diff --git "a/data/dm_maths/full_data_2/11006_11255.jsonl" "b/data/dm_maths/full_data_2/11006_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11006_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is greater: 232485 or 232488?\nAnswer: 232488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Suppose -m = -3*m + 4*p - 30, -2*p + 30 = -l*m. What is the nearest to 0 in 0.5, m, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 - 65*o**2 + 365*o + 425 = 0. Calculate o.\nAnswer: -17, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 4*h + 3. Let c be j(-4). Factor -3*x**2 + 2*x**4 + x + 2*x**c - 3*x**3 - x**2 + 2*x**2.\nAnswer: x*(x - 1)*(x + 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.83315578 rounded to 3 dps?\nAnswer: -6.833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-15)\/m*m)\/m)\/m**(1\/3))\/(m**17\/m)**(3\/17))**33 assuming m is positive.\nAnswer: m**(-10747\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-1 - -3)*-2) + -1. Suppose l*i = -15*i + 17613. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10585669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 6:44 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4)*(0*i**2 - 3*i**2 + 5*i**2) + (i - 9*i + 7*i)*(0*i - 4*i - i)*(-1 - 1 + 0) to h*i**2 + v + a*i and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*i + 11*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 1115, 2506, 4453, 6956?\nAnswer: 10015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -376, -380, -386, -394, -404?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 9\/3 - -8. What is the third derivative of 92*x**3 + 93*x**3 + 90*x**3 - 275*x**3 - q*x**2 - 118*x**4 + 62 wrt x?\nAnswer: -2832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**9)\/l**(-1\/15))\/(l**(2\/37)*l*(l*l**12)\/l) assuming l is positive.\nAnswer: l**(-11093\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 25*k**3 + 53*k**2 + 5*k + 1. Determine o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-42))\/(9\/6). Let v = -8 + 8. Do i and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 + 4*p - 4. Let j = 392 + -398. Determine x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -449*g**6 + 69944*g**4*t*z**3 - 2*g**2*t*z**2 - 8*g**2*z**3 - 6*g*t - 34950*t*z**3 wrt g.\nAnswer: -53880*g**3 + 1678656*g*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 - y**2 + 79*y**2 - 79*y**2)*(2*y - 6*y + y).\nAnswer: 3*y**3 - 354*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Let q = d - 2. Suppose 6 = -0*s - 3*s. Which is the nearest to -2\/7? (a) q (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*p + 5. Suppose 3*l - l = 4. Suppose -r + 8 = -l. Solve -k + r = p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**5\/2 - 77*s**4\/4 - 2073*s**3\/2 - 19103*s**2\/4 + 11430*s - 5600 = 0?\nAnswer: -16, -8, 5\/6, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -68 and -0.59267614.\nAnswer: -68.59267614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025284 rounded to 5 decimal places?\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21234)\/(-42468))\/((4\/2)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*u**4 - u**3 + 40*u - 3 wrt u.\nAnswer: -468*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9069390 is divided by 1813878.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3) - (74433261\/63 - -20)) + 1. Round m to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*q - 104, 0 = 4*p - 53894*q + 53895*q - 199 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 150629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -981 divided by -4.\nAnswer: 981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (sqrt(153) - (sqrt(153) - (sqrt(153) - (sqrt(153) + 0))**2)) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (7 - -1 - (-436 + 397 - (1 - 26)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502*(-3)\/(-4) + 14\/28.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 36 - 16)*(2*w - 2*w - 2*w**2 + (0 + 0 + 2*w**2)*(1 - 2 - 1) + 0*w**2 + 5*w**2 - 4*w**2 - 7 + 7 - 6*w**2).\nAnswer: 1331*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*v = -16 - 23, k = 3*v - 3. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 18, 33, 48?\n\"Answer: 15*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:13 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, 10, 22?\n\"Answer: 12*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 7:46 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 698 - 698.07808. Round n to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 443*d. Let b(y) = -2*y. Calculate s(b(r)).\nAnswer: -886*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.414827*0.1.\nAnswer: -0.0414827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -9)\/((49 - 7)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11483*o - 10689. Determine a(-1).\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -194. Let b = 17 - 16. What is the smallest value in b, x, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 42 = -16*n. Suppose n*i - 5782 = 525. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18234725\/3 or -6078241?\nAnswer: -18234725\/3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3916424 divided by -2\nAnswer: -1958212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1392\/11, 2\/5, 3798 in descending order.\nAnswer: 3798, 1\/2, 2\/5, -1392\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u + 53. What is the units digit of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/155*(-35)\/868.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(-1\/3)))*w*w)\/(w\/(w*w**(-1\/2))))\/(w\/((w\/(w**(2\/7)*w*w*w)*w*w*w)\/w)*w)**(-1\/30) assuming w is positive.\nAnswer: w**(157\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 1. Suppose 30 = -11*h + 52. Let a be f(h). Solve 13*j - a*j = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*u + 10586, 3*v + v = -5*u + 21107. Does 136 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:21 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 10, 10*w - 17 = 9*w + 4*v. Suppose 0 = -2*x + 2 + 4. What is the remainder when 12\/(-5)*(w\/1 + -2) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-249)\/(-3984) + (-1 - (-587038)\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + t = 3*q - 24, -2*t - 24 = -4*q. Let v be q*(-1 + 2) - 2. Solve v*h - 7 = -s, -2*s + 5*s + 23 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/48 and -137\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, g: 2, t: 2, y: 2, b: 5, z: 2}. What is prob of sequence hggy?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1215454518 by -6.\nAnswer: -202575753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z. Let x(m) = -73*m. Give p(x(q)).\nAnswer: 803*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 49. Let l = -36 - b. Suppose 4*g + 5*i - i = 580, 4*i = -3*g + 436. Calculate the highest common factor of l and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138183075 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 181540, 363105, 544686, 726283, 907896, 1089525, 1271170?\n\"Answer: 8*k**2 + 181541*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213503430 divided by -5285.\nAnswer: -40398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -146. Solve 6*u - 4 = 4*g + