the first derivative of -2 + p - 4*k - k + 1 wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 715. What are the prime factors of ((-12)\/5)\/(4*6\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/9 - 4526*j**4\/3 + 7688540*j**3\/3 - 69115412*j**2\/9 + 7676474*j - 2558322.\nAnswer: 2*(j - 3393)**2*(j - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4163 + (-6)\/(-2) + -6. Let k = 4640 + r. What is k rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*sqrt(1377)*4 - sqrt(1377)) + -1 + sqrt(1377) + 5.\nAnswer: 8 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*f + 200 = 0, 68 = -7*j - 7*f - 212 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(1089) + sqrt(9)) - (3 + 1 + sqrt(3)) - ((sqrt(9)\/(sqrt(24)\/sqrt(8) + sqrt(3)))**2 + sqrt(3) + -4 + -2).\nAnswer: -23*sqrt(3)\/12 + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2 + 0*g + g - 2. Let m be a(6). Suppose n = -4*r + 7, m*r = -0*n - 2*n - 4. Solve -v = -0 - r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -20 + 18 + 1 - (-1 + 0 + 0). Let p = -3 - -6. Solve x*c = -4*l + 3*c, c = -p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-24)\/135) + 2\/9\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -66 + 70 + -43 + 145.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 39*b**5\/5 - b**4\/2 - 400*b**3\/3 - 528. What is the third derivative of s(c) wrt c?\nAnswer: 936*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -9*q + 93. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17933805 and 114776352.\nAnswer: 573881760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - -13. Let r = 14 - z. What is the units digit of ((-37)\/3)\/(4\/r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -126. What is the closest to -3\/7 in z, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + v - 18 = 0, -2*v = b - 0*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 14. Let r(y) = s*y + 23*y - 30*y + 13*y. Let w(n) = 2*n. Give w(r(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 + -2 - (22 + -21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1, 44, 1\/9, 4, 8.1, -1.5, -47?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 440540031 + 5?\nAnswer: 440540040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 188.43238 to the nearest integer.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(7) - -1*sqrt(1008))**2 - (-4 + sqrt(28)\/sqrt(4) - (-2 + sqrt(28)\/sqrt(4))**2).\nAnswer: 47*sqrt(7) + 1202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58693, 65761, 84949, 122317, 183925?\n\"Answer: 1010*k**3 - 2*k + 57685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192604\/23 - -8374. Which is the closest to -2? (a) x (b) -0.3 (c) -3 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 18 + 12. Suppose 5*t + 3018 - 22053 = 0. Is t\/y - (-2)\/(4\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/6)\/a*a*a*a**6*a*(a**0)**(-1\/31))**(7\/11) assuming a is positive.\nAnswer: a**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 4*v**5\/5 + v**3\/3 + 5*v**2\/2 + 29*v. What is the second derivative of z(y) wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u + 14. Let j(r) = -2*r - 1. What is -g(f) + j(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5. Let i(z) = z + 1. Let o(l) = c(l) - 2*i(l). Let a = -9 + 12. Let r be o(a). Let d(u) = -u + 1. Determine d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150211 is divided by 338?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1615100 and 484530.\nAnswer: 4845300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2. Let f(z) = 502584*z**2. What is a(f(j))?\nAnswer: 2020725416448*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1302 + 287. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 7. Let v = -5 - -10. Let h(k) = -k**3 + 4*k**2 + 6*k - 3. Let l be h(v). Solve o*j - 3*x + 17 = -8*x, 0 = 3*j - l*x - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/21*(78\/(-12) - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*-2 + 1. Let s be 30\/4*12\/18. Let d = s - 5. Solve 2 = 4*q + 4*u + 6, d = -c*q + u - 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f + 0*f)*(-f - 5*f + 7*f) + 4*f**2 + f**2 - 4*f**2 + (4*f - 3*f + 0*f)*(0*f + 3*f - f) - f**2 - f**2 + 0*f**2 - 82*f**2 + 2694 - 2694.\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 214*b**2 + 4*b - 7. Let x be k(3). Suppose 0 = 13*v - 1384 - x. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/8)\/(2\/(-8)). Find g such that -7*g**3 + 3*g**3 - 4*g**2 + 3*g**o + 5*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1071)\/98 + 11)*4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*a + 169*a - 81360 = 0. Round a to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1111358 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-76)\/(-228))\/(2\/(-4)). Which is the smallest value? (a) u (b) -1\/2 (c) 0.4 (d) 0.1 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1026085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 24133*t + 14. Let g be a(27). Solve 134784*k + g + 380*k**3 + 5062*k**2 + 5*k**4 + 2396*k + 5768*k**2 = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10140.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2238*w**2 + 1117*w**2 + 1112*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442071047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/2))**(-3\/22) assuming p is positive.\nAnswer: p**(-3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5902 - 99?\nAnswer: -6001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((14\/(-18))\/7). Solve -8*m + 1 = -v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15324, 14312, 12618, 10236, 7160, 3384, -1098?\n\"Answer: -j**3 - 335*j**2 + 15660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -343*i**2 + i + 5. Let g be y(1). Let c = g + 315. What is the third biggest value in 2, 5, -3\/4, c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-816) + 1837\/(-136) - (-18)\/(-48).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, e: 5, z: 1}. What is prob of sequence zve?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190115952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1412*b**2 - 2 - 7*b - 1419*b**2 + 4 as t*b**2 + x + s*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.951ml?\nAnswer: 0.000951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 2733200929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -0.08796.\nAnswer: 0.21204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -24. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*p = -164*p - 22479. Suppose -5*k + f + p = -722, -2*f - 10 = 0. List the prime factors of k.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 26 in decreasing order.\nAnswer: 26, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(7\/(-4)))\/(3 - 1). Which is the nearest to t? (a) -1\/4 (b) -0.05 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -6, 26, 86, 180?\n\"Answer: v**3 + 5*v**2 - 12*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -239 (c) 0.21 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4. Let s be 18\/6*(-1)\/w. Let t(c) be the second derivative of -c**4\/6 + c**3\/6 - c**2\/2 - 3*c - 11. Determine t(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 461*m**2 - 1823*m - 2285.\nAnswer: -(m - 457)*(m - 5)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 22*f = -238. Suppose 0 = -f*a + 48 + 139. Solve a = -8*u - 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 7 = -3*u, 0 = 4*u + 5*x + 27 + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)\/(y*y\/((y*y*y\/(y*y\/y**(-13))*y)\/y)*y*y))\/(y**4*y*y*y\/((y**0\/y)\/y)) assuming y is positive.\nAnswer: y**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:25 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*sqrt(133)*2)\/(-6*2*sqrt(567)).\nAnswer: -5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, k: 1, g: 1, c: 1}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -2.2. Let x = -1.8 + o. What is the third smallest value in 0.4, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211440131 (base 5) in base 6?\nAnswer: -31024321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 38. Let s be 1 - (-1)\/((-1)\/(-11)). Let i(a) = a**2 - 9*a - 16. Let h be i(s). Calculate the greatest common divisor of h and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91269*c**2 + 182539*c**2 - 91268*c**2 + 14*c.\nAnswer: 2*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 w when four letters picked without replacement from xxxwwxxxxxxxwxxwxxw?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (9 + -11 + -6 - (0 + -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 11*k - 5716 - 3584, 2*i = -10. What is the remainder when k is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 7*k**3\/6 + k**2\/2 + k. Suppose s + 105*x - 14 = 110*x, -s - 16 = 5*x. Calculate i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-50))\/((-18)\/(-20)) - (-244)\/(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7*h + 2 + 5*h - 37*h.\nAnswer: -25*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 821\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2766 + 1376. Let l = -19441\/14 - k. Calculate the common denominator of l and (-123 + 1)*4\/16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 33 = -10*w - 3*c, -w + 4 = c. Let m be 8\/(-24)*-45 - w. Solve z + 0*z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 6.42936.\nAnswer: -1.285872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 12a5?\nAnswer: -12aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 6*b + 59, -3*d - 3*b - 82 = -91. Suppose 2*n + 3 = n. Sort 3, n, d.\nAnswer: n, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3 - 3*b + 12*b - b**2 + 2. Let d be u(9). Solve 0*v = -5*v - d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-84)\/(-150))\/7)\/((-10)\/150).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227145315.\nAnswer: 3, 5, 137, 110533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5949 - -13280. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6862 and 4672?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 h when four letters picked without replacement from hhhhlllhlhlh.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -10 (b) -263 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.017, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/105*6\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 255?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/11 and 25\/14831.\nAnswer: 163141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 23*n**2 - 95*n - 2. Let v be h(-7). What is the greatest common factor of v and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1, -2549, 0.17, -1.4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 570439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*h**5 - 9*h**3 + 124*h**2 wrt h.\nAnswer: 2580*h**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4 + 3*l**2 + 15580*l + 4*l**2 - 15576*l. Let s = 15 - 19. Let w(o) = 6*o**2 + 3*o + 3. Determine s*w(v) + 3*r(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2, 0.2, -3 in decreasing order.\nAnswer: 0.2, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 3*i**5\/4 - i**4\/12 - i. Let v be n(1). Calculate the greatest common factor of v and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.659610574 - 0.120509326. Let r = k - -19.78. What is r rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - -6) + -6)\/(8\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -19.\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737*n = -753*n. Solve t = 5*t + 2*i + 2, -4*i + 20 = n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 3171784?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519742.7ml to litres.\nAnswer: 519.7427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15220\/59 + 258. Which is the biggest value? (a) 4 (b) s (c) 5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 3*k - 13*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1592*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2855*j + 6070 + 100277 = -13563 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.84 + -28. Let w = j - -1.027. What is w rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*(-36)\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -65. Suppose -5*y + 117 = 4*k, -2*k + 5*y + w = -4. Let n(t) = -t**2 + 27*t + 54. List the prime factors of n(k).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1429582633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2089 - 1731 = -16*i - 278*i - 586 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -1. Let u = 8 - h. Suppose u*o = -4*y + 64996, -y - 13003 = -o + 2*y. What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277 + -736. Suppose -t - 109 = 541. Let a = u - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 16*j**2 + 58*j + 12. Determine r(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. What is the second derivative of 5*t + 0*t + 3*t**f - 4*t**2 - t**2 wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/141, 11, -12?\nAnswer: 4\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48539461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -l - 177, 0 = 1728*l - 1731*l - 18. Let w be (5 + (-1)\/1)*57. Calculate the greatest common divisor of z and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**2 - 2272*t - 322624 = 0.\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 1 + 3 + 0*j. Let i(c) = -3*c - 2. Let m be 3\/((-1)\/12*-9). Give m*a(t) + 5*i(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 49 = -18*l - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -214932, -429864, -644796, -859728, -1074660?\n\"Answer: -214932*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 3:01 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -67498*f. Let w(h) = 617*h - 3. Give w(l(m)).\nAnswer: -41646266*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7456446341.\nAnswer: 71, 193, 263, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7392337 - 4456.\nAnswer: -7396793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.15668428 + -1.1568. Round u to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 3\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-18)*-20*6\/4. Suppose 5*n + 52 = 3*v, 3*v - i = 3*n + 29. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 135623 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - (-2 - -11) - -14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(170)*-5)\/(-4*sqrt(100)\/(sqrt(10)*-4)))**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = -14*c + 1296 + 11092. What is the remainder when c is divided by 95?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t**3 + 63*t**2 - 3*t - 10. Does 51 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 165 = -67, 87160 = 4*x + 3*h + 87186 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 25. Suppose -4*g - 4*f - 28 = 0, 5*f + 0 - 55 = 5*g. Which is greater: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 2 = -5*m + 11*z, 0 = -2*m - 4*z - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 36*a + 4. Let b be u(-11). Let h be (-1 + b\/(-25))\/((-10)\/(-100)). Determine f, given that -h*f + 4\/5 + f**3 - 7\/5*f**2 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36786, 37534, 38284, 39036, 39790, 40546, 41304?\n\"Answer: y**2 + 745*y + 36040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34545 - 331143?\nAnswer: -366021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1. Let r(s) = -2*s + 12. Let v be r(3). Calculate p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294 a factor of 22942710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -741\/17788?\nAnswer: -741\/17788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f + 20 = 0. Suppose -f*m + 16 = -4. Suppose -12*g = -9*g. Solve -q - m + 1 = g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u*u**(-3\/5))))\/u**(-9))**(-1\/55)*u\/u**(-2\/7)*u**(-2)*u*(u**0)**(-12) assuming u is positive.\nAnswer: u**(186\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5829996, 11659948, 17489900, 23319852?\nAnswer: 29149804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p + 1. Let n(h) = 5*h**3 - 3*h**2 + 3*h + 3. Let d be (-1)\/(-4)*(-11 + 7). What is d*n(c) + 3*l(c)?\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358400793 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 254, 455, 656?\n\"Answer: 201*b + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -c9593 (base 14) to base 15\nAnswer: -99382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 2. Let h(d) = 252*d**2 - 25764*d + 51530. What is the lowest common multiple of h(2) and x?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 4 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((79800\/171)\/(-70))\/(8\/(-36))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 33*d - 103. Let p = 260 - 253. What is the hundreds digit of h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84528 divided by -9?\nAnswer: 9392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 20 = 0. Suppose -s*g = g - 5. Let b = -16 - -15.7. What is the nearest to g in -0.1, b, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 83. Let y(o) = 10*o. Calculate y(b(c)).\nAnswer: -10*c**2 + 830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1)*(3*y**4 - y**4 + 0*y**4) - 3*y**5 + y**5 + y**5 - 12*y**5 - 6*y**5 - 5*y**5 + (-y**2 + y**2 + y**3)*(y**2 - 5*y**2 + 2*y**2).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = -23*q - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -21. Suppose -h - 13 = -l, -5*h - w = -3*l + 5. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -902*l - 1636*l + 751*l. Let q(w) = -4*w**2. What is m(q(h))?\nAnswer: 7148*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 286*h**2 - 4*h + 6. Let x(f) = 1453*f**2 - 22*f + 30. Let k(c) = 11*i(c) - 2*x(c). Let w(t) = -t**2. Determine k(w(l)).\nAnswer: 240*l**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 867 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5617161 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 2, r: 4, q: 1, y: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4308.66*1.02\nAnswer: 4394.8332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.06 + 0.56. What is the biggest value in -9, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 227*g**2 - 2078*g - 25278. What is t(-218)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 9*s + 1. Let a be y(7). Let r = 31 - a. Solve -3*k - p = -r, -3*k - 2*k + 3*p = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1445770 + 2880170 - 1434400 + 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 12\/9*-3. Suppose -3*q + z*q = 3*l + 9, -10 = 2*q. Suppose -3*p - 107 = -5*n, 0*n + l*p = n - 27. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148670, -609432, -1377368, -2452478, -3834762, -5524220, -7520852?\nAnswer: -9824658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541657?\nAnswer: 541657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021021 (base 5) to base 9.\nAnswer: -177837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 8*h**4 - 11*h**4 + 39*h**3)*(-16 + 2*h + 0 + 15).\nAnswer: -2*h**5 + 79*h**4 - 39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -43.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 9.19 (b) 2.9 (c) 21 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237926378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**2 + 17*j - j**2 - 36 - 2727*j**3 + 2728*j**3. Let l be k(-11). Solve 13 = -8*b - l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -40, -1\/2, 1\/7.\nAnswer: -40, -2, -1\/2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.423 - 2.4228917. Round l to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 6. Let i(p) = p + 5. Let n(x) = 3*i(x) + 2*m(x). Let l = 39 + -37. What is n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b. Let d(c) = c**2 + c + 13. Let v(j) = 589*j**2 + 403*j + 5239. Let z(a) = 806*d(a) - 2*v(a). Calculate z(y(o)).\nAnswer: -23808*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6\/5, 3, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2153 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67292950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-8344)\/(-98) - (-2 + (-30)\/(-14)) and 725.\nAnswer: 12325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, 1, -1.3, 0.5, 2\/273?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 6*s**5 - 20309*s**4 - 64357*s**3 - 50818*s**2 - 6776*s = 0.\nAnswer: -2, -1, -1\/6, 0, 3388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t\/t**1)*t)\/t)**(16\/3))**48 assuming t is positive.\nAnswer: t**512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10370, 29 in descending order.\nAnswer: 29, -4, -10370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 2. Let m be p(-2). Let o be (0\/m - -2) + -2. Suppose o = 4*h + h - 45. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5430?\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and -240.473.\nAnswer: -240.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5\/19 - 110*q**4\/19 - 596*q**3\/19 + 2360*q**2\/19 + 600*q\/19 - 2250\/19 = 0.\nAnswer: -15, -1, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123162013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u**4\/9 - 61730*u**3\/9 - 1967360*u**2\/9 - 4896910*u\/9 + 449384\/3 = 0 for u.\nAnswer: -29, -3, 1\/4, 7748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**3 + o**3 + 293*o**5 + 40636*o - 44075*o - o**3 wrt o.\nAnswer: 5860*o**3 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.0196 weeks in days?\nAnswer: 1330.1372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + x)*(-1 + 2*x**2 + 1) + x**3 - 2*x**3 + 3*x**3 + 664*x**3 - 376*x**3 + 2095*x**3.\nAnswer: 2381*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 + 36*o + 162 = 0. Calculate o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -1.28522?\nAnswer: 0.71478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18e5 - 5?\nAnswer: -18ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -599, -1207, -1815, -2423, -3031?\n\"Answer: -608*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 29*j**3 + 18*j**2 - 6*j - 1. Let h(y) = -30*y**3 - 15*y**2 + 5*y + 1. Let w(i) = -4*d(i) - 5*h(i). What is the remainder when w(1) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.4, 0, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/(-18)*-1*1*(-76)\/28.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354389007 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31311399 or 2?\nAnswer: 31311399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/21)\/((-34)\/102). Which is the smallest value? (a) x (b) -0.2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2*v**2 + v - 24*v**2 - 10*v**2 + 75*v**2 + (2*v - 4*v + 0*v)*(-v - 2 + 2) - 3*v + 3*v - 3*v**2 + 2*v - 2*v + v**2 as f + x*v**2 + a*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from rqzrrtktkktttztz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 733, 826, 929, 1048, 1189, 1358?\n\"Answer: p**3 - p**2 + 89*p + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(-2 + 2*d + 2) - d - 5*d + 0*d in the form x*d + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 0.5.\nAnswer: 0, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9364.947 weeks to hours.\nAnswer: 1573311.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-546)*39\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14844 + -29019\/2. Let d = 312 - n. Calculate the common denominator of -99\/4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5 + 6*t**2 + 3*t**3 + 2*t**3 + 2*t**3 - 4*t**3. Let d(q) = 8*q**3 + 17*q**2 + 14. Let h(y) = -6*d(y) + 17*z(y). Differentiate h(k) with respect to k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -137. Let s = v + 64.1. What is the nearest to 17 in 0.2, -3\/7, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 633 and 15.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 6)*(4*c**2 - 3*c**2 - 2*c**2).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/13 - 38*o\/13 + 68\/13 = 0 for o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 200*t**2 + 18221*t - 810. Determine a(-268).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149315 is divided by 114.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*j**2\/2 - 480*j - 153\/2.\nAnswer: 3*(j - 17)*(19*j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52969.95 years in millennia?\nAnswer: 52.96995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 0*(-1)\/4. Suppose -4*l = -2*z + 24, 11 - q = 4*z + 2*l. Let p = z - 5. What is the second biggest value in p, 4\/23, 1\/2?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9164 - -13635. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + a)*(2 - 5 + 7)*(48 - 59 + 28) to the form c*a + b and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -g + 5*c + 4331 - 4426, g + 2*c = 53 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/3 + -4)\/(68 + -66)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**2 + o + 1. Let d(b) = 10*b**2 - 2*b - 1. Let l(u) = -5*d(u) - 7*g(u). Let q(z) = -2*z**2 + 5*z - 3. Calculate 5*l(i) - 3*q(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.082, 3, -111 in decreasing order.\nAnswer: 3, -0.082, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11638*p - 6841. Let s(q) = -23277*q - 13710. Let w(f) = 4*s(f) - 9*z(f). What is the first derivative of w(g) wrt g?\nAnswer: 11634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608 and 3718896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 735.\nAnswer: 1, 3, 735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39\/11, -3\/256, -6 in descending order.\nAnswer: -3\/256, -39\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -551 - -1860. What is the greatest common factor of t and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2319543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34\/15 - 8\/5. Let c be ((-1)\/8)\/((-20)\/(-8) + -3). What is the nearest to y in -3\/7, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 - 855*s**2 - 46120*s - 757020 = 0. Calculate s.\nAnswer: -74, -66, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 520\/493 + -34\/29. Let b = 0.42 - -0.93. Let u = b + -0.85. Put u, -0.3, 2\/3, a in ascending order.\nAnswer: -0.3, a, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 6:11 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 a factor of 958287768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 37*s**2 - 2*s + 1. What are the prime factors of o(2)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((-37)\/(-666))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13742 is divided by 13612?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*g = -2, -4*v - 3718*g + 3713*g - 32 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -501088 - 802.16?\nAnswer: -501890.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 149 + 144 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -0*m - 48. Let p(i) = -i**3 - 4*i**3 - 5*i + 2 + 7*i**2 + 4*i**3. Give p(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1471925 by 42055.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q, -108*u + 4*q - 4678 = -109*u. Is u a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Let d = 4.7 - s. Put -0.5, d, -3 in descending order.\nAnswer: d, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 + 34 = -4*o. Let f be (35\/(-15))\/(61\/(-2013)). Calculate the highest common factor of o and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.26 + -3.5. What is l rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1761979235 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 31 = 97 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*l - l. Let k(u) = 9 - 2 + 1 - 2 - 2 + 22*u. What is the tens digit of k(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 - 389*k + 53397. Determine r(-174).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1493 divided by 13.\nAnswer: 1493\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*j - 3592*j + 922*j + 893*j + 894*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:37 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13923 by -2081.\nAnswer: -13923\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.145 - 0.145. Sort -0.3, 5, -2\/7, p.\nAnswer: -0.3, -2\/7, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 19*j**3 - 5*j**2 + 6*j - 5. What is the remainder when f(2) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 3, -4, 1, -56995, 1\/3 in increasing order.\nAnswer: -56995, -5, -4, 1\/3, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 15 = 8*u. Let t be 14455\/15 - 2\/u. Let p = 11581\/12 - t. Find the common denominator of -53\/8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*y + 0*y - 51*y**3 - 3*y**4 + 50*y**3 + 62 wrt y?\nAnswer: -12*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454907 is divided by 14246.\nAnswer: 13281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 462\/(-78) - (11 + -20).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12 = -s, 2*x = 5*s - 9 - 27. Suppose -3*i + 1 = -8. Let u be (i\/(-2))\/(9\/(-24)). Solve -s = u*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -18. Suppose -13 = -4*o + 4*r - 5, 0 = -3*o - 3*r - 18. Let y = o + l. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101101200 + -20?\nAnswer: -101101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 13977?\nAnswer: 13979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 18 = 4*d - c, 0 = -c - 2. Suppose 13 = -d*h + 157. Calculate the remainder when 67 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = -3*u, 0 = 2*z - 5*z + u + 16. Let b be 9\/z + 6\/(-24). Suppose 0 = b*h - 15 + 3. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*o**4*v + 80*h*o**3*v + h*v + o**2*v - 5*o**2 - 23*o*v wrt o?\nAnswer: 72*h*o*v + 480*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8808 - 767?\nAnswer: -9575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154\/17 + 568\/119. Let y = 81\/14 + l. Is y bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -8*l + 142. Suppose l = b - 0*b - h, 50 = 4*b - 2*h. Solve -b = 2*g + 4*i, g - i = -2 - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s. Suppose s = 7*t - 2*t - 15. Solve 5*h - 10*h + 15 = 0, 0 = -5*p - t*h + 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 117\/(-18)) + (-28)\/16.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by (-328)\/(-16) + 2\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + n - 4*n. Let s(a) be the first derivative of 0*a**2 + 276 + 0*a - 5\/3*a**3. What is s(d(g))?\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 - -145.09. Let g = -5.09 + p. Which is the closest to 0.1? (a) g (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/8 - 2*v**3 + 3*v**2. List the prime factors of t(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5) + -5 - (-3)\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 115. Calculate c(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + (173 - 85) + (-2)\/1. Solve -i*s - 12 = -77*s - 5*h, -4*s = 3*h - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11 = -3*c, -16*o + 17*o = -c + 1. Let w be -38 + 36 + (1*-18)\/c. Let j be (2\/6)\/(1\/15). What is the highest common divisor of j and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01376 and -83233?\nAnswer: 83233.01376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*40\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - g)*(-3*g**3 - 3 + 3).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.477478nm?\nAnswer: 0.002477478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 - -316. Let t = q - 4318\/21. Calculate the common denominator of -76\/21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19822 is divided by 7585?\nAnswer: 4652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100020010 (base 3) to base 15.\nAnswer: -1ed6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - t**5 - 2*t**5 + (2 - t - 2)*(-15*t**2 + 15*t**2 + t**4).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43883901)\/(-21) + (-6)\/(-14). Is y\/240 - (2\/(-16))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*l = 140, -2 - 7 = -3*l. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 3*d**5\/20 + d**3\/3 - 109*d**2. Let o(x) = -x. What is o(l(b))?\nAnswer: -9*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 + 237 + 40*z.\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-14)\/(-4))\/(((-1890)\/(-15))\/(-18))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7 = 4*n, -5*n = 3*u - 27 + 41. Let x(g) = g - 18. Give x(n).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*g*j**4 - g*j**3 - 32*g*j + 7*j wrt j?\nAnswer: -624*g*j**2 - 6*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -105, -17, 245, 681?\n\"Answer: 87*u**2 - 173*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -79757, -79755, -79751, -79745?\n\"Answer: u**2 - u - 79757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -11*c**5\/5 - 17*c**3\/3 - 5. Find the third derivative of v(j) wrt j.\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147381?\nAnswer: 3, 13, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4353172 rounded to 3 dps?\nAnswer: -4.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 12*g + 2 = 0. Let n(h) = 7*h - 9. Let a be n(g). Suppose -a*f - 6*f + 1276 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 22. Which is the third smallest value? (a) q (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-3)*306\/(-119). Suppose -w + 9*w - v = 0. Calculate the greatest common factor of w and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-25)*(21*(-42)\/(-55566))\/(1\/6)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.555 times 0.5\nAnswer: 0.2775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12774198 and 2?\nAnswer: -25548396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160\/171 - 64192\/4275. Let p = m - -1791\/200. Calculate the common denominator of 69\/22 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 8*y**2 + 13*y + 18. What is h(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -524e (base 15) in base 10?\nAnswer: -17399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30653 - 4.\nAnswer: -30657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k. Let x be b(5). Suppose -2*n = 2*y + 9 + 27, -5*n - 30 = y. What is the tens digit of y*9*(-4)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293609036 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + p + 61, -8*h + 11*h + 2*p - 67 = 0. Let l be (-2 - (-12)\/3) + 0. Find the third derivative of -8*v**l - h + 21 + 9*v**4 wrt v.\nAnswer: 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9075259*y**3 + y**2 - 2424345*y?\nAnswer: -54451554*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 11:09 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -6*g - 490. Let i = g - 98. Suppose t - 10 + 4 = i. Solve -3*o + t = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Let g = -4 - b. Let o = g + 12.2. What is o rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*p + 834*p - 2376*p + 784*p = -8360 for p.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(27) + sqrt(108)))\/(sqrt(1296)*2).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - j. Let a be ((-56)\/(-32))\/((-3)\/(-12)). Let v(u) = u**3 + 6*u**2 - u. Let g be 9 - (10 - -1) - 4. What is a*v(m) + g*x(m)?\nAnswer: m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.4789cm in millimeters?\nAnswer: 7114.789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, -5, 7\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28786 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*f - 31. Let i = f - 0. Find the common denominator of 59\/10 and -13*(i\/3 + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3831036 and 5746554.\nAnswer: 11493108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 0)*36\/45. Suppose 0 = -2*b + b - 2. Is 19 a factor of z\/(b*4)*114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156 + 169 - 60)*(-3*r + 1 - 1)*(1 + 3 - 1).\nAnswer: -2385*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 692, 1039, 1384, 1727?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81219 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 5*z - 4*v + 32, 0 = 2*z + v + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1\/(-2)*(-32)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13300044 + 4?\nAnswer: 13300103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 4. What is the smallest common multiple of z and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((15 - 10) + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -43 (b) 18 (c) -0.4 (d) -3\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78243282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s + 1348 - 1348.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(297)*3 + (sqrt(33) + ((sqrt(198)*-2 - sqrt(198))\/sqrt(6) - sqrt(33)) - sqrt(33)))*6)\/(-6*-1*3*sqrt(1331)).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.93 (b) 61 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2007, 1631, 1005, 123, -1021?\n\"Answer: -w**3 - 119*w**2 - 12*w + 2139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4045?\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/45*3 - (-33)\/((-693)\/14). Determine t, given that 4\/9*t + d + 28\/9*t**3 - 2*t**2 + 4\/9*t**5 - 2*t**4 = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 divided by -4?\nAnswer: 179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16308 and 1020330?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-2))\/((-1)\/2*-1). Let z be 2\/(-10) + ((-16)\/n - 0). Solve z*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10383, -20107, -29815, -39495, -49135, -58723?\n\"Answer: 2*p**3 - 4*p**2 - 9726*p - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 200*c**3 - 289*c**2 - 19*c - 15*c.\nAnswer: -200*c**3 - 289*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 38. Sort 0.5, n, 0.3 in ascending order.\nAnswer: n, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 2*d + 2*d - 5*m, -m - 203 = -3*d. What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 1 + 276\/6. What is the highest common divisor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + sqrt(304))**2.\nAnswer: -32*sqrt(19) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692000538?\nAnswer: 2, 3, 17, 31, 218849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*q - 29, 12 = -4*q + 2*s + 14. Let m(c) = 2*c + 1. Let p be m(2). Suppose p*i = 2*i + 9. What is the smallest value in i, -1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 647 - t**3 - 676 - 2*t**3 + 4*t**3 + 2*t to s + u*t + c*t**2 + p*t**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48279 by -967.\nAnswer: -48279\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -51.477741.\nAnswer: -45.477741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 6, i: 10}. Give prob of picking 1 i, 1 p, and 1 k.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 79 - 279. What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-304)\/(-228) - (-7)\/(-4) and 77\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1183\/2563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14410*m. Let g(d) = -24295*d. Calculate v(g(z)).\nAnswer: -350090950*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -14*x + 6*x. Suppose w + 731 + 1247 = 3*z, -x*w + 1330 = 2*z. Suppose 6*t + 126 - z = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 6*b**2 - 28*b. Let h(k) be the second derivative of k**5\/20 + 7*k**4\/12 + 29*k**3\/6 - 9*k - 214. Determine 6*h(a) + 7*o(a).\nAnswer: -a**3 - 22*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 119118.\nAnswer: 47647.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (152\/(-51) - -3)\/(5\/30)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59514\/25179 - (0 - 36\/22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 1935*d**4 - 68350*d**3 - 398040*d**2 - 405280*d + 873600 = 0 for d.\nAnswer: -26, -4, 1, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:00 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**3 - 2*d**2 + 2*d - 1 + 10*d**3 - 2*d**4 + 3*d**4 as s*d + h*d**2 + c*d**3 + a + l*d**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19697 divided by -8193\nAnswer: 19697\/8193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 1 (b) 3\/2 (c) -0.3 (d) -0.1 (e) 17\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**7\/840 + c**6\/120 - c**3\/2 + 3*c**2. Let a(m) be the first derivative of r(m). Find the third derivative of a(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 11*m - 240. Let g(p) = -p**3 + 12*p**2 + 49*p - 21. Does 2 divide g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008371 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:51 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/5095496 and -107\/6551352.\nAnswer: 45859464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/2151 and -73\/9.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3792 and 163\/13084770?\nAnswer: 104678160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 35 + 41 = 0. Suppose 2*l + 0*l = -6, -5*u = 4*l + 22. Let b = 3 - u. Solve 5*y - 2*z + 3*z + s = 0, 0 = b*y + 4*z + 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 1. Let b(n) = -n**3 + n**2 + 1. Let i be b(0). Suppose 1 = -g - i. What is the tens digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 93*q**2 + 52\/21*q**3 - 1\/420*q**6 + 0 + 0*q - 2\/3*q**4 + 17\/210*q**5. Factor p(l).\nAnswer: -2*(l - 13)*(l - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 26 - 58 + 11*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -2\/9, -3, 2, -574\/3 in ascending order.\nAnswer: -574\/3, -15, -3, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -21?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 7*o**2 - 7*o - 8. What is r(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-14))\/b)\/(b**6*b))\/(b*b**(-3)\/b)**(-2\/45))**(14\/3) assuming b is positive.\nAnswer: b**(-4438\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - -12045?\nAnswer: 12004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 595 - 592 = v, -11*v = -2*c + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1.45654.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/4*(-57216)\/(-16688)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530376 divided by 861?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101 (base 2) to base 11.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1456 and -127\/624.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 + 3 + l**3 + 16 - 5 + 4*l - 5. Suppose -4*g + 20 = 3*b, -5*b - 3*g + 6*g = -14. List the prime factors of n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 73*o = 72*o - 29, -6*o - 29 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225)*-2)\/sqrt(5))\/(sqrt(567)\/sqrt(7)))**2*5 + -2*(sqrt(100)\/(2*sqrt(4)))\/sqrt(5)*-6.\nAnswer: 100\/9 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 1024110220?\nAnswer: -1024110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81\/106 - -14\/53. Which is the second biggest value? (a) 1\/12 (b) 1 (c) -21 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.5946 and -65852?\nAnswer: 65855.5946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 748. Let q = 653 + f. Which is the biggest value? (a) -5 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 0*w - 6*w)*(-1 - 3 + 6) + 3*w - 2*w + 2 - 3*w.\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 5*a**3 + 4*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/54769 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4.39 (c) 0.4 (d) -1\/4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99311821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 742*a**2 - 7498*a - 18. What is c(10)?\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 + -161. Put -122, b, -0.2, -4 in descending order.\nAnswer: -0.2, b, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmj when four letters picked without replacement from jmjmmjjjjj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-4 + 7) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38435, -28855, -19273, -9689, -103, 9485?\n\"Answer: i**2 + 9577*i - 48013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*s - 24. Suppose 3*r + 83 = 2*q - 36, 3*r = 4*q - 229. Suppose 4*y = -t + 187, -y + t + q = 4*t. What is the remainder when y is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -777*k - 13097 + 2219 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 37 = -5*x + 13, -4*u - 5*x - 4 = 0. Solve 2*o + n = u*n - 12, 4*o + 8 = -2*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:27 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 639*o**5 - 225*o**4 + 3*o**2 - 24*o + 214426 wrt o?\nAnswer: 12780*o**3 - 2700*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0 + w**3 - 2 + 332*w + 7 - 346*w - 13*w**2. Let y be o(14). Let n = 12 + -2. Calculate the highest common factor of n and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 41 + 119 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-392)\/(-70))\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1841 + -3505. Let t be a\/(-56) + (-2)\/(-7). What is the greatest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 2*b**4 - b**3 + 6 + b + 0*b to the form m*b**2 + c*b**4 + z + q*b + n*b**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 40 = 5*u. Let t be (3 + 0)\/(u\/12). Is -6 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1040, -39 in decreasing order.\nAnswer: -7, -39, -1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 2*k - k)*(-297*k - 170*k + 206*k)*(-2 + 6 + 2) as m*k + n*k**2 + t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14 (b) -2\/3 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/15 - 161386528*r\/5 - 9767104282460544\/5 = 0?\nAnswer: -121039896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, -2837, -9006, -18341, -30842, -46509?\nAnswer: -65342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 228*25\/(-360)*(-844)\/3165?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31404330 + 13?\nAnswer: -31404312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11267 or 11271?\nAnswer: 11267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = 10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.036512?\nAnswer: -0.063488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 280 and -0.0701.\nAnswer: 279.9299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231 + -231. Which is the nearest to -117? (a) 0.5 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1827\/(-5307))\/((-189)\/18).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3191579688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 20, -2*a = 2*l - 76 + 62. Let g(z) be the third derivative of 12*z**2 + 1\/3*z**4 + 1\/15*z**5 + 2\/3*z**a + 0*z + 0. Find h such that g(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8456, 17335, 26658, 36425, 46636?\n\"Answer: 222*d**2 + 8213*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odlj when four letters picked without replacement from loodojddjdjodjjol?\nAnswer: 25\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 121986404233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1399.3 - -2067.86. What is u rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-285)\/1330*(-245)\/(-594) and 52\/99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*g + 21 = 302*g. Suppose 16 = 3*q - 5*n, -4*n + 5*n - 1 = 0. Suppose q = 3*d - 2. Solve 2*j + g = -d, -4*j = -5*s + 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - l + 14 = 0, 2*r + 285*l - 283*l = 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -e421e (base 16) to base 13\nAnswer: -269423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 172953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 978 a factor of 207435109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123\/12)\/(((-475)\/950)\/((-2)\/(-1))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169.2 and -4.\nAnswer: 676.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 0 + 3\/2*n**2 - 9*n**3 + 9*n - 3\/2*n**4 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3009\/(-6) + -1 + (-12)\/(-24). Let t = u + 520. Solve 7 = -5*j - t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110\/(-814)*(-154)\/189?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 18*v**3 + 2 + 5*v**3 + 0.\nAnswer: 18*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7759286*t + 2*t**3 - 7759286*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 25*n**2. What is g(2)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4408041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*j + 15, -70 = -5*n - 5*j + j. Suppose -9*x + 2483 = 3*r - n*x, 2*x - 1658 = -2*r. Does 36 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 18*u**2 - 309*u - 5297. What is v(-18)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 22 = -8*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-565)*(-2 + (-12)\/(-8)). Suppose -24\/7*y - 3*y**2 + 3\/7*y**3 + u = 0. Calculate y.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1292 - -106?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 0 + sqrt(200) + 5 + -5*(sqrt(200) + 1))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4624 and 2023?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + sqrt(567) + -1 + sqrt(567) - -2*(2 + sqrt(567)))*5.\nAnswer: -2 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-675)\/(-243) + 2\/9. Solve 0 = -2*z - 5*a - 15, -4*z - 15 = -m*z + 4*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -776, -1545, -2314?\n\"Answer: -769*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72060 and 14.\nAnswer: -1008840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.734385l to millilitres.\nAnswer: 1734.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*z - 2 = 0, 3*l + 32 = -2439*z + 2429*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*g = 477*g - 304 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = -2*w, w - 1 = 8*h - 3*h. Let b = 5.16 + -2.215. Let r = -0.055 - b. What is the nearest to -7 in h, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 1:04 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koh when three letters picked without replacement from {h: 1, k: 1, o: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8370 and 132680.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1683 = -5386*c + 5369*c. Solve -10*v + c - 79 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*k + 10 = 0, 2*j - 6*j - 2*k = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48033, 47951, 47869, 47787, 47705, 47623?\nAnswer: 47541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + p**2 + 5*p**2)*(-28 - 53 - 29) - 2*p**2 - 4 + 4.\nAnswer: -222*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 424357*q**3*v + 7*q**2*v + 4*q**2 + 2867*q*v - 46*q + v - 9 wrt q.\nAnswer: 2546142*q*v + 14*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2007*-0.3\nAnswer: 602.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (139 - (190 + -108)) + -71.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**7\/280 - h**6\/80 + h**4\/16 + h**3\/8 - 26*h**2. Factor g(t).\nAnswer: -3*(t - 1)*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0*l**2 + 6*l + 0*l**3 + 1\/4*l**4 + 0 + 1\/5*l**5. Find the third derivative of d(i) wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)*s*s**5)**38 assuming s is positive.\nAnswer: s**(1254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00575488 rounded to four decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or 11.859?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1481 - 1483.6. What is the biggest value in k, 2\/7, -4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68270 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584) + sqrt(1584))**2 + -2.\nAnswer: -96*sqrt(11) + 6338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 divided by -55?\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 71*u - 66*u + 31, 5*u + 43 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490 and 14525?\nAnswer: 203350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (62\/(-32) - 2)\/(9\/(-18)) and 19\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: c3e (base 15) to base 4\nAnswer: 223013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3936 divided by 984\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 4 (c) -7052 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18584 - 18473. Which is smaller: 223\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, h: 1, w: 4, r: 2, e: 1}. What is prob of sequence re?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*m**3 + 14*m**3 - 11*m**3 + 120*m**4 - 124*m**4 - 22*m**3 - 2511 wrt m?\nAnswer: -16*m**3 - 159*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 23, 30?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -201459 or -2014591\/10?\nAnswer: -201459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 973 and -15.24416.\nAnswer: 957.75584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-1 - (-2 - 1)). Let j be (83258\/147)\/38 - (-22)\/231. Put -2, j, o in increasing order.\nAnswer: -2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Suppose -4 = 4*k - 5*i, k - 3*i + z = -k. Suppose 12 + 8 = k*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(4455) - -1*sqrt(4455) - sqrt(165)\/sqrt(27)))\/((-2*sqrt(121)*1)\/(sqrt(11) + (sqrt(33)*1)\/sqrt(3))))**2.\nAnswer: 56180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -1, 164, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.7615kg in nanograms?\nAnswer: 832761500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfhqbbwwfhqfqfwwfqwq. Give prob of picking 1 q, 1 f, 1 b, and 1 w.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3219 is divided by 413.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 30 + 0 = 0. Let b be (j\/8)\/(6\/(-144)). Let f be ((-1)\/2)\/(3\/b). Let o(l) = 2*l + 4. What is o(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 293 + 191)*(0*y**2 - y**2 + 0*y**2)*(2*y**3 - 3 + 3) + y**5 - 18*y**2 + 4*y**4 + 18*y**2.\nAnswer: -123*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 76743 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 9*j - j + 0*j - j)*(-60 - 56 - 49) in the form k*j + v and give k.\nAnswer: 2145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 4, a: 3}. What is prob of sequence bb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1584) + -3).\nAnswer: -18 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2008 and 109\/5020.\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 1404542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 34*k**2. Let a(g) = -13*g. Give a(q(f)).\nAnswer: -442*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 64913820 divided by 94078\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456244290?\nAnswer: 2, 5, 145624429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-515 - -512)*2*4\/660?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-28))\/(48\/(-156))*-8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/15 + 446*c\/15 - 148\/5.\nAnswer: -2*(c - 222)*(c - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2079300, -2079277, -2079254?\n\"Answer: 23*m - 2079323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1242 (base 5) to base 2\nAnswer: -11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 131 = 249. Suppose g - 2*b - 89 = 0, -3*g + 0*g + 297 = 4*b. Calculate the greatest common factor of w and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, -5.\nAnswer: -5, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969 divided by -9.\nAnswer: 323\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1.13041268\nAnswer: -4.13041268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 - x**2 - 9*x. Calculate o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*r = -10*r + 10, 0 = 4*n + 3*r - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:18 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.94 - 0.06. Let r = m + 3. Let p = 13 + r. Which is smaller: -0.4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 3 = 0. Suppose -5*n - 4*a = -23, -n + a + 0 = -p. Suppose -61 = -n*b + 5*f - 4*f, 4*b = 5*f + 74. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124745005 = 5*v + 5*g, 5*v + 14*g = 16*g - 124744998. Round v to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-17)\/(-6) + 19*(-40)\/(-1824).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2.5, -0.4, -0.04?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*w = -15 + 3, -40 = -4*b + 2*w. Solve -3*n - 3*v = 15, -7*n - 3*v + 25 = -b*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2963 - 3053 - 3043 + 15*d + 9059.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 25. Solve 5 - y = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -96*q - 434. What is o(-5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 2, -2\/375, 0.4, 9\/4, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-3) - -48427) + 48\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*i**5*v**3 + 2*i**2*v + 2*i*v**3 + 91*v wrt i.\nAnswer: 3420*i**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 3, p: 1, x: 3, u: 1}. Give prob of sequence xrpu.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {m: 3, l: 1, n: 8, j: 2, v: 1, p: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*i + 137 + 46*i + 136 - 273.\nAnswer: 151*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*t + 11, -5*t - 16 = -i - 0. Is 658 + i*(-9)\/((-9)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1425.04.\nAnswer: -5700.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-660)\/(-65) + 8\/(-52). Find the second derivative of 11*g + 145*g**4 - g**3 - t*g + 21*g + g**3 wrt g.\nAnswer: 1740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l - 568 = -638. Solve -2*u - l = -3*u + 2*k, -8 = 5*u - 4*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*4\/(3*-8)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(-22)*l)\/l*l)\/((l*(l*l\/((l\/l**26*l)\/l))\/l)\/l))**13 assuming l is positive.\nAnswer: l**(-598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122 + -3?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0 - (-3 - -5)). Let p(i) = -i**3 + 2*i**2 + 4*i - 3. Let u be p(r). Factor 1\/4*a**2 + u + 0*a.\nAnswer: a**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559.5887mg to tonnes.\nAnswer: 0.0000005595887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2151 < -2151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -29*a + 44\/3 + 1\/3*a**3 + 14*a**2 = 0. Calculate a.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1)*l))**(8\/15)\/(l*l**(-4\/5))**19 assuming l is positive.\nAnswer: l**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199759\/18 - 11095. What is the common denominator of u and -7\/306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 959976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15*(-7 + -7 + 24). Sort -2, 0, -1, t.\nAnswer: -2, -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -2*p**2 + 0*p**6 + 1\/12*p**4 + 0*p**3 - 1\/210*p**7 + 0*p**5 + 0*p + 0. What is the second derivative of z(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 11*h**2 + 13*h + 26. Let a(o) = 22*o + 10. Let z be a(-1). Let g be q(z). Suppose 4*i**3 + 3*i**2 - 8*i + 7*i**2 - g*i**2 = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 325 = -6*n. Suppose -n = -4*g + 5*j, -26 = -g - g - 4*j. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 52 = -3*c, 16 = 7*c - 3*c. Calculate the least common multiple of 46 and h.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -205, -300, -391, -478, -561, -640?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 238, -328, -549?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/8 - 6\/(-8). Let q = -6 + i. Let c = q - -11. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -754*b + 79167. Let g be v(105). Let m = 8 + -14. Sort m, g, -1, 2 in increasing order.\nAnswer: m, g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(76) - -4*sqrt(19)*6.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100140 (base 5) to base 6\nAnswer: -22402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (-30)\/80*(-8 + -6 + 6). Solve g*p = 841 - 816 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47081 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111010001100010111011 + -11?\nAnswer: 101001111010001100010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m - 24. Determine n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and -1.8.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + u**2 + 1 + 0*u**2 - 2*u. Let r(l) = l**2 + 5*l - 1. Let m(j) = 2*j**2 + 14*j - 3. Let f(z) = -4*m(z) + 11*r(z). Give -f(x) + p(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-660) + 133224\/(-2288)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5074709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -20*z**2 - 3*z. Let s(v) = 7*v**2 + v. Calculate 11*s(i) + 4*w(i).\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(135)\/sqrt(5)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-9) - -3)*(-78)\/(-2). What is the highest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -35.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x**3)**(-49)\/(((x*x\/((x*(x*x**(-1\/2))\/x*x*x*x)\/x*x)*x)\/x)**(-17\/5)\/(x**(3\/2)*x*x\/(x*x**(-1\/7)))) assuming x is positive.\nAnswer: x**(17064\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 344726442 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(23\/(-2) + 0). Let h = 2.92 + 0.08. What is the second smallest value in t, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.01571276\nAnswer: 0.08428724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3781 + 3777. Which is the nearest to 2? (a) -2.1 (b) 3 (c) 5\/4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -515 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i**3 + i**2 - 2. Calculate the remainder when 67 is divided by o(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y**3 + 2*y**2 - 34*y - 15. Let u(n) = 11*n**3 + 2*n**2 - 29*n - 13. Calculate 6*a(o) - 7*u(o).\nAnswer: -17*o**3 - 2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403210405.\nAnswer: 5, 280642081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5*u**4\/12 - 6*u. Let l(r) = 12*r. Let m(w) = -9*w. Let p(t) = -2*l(t) - 3*m(t). Give p(k(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45847, -45668, -45489, -45310, -45131, -44952?\n\"Answer: 179*x - 46026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/928 and -1\/180612.\nAnswer: 1444896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023.433 rounded to zero dps?\nAnswer: -3023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 35*c - 329. Let s be r(-43). Sort s, 5, 0 in increasing order.\nAnswer: 0, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/16 - 2\/(-8). Suppose -g = -q*g. Which is the smallest value? (a) g (b) 4 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-33 + 19) + ((-406)\/(-5) - 0). Is r equal to 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34144 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from ssxmxxccsf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from wnxyz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iygg when four letters picked without replacement from {y: 6, i: 3, g: 4}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12654506 + 3?\nAnswer: 12654511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 12476640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 + 19 = 0. Let g(k) = 1 - 2*k**2 + 0*k + 4 - 4 + 2*k - k**z. Calculate g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.2904 - -0.0096. Let u = 66 - d. Let r = 0.6 - 0.3. Put u, 0, r in decreasing order.\nAnswer: u, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -4 - -7 - (0 - 3\/(-3)) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3\/6 - 3*x. Let o be m(-3). Suppose -o*s = -0*s - 147. What is the remainder when s is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(90\/(-100))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17542*q + 256 + 332 = 17570*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*m + 3*h + 14, 10 = 5*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*d - 6, 3*d + 10 = 6*l - l. Let s = -1 - 0. Let g be (2\/16)\/(s\/2). Is l at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13407 + 13416.9968. Let a = n - 10. Round a to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajayjqaaaaqaalaanj. Give prob of sequence jl.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5060*h - 1294. Let n(x) = -2*x + 11. Let z(p) = -5*n(p) + w(p). Find the first derivative of z(k) wrt k.\nAnswer: -5050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183828612 by 197241.\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/44)\/(4335\/(-349690)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 101*b**2 + 253*b - 4780. Determine h(103).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 - 1131 = 0. Suppose -2*q + c + t - 72 = 0, -2*c = -2*q + 154. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/2, 0.4, 0.5, 4, -238, -1.\nAnswer: -238, -1, 0.4, 0.5, 4, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/287 in 43, -1, 0.1, -2\/5, -320?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241 (base 11) in base 10?\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5554889 years?\nAnswer: 6.6658668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10823 is divided by 101?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(192) + sqrt(192)*-1))**2 - (sqrt(192) + 0)*5.\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*c + 124*c + 33*c to the form o*c + z and give o.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -2*z. Let w(b) = -b - 6. Let p be w(-8). Factor -2 + 2 + f + 3*f + p*f**z.\nAnswer: 2*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*x - 504 - 386 = 839 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21*l**2. Let r(y) = 39*y**2. Determine r(z(k)).\nAnswer: 17199*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11*(-7)\/(1001\/39). Let i(g) be the first derivative of -1\/3*g**q + 0*g - 3*g**2 - 4. Determine i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121221210221122 (base 3) to base 8.\nAnswer: 42277674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.828807432 + 0.028684432. Let k = y - -24.8. Round k to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-4)*(-700)\/2625*(-5)\/(-8). Determine s, given that -15\/4*s**2 + 21\/4*s + d*s**3 - 9\/4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16420 is divided by 4105.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:51 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, -1\/7540, -0.5, -0.04?\nAnswer: -1\/7540","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3433*v - 3473*v - 485 = 395 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-12))\/((-1)\/3). Let s = 3 + i. Which is the closest to s? (a) 0.5 (b) -7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h + 85. Give t(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/24) + -3. Suppose a - c = -l, -4*l + 23 = 3*a + 5. What is the highest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 264 - 178. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-75)\/6)\/(-5). Let s(o) = o**2 + o + 2. Let z be s(v). Let x = z - -273. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 175? (a) -0.5 (b) 1303 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738491837.\nAnswer: 738491837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 32 = 10*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56575829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*(-7 + 1). Let j = 6 + q. Let g(u) = -11*u - 9. Let n(b) = -6*b - 5. Calculate j*g(f) - 7*n(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 70, 161, 290, 457, 662, 905?\n\"Answer: 19*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**2*((r\/(r**(-16\/7)*r))\/r)\/r assuming r is positive.\nAnswer: r**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22)\/(-121) - (-2)\/(-44)*-132766?\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 18*s**2 - 5*s + 6038. Let n(c) = 19*c**2 - 3*c + 6071. Let x(i) = 4*n(i) - 5*y(i). Differentiate x(v) wrt v.\nAnswer: -28*v + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 254 + 162*u - 68*u - 97*u + 69 as n*u + b and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2006*z + 16*z**2 - 2006*z - 2. Let f(g) = 3*g**3 - g**2 - 2*g. Calculate the remainder when m(2) is divided by f(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 1 + 1\/3*r**3 - 3\/2*r**2 - 16*r. Let o be f(7). Solve 2*i - i = -5*u - 10, 3*i + o = 3*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67420 rounded to the nearest 1000?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 + 4*w**4 + 1733489*w**3 - 12782*w**2 - 3732?\nAnswer: 60*w**2 + 96*w + 10400934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -i + 4*i + 441 = 4*k, i = l*k - 221. What are the prime factors of k?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -11. Let u = -1 - g. Let v be 3*u*(-4)\/(-4). Let w(d) = -2*d + 2. Calculate w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -59. Let q be (6\/(-20))\/((-4)\/(-5)). Let i = -211.1 - -211. Which is the smallest value? (a) n (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 2*o**2 - 5*o - 4. Let y be r(5). Let x be (y\/6)\/((-3)\/90). What is x rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -34378 and 2813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 2*o**2 - 9*o - 37. Let v be y(-3). Sort 1, 5, 0, v in descending order.\nAnswer: 5, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (2 - 3) - 9. What is the common denominator of ((-4)\/w)\/(84\/(-1005)) and 2\/7 - 685\/(-28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -1384.334?\nAnswer: 1390.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36870105 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/6 + m**5\/4 + 5*m**4\/4 - 5*m**3\/6 - 5*m**2 - 50*m. Factor t(g).\nAnswer: -5*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(1496\/(-32))*66\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 691618421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1537273 + 7978762. Suppose 3*z + 4*q - 2*q - 4831118 = 0, 4*z + 3*q = b. Let h = -841376 + z. What is h rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.8 - -6. Let w be -1 + -4 + 0\/8. Sort w, -4, 0, n in ascending order.\nAnswer: w, -4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 170*i + 505. Calculate s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252*n**6 - 17*n**2 - 411*n**6 + 202*n**6 - 121*n**2 wrt n?\nAnswer: -55320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + t - 2*c + 16, 2*t - 5*c - 8 = 0. Suppose y = -m + 5985, 2*y - 3*y = t*m - 23928. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b. Suppose 4*w - 4 + 12 = b. Let c = w + 20. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/17 - 584*x\/17 - 582\/17.\nAnswer: -2*(x + 1)*(x + 291)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 0.8 (c) 2 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 2. Let p = c + -16. Suppose 71 = q + 3*v, -q - 4*v + p = v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -844\/9 + 94. Let z = 7 + -5. Let j = 0.05 + 0.95. Which is the closest to -0.1? (a) j (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*c = 44, l = 5*c + 28 - 3. Let h be 3\/(l + -1)*3. Suppose -2*p = -4, o + 2*p = 2*o - h. Solve 0 = -b + 6*b + o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 2*o. Suppose 2*s = -o - 8. Is 162 - (32\/(-2))\/s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178452 + -178452. Suppose y + 40 = 4*y - 5*u, -10 = -3*y - u. Put y, -18, v in ascending order.\nAnswer: -18, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -16. What is the highest common factor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.101 - 0.101. Let m = -291.2 + 337. Let d = w - m. Sort -1, d, -1\/5 in descending order.\nAnswer: d, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahbbwawowbhb. Give prob of sequence ww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65984996 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 7\/(-1) + 2. Let a(v) = -59*v - 13. Is a(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221291 divided by -3?\nAnswer: -2221291\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - m - 13*m)*((4 - 4 + 1)*(1 + 0 + 0) + 2 + 0 + 0 - 1 + 1 + 3)*(2*m**2 + 0*m**2 - 6*m**2) to c*m**2 + v + k*m + b*m**3 and give b.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 93, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 193794985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46964 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154443.\nAnswer: 3, 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -658 - -667. Calculate the greatest common divisor of 33 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1321 + 1.\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1384\/(-11) + 6\/(-2). Let o = h - -129. Which is the nearest to o? (a) -5 (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61654 plus 0.03?\nAnswer: -61653.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205.7 + 206. Sort -2, u, 256.\nAnswer: -2, u, 256","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 63398111?\nAnswer: 63398118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*r + 5*r + 21*r - 9*r**2 + 337*r**3 wrt r.\nAnswer: 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -37*p - 14. Let x(c) be the first derivative of -35*c**2\/2 - 13*c + 35. Let r(z) = 5*i(z) - 6*x(z). Differentiate r(a) with respect to a.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3.1, 1\/3, -1\/2, 4.2, 2\/3?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a day?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a*(a*a**6)\/a)\/(a*a**(-5)*a*a**(-4\/9))*(a\/(a**0\/a))**(-2\/11)*a*a**(-2)*a*a*a\/a**(-5\/4) assuming a is positive.\nAnswer: a**(5081\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 153)*(-104)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 + 296. Let y(p) = -3*p**3 - 26*p**2 - p**3 + 3*p + 28*p**2 - 4 + 7. Let h(i) = i**3 - i**2 - i - 1. Give q*y(s) - 2*h(s).\nAnswer: 2*s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158130012554 - 0.104.\nAnswer: 158130012553.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4780223*y + 2627827*y - 1110760*y + 5098163*y.\nAnswer: 11395453*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -13 + 22 + 16 - (-2 - 10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 + 6*d. Let h(n) = -13*n**2 - 13*n + 1. Let b(v) = 5*g(v) + 2*h(v). Suppose 4*t - 10 = 2*w - 7*w, -2*w = 4*t - 16. Is b(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/51 (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68245 rounded to 2 dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4278*g - 2179222 + 2179222.\nAnswer: -4278*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 819260 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.75, 0.5?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8*u - 12*u = 0, -2*f - 5 = 3*u. Which is the fifth biggest value? (a) f (b) -3 (c) 3\/5 (d) 3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/5 + 236*l**4\/5 + 4602*l**3\/5 + 8504*l**2\/5 + 4136*l\/5 = 0.\nAnswer: -94, -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28)*3 + 1*(sqrt(35)\/sqrt(5))**2*1.\nAnswer: -12*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 359 - 359.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5 and -17\/1162.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 15.12. Let a = z - 15.9. Let x = a - 3.1. What is the smallest value in 1\/6, -2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778303413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 53 = 5*n. Suppose -n = 4*r - 13. Let h be 23\/r - (-8)\/28. Is h at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from yyaiiaiaaaaay?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -758 + -3?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 2*i**2 - i**2)*(25 - 24*i**2 - 25) + 2*i**4 - 4*i**4 + i**4 in the form a + k*i**2 + b*i**4 + s*i + d*i**3 and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 24*t**4 + 88*t**3 - 92*t - 28. Let y(v) = v**4 + v**3 - v**2 + 1. Let n(a) = -s(a) - 4*y(a). Solve n(i) = 0.\nAnswer: -3, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 291, -3 in ascending order.\nAnswer: -3, -1, 6, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**2 - 3*l - 8. Let w(p) be the third derivative of -p**5\/30 - p**4\/24 - 2*p**3\/3 - 22*p**2 - 6*p - 1. Determine -4*m(n) + 7*w(n).\nAnswer: 2*n**2 + 5*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21 + -13)*(0 - -10). Calculate the greatest common divisor of n and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 2\/9, -12254, -0.5, 22 in decreasing order.\nAnswer: 22, 2\/9, -0.5, -3, -4, -12254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3+-25660.512\nAnswer: -25657.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -5 (b) -4\/7 (c) 99878 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3252202, -3252199, -3252196?\nAnswer: -3252193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9 + 258*p**2 - 258*p**2 + 3*p**3 - p - 10*p**3. Let k(a) = -24*a + 25*a - 3 - 1 + 0. Let t be k(6). Let s(w) = -3*w**3 + 4. Give t*z(o) - 5*s(o).\nAnswer: o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 23)\/((-22)\/44). Which is smaller: 14 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 96, 1\/8, -0.3, -2\/3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20819 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, f: 3, v: 4, d: 6}. Give prob of picking 1 f, 1 p, and 2 d.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2. Let n be d(2). Let v(q) = -q + 7. Let f be v(n). Let r be f\/18 - (-17)\/6. Solve 0 = -0*w + r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2090 - -696. List the prime factors of -4 + (u\/(-10) - 8\/20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63194722?\nAnswer: 2, 19, 307, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 1\/20*v**6 - 1\/42*v**7 + 1\/30*v**5 + 1\/336*v**8 - 8*v**2 + 0*v + 1 - 7\/24*v**4 + 1\/2*v**3. Factor c(k).\nAnswer: (k - 3)*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549676465 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 value of (((-4)\/(-2))\/4)\/(-53 + (47 - -4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21 - (-43 + 25) - -10. Let z(c) = -c**2 + 5*c - 16. Let f(q) = 3*q**2 - 16*q + 47. Let d(m) = -3*f(m) - 8*z(m). Calculate d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 + 657*f + 15079. Calculate y(-76).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 69, -10, -9\/3052?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.217 + 2.017. Put -1\/2, 2, 4, y in decreasing order.\nAnswer: 4, 2, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*t + m, -10 + 8 = m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1397*i - 304537. Calculate m(218).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:39 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 3. Let z(n) = -5*n + 7. Let y(r) = -4*r + 7. Let c(g) = 2*y(g) - 3*z(g). Let a(q) = -3*c(q) + 7*w(q). Let x(s) = 6*s**2. What is x(a(t))?\nAnswer: 294*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 75\/156 + 168\/(-672).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*t - 175*t - 175 = 0. Calculate the remainder when 67 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 6*y. Let o = -1044409 + 1044567. Calculate the lowest common multiple of o and z(4).\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:16 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 284 = 3*w, 3*n + 92 = 4*w - 3*w. Is w smaller than 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7241*d + 75 - 75.\nAnswer: 7241*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 343164844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 61 = 0. Let g = -32 + d. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 + n**2\/2 + 5*n + 38. Calculate the lowest common multiple of m(0) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:06 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 80660*d**2 - 406586892*d - 406667556.\nAnswer: -4*(d - 10083)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 5*f**3 + 62206*f**2 + f + 289456?\nAnswer: -24*f**2 - 30*f + 124412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 3*o**3 + 0*o + 0*o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*w - 11 = 0, 5*w - 47 = -3*l - l. Suppose l*k = -247 + 10725. What are the prime factors of k?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 - q**3\/3 - 3*q**2\/2 - 2*q - 64. What is k(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22\/4 - 3\/(-6) and 0\/2 + (-1 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 955280*u - 473986*u - 469073*u in the form d*u + x and give d.\nAnswer: 12221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9) + 1)*6. Suppose 0 = c - 8 - s. What is the units digit of (c\/4)\/(1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 2, w: 4, u: 9}. What is prob of sequence uyqq?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1815 - -10889\/6. Which is the third biggest value? (a) d (b) 0.5 (c) 27\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -1170, -2093, -3384, -5043?\nAnswer: -7070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22443 (base 6) in base 10?\nAnswer: -3195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*y = -18295, -4*y - 18331 = 16*c - 21*c. List the prime factors of c.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (714\/(-476))\/((-7)\/2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680\/160*10\/(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 1\/140*c**6 + 0*c**4 - 1\/105*c**5 + 0*c + 0 + 9*c**2 - 1\/1176*c**8 + 0*c**3 + 0*c**7. Determine h so that v(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 + 2 = 0. Let z be ((-258)\/(-195))\/((-3)\/(-5)). Let o = z - 20\/13. Which is bigger: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/9))\/(y\/(y**(2\/7)*y)))\/((y**(-3\/4)*y)\/(y*y\/y**13)) assuming y is positive.\nAnswer: y**(-2567\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293315201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**14)\/w**(-11))\/((w*w*w**2)\/w*w)**29 assuming w is positive.\nAnswer: w**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241096\/4005 - 301\/5. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(20\/9)*c**(10\/9))\/((c**(-18)*c*c)\/c*c**20) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2008 and 22?\nAnswer: 22088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 87648\/77 + (-2)\/7. Which is bigger: c or 1138?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3\/(1 + (-5)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83499893 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*q - 0*q + 68, x = -5*q + 18. Let h(r) = 2*r - 5. Let l be h(5). Let t be 453\/l + (-12)\/(-30). What is the greatest common factor of x and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29 + (-12 - ((-6)\/(-3) - 8)). Solve 2*i = 27 - y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -98 + 38 + (-1 - 1 - 51)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 17. Let p be t(20). Factor -72 - s - 22*s**2 + 37*s**2 + 6*s + s - 3*s**p.\nAnswer: -3*(s - 4)*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 1:06 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 2, t: 1, s: 6, c: 3, l: 4}. Give prob of picking 3 c.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4399?\nAnswer: 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/((d**(1\/5)\/d)\/d)))\/d)**(-38\/7)\/((d\/d**(2\/3)*d)\/((d*d\/d**(2\/5))\/d)))**(-42) assuming d is positive.\nAnswer: d**(-1898\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(32\/24)\/(1\/3). Suppose -5*u + r + 5614 = 1412, -2*u = y*r - 1694. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 21 + -97 + 227 + -72 - 7?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606437 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1262 (base 7) to base 13\nAnswer: 2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4322 = 12366. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Let p(o) = o**2 + 2*o + 9. Let w be p(i). Let g be (0 - -2 - -1)*(-12)\/w. Put g, -3, 0 in ascending order.\nAnswer: g, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 42*h - 20*h - 12*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, 10.\nAnswer: -3, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -49*r. Let g(o) be the second derivative of -o**3\/2 + 3*o + 1. Give q(g(v)).\nAnswer: 147*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 + ((-2901)\/(-6) - 3). Calculate the greatest common factor of 60 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-2))\/(-9)*46\/38019*-19?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + (0 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-65)*(10\/2 + 0). What is the derivative of x + 7*x**2 - 5*x**a + 18 - 46 wrt x?\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0389 + -0.2389. Let v = 50.62 - 45.6. Let w = v + -0.02. Which is the second smallest value? (a) 3 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/544 and 33\/16.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 980*l - 1025*l. Let i(h) = -19*h - 80. What is i(l)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o**2*o*o*o)**(-1\/13)*(o**(-2\/7))**(1\/33))**(-32))**(-14) assuming o is positive.\nAnswer: o**(-119936\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29931675 to the power of 1\/2, to the nearest integer?\nAnswer: 5471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 423200 rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095065?\nAnswer: 3, 5, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 251*q**4\/4 - 8*q**3\/3 - 38*q**2. Let f be i(1). Round f to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(75))*6*-4 - (sqrt(12)\/sqrt(4)*-6 + 0 + sqrt(3)*1)*-5)**2.\nAnswer: -20880*sqrt(3) + 68259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 54\/5 of a minute?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2012 divide 257942424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6608 and 9617?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 33.1. Let l = 4 + a. Which is smaller: -6 or l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 793029*q - 793026.\nAnswer: -3*(q + 1)*(q + 264342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -265136 - 2?\nAnswer: -265138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*l**3*n**4 + l**3*n**2 - 3*l**3*n - 7*l**3 + 8*l*n**6 wrt n?\nAnswer: -552*l**3*n + 960*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -1\/10 (c) 2.92 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27 + 0.13. Which is the closest to 7? (a) t (b) 1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19747989 a multiple of 1293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -0.3468.\nAnswer: -0.6468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 + 129*f**3 + 2223*f**2 - 4837*f + 2484 = 0 for f.\nAnswer: -108, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310414 is divided by 22170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -192083476 divided by 2878?\nAnswer: -66742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 640 - 632. Let v be (-3)\/u - (-1314687)\/(-88). Round v to the nearest one hundred.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyynyqnqy. What is prob of picking 3 y?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1.7?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5250834 decades to millennia.\nAnswer: 0.005250834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.63 - -33. Let x = -1.369862 + q. What is x rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + v + 5. Let o be 9\/(-2) - (-1)\/(-2). Let t(x) = -2*x**2 - x - 3. Let b(i) = i**3 + 4*i**2 - 11*i + 3. Let c be b(-6). Give c*g(d) + o*t(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*r**3 - 215*r**2 + 2*r + 93*r**3 + 221*r**2 - 213*r**3 - 586 to the form o*r**2 + s + n*r + t*r**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + sqrt(539) + 2 + 2 + (sqrt(539) + 2 + sqrt(539) + 2 - sqrt(539)) + sqrt(539))**2.\nAnswer: 448*sqrt(11) + 8688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4 = 4*p, 0 = 5*p + 8*x - 4*x - 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4\/3 + 249242665*g**3 - 12424381211260445*g**2 + 619337176814096264177185*g\/3 = 0.\nAnswer: 0, 49848533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (983*q + 644*q - 270*q)*(-2 + 2 + 1)*((-2 - 5 + 5)*(2 + 3 - 3) + 2 - 2 - 8) to the form z*q + y and give z.\nAnswer: -16284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 + g. Let u = -21 + 22. Let c be p(u). Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(190)*2)\/((sqrt(70)*-1)\/sqrt(7)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42782 is divided by 787.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1361, 1422, 1523, 1664, 1845, 2066?\nAnswer: 2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Factor -2*h**2 - k*h + 2*h**2 - h**2 - 3.\nAnswer: -(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcz when four letters picked without replacement from {c: 5, z: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84303 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = j + 18, -j + 5*b = -3*j + 29. Let r = 16 - 14. Let l(y) = j*y - y - r*y. Let q(z) = 2*z. Give 4*l(g) + q(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92169524, -184339053, -276508596, -368678159, -460847748?\nAnswer: -553017369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from meze?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 86. Suppose -h - 3*v = -25, 6 = -2*h + 4*v + 26. What is the units digit of k*(-3)\/(6\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/308 and 129\/13552?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 57*y + 96. Let v be h(-30). Solve -4*x - 4*t = 24, -x + v = -7*t + 2*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(833) + -5 + -2)*-2 - ((-1*sqrt(1700) - sqrt(17)) + (sqrt(187)*1)\/sqrt(11))))**2.\nAnswer: -136*sqrt(17) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5223885506?\nAnswer: 2, 7, 373134679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80387 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 213534*w\/7 - 51363360\/7.\nAnswer: 2*(w - 107007)*(w + 240)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1375, -1316, -1257, -1198, -1139, -1080?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 78*a**2 - 4*a + 111. Determine s(39).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:36 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1467.83632 and 0.96.\nAnswer: -1466.87632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 1, f: 1, g: 3, c: 2, b: 2}. What is prob of sequence if?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2589478.\nAnswer: 2, 23, 41, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-21 + -4 + 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31a (base 12) in base 11?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -24*o - 1. Let v be i(-7). Suppose 391 = 3*f + 3*l - v, 5*l = 3*f - 598. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let r = -2 - 1. Let l = 0.316 - 0.016. Put r, t, l in ascending order.\nAnswer: r, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 15 + -33 + 19 + 1 + -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -7639, -4, -3, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 89. Suppose -2*o = f - 4 + 1, 0 = 3*f - o + 5. What is the fourth biggest value in -0.1, f, 3\/8, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0, -18\/83?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(30\/(-140)))\/(48\/(-54)*216\/(-96)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1537, -624, 0 in decreasing order.\nAnswer: 1537, 0, -624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -293 or 33\/4?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d60 (base 14) in base 11?\nAnswer: -8187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Solve k = -2*p + p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 8*r + 150. Does 41 divide r\/(-12)*(332\/(-5) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 40. Suppose 4 = k - 12. Let w = k - i. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-7)\/(-5) + (-1050)\/125 + 352411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzkkkkkhzzzkzk. What is prob of sequence khkh?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 + 7*u + 17. Suppose -52 = d - 12*c, -8*c + 9*c + 4 = -2*d. What is s(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105.5646 - -170509.\nAnswer: 170614.5646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/364 and -54\/15188329.\nAnswer: 425273212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4564 (base 7) to base 8\nAnswer: -3177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -10 - (-140)\/12 - 652\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 22*x - 15 = -23*x, 3*j = -2*x + 2. Let h be (-6069)\/(-12) - 1\/(-4). Suppose -530 = -j*t + h. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, -0.3, 517, 0.074, -1\/3, -1\/14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -23. Suppose -5*v - 8 = -h. Differentiate 16*b**3 - 19*b**3 + v - 6 wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Solve w = -0*c - 4*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1007\/4 - 253. Let f = 2 - 6. What is the nearest to -1 in r, 3, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 40838 - 4*b + 20*b**2 - b.\nAnswer: 20*b**2 - 3*b + 40838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 1273*i + 89766. Determine y(-67).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 4*j**2 + 2*j**4 - 2*j**4 + 6*j**4 + 303 - 303 + (6*j**2 + 0*j**2 - 5*j**2)*(-4*j**2 + 7*j**2 + j**2).\nAnswer: 9*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 6:20 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -58*v**7\/21 + v**5\/60 - 53*v**4\/24 + 3*v**3\/2 + 6*v**2 + 24*v + 5. What is the third derivative of x(s) wrt s?\nAnswer: -13920*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11116*x**2 + 3709*x**2 + 3699*x**2 + 3716*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciycjcyliccjicyci. Give prob of picking 1 y, 1 c, 1 i, and 1 j.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/40 and 169\/450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9bc3a (base 13) to base 9.\nAnswer: -471540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*f + 140*f - 118215 = 0. List the prime factors of f.\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.98 minus -42980?\nAnswer: 42914.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 1. Suppose u + 5 + 5 = 3*f, 0 = 2*f + 2. Which is the second biggest value? (a) h (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -103*o**2 + 60*o**2 + 48*o**2. Let z(a) = -47*a**2. What is t(z(g))?\nAnswer: 11045*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 552*q**3 + 108*q**2 + 13*q - 6. Is l(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 7*x**2 + 13. What is the hundreds digit of r(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31048\/7 > 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -145924.163.\nAnswer: -145924.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 753*g + 2253*g - 748*g - 752*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1526, -6569, -15092, -27095?\nAnswer: -42578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2020*q*r**2 + 1754*r**2 with respect to q.\nAnswer: 2020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 72*n + 146. Let d be l(-38). Suppose -s = s - 52. What is the remainder when s is divided by (d - 168\/(-32))*-4*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 23016.\nAnswer: 69048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26699.37 weeks to microseconds.\nAnswer: 16147778976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 - 7*p**4\/12 - 5*p**3\/3 + 9*p**2 - 4*p - 4. Let o be j(8). Solve 0 = o*m - 1 + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15552 and 16?\nAnswer: 15552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 620 = -2*a, 3*a = 5*r + a - 1040. List the prime factors of r.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0705089 (b) -42 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + (-304)\/(-24))*(-7)\/((-49)\/180). What is the greatest common divisor of s and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*z + 3*z - 8*z)*(4 - 2 + 0) + 46 + 49*z - 46)*(17*z**2 - 2*z**2 + 7*z**2 + 2*z**2) as v*z + h + k*z**3 + i*z**2 and give k.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/117 and 3\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -30. What is the derivative of d**3 - 1 - 13 + 3*d**z - 2 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, g: 6}. Give prob of sequence gg.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-614)\/(-5) + (-8)\/(-40). Suppose 155 + x = 2*p + 2*m, -p - 2*m = -142. Calculate the remainder when p is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -29 - 3\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**2 + 38000*w - 90250000 = 0?\nAnswer: 4750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/4 - 231*n**2\/4 + 876*n - 3440 = 0?\nAnswer: 8, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12305.\nAnswer: 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.49 + -0.49. Let h = -162 - -167. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.73 - 0.72. Let f = j + -0.01. Let g = 4 - f. Which is the closest to g? (a) 1\/6 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.121366+-628777\nAnswer: -628777.121366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t**2 - 7*t - 7. Let g(p) = 7*p**2 - 4*p - 4. Let o(w) = 7*g(w) - 4*m(w). Let b(z) = 9*z**2. Determine o(b(a)).\nAnswer: -567*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2191 * -4\nAnswer: -0.8764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51009821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4 + 9791020*j**3 = 0.\nAnswer: 0, 4895510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 1.98. Let s = 0.49521 - 0.47521. Sort j, s, -2 in descending order.\nAnswer: j, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((95\/(-25))\/19)\/(13\/5).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n + 15 = 0. Let x = 221.3 - 221. Which is the closest to -2? (a) x (b) -3\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 2)*(-341 + 341 - 12*d**4) to the form s*d**4 + x*d + l + a*d**2 + y*d**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4727701813 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 36. What is the common denominator of ((-20)\/(-30))\/(4\/z) and 9\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3240214914 and -4.\nAnswer: -3240214918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 0.072.\nAnswer: -1.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63885009 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.6003+-9.4\nAnswer: -8.7997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10953, 43955, 98987, 176049, 275141, 396263, 539415?\nAnswer: 704597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -130 in 3, -0.3, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 83 - (-4 + 4) - (-1 + -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*g + 573*g**2 - 98*g**3 - 306*g**2 + 20 + 377*g**2 + 28 - 294*g.\nAnswer: -2*(g - 6)*(7*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsbz when four letters picked without replacement from {d: 2, n: 1, j: 6, z: 2, b: 1, s: 5}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*j - 30*j - 6970. Calculate the remainder when 3484 is divided by j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 1, x: 1, j: 3, n: 9}. What is prob of sequence npjj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -5*q, -q - 3*q = 4*z + 4. Let g(n) = -1. Let a(j) = 3*j - 6. Let h be (-44)\/(-22) - ((3 - 3) + -2). Give h*g(v) + z*a(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 8. Let q be c(6). Let m = q - 32. Let g = 12 + m. Solve -2*y - g*p = -4*y - 8, y - 4*p = -13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18660 is divided by 18622.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439 - -126148437.14.\nAnswer: 126148876.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 8*j**2 - 4*j + 1. Let v be u(7). Suppose v = 2*c + 5*i, 0 = -0*i + 5*i + 20. What is the greatest common divisor of c and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-199216 + 199216 - 14*h)*(13*h + 3*h - 4*h) in the form d*h**2 + l*h + c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -538 - -467. Let d = s + 80. Let p be 0*1\/2 - -144. What is the highest common divisor of p and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 0, -4*k - 2*q = -q - 8. Solve c + m = 5, m + k*m = 3*c + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/9, -5, 23?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1488 by 2104.\nAnswer: 186\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 5. Let q(d) = -5299*d**2. What is q(x(l))?\nAnswer: -5299*l**2 + 52990*l - 132475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/34, -3, -10827?\nAnswer: -10827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20269, -20367, -20479, -20605, -20745?\n\"Answer: -7*c**2 - 77*c - 20185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 11:32 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.908734*41.\nAnswer: 201.258094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 7*f**4\/3 + f**3\/3 + 8*f**2. What are the prime factors of b(1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**5*x - 3*f**4*j + 17*f**3*j + 3*f**2*j*x - 2*f**2*j - 127*f*x wrt f.\nAnswer: 540*f**2*x - 72*f*j + 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -5, -2, 12, 4 in descending order.\nAnswer: 12, 7, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 838 = 3757. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -44?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 + 135. Which is the closest to -11? (a) 1 (b) -4 (c) -5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -2186.\nAnswer: -19674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = -20. Let f = 2.5 + -0.9. Let i = -1.2 + f. Which is the closest to -2? (a) j (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021221202022 (base 3) in base 5?\nAnswer: -1041013233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 - 0.5. Suppose -382*i = -389*i. What is the closest to i in 1, -4, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1653 and 342?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.1894 and 2.\nAnswer: 12.3788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -22 - 9 - (-9 - -4 - 16)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otoboooozqd. What is prob of sequence dqo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 12:04 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/(l*l**(2\/3)))**(-35)\/((l**(-1\/4)*l)**(-1\/71)\/(l**(-1\/2)\/l**(-2))) assuming l is positive.\nAnswer: l**(-38473\/852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 26, 1, 6 in ascending order.\nAnswer: -5, 1, 4, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18693805 or 18693806?\nAnswer: 18693806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let i(v) = -4*v**2 - 3*v - 2. Let w(t) = i(t) + 2*o(t). Let b be w(-3). Let f = b - -13. Solve f*s - 11 = -a + 6*s, -a - 10 = 3*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 + 125*d + 59. Let g be q(43). Is -113 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718748072.\nAnswer: 2, 7, 73, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**4 + 12*g**3 + 18*g**2 - 7*g. Let x(a) be the first derivative of a**2\/2 - 1. Let y(o) = -2*r(o) - 14*x(o). Determine d, given that y(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-19))**(-2\/5)*v**(-3)*v*v\/(v**(-28)\/v)*v assuming v is positive.\nAnswer: v**(183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/5, -16\/7, 3\/4, -3.\nAnswer: -3, -16\/7, -2\/5, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, u: 6, e: 1, p: 2, f: 1}. What is prob of sequence ptep?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 6*j**2 + 4. Suppose -24*r + 5*r + 2090 = 0. Suppose -18*b + 2 = r. Give d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 2*k = 2, 5*b + 19 = -3*k. Let y = -1.4 + 1. Let s = y + 0.3. What is the closest to b in s, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - 5*m**2 + 39*m + 3. Let f(c) = 2*c**3 - 4*c**2 + 38*c + 3. Determine 5*f(q) - 4*s(q).\nAnswer: -2*q**3 + 34*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5370046.\nAnswer: 2, 11, 19, 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*a + 39*a - 892 + 2772 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 12:50 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2865.8 times 0.0776\nAnswer: 222.38608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -516*d - 346*d - 525*d + 36062 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-10))\/(2\/5). Let w be v\/(4\/(-8)*-1). Is 14 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.082 + 0.282. Does -1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 919749 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-123)*5\/225*9.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 9. Let o = k + -0.96. Let f = 0.06 + o. Which is the closest to -1? (a) f (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3376580, -6753184, -10129788, -13506392, -16882996?\nAnswer: -20259600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uus when three letters picked without replacement from {e: 3, s: 1, u: 5, i: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 8*b - 8. Let m be x(-6). Let z be 3 - 67*m\/92. Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262296\/((-81)\/(-9)) + 13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-576)\/(-11856) + (-4)\/26?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.6. Sort j, 5, 3 in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04634 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*h + 280 = 0, -2*j - 4*h = h + 140. Let p = j + 74. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 12*x**2 - 6*x - 7. List the prime factors of k(-12).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/9 - 1 - (-32)\/144. Sort d, -3, 4 in descending order.\nAnswer: 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(-14) - 0)*5334.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**6\/150 - 16*h**5\/75 - h**4\/2 + 2*h**2 + 21. Solve y(d) = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94441213.9 and 3.\nAnswer: -94441210.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(1100)*2 + sqrt(1100))**2.\nAnswer: 79200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, o: 2}. Give prob of picking 2 y and 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5114 divided by 6?\nAnswer: 2557\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 11*s**2 + 312*s + 74. Calculate u(24).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 15, -12, -0.3 in ascending order.\nAnswer: -12, -0.3, 1\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 903*c = 904*c - 17, -10 = -5*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 - 784*w**2 + 245158*w - 728364 = 0. Calculate w.\nAnswer: -598, 3, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 8466917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-6 - -24) + 2 + (-10 - 3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171703 and 209?\nAnswer: 1888733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16701806501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -4*q + 11, 3*s = -9. Let i = -528 + 530. Calculate the remainder when q is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57818*d*h**2 - 7104*h**2 + h with respect to d.\nAnswer: 57818*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(3\/((-30)\/(-4)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/6 - 12505*x**4\/2 + 826367*x**3\/3 + 2591641*x**2\/3 + 1752769*x\/2 + 1765273\/6 = 0.\nAnswer: -37559, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-99 + -50 - -114) + 47\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 22*b**2 - 9*b**2 + 12.\nAnswer: -31*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b6 (base 12) to base 13.\nAnswer: -34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 73. Let i be s(17). Calculate the remainder when i\/((-30)\/9)*(29 - 3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162144 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -354*i + 1214. What is t(4)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11939 + 2777. Let g = n + 9078.14. Let x = -85 - g. Round x to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*c**4 - 573384*c**3 - 2188089708*c**2 - 2764406313032*c + 54229203468174.\nAnswer: -2*(c + 3829)**3*(25*c - 483)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6324 and 5263149?\nAnswer: 21052596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -12. Which is bigger: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5042 - 975 = -72*s - 473. Solve 14*u = s - 63 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 61. Give y(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/84 - -53\/84. Suppose -2*s - s - 3 = 0. Which is the second smallest value? (a) j (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/((2\/(-5))\/(228\/(-2660))))\/((-3)\/(-14))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31239\/3471)\/(171\/(-7)).\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35650*-2\nAnswer: -71300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 18. Let t be 29\/10 - 25\/a. What is the closest to 2\/7 in 5\/3, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 + j**4 - 1 + j**4 - 4*j**2 + 4*j**3 to the form r*j**3 + c*j + b*j**4 + k + q*j**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90907646 or 90907650?\nAnswer: 90907650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 33. Let t = a + -96.00000081. Round t to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29 - -0.19. Let o be (-197)\/(-3) - 12\/18. Let r = 62 - o. What is the nearest to j in -1\/2, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbeb when four letters picked without replacement from uebbfe.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-5\/4))\/y*y*(y\/(y**(-11)*y*y)*y)\/y*y\/(y\/y**(-12))*y*y**(-5))**(-10) assuming y is positive.\nAnswer: y**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s\/(s*s**(-25))*s)\/s*s)\/s)\/s)\/(s\/s**(1\/38)))**(-48))**(4\/11) assuming s is positive.\nAnswer: s**(-84000\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 198. Suppose -7*b + 3*w + i = -4*b, -2*b = w - 112. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 679, 1363, 2047, 2731?\nAnswer: 3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -122.50969647 to three decimal places.\nAnswer: -122.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 8177408*w - 4179375099904.\nAnswer: -4*(w + 1022176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -387, -726, -1065, -1404?\n\"Answer: -339*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 4*k, 5 - 17 = 4*k. Let n = u - 2. Let r be 136\/(-14) + (-4)\/n. What is r rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242270704.\nAnswer: 2, 13, 31, 37573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -2\/35*w**7 + 1\/15*w**6 + 2\/15*w**5 - 1\/2*w**4 + 1\/84*w**8 + 0*w + 2\/3*w**3 + 0 + w**2. Suppose v(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -12. Suppose 2*f + 8 = u*f. What is the third derivative of -3*l**4 + 3*l**4 - 2*l**4 + l**2 + 3*l**f wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25253563 to the nearest integer?\nAnswer: 5025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3\/3 + 2*s**2 + 7*s + 42. Give t(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 3*l**3 - 5*l**3)*(2 - 5 - 1)*(-6 + 3*l**2 - 3*l**2 + l**2).\nAnswer: -8*l**5 + 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495*b**3 - 748*b**3 - 742*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -1\/3 (b) -2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8045, -16089, -24133, -32177, -40221?\nAnswer: -48265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3658, -3657, -3646, -3619, -3570, -3493, -3382, -3231?\n\"Answer: v**3 - v**2 - 3*v - 3655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 10*n**2 + 67*n - 3*n**2 - 1 - 3*n - 7*n**2 as q*n + o + h*n**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 9. Suppose 3*k = -3*q + 30, -2*q + 0*k + 22 = 3*k. Let f(o) = 11*o + 26. Let b(v) = q*j(v) + 3*f(v). Determine b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(2*t**2 + t**2 - 2*t**2) - t**2 - t**2 - 2*t**2)*(3*t - 2*t**2 - 3159 + 3159).\nAnswer: 12*t**4 - 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/119 + -1 + (-15840)\/612?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/(-290)*(-20)\/3)\/((-4)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 481176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 11. Let w be -1 - ((3 - 4) + 0). Suppose w = 5*s + 6 + 24. Let m be j(s). Sort m, -3, -1 in decreasing order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 + 2750*l**2 + 1879577*l - 15213128 = 0. What is l?\nAnswer: -1379, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -53?\nAnswer: -16\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/7 - 78*s**3\/7 + 241*s**2\/7 - 162*s\/7.\nAnswer: -s*(s - 2)*(s - 1)*(s + 81)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 10. Let x be r(-8). Let w(h) = -h. Let c(y) = -3*y. Calculate the remainder when c(-1) is divided by w(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m. Let b(a) = 4*a. Let r(x) = 4*b(x) - 3*j(x). Let z(w) = 39*w. Give z(r(v)).\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 311*h**3 - h**2 + h - 1994 wrt h?\nAnswer: 933*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.22153, -4, -0.9, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -7*p + 40. Suppose z = 4*t + 4*z + 2884, p*z = -2*t - 1456. Let y = -467 - t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 9:48 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -9820\/3311?\nAnswer: -9820\/3311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -11. Suppose -2*o - 2 = 4*f - h, -5*f - o + 14 = 0. Factor -2*q**4 + 3*q - 3*q + f*q**5 + 2*q**2 - 2*q**3.\nAnswer: 2*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1055 + 2*o**2 + 0*o**2 - 804.\nAnswer: 2*o**2 + 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 33*v + 2. Let a(g) = 15*g + 12. Let h(d) = -285*d - 225. Let f(b) = -75*a(b) - 4*h(b). What is f(l(q))?\nAnswer: 495*q + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616926683 to the power of 1\/2, to the nearest integer?\nAnswer: 24838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - l - l - 1 + 1 - 4 - 3*l + 4 - 1 + 2*l + 1 + (0*l + 0*l - 2*l)*(-2 - 1 + 1) + 0*l + 4*l - 3*l - 5*l - l + 4*l)*(-4*l**2 - l**2 + 2*l**2).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189260764 is divided by 1002?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 7*j - 8*j = 2, -3*p + 4*j + 8 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8157504 litres?\nAnswer: 815.7504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 2*s + 118 - 237.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/120 - o**5\/10 - o**4\/6 + 3*o**3\/2 + 8*o**2. Calculate the remainder when 5 is divided by q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/((-170)\/(-50)). Suppose -3*r - l - 2 = 0, -5*l - 6 + 16 = -5*r. What is the nearest to 1 in -2\/5, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 241071, 237149, 233225, 229299, 225371, 221441, 217509?\n\"Answer: -c**2 - 3919*c + 244991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 3. Let s(l) = -2*l**2 + 5*l**2 + 3*l**2 - 5 + l + 4*l. Let h(n) = 7*n**2 + 5*n - 5. Let d(g) = -5*h(g) + 6*s(g). Calculate 3*d(j) - 5*i(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -18 - 48*g - 42*g + 2*g**2 + 4 + 94*g. What is the tens digit of m(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1321559028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15121 is divided by 219?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-27)\/1080 - (-31)\/(-36).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + 2*y**2 + 3*y - 1. Let d(o) = -o**3 - 2*o**2 + o + 1. Let h(l) = -3*d(l) + m(l). Let n be h(-8). Let k(s) = 4*s + 6. Calculate k(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 28 = 25*o - 28*o, -5*g - o - 35 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-1)\/8). Suppose -5 - 1 = 3*l, -b*l = -2*q + 42. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-756)\/70)\/((-2)\/135). Let z = s + -396. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375572143?\nAnswer: 11, 61, 2050033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20508 divided by 6.\nAnswer: 3418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 - -1) + -5 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 810591, 810596, 810605, 810618?\nAnswer: 810635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 54374720 to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5\/2, -4, 44, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6928 and 232954.\nAnswer: 1863632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 724112017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1780 and 117\/2457290?\nAnswer: 4914580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -o + 68, -4*o = l - 6 - 24. Suppose -l*z = -27*z + 10. Suppose 2*q = 6 - z. Solve 0 = -4*t + 5*p + 40, q*t + 2*p - 7 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-16)*n**11)\/(n**(-9\/4)\/n)**19 assuming n is positive.\nAnswer: n**(227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1017*u - 8 + 13 + 9 - 8 as l + f*u and give f.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/3*84\/108.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586396846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 200*x + 4014. Determine f(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3275927703 rounded to four decimal places?\nAnswer: -0.3276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62267211 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-5*(-5264)\/70. List the prime factors of -5 + -2 + f - 2.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 3*l + 2*l - l + 4*l - 2*l + (-2 - 5*l + 2)*(-2 + 5 - 1))*(-2*l**2 + 4*l**2 - 4*l**2) as s*l**3 + a + u*l + y*l**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-284)\/70) + -18*62\/372\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 408 - 403. Solve 5*d - 9 = 3*r, 0 = -5*d + r - c*r - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)*2\/2. Let t(u) be the second derivative of u**4\/12 + u**3\/6 + 5*u**2\/2 + u. Determine t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -61 - (-817 - -7)\/(-6).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/4)\/d**(1\/2))\/(d\/(d*d*d**(1\/4)))**(13\/3) assuming d is positive.\nAnswer: d**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = -z, 0*z - 2*z = -3*g + 5. Find the third derivative of 3*b**z - 11 + 4*b**4 + 11 wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2415, 4826, 7237?\nAnswer: 9648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6954\/(-18)*(-615)\/(-3895)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 38 + 2*z + 0*z + 0*z. Let w be (-4)\/(-14) - ((-645)\/21 + 23). Calculate the least common multiple of 18 and h(w).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 12, 290 in descending order.\nAnswer: 290, 75, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.45 - 35. Let h = q - 2.45. Let s = 3.08 + -0.08. Which is the closest to h? (a) 20 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nlllllnnnnnn?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114.47 + -115. Let l = v - -0.43. Let o = 0.3 + l. Which is greater: o or -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 times 3\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z - 61 - 107 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*j**5 - 23*d*j - 6*d + 21*j**5 wrt j?\nAnswer: 20*d*j**3 + 420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 11*y + 5. Let c be o(-10). Suppose -4*g = -g + c, -3*g - 18 = 3*i. Let q be -2 - (i - -1 - 3). Sort 5, q, -2 in increasing order.\nAnswer: -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132111 divided by 18873?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 707 + 0*q**2 - 674 - q**2 + 0*q**2 - 5*q to the form i*q**2 + s*q + x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 2*b + 17*b**2 + 16*b**2 - 4*b.\nAnswer: 32*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 24*a. Let y = 1 - -83. Let k = 82 - y. Let w(p) = 13*p**2 - 9*p + 9. Let v(j) = -3*j**2 + 2*j - 2. Let l(o) = k*w(o) - 9*v(o). Give b(l(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 113. Suppose 29 = a + p. Suppose a*t + 130 = 11*t. What is the highest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*a\/(a**(-5\/6)*a*a))*a)\/(a\/a**(-2\/3))*((a**(3\/2)\/a)\/a)\/a**0 assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t - 6. Let s be q(-1). Which is smaller: 4\/87 or s?\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2. Let v be 4\/(-3) - (-7410)\/117. Let t(g) = -v*g + 36*g + 25*g - 9. Calculate -9*p(c) + 2*t(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25343 and 4.\nAnswer: 101372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -40. Suppose 2*o - v = -4*t, -4 = -3*t - 3*o + 5. Suppose -2*g = -5*u - 12, -4*u + 3*g = 1 + t. Which is smaller: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:31 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202133 (base 5) in base 11?\nAnswer: 26438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 6789?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 1, v: 2, b: 1}. What is prob of sequence bvln?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653 = -88*d - 213 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424331141 - -1?\nAnswer: 424331142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 11*r + 18. Let p be q(-9). Suppose 2*c + 4*w + 7 = 19, p = -4*c - w + 3. Suppose -4*b + b = c. Solve b = 3*m + 3, -3*a - 2*a + 3*m = 22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2744)\/21 + (-2)\/(-3). Let s = 137 + a. Solve s*p = 10*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11245 divided by -16?\nAnswer: 11245\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-5))\/a*a\/(a\/a**0))\/(a**(2\/17)*a**(1\/4)))**35)**(-2\/57) assuming a is positive.\nAnswer: a**(12775\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24009 and 51859440.\nAnswer: 51859440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.63 * -4\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*(p\/p**(-1))\/p)**(3\/37) assuming p is positive.\nAnswer: p**(12\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -56, -79, -3, -43, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -3, -43, -56, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.655 take away -16504616?\nAnswer: 16504604.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9138007 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -137, -502, -1211, -2378, -4117, -6542?\nAnswer: -9767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.5. Let z = i - 0.1. Let f = 4731\/5 - 9467\/10. Which is the closest to f? (a) -9 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 12. Let z be w(10). Put 0, z, -2 in descending order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(162) - (sqrt(162) - (-1 + sqrt(162) + -4))) + (sqrt(162) - (sqrt(162) - -3*-1*sqrt(162)))) - (-4 + sqrt(162) + -1*sqrt(162) + -3 + 4)**2.\nAnswer: -180*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11670 - 11670 + 117*u)*(2 - 2 + 2*u) + 3 + 12*u**2 + 4*u - 10*u**2 + 4*u**2 to the form h + q*u**2 + x*u and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512535852 to the power of 1\/3, to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030132794 rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*j + 22 = t, -j = 5*t - 14. Suppose 17 - 5 = t*s. Suppose s*b = b - 15. Which is bigger: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-4 + 3 + 13 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27150\/13 + 2088. What is the nearest to 0 in -0.2, -2, n, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/15))**(-11))**18)**(-43) assuming j is positive.\nAnswer: j**(5676\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -30*d**3 - 2*d**2 + 1. Let x be j(1). Let v(b) = -60*b**3 - 2*b**2 - b. Let g be v(-1). Let l = x + g. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 169*p + 191. Let v(k) = 131*k + 191. Let r(q) = 3*f(q) - 4*v(q). Calculate r(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 + -62. Suppose -2*w = -4*f - 186, 3*f + 2*f + d = w. What is the remainder when w is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - f**4 + f**3 - 38*f + 10 - 8 + 32*f to the form v*f**3 + n*f + u*f**4 + g + z*f**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -1161*b**3 + 2315*b**3 - 1153*b**3 - 25*b - 51 + 15*b**2 - 12*b = 0. Calculate b.\nAnswer: -17, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 4507092?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120616012\/387 - 311668. Let r = -36\/43 + w. Factor 0 + 1\/9*f - r*f**2.\nAnswer: -f*(4*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/4728544 and 53\/2364272?\nAnswer: 4728544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-2 + 96\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/92770204 or -1?\nAnswer: 1\/92770204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1118\/(-204) + 1)*(330 + -332) + (-117)\/13?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 28. Let k be 2\/(-5) + (1 - (-408)\/20). What is the greatest common factor of k and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -336003 + -69?\nAnswer: -336071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 12. Let q be o(-18). Is (2 + 6\/(-5))\/(q\/75) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w + 8. Let i(a) = 4*a - 8. Determine 4*i(b) + 5*p(b).\nAnswer: -9*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 11*q + 25. Let j be a(-8). Suppose l = 2*l + 5. Let d be j - (4 + l)\/((-1)\/4). What is the third smallest value in 0.1, d, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11814)\/(-3401))\/(63\/798)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68175, -136379, -204583, -272787, -340991, -409195?\nAnswer: -477399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2 + (1 - 56\/(-16)). Suppose 8 = -p*t + 104. Suppose 2*j - z = t, -5*j + 82 = -4*z + 2*z. What is the highest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) 3 (c) 1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 8, -2*s = s + 4*z + 4. Suppose -v - s*v - 885 = 0. What are the prime factors of 1\/5 - v\/15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 6*n**2 + 9*n + 5. What is g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 30*v**2 - 33*v - 101. Let f be j(-29). Let m be -4 - (-3 - f\/10). Which is the closest to -1? (a) -2\/17 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -46.4. What is the biggest value in -1\/3, n, -3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/2 + (3 - 1). Let h be (-6)\/(l*(3 - 1)). Let s be h\/(-2)*(-4 - 24). Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7.924207 and 6\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-60)\/(-14)*(0 + 21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267037?\nAnswer: 267037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1725.12984 - -1725. Let n = m + 0.13. Round n to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1539 and 9153?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -3\/4, -9, -5\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -16. Let y(q) = -4*q - 5*q + 2*q + w*q. Let f(l) = -l. Let b(k) = 2*k**2 + 3*k. Let s(x) = -b(x) - 3*f(x). Calculate s(y(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 24*h + 13. Let y = -6524 - -6529. Let j(w) = -36*w - 20. Determine y*j(v) + 8*q(v).\nAnswer: 12*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*x + 60 + 11*x + 71*x**2 + 6 wrt x?\nAnswer: 142*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 282*n**3 + 5*n**2 - 5*n + 5. Let i(h) = -987*h**3 - 18*h**2 + 18*h - 18. Calculate -5*i(l) - 18*z(l).\nAnswer: -141*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9646 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26444)\/6*((-333)\/18 - -17)?\nAnswer: 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 - 4747\/(-517). Let p be -6*(21\/x + -2) + 4. Solve 2*m + 6*o = p*o + 2, -o - 7 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 5*u**7\/42 + 7*u**4\/12 - 5*u. What is the third derivative of o(s) wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 564 = 562 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1367 = 380. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 873*b**2 - 4*b. Let s be q(-2). Round s to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -9) + (12 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/10 + 3187*k**4\/10 + 55262*k**3\/5 + 321608*k**2\/5 + 327584*k\/5 - 706048\/5 = 0. What is k?\nAnswer: -3152, -28, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 8*n - 8. Let l be b(6). Suppose -y + f - 11 = -l*f, 2*f = 6. Suppose 4*a + 2*c = 1 + 1, y*c + 3 = -a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u + 36. Let o(f) = 30*f + 110. Determine 5*o(j) - 16*q(j).\nAnswer: -10*j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062829962 to the power of 1\/4, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1158239545 or -1158239546?\nAnswer: -1158239545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.822 - 0.078. Let t = 1.8 + k. What is the fourth biggest value in -1\/5, -5, t, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15355.67 + -15427. Let j = l - -1.33. Let v = -71 - j. Which is the fourth biggest value? (a) v (b) 7 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + -68. Let a = -3 - -6. Calculate the remainder when ((-6)\/(-5) + 0)*v\/(-12) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 139965.\nAnswer: 139965.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 999 and 9472.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*m**3 + 1939*c*m**2 - c*m - 825*c + 3*m**3 + 3*m**2 - 9*m wrt m.\nAnswer: -6*c*m + 3878*c + 18*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.356, 144, -0.06 in descending order.\nAnswer: 144, -0.06, -1.356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 38*h - 2 = -37*h, 2 = -3*y + 5*h. Suppose 0*x - n - 20 = -5*x, -5*x - 3*n = 0. Sort y, x, 4, -5 in ascending order.\nAnswer: -5, x, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 2:52 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-4 + (-3 - (-28 + 13)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64 less than -0.194?\nAnswer: -1.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25168, -23772, -22376, -20980?\n\"Answer: 1396*t - 26564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(h*h*h*h\/(h**(2\/5)*h)*h))\/h)\/h)**(-5\/2)\/(h**0)**(3\/8))\/((h\/(h*h**(2\/7)))**32)**(-1\/26) assuming h is positive.\nAnswer: h**(787\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-91)\/(-78))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46591691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 54*d**2 - 67*d + 81. Let v(x) = 27*x**2 - 34*x + 40. Let g(h) = -3*f(h) + 7*v(h). What is the tens digit of g(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = 10. Let f be (w + 0)*1 - -10. Solve -3*b + f*b - 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, -4, -1, 0.6, 2\/11, 1, 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 7*m - 69*m**2 + 253*m**2.\nAnswer: 184*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/8, -8, 1791.66 in ascending order.\nAnswer: -8, 0.2, 3\/8, 1791.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/22 - (5 + -5). Let i = 390.228 - 390. Let w = 0.206 - i. Which is the third smallest value? (a) 1\/4 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1237*h*r**4 + 2*h*r**3 + 3*h*r**2 + 6*h + 45*r wrt r.\nAnswer: -14844*h*r**2 + 12*h*r + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-4*(sqrt(891) + 0) - sqrt(891)))**2 - sqrt(891)) + 3.\nAnswer: -9*sqrt(11) + 32079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1308*x**2 - 3*x - 3. Let g be r(3). Let b = -117711\/10 + g. Calculate the common denominator of b and 2 + (-4 - 42\/(-13)).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k - 1. Suppose 0 = 3*g + 7 - 4. Let x be 6*g*(-3)\/(-6). Let i be s(x). Solve i*u + 5*o - 3*o = 3, -4*o + 20 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/196*(-511)\/(-219).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31912, 31856, 31762, 31630, 31460?\nAnswer: 31252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50253 or -3251?\nAnswer: -3251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -2. Let a(u) = u**3 + 4*u**2 - 7*u - 3. Let c be a(n). What is the units digit of (0 + (-6)\/(-7))*c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.93 - -0.53. Let m = 2 - 1.9. Let d be (-3 - -5) + -5 + -1. What is the nearest to m in d, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = -2*v, -v - v - 4*q = -6. Let s(a) be the first derivative of 455 + 1\/3*a**3 + 1\/4*a**4 - a - 1\/2*a**2. Calculate s(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517344307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493 + 663 = 17*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847247189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 + 0.4\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*r = -61, 2*r + 2*r = 2*n - 4. Suppose 14*i + 5*d = 12*i + 80, -3*d - 48 = -2*i. Calculate the greatest common divisor of n and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*-1*(1 + -2). Suppose 4*q - q - 12 = 0. Suppose -5 = f - o*w, 2*f - 2*w = q*f - 30. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 4, 415, 146 in decreasing order.\nAnswer: 415, 146, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14117.42 - -4187216.9?\nAnswer: 4201334.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 256\/18 + 4\/(-18). Let d(m) = m**2 - 2. Let k be d(4). What is the highest common divisor of k and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t + 6*t - 3*t**3)*(0 + 4 - 2) + 2*t**3 - t**2 + t**2 as n*t**3 + c + w*t**2 + b*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 21 = 4*r, 7 = 2*r - 2*z + 19. Let s = 0.56 - -3.5. Let w = s - 0.06. Which is the third smallest value? (a) 2\/9 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1324691, -1324688, -1324683, -1324676, -1324667?\n\"Answer: n**2 - 1324692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -208 - -210. Let o(b) = -b**3 - 6*b**2 + 6*b - 2. Let v be o(-7). Solve -15 = -0*y + 2*y - v*h, -h = -r*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -19*o + 1. What is r(4)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-238)\/(49 - 168))\/((-4)\/38)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 2. Suppose 9*c = 11*c - 16. Suppose -4*i + 5*i = c. Let p be -4 + (-5)\/(-10)*i. What is z(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 18 = h, -5*h + 4*l - 23 = -49 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 178239, 356498, 534815, 713220, 891743, 1070414?\n\"Answer: 5*i**3 - i**2 + 178227*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.81 + 0.09. Let c = a - 0.8. What is the smallest value in -4, -2, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1147 divided by 31\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116678443 or -116678440?\nAnswer: -116678443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/51 and (6\/(-36))\/((-25)\/(-305)).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i - 10. Let s be j(4). Let p = 46 + s. Let o(m) = -14*m**2 + 5*m**2 + p*m**2. Let y(h) = -10*h**2. Determine y(o(g)).\nAnswer: -250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-14) - (15099\/(-49) - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 39221260.\nAnswer: 1\/3017020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.581 + -950.021. Round l to the nearest ten.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 26.01.\nAnswer: 182.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -24608041?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -22. What is the common denominator of -22\/3 and (b + 298\/108)*-33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4069215 and 14920455?\nAnswer: 44761365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2507 and 7338173?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674, -1320, -1966, -2612, -3258?\nAnswer: -3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20430437*v**4 + 15676028 wrt v?\nAnswer: -81721748*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 2331012?\nAnswer: -2330331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a + 1208 = -592. Let w(f) = 2*f**2 - f. Let y be w(-1). Suppose k - q + 15 = -6*q, y*k + 2*q = 20. Calculate the highest common divisor of a and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:18 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9406 - -2.940577021. What is j rounded to 7 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -1\/5, 1, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233388480 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z + 1267. Let w(f) = -2*f + 9. Calculate t(c) + 4*w(c).\nAnswer: 2*c + 1303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1137*p + 6016 - 21216 - 2992 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 3\/5 (c) -0.2 (d) 1\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.14, -5, 0.4, 3, -0.7, -3 in descending order.\nAnswer: 3, 0.4, -0.7, -3, -3.14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23306250 divided by 7458.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/135*(-15)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0 = 4. Let f = -6 - -3. Which is the second smallest value? (a) -5 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 678776?\nAnswer: 3393880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 9:22 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 3 - (17 - 49 - -15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-183)\/2*(6630\/6624 + -1) and 55\/18?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + ((sqrt(51) + sqrt(51)*2)\/sqrt(3) + -2 + (-3 + sqrt(17)*-1)*2)**2.\nAnswer: -16*sqrt(17) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1568)\/336)\/((-60)\/135)*8\/66?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 1:12 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 4, a: 3}. Give prob of sequence aoa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1804 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4640900651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40211351 (base 6) in base 9?\nAnswer: -2122534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 - 6*l - 2. Determine i(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + 1. Let d be -3 + -9*2*o. Let t be -2*(-3)\/(18\/d). Solve -2*h = -7*h - 2*s - 5, -t*s = -5*h + 30 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2714\/(-3068)*(-3)\/69)\/(2\/(-4)*1).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n*z**3 - 3*n*z - 124*z**3 - 3*z**2 - 1903*z - 2 wrt z?\nAnswer: 84*n*z - 744*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-21)*1)\/(144\/(-126)). Let f be (-80)\/(-35) - 2\/7. What is the second biggest value in f, v, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, p: 17}. Give prob of sequence mppp.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.1 - -55.1. Which is the nearest to -5? (a) -2\/11 (b) 4 (c) 5\/4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3716 divide 214695616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -aa886 (base 11) to base 15\nAnswer: -3298c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = -l + 4, -3*l - 23 = -4*q. Solve 0*i - q*i = -p + 1, -5 = 5*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t**2 + t + 1. Let b be k(-2). Suppose -b*l + l = -20. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-8 - -7 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 + 75.032. Let l = v + -0.032. Let z = 3 + -1. Which is the closest to 0.1? (a) l (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = 0, 0*f + 4*f + 2*g = 2. Let k(b) = 3*b**3 - 3*b**2 + 5*b - 3. Determine k(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 - c - 4. Let t be s(3). Solve -h + y = -0*h - 7, 5*y = -t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938*t - 6*t**2 - 14*t**2 - 4*t**2 + 2*t**2 + 10*t**2 + 938*t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c - 12*c + 8*c - 5 - c**2. Let x be 9\/(1\/2*-2). Is 20 a factor of j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -64 (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1656 divided by 207\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z**2 - 2. Let h be w(4). Let d be h\/(-4)*(-2 + 4). What is the biggest value in 3, 2\/7, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -72. Suppose -242 = -p*d - 754. Let j = 230 + d. Is 34 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0 + 2\/3*z**3 + 0*z + 5*z**2 - 1\/24*z**4. What are the prime factors of a(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1597238 (base 11) to base 9.\nAnswer: -5102575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 495\/16. Let c = -56 + 53. Let p be (14\/c + 5)*(-12)\/2. Is u at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 5*o**2 - 8*o - 5. Let r(n) = 2*n**3 + 2*n**2 - 4*n - 2. Let v(y) = 2*p(y) - 5*r(y). Factor v(m).\nAnswer: -4*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.06 (c) 15 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 + 0 + -6 + 0 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13860, -56847, -128506, -228849, -357888?\n\"Answer: -2*c**3 - 14324*c**2 - c + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -29. Suppose -6*m + 0*m + h = 0. Suppose 2*z = 3*y + 15 - 69, 75 = 3*y + m*z. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonllkllnkklolonn. Give prob of sequence kk.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivgkkvgngnvngkngnn. Give prob of picking 1 v and 1 n.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 3) to base 13\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390888 and 2937?\nAnswer: 4299768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s - 32*s = -231 + 1223. Let b(l) = 4*l - 12 - 8*l - 39. Let f be b(s). What is the greatest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241254052111\/1974 + -122215815. Let m = -12\/329 + v. What is the common denominator of (-178)\/(-4) + 7\/14 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -2. Let q = -3 - p. Suppose 0 = -l + 3*l + q, 5*l = -3*g - 13. Let s(r) = 3*r. Determine s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 310, 2512, 8484, 20110, 39274, 67860?\n\"Answer: 314*y**3 + y**2 + y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -34*m**2 + 1. Let r be z(-1). Calculate the remainder when 0 - (4 - 2) - r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 15 + 0\/(2*-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l + 3*g = -40*l - 28, 3*l + 5*g = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + v. Let h be r(1). Let m = -2473 + 2474. Suppose 0 = -0*x - h*x - 3, m = l + 2*x. Solve -4*t - l*c = -c - 8, t - 5 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -37, -144, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38\/7*r + 6\/7*r**3 + 0 - 16*r**2 = 0. What is r?\nAnswer: -1\/3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 17 = 3*d - 4*q, -3*d = -q + 13. Let c(y) = -3*y - 5. Let h be c(d). Suppose -3*v = 4*p - 8, -2*p + h*p - 14 = -4*v. Solve 5*z = z + v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -4765113?\nAnswer: -4765112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 4*j**2 + 51*j - 140\/3.\nAnswer: -(j - 7)*(j - 1)*(j + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-122368*m**2 + 121389*m**2 + 0*m + m)*(-2*m**2 - m**2 + 0*m**2) in the form h*m**3 + q*m + b + p*m**2 + s*m**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161950909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 232*h**2 + 236*h**2 - 475*h**2. Let f(n) = 7*n**2 + 5*n**2 + 12*n**2 - 16*n**2. Calculate f(d(x)).\nAnswer: 392*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 - u**3 - u**3 + (-u - 3*u + 3*u)*(4 - 4 + u**2 - 5*u**2 + 7*u**2 + 6*u**2 + (3*u - 3*u + u)*(-1 + 2*u + 1)).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 157*v. Let d(a) = 4*a + 73. Give d(w(l)).\nAnswer: 628*l + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1334, -2661, -4002, -5363, -6750, -8169, -9626?\n\"Answer: -t**3 - t**2 - 1317*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 27*k. Let c(q) = 9*q - 4. What is c(v(j))?\nAnswer: 243*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5019 + -2846. Suppose 15*b = s + 1352. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253\/4 + 63. Let u = -5 - -4.5. Let l = -4.5 - u. What is the third smallest value in l, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (153028\/36 - (-8)\/36) + -3. Let i(r) = -y + 4248 - 2*r. Let c(a) = 7*a**2. Give c(i(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -12 + -8 - -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-18) - (-474)\/18. Solve -y + 3 = -5*q - a, 4*q = -y - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-22 - (-11 + -2)) + 7 - -3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a + 0*a + (-2*a + a + 3*a)*(2 + 4 - 4) - 5*a + 2*a - 10*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1087359840 divided by -1294476\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2997 and 135070128.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (8 - 5) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 449\/66 + 16\/165. Let n be (-784)\/(-382) - (-2 + 4). Let t = -9047\/1337 + n. Calculate the common denominator of v and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494588 is divided by 110?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 14*p - 18. Give t(13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37692251.999941 + -37692337. Let j = -85 - l. Round j to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 34. Let f = -18 + k. Let d(h) = -h**2 - 9*h - 4. Does 2 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*m - 21 = -7, -x = m + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/56 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - l + 21 = 0, -122*f + 5*l = -117*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 + 8*s**2 + 64*s = 0.\nAnswer: -4, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 10*v**2 + 24*v + 29. Determine k(-9).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-3 + 6\/1). Let f(u) = u**2 + 5*u - 9. Let a be f(v). Sort 3, -1, a.\nAnswer: a, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1799 - 1789. Solve q = -4*b + 20, 5*q - 2*b = 4*q - z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 25*l + l**2 - 1 - 8*l - 7*l. Determine w(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -584\/3 or -196?\nAnswer: -584\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 931 = 4*y + 4*n, 4*y = -4*n + 932. Let k = 876 - y. What are the prime factors of k?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 10. Give i(-29).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p\/(p\/(p*p*p*p**18*p)*p*p))*p**(3\/2)\/p*p**(-4\/3)*p*p**19)**(-20\/9) assuming p is positive.\nAnswer: p**(-70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -m + 5*a, 5*a = 4*m - 8 + 9. Let j(k) = -14*k + 14. Let z(n) = -5*n + 5. Give m*j(v) - 17*z(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 15 - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 27*i**3 + 18*i**2. Let r(n) = n**3 - n**2. Let t(c) = 3*r(c) + x(c). What is the third derivative of t(a) wrt a?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 1516060801.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006 - 165.\nAnswer: -165.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 + 361. Let y = -49 + i. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.52*5\nAnswer: 32.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-3))\/((-1120)\/105 + 11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 17. Let u be k(13). Suppose 0 = -3*q + 4*b + 106, -4*q + u*b = 2*b - 128. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6385 or -491570\/77?\nAnswer: -6385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -177*i**5\/5 + i**4\/4 - 41*i + 799. Find the first derivative of k(l) wrt l.\nAnswer: -708*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15196999 is divided by 3250?\nAnswer: 3249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 25*f**2 - 9.\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/184 and 79\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4) - -2)\/(8541\/(-19929)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(704) + 5 - sqrt(22)\/(sqrt(162) - sqrt(162)*2))**2.\nAnswer: -710*sqrt(11)\/9 + 57476\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 + 5*d**2 + 5*d**2)*(-d + 3*d - 3*d) - 17*d - 4*d**3 + 17*d.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -92, -192, -310, -440?\n\"Answer: a**3 - 18*a**2 - 29*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-6)\/33 - 19112\/(-88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27249 less than 271?\nAnswer: -26978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -58*s + 14. Let x(d) = 19*d - 4. Give 2*q(g) + 7*x(g).\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:17 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1145, -2, -5 in descending order.\nAnswer: 1145, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*7\/84*(-27)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63847928 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.637 + -0.73. Let t = f - -0.09299914. What is t rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956983?\nAnswer: 7, 263, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 3792?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 6 = -l, -5*l - 10 = 0. Suppose 0 = n*s - 3*s - 55. What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/3 + 17*r**4\/3 - 20*r**3\/3 - 12*r**2 = 0.\nAnswer: -18, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 842 - 4212\/5. What is the smallest value in p, -0.1, -30, 5, 3\/2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5281, 9023, 12765, 16507, 20249, 23991?\nAnswer: 27733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 534253300 and 420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-630)\/(-525)*10*(-5)\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -4*n**3 + 30*n**2 + 9*n - 3927. Give j(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 - 5 = 0. What is the smallest common multiple of 4 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45, -75, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 0*w + 0*w**2 - 1\/21*w**6 + 2 - 6\/35*w**5 - 2\/21*w**3 - 3\/14*w**4. Determine f, given that m(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - n + 8, -4*j - 2*n + 21 = -3. Suppose -2*d - 14 = -j*d. Solve y + 3 = -d*f + 4*f, -f = -3*y + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10168978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-4)*(-20)\/75. What is the second smallest value in -1\/5, 2, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5 (c) 2\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 576 + -249. Suppose 0 = -5*n - k + t, 0*n + 59 = n - 3*k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + k**2 - 18*k**4 - 89 - 2*k**3 + 86 - 2*k in the form b*k**3 + x*k**2 + h*k**4 + n*k + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.872cm in nanometers?\nAnswer: 7608720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10608 + 10622 - 23254 = -581*i for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 - 2 = q, -5*r - 5 = 5*q. Is r greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280*n = -1298*n + 54 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-2 + sqrt(128) - sqrt(128)))*5 + -3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1808)\/(-40) - 2\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 33 - 55*i**2 - 1261*i**2.\nAnswer: -1316*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 158*n + 18 + 178*n - 6 - 10.\nAnswer: 20*n - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206480 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 56.2. Which is the fourth biggest value? (a) -1 (b) -1\/4 (c) 4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4) + 11\/(-22)*(-1216 - -3). Does 2433\/4 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 28487 = 5*k, 215*k - 212*k = 2*m - 14245. List the prime factors of m.\nAnswer: 2, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2579.8 and 777.\nAnswer: 2004504.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 317\/5 + 2\/(-5). Let o be (-26)\/(-65) - -3*(-1872)\/(-135). Calculate the greatest common factor of o and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 1692*n**2 - 3372*n - 1684.\nAnswer: -4*(n + 1)**2*(n + 421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482178.1 centimeters to micrometers.\nAnswer: 4821781000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1749 (base 16) in base 6?\nAnswer: -43333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1584) + sqrt(1584)*2 - -5*1*sqrt(1584))*1 - (sqrt(1584) + -6*(sqrt(1584) + -1 + sqrt(1584)) + 1)*2)**2.\nAnswer: -12240*sqrt(11) + 1425889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*k - 128 = -99, 0 = 2*p - 2*k - 18 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 3. Suppose 3*s - 36 = 9. Suppose -3*t = -5*z - s, -t + 7 + 5 = -4*z. Which is the closest to t? (a) x (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 88*n**7\/35 - 3869*n**4\/24 - 3*n**2 - 341. Find the second derivative of z(x) wrt x.\nAnswer: 6336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2495972 + 34.9\nAnswer: 2496006.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 4, r: 4}. What is prob of picking 1 r and 3 j?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8846, -1.17 in descending order.\nAnswer: -1.17, -4, -8846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*t**2 + 4500*t?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 967941 and 504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729642.5 weeks to nanoseconds.\nAnswer: 441287784000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1341.96 - -1333. Round p to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**3 + 3*s**2\/2 - 5992*s. Let t(l) = -17*l - 8. Suppose 5*g = -3*j + 48, -6*j = -j - 3*g - 46. Calculate j*r(u) + 4*t(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**6*w*(w\/(((w\/(w*w**(-7\/4)\/w))\/w)\/w)*w)\/w*w)\/(w*w*w**(-2)\/w*w*w)**8 assuming w is positive.\nAnswer: w**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/5, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*i**3 - 3 + 7 - 10*i**2 + i**4 - 3*i**4 - 10*i + 8*i**4 = 0. Calculate i.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*f - 217, 34*q = 30*q - 2*f - 158. Find the common denominator of (6\/(-28))\/((-180)\/4130) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0178 in -0.3, 0.202, -3, -0.5, 3\/2?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-21)*(-102)\/(-136) + -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6945*o + 34726. What is j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*r - 35, 16*c - 55 = -4*r + 19*c. Let v be (4 - (2 + -1)) + 2. What is the highest common factor of v and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 86912?\nAnswer: 86912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p + 3. Let l be v(-2). Suppose 2*q + 5*d = 3*d + 10, -l*q + 55 = -5*d. What is the highest common divisor of 20 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 935 (c) -3\/416 (d) 0.3 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 60, 100, 144, 186, 220, 240?\n\"Answer: -o**3 + 11*o**2 + 4*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272 + 268.82. Let c = -0.18 - w. Let q = -1395\/11 + 127. What is the nearest to q in -6\/7, -2, c?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 24. Let l(u) = u**2 - 11*u + 16. Let g be l(c). Solve -b + g = 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 10*w - 36. Let j be q(11). Let i be 6 + -8 + j\/88. Put i, 0.3, -4, 0.2 in descending order.\nAnswer: 0.3, 0.2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -23*u + 206 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*24\/2112*22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*d + 6*d - 20, -2*n + 5 = d. Suppose -j + 4*j - 15 = n. Let u(a) = j + 3 + 9*a - 2. Let b(p) = 8*p + 5. What is -6*b(r) + 5*u(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -59, -175, -399, -767, -1315, -2079, -3095?\n\"Answer: -6*u**3 - 2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + 2\/(-8). Suppose -16 = -j*s - 4*s. Suppose -3*d = 4*w - 3, 5*w = -d + s*w + 1. Solve -4*q - 20 = 0, 3*l + 2*q - d + 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3.8. Round c to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yytp when four letters picked without replacement from {t: 6, p: 1, y: 7}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 11:01 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 138*x**2 + 60*x + 5588. What is p(70)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 3\/(-6))*0. Suppose 11*q - 9*q - 66 = x. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -5224101?\nAnswer: 5224034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -625.8 + 623.8. Sort 1\/4, i, 4, 2, 0.3.\nAnswer: i, 1\/4, 0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1687 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 895540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111451891 - 111451891 + 9*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4637 + 4637. Solve 12*o - 60 + s = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 917 = -2603. Let a be -125*((-4)\/10 - 0). Suppose -q + a = -3*g. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*t = 3*t - 26, 8 = 2*t. Calculate the remainder when 27 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 486*g**2 - 2426*g - 20.\nAnswer: 2*(g - 5)*(243*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 282.059g?\nAnswer: 282059000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -681*o**4 - 4*o**2 + 10*o - 637. Let r(x) = 681*x**4 + 5*x**2 - 12*x + 636. Let f(c) = 6*j(c) + 5*r(c). Find the first derivative of f(s) wrt s.\nAnswer: -2724*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e (base 15) to base 14.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1075 + 289 = 0. List the prime factors of g.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, -1, 610, 4 in increasing order.\nAnswer: -4, -3, -1, 0, 4, 610","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 1\/120*p**6 - 1\/40*p**5 + 1\/3*p**3 - 1\/12*p**4 + 0*p + p**2 + 0 + 1\/420*p**7. Factor d(g).\nAnswer: (g - 1)**2*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {x: 1, u: 3, f: 1, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) - ((-1164)\/(-60) + -19)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 - 241?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/60 + s**4\/3 + 3*s**3\/2 + 5*s**2 + 24*s. Determine r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -350*m**3 + 21*m. Let s(q) = 35*q**3 - 2*q. Give 2*p(k) + 21*s(k).\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let w(t) = -t**2 - t + 1. Let k be w(-1). Let z = 320\/3009 - -2\/177. Which is the closest to k? (a) i (b) z (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.19 + -11181\nAnswer: -11175.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -11. Let g be ((-114)\/o)\/(5\/(-20)). Does 19 divide 3*(-3)\/9*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -55, 39 in increasing order.\nAnswer: -55, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + 1 + sqrt(147))*-4*4 - (-5 + -2*sqrt(147) - (sqrt(147) + (-2*(sqrt(147) + sqrt(147) + -1) - sqrt(147)))))*-3)**2.\nAnswer: -88452*sqrt(3) + 442341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*x - 0*x - 260, -5*z - 82 = -x. Calculate the highest common divisor of 931 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2660*t - 3933. What is the units digit of w(-31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 - 2*b**2)*(-2 + 2 - 3*b) - b**2 + b**2 + 2*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 586589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2 - 0. Does 15 divide (y*-43)\/((-2)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-178)\/(-4) + 4\/8. Suppose 5*h - 40 - b = 0. What is the remainder when h is divided by 19\/2 - (-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75 + -6 + 0\/1. Suppose -4*p - 89 + g = 0. Let n(y) be the third derivative of -y**4\/12 - y**3\/2 - y**2. Give n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let s(n) = 115*n. Let a(v) = -92*f(v) + s(v). Let w(h) = 2*h - 2. Let j(m) = 1. Let q(o) = -2*j(o) - w(o). Determine a(q(k)).\nAnswer: -46*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 773110 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14 + a**3 + 2 - 6*a - 10. Let y(v) = -10*v**3 + 65*v - 65. Calculate 65*j(h) + 6*y(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.491 and 85193384717.\nAnswer: 85193384714.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 76, 286, 636, 1126?\n\"Answer: 70*s**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 10. Let d be v(15). Suppose -f - 3*i = f - d, -3*i = 5*f - 116. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 9 = 512*c - 516*c, 0 = 6*m + 2*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -89 and 24.272?\nAnswer: 113.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 918 times -122\nAnswer: -111996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 11:43 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/12 - 4*p**3\/3 - 11*p**2 - 70*p. Determine i(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16089 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*u = -171*u + 5*t - 14, -t + 2 = -u. Which is greater: u or 107\/24?\nAnswer: 107\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1 - -1) + 2. Let a be (-4)\/(-24)*3*28. Suppose a = s*y - y. Calculate the least common multiple of y and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*b - 9. Suppose b*z + z - 3*i + 306 = 0, 0 = -3*z - 3*i - 306. Let l = -73 - z. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvdhvvhvhhddhvhvd. What is prob of picking 1 v and 1 d?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/7, -4, 2\/37?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 9*s**2 + 7*s + 8. Let o be i(8). Suppose o = 3*h - h - 24. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307727416 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-627100)\/(-26) + 1059\/(-4589)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 203177102 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7268.41 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6 + o**3 - 68096*o**2 + 3 - 3*o + 68095*o**2. Determine f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6512 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03543082072 to 5 decimal places.\nAnswer: 0.03543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/4*(-96)\/168*3\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 73. Let b be s(4). Let d(x) = -x**2 - 66. Let f be d(0). Let l = -40 - f. What is the greatest common factor of l and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3019\/13464 - 3\/1496. Suppose m + 0*n**3 + 2\/9*n**4 + 0*n - 4\/9*n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.2. Let l = 7.9 - 7.6. Let b be 1*(1 - (-2 - -2)). What is the closest to r in -0.3, b, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 25. Suppose -3*b + 3*i - p = -6*b, -3*i + 9 = -3*b. Let m(z) = z**3 + z**2 + z + 9. What are the prime factors of m(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + (-4)\/1 + 2. Let f = 24 - k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12695309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11484 and 243252?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -5, -2, 45, -333 in increasing order.\nAnswer: -333, -5, -4, -2, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573.2 - -0.1?\nAnswer: -1573.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -18*d. Let z(i) = -2. Let u(a) = -3*a**2 + 4. Let s(j) = u(j) + 2*z(j). Give b(s(h)).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 8.28101, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -79214*j + 950593. Calculate i(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -2\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/34)\/3*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-16)*(9272\/(-171))\/(-61))\/((-1)\/(-23)).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 32 + 0*r - r. Let i be b(-14). What is the third derivative of -17*f**3 + i*f**2 - 28*f**2 - 4*f**3 wrt f?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002557371592 to seven dps.\nAnswer: 0.0025574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/21 and -30\/1793?\nAnswer: 37653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44451, -179704, -405125, -720714, -1126471, -1622396?\n\"Answer: -45084*m**2 - m + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 39*y + 41*y = 6, 2*y - 10 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*((-36)\/(-63) + (-371)\/392).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -1. Let d be 9\/30*12\/n. Sort -0.5, d, 3.\nAnswer: -0.5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/16)*f\/f**(9\/4))\/(f**(-2\/19)*f*f*f*f\/(f**5*f)))**(-3\/43) assuming f is positive.\nAnswer: f**(-1749\/13072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erdgdqrfe. Give prob of picking 1 d, 1 g, and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 0*o**3 + 41 + 7*o**3 + 0*o**3 - 11*o**3.\nAnswer: -2*o**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752\/365*5\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msi when three letters picked without replacement from vmmmmfvmmisavfsmms.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1262468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 + (-26 - (-22 + 14 + -2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13\/2 (b) -2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120457, 120465, 120473?\nAnswer: 120481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262989*f + 87783*f + 87779*f + 87984*f.\nAnswer: 557*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8932504 and -3.\nAnswer: -3.8932504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 759023059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-6)*(-9)\/(-6). Suppose -g*l - 6 = -106. Let u(z) = -z. Let w be u(-8). What is the greatest common divisor of w and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 7 = -3*h, -9464*d + 9460*d + 3*h = 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59275 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25982993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 63*b + 5. Let u be z(5). Suppose 4*n = 5*m + 75, 359*n - 355*n - 61 = 3*m. What is the highest common factor of u and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -18*n + 4. Let i(r) = -r**2 + 5*r + 34. Let f be i(-4). Calculate j(f).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 2, -3\/128, 1, 0.3, -3\/35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 140*p**2 - 1421*p + 1540. Let u(j) = 7*j**2 - 71*j + 77. Let x(h) = -119*u(h) + 6*z(h). Let b(g) = -g + 1. Determine 154*b(a) - 2*x(a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h**2 - 4*h + 3. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l - 10*l - 2 + 12*l)*(-9 - 8 + 3).\nAnswer: 238*l + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -10, -9, -10, -13, -18?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1053.0744*-0.3\nAnswer: 315.92232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 2)*2270\/15. Is -454 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 2*i**2 + 2*i**2 + i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74324.\nAnswer: 2, 17, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (-6 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348 smaller than 1379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 391*u**2 + 37635*u + 37253. Let g(t) = -2*t**3 - 781*t**2 - 75270*t - 74505. Let v(p) = 4*g(p) + 7*s(p). Factor v(b).\nAnswer: -(b + 1)*(b + 193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28952183 is divided by 298?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o. Suppose i - 2*z + 4 = o, z + 0*z - 17 = -2*i. Is (2\/i)\/((-1)\/(-57)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l. Let x(f) = -1. Let c(h) = -15*h - 15. Let u(n) = c(n) - 15*x(n). What is u(q(z))?\nAnswer: 45*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16423 + 2*u**3 + 2*u - 6*u**3 + 8133 + 8813 to the form o*u + v + y*u**2 + h*u**3 and give v.\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58323707 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3104 and 10905904?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - 0.02. Let f(m) = -m**2 + 7*m + 39. Let j be f(11). What is the closest to l in -0.3, j, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-266)\/(-42))\/((-5)\/(-30)) and 118?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + u - 2790*u**3 + 5540*u**3 - 2753*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -767*d**3*z - 24*d**2*z + 78*d*z - 2*d - 4*z + 2 wrt d.\nAnswer: -4602*d*z - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - (2 + 15\/(-3)). Let u be (-1362)\/8*92\/(-69) + (12 - 15). What is the highest common divisor of u and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246288, 246310, 246332, 246354, 246376, 246398?\nAnswer: 246420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**2 + 66492*c - 53184.\nAnswer: -3*(c - 4432)*(5*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = u. Let d be 3\/u + (1 - -3). Let k(r) = 4*r**2 + 50*r + 28. Let z be k(-12). Solve -7*q + z = -d*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 != -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17379, -68118, -152205, -269634, -420399, -604494?\nAnswer: -821913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -14.7. Which is the biggest value? (a) 0.2 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 4*t - 54, 950*n - 5*t - 45 = 955*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 5. Let t be (1\/f)\/((-6)\/(-1188)). What is the greatest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/16, -3, 2, -1\/8, -0.061, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 125, 238, 351, 464?\n\"Answer: 113*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*h**3 - 109*h**2 - 68*h + 4.\nAnswer: -(h + 1)*(h + 2)*(37*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.06 + -0.06. Let m = s + -4.3. Let j = 0 - 0.2. What is the third smallest value in -2\/17, m, j?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/2 + -1)*48\/72. Suppose y*p - 15 = 31. What is the remainder when 110 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-3))\/((-48)\/((-134784)\/182))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b - 13. Let v(y) = -23*y - 40. Give -11*c(n) + 4*v(n).\nAnswer: -4*n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -155 + -34 + 173 - 80.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 4, 3\/5, -0.03, -345?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -911 bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.11.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 - -3. Let p = 339 + -341.87. Let t = p - -4.87. Which is the closest to 1? (a) s (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -2043 - 4853. Let x be 1\/5*(-35)\/(-14)*q. Suppose x = 2*b + 173. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*r**2 - 1\/4*r**3 + 69\/4*r + 45\/2.\nAnswer: -(r - 15)*(r + 2)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54.65 and -107?\nAnswer: 5847.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 457086444 to the nearest integer?\nAnswer: 21380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q = 24. Let z be 207\/q*(-4)\/3. Is z*(-1)\/(2\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294\/13 + 4972\/221. Which is the closest to -1? (a) 0 (b) r (c) -7 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -382*l + 11095. What is x(31)?\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 11*j**4\/4 - 11*j**3\/6 + 2*j**2 + 207. Suppose 5 = -3*y + 4*y. Is t(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 14*i**2 - 17*i + 25. Let v be c(15). Let o(p) = 3*p**3 - 5. Let x(w) = -3*w**3 + 4. What is v*x(g) - 4*o(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*h - 8 - 64, h = -2*c + 2*h - 20 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 334527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 111*y**2 - 55*y + 2. Let b be s(-55). Sort b, -2\/33, 5, -3 in ascending order.\nAnswer: -3, -2\/33, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1968 divided by 24\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*n - 852 + 798 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkgk when four letters picked without replacement from {k: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621 divided by 6?\nAnswer: 1621\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*s + 16, 2*z + 3*s = -16. Sort -2, 22, 10, z, 0 in descending order.\nAnswer: 22, 10, 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q = 0. Suppose -5*n + 58 + 117 = q. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z**2 - 10*z**2 + 22*z**2 + 18*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)*z)\/((z\/z**16)\/z) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiaaaaaa. Give prob of sequence ii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*w**2 - 396*w**2 - 1369*w**2 - 6017*w**2 - 18794*w**2.\nAnswer: -27162*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 2*m - 3. Let p be r(-5). Let l be (-376)\/(-7) - p\/(-42). Let s = 82 - l. Solve -5*w + s = 3*o, 2*o - 6 = -w + o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + -7?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*d + 60, q = 5*q - 12. What is the greatest common divisor of 136 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 7. Let j be q(5). Let w = j + -2. Suppose -5*u - 15 = 4*o, -u - w*o + 5*o - 4 = 0. What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 44 + 20. Let c be 16\/10*15\/6. Let g = v - c. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:21 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/3*6\/4. Suppose z*g = -2 - 2. List the prime factors of 10 - (g - 1\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:38 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690490 is divided by 690486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -1382577633.72.\nAnswer: -1382577630.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 570252?\nAnswer: 2281008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**4\/4 - 2*w**3\/3 + w - 3. Let x be h(1). Suppose -u = -5*m + 1, x*m + 4*m = u. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 - 40*o**3 + 35*o**2 + 250*o - 240 = 0.\nAnswer: -8, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6)\/(-4))*177\/(-59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963637964.\nAnswer: 2, 97, 2483603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 35*s + 110. Give z(31).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/9, 2, 5, 0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2733*18\nAnswer: 49194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -213f5 - 1?\nAnswer: -213f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40305.6 and -0.4.\nAnswer: 16122.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-15))\/(4\/(-355)) and (85\/2295)\/((-8)\/(-524)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**3)\/l*l)**(-41)\/((l\/(l\/l**(8\/7)))\/l)**(2\/17) assuming l is positive.\nAnswer: l**(9756\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25)\/(1 + -2) + -1 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -43*z + 1080. Let k be n(25). Solve 0 = v - 6*c + c - 8, 0 = v - 2*c - k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/7 < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 3*u**2 - 2. Let s be x(2). Solve 4*f + 4 = -3*c, 0*f + s*f = -2*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0, -1\/2, 0.9, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 = 6. Suppose -2*x = -0*x - o*r - 3, 2*x + 2 = -2*r. Let t**3 + 1\/2*t**5 + 0*t**2 + 3\/2*t**4 + 0*t + x = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2003155, 2003156, 2003157, 2003158?\nAnswer: 2003159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 31*y + 23. Let a(r) = -4*r**2 + 45*r - 35. Let d(g) = -5*a(g) - 7*t(g). Give d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Suppose 139*r = 134*r + 420. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*c - 40 = -4*b - 68*c, 0 = 2*b + c - 20. Solve -g + t = -b + 13, 4*g = -3*t - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60504493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.52 + 13.89. Let l = -7.34 - 2.66. Let p = l - n. Round p to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 98*f**3 - 5*f**2 - 3. Let q be x(4). Suppose 2*m - 7*m + q = i, 0 = 2*i - 8. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000165009 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 3. Does 2 divide h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 5. Let p be ((-72)\/(-40))\/((-3)\/10). Let k(u) = 2*u + 3. Calculate p*t(m) - 11*k(m).\nAnswer: -4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*x**4 - 2*x**4 + 2*x**2 + 2*x - 1 + 2*x**2 to the form o + y*x**2 + v*x**4 + a*x**3 + c*x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -331, -310, -283, -256, -235?\n\"Answer: -u**3 + 9*u**2 + u - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1475, 2947, 4429, 5921?\n\"Answer: 5*g**2 + 1457*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 5}. Give prob of sequence ar.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 732 in decreasing order.\nAnswer: 732, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22341*r**4 - 9238*r**2.\nAnswer: -536184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/24 and 101\/28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*m - 2*m = -3, m + 40 = -5*a. Let v(i) = -2*i + 10. What are the prime factors of v(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + 99. Suppose -148 = -4*k - 0*k - 4*i, 0 = -3*k + 2*i + s. Let d be (5\/10)\/((-4)\/(-80)). What is the greatest common divisor of d and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 0*w - 3*w**2 + 6*w + w**3.\nAnswer: -3*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 14251788?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4305 and 34524.\nAnswer: 7077420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -3\/839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 450 = 3*z. Suppose 0 = 4*d - z - 490. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16970 - 9555. List the prime factors of z.\nAnswer: 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688632 is divided by 1371.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*u**2 - 1313*u**2 + 552*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (1*(sqrt(539) + 1) + sqrt(539) - (4 + 0 + sqrt(539))) + -4 + (sqrt(539) - (-1 + sqrt(539)*-1)) + -4)**2.\nAnswer: -294*sqrt(11) + 4905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j. What are the prime factors of (-2 + j)*(-46)\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (-8 - -13) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 4) + 5 + -1. Let a be -1 + (-2 - 0) + z. Solve 2*y = -4 - a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692, 2156, 3664, 5216?\nAnswer: 6812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265 + 144. Let b = 120.99903 + k. Round b to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 4*j + 2. Suppose 5*c - c = 12. Suppose -2*o = -c*o - 5. List the prime factors of r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 5, 4, 1, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -49, -1, 3\/17 in descending order.\nAnswer: 3\/17, -1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/6)\/(-1)*23\/(-138)*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 489806 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*l + 5, l - 3*q = 2*q + 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 267*o + 161*o + 42*o)*(-1 - 2 + 4)*(-5 + 4 + 3).\nAnswer: 940*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25 - 23 - ((-6)\/(-14) - -1). What is the nearest to l in -2\/15, 5, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1212 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 15df?\nAnswer: 15df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/3268799 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let r(o) be the first derivative of -o**4\/4 + 3*o**3 - 5*o**2\/2 - 18*o + 50. Let q be r(7). Solve -y*b - 3*b + q = 5*t, -3*t = -5*b + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 639\/22. Is y greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*z + 900*z + 2936 + 3717 + 2538 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12958 - 12960. Let z(w) = -5*w - 2. Let y(v) = -v + 1. Let p(r) = -2*y(r) - z(r). Calculate p(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/39*-1*4198\/(-2099).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*(-108)\/(-8). What is the highest common divisor of l and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 8082.\nAnswer: 129312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 61. Suppose v*l - 20 = 0, u + 2*l = 3*l + 2. Calculate the remainder when 11 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1609 - 528778.\nAnswer: -527169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*y - 11. Let x(g) = 2*g**2 - g**2 + 0 - 6 + 3*g. Let h be x(y). Solve 3 = 2*z - n - 5, -h*n = -3*z + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65023 (base 8) in base 9?\nAnswer: -41222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -806*f**2. Let g(j) = -13231*j. Calculate g(z(d)).\nAnswer: 10664186*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14) - (-8 + (-497)\/(-49))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.101875 hours in seconds?\nAnswer: 11166.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29299.\nAnswer: 83, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9796399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 17*z - 35. Let r be n(19). Suppose 2*p - 142 = -2*i - 0*p, 0 = -r*i - 2*p + 217. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5642893.\nAnswer: 137, 41189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691107.\nAnswer: 3, 230369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7041 rounded to 2 dps?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4) + -1)*-8. Let z be (-228)\/(-48) - (-1)\/j. Solve -4*o + 4 = -z*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401328199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*z + 6 + 2, -z - 19 = -4*f. Suppose -b = -5, -2*l + 0*l - f*b = 517828. Let r = l + 88924. Round r to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012, -1885, -2632, -3253, -3748, -4117, -4360?\nAnswer: -4477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(100)\/(-1*sqrt(2)))\/(sqrt(120)\/(sqrt(12)*-2)).\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -263, 1 in increasing order.\nAnswer: -263, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33152?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from eeve.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042188201?\nAnswer: 3, 3469, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 193, -1, 5 in descending order.\nAnswer: 193, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 7*h - 63 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7470325\/225 - (-4)\/(-9). Let j be -5 - 10\/(-4)*(s - -1). Round j to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196952 and 10?\nAnswer: 984760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:15 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2455191 and 49\/306?\nAnswer: 4910382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -95956, 0.2, 5, 1\/4?\nAnswer: -95956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-234)\/(-12) - 9\/18. Which is bigger: -5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 54*v**2\/5 + 165*v + 3872\/5.\nAnswer: (v + 11)**2*(v + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 6. Let x = 8 - 5. Suppose -4*n = -4*k - 28, -x*k - n + 2*n = 13. Let w be q(k). Solve a - 23 = -5*c, 15 = w*c - 0*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1820 + 2136. List the prime factors of j.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118*r + 218 wrt r?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z**3 - 1\/70*z**7 + 1\/2*z**4 + 0 - 2\/5*z**5 - 3*z**2 + 0*z + 1\/8*z**6. Factor k(q).\nAnswer: -3*q*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28386 by -747.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 0.26 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2458?\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24312 + 24312 + 242*j**2 + (-1 + 3*j - 6*j + 0)*(-4 + 4 - 4*j).\nAnswer: 254*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - 3*k + 2)*(-3*k + k + k).\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28d + 16?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3379, 3378, 3375, 3370, 3363?\nAnswer: 3354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/519894 and -80\/51.\nAnswer: 519894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1258 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let l(t) = 29499*t**2. What is i(l(j))?\nAnswer: 88497*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 292283769 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g**2 - 157*g + 6. Calculate l(16).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -64*u + 68*u - 9, 68*j = -5*u - 310 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 23*y + 193. What is w(-10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432)*2*-5.\nAnswer: -120*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 6, 197 in descending order.\nAnswer: 197, 50, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.312 and 0.09?\nAnswer: 2.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m - 9 = -9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - (-1)\/((-3)\/9). Let p(k) = 2*k - 12. Let t be p(a). Find the second derivative of 26*d + 2*d**t - 24*d - 7*d**2 wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2736)*-1 + 2 - (sqrt(2736)*1*-1 - sqrt(2736))**2) + 3.\nAnswer: -10942 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -5, -0.077?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131374 (base 8) to base 9.\nAnswer: 68761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006737 rounded to five decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*x**3 + 175*x**3 - 356*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*n**4 + 2 - n + 2*n - 126*n**4 + 0 + 61*n**4 + 259*n**3 as k*n**3 + t*n**2 + o*n + p + f*n**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 27 = -p - 7, -2*p + 2 = 0. Let x(h) = h + 10. Let n be x(g). Solve -s + 6 = -n*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 20*q**2.\nAnswer: 5*q**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/12372514 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4\/9, -15, -0.1, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/5 - 2832*o**2\/5 + 1137*o + 8514\/5 = 0. What is o?\nAnswer: -946, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1434*j**2 - 9*j - 3251*j**2 + 9*j - 1712*j**2.\nAnswer: -3529*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5\/3 + 6218*t**4\/3 + 47982*t**3 + 394510*t**2\/3 + 382064*t\/3 + 41760 = 0.\nAnswer: -20, -1, 3132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3 - 17. Calculate the greatest common factor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 6*d**2 + d - 1. Let n = 36 - 32. Calculate the remainder when o(6) is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4383487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/450 - o**5\/25 - 3*o**4\/10 + o**3 + 9*o**2. Let q(v) be the first derivative of s(v). Factor q(d).\nAnswer: -4*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 22*x - 5*n - 21, 3*x = -4*n - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g - 51. Let c be s(-8). Let i = c - 18. Solve i*j = -2*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/((-111)\/(-925))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w + 105. Let d be c(-8). What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -406\/9 - -3287\/72. Let r = 1\/24 - s. Let g = 1 + r. What is the third smallest value in 0.3, g, 1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882.1545 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x - 1. Suppose 3*q + 2 = -1. Is h(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -0.097068724.\nAnswer: 0.00582412344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*p - 33348 = -29320 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2453292.2 to the nearest 10000.\nAnswer: 2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((15 - 4) + -20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137.9 - -9.1. Let r = k - 148.1. Which is the second smallest value? (a) -5 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 9*y**2 - 21*y - 5. Let a be n(-3). Factor 0 - 1\/3*q**2 + 1\/3*q**3 + 0*q - 1\/3*q**5 + 1\/3*q**a.\nAnswer: -q**2*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16078763 = -169*f - 4613972. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, -5, -12 in decreasing order.\nAnswer: 3, 1, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2808 - 1587 = -425*g - 145. Let p be (2\/(-3))\/(1\/(-3)). Solve p = -6*m - g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(6\/16 - 135\/216). Let u(x) = -4*x**3 + 3*x**2 + 7*x - 7. Let o(q) = -2*q**3 + q**2 + 4*q - 4. Calculate a*u(i) + 7*o(i).\nAnswer: 2*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 6.6. Let j(d) = -d + 182. Let n be j(0). Let p = 541\/3 - n. What is the nearest to 1 in p, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-130)\/240)\/((-31)\/(5704\/69)).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092280376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 19. Let r(d) = -d**2 + 10*d + 7. Let x be r(10). Let h be i(x). Suppose s - 2*g + 30 = 5*s, 25 = h*g. Solve -5 = s*u - 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from uvzqzkzhhhkz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -269 + 61 + 0*m**3 - m**2 - 14*m**4 + 78 + 2*m**3 + 2*m + 84 in the form p + r*m**4 + s*m**3 + i*m + n*m**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-16)*(42\/7)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 4 = 20*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 - 46*u**2\/3 - 277*u\/2 + 27807.\nAnswer: (u - 69)*(u - 62)*(u + 39)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59137 divided by 32.\nAnswer: -59137\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-3 + -21) - 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x)\/x**(-20))\/(x**(2\/7)*x**15) assuming x is positive.\nAnswer: x**(59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/8075 and -67\/102?\nAnswer: 48450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336320 by -8408.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/459 and 35\/12087.\nAnswer: 36261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1750\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*1772\/(-140)*14\/(-2). Sort 1\/3, c, 1.\nAnswer: 1\/3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 485100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -4. Suppose 0 = 4*r - 2*f - 3*f + 6, -3*r - f = 14. Sort -2, r, p in descending order.\nAnswer: p, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, d: 4, h: 4}. Give prob of picking 1 n and 1 h.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 510764263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n - 7. Let t be k(2). Suppose 11*q - 5382 = t*q. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:04 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*o = 2559 - 6974 - 3961 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4796030, -4796047, -4796064, -4796081, -4796098, -4796115?\n\"Answer: -17*w - 4796013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.415*0.01671.\nAnswer: 0.47481465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 6. Let d be o(5). Let x be d\/(3\/2 - 1). Let p(c) = -2 + 3 + c**x + c**3 + c + 3 - 4*c. Calculate p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159865041 and 53288347.\nAnswer: 159865041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5, 242, -2, 4, -483 in increasing order.\nAnswer: -483, -5, -2, 0, 3, 4, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3449)\/(((-2)\/7)\/(300\/350)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199784273.\nAnswer: 13, 71, 216451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:59 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.123? (a) 27 (b) -66.9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -136 * -4.7\nAnswer: 639.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let b(c) be the second derivative of 2*c + 0 + 0*c**3 + 13\/6*c**4 + 0*c**2. Calculate b(y(p)).\nAnswer: 104*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((-36)\/(-162)). Suppose -15 = -2*u - 6*i + d*i, u = -5*i - 3. Let h(m) = 8*m - 5 + m - u*m. What is h(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582008 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 39*k - 119. Let s be v(42). Let o = 80 - 637\/8. Which is the closest to 4? (a) 4 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122450 and 26070?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - r - 74 = 0, -5*b + 370 = -0*r + 4*r. What is the remainder when b is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/28)\/((-2)\/24). What is the units digit of (-23 - (-2 + 0))*(v - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2827324893 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 249*k - 1766. Let s(f) = 5*f**2 - 506*f - 3530. Let h(o) = -9*p(o) + 4*s(o). Find the first derivative of h(r) wrt r.\nAnswer: 4*r + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*z = -8, -j + 3*z - 14 = -2*j. Let m be ((-40)\/(-6))\/(j*(-4)\/144). Let q = -109 - m. What is the remainder when 42 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5 + 1186*q**4 + 52018*q**3 - 164386*q**2 + 111180*q = 0.\nAnswer: -545, -51, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/135*3)\/((-2)\/10). Let z = -7.05 - -0.05. What is the smallest value in z, c, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 1)*(5*w**2 + 60*w**3 + 4*w**2 - 61*w**3).\nAnswer: 8*w**3 - 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 312664, 625630, 938596, 1251562, 1564528, 1877494?\n\"Answer: 312966*c - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 7*o + 6 + 5 - 2 in the form v + x*o and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6476 divided by -241.\nAnswer: 6476\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (10\/35 - 6). What is i in -8\/7*i**4 - 8\/7*i**2 + 0 - 2\/7*i**5 - 2\/7*i - p*i**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 501 = -r, 598 - 94 = r - 3*d. Suppose 2*v - 200 = -c, 8*v - 3*v - r = 4*c. Let l = 145 - v. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/14 + -29\/70. Which is the second smallest value? (a) 0.1 (b) -6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4111813 is divided by 1370597.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 - v - 15. Determine p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(-18)\/(-12) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 384 = -2*y + 4*y, 3*o + 970 = 5*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let q(w) = 8*w + 3. Let c be q(1). Suppose -5*u + 5*x = -9 - c, 4*u = -5*x + 7. Calculate the highest common divisor of u and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/3 + 5*d**2\/2 + 91. Let w = -36 + 30. What is x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 260 + 310a?\nAnswer: 336a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8365308ml?\nAnswer: 0.0008365308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88727 is divided by 88696?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40 and 36.3?\nAnswer: 76.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (10 + -6) - (1 - 1 - -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17656.11 - -17052. Let u = d + 604. Put -0.4, u, 3 in decreasing order.\nAnswer: 3, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 33. Let b be q(-15). Suppose -5*g = -4*i - 325, 5*g - i = -b*i + 325. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27910.1569 to the nearest 100.\nAnswer: -27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((69\/(-2))\/23))\/((-21)\/(-9)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36846 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324671 and 69728?\nAnswer: 10389472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94013700 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z**2 - 20*z - 26. Give o(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 3*k + 2*k)*(-49 + 3*k + 17 - k) to the form b + r*k + c*k**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7135632 divided by 6\nAnswer: 1189272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 4*s**2 - 203*s - 408. Calculate y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 29, 35?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -387*p + 377*p + 8 - p**2 - 28. Let l be o(-5). What is the highest common divisor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from pddddexedddpef?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 16*r**4\/7 + 60*r**3\/7 - 96*r**2\/7 + 20*r\/7 = 0.\nAnswer: -5, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 4*s - 4, 3*s - 32 = -4*k. Let n be (10\/s)\/((-12)\/(-24)). Solve 3*p = n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-6 - 2) + 9 - (-9 - 27).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/2 + (-33 - 7) + 6. Which is the third smallest value? (a) n (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/126)\/(1122\/612)*(-3)\/1?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 23 + -9 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2352) + -1)**2 + (-3 + sqrt(12) - sqrt(36)\/(sqrt(12) + (sqrt(12) - sqrt(192)))).\nAnswer: -107*sqrt(3)\/2 + 2350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1213822441 divided by -388921\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}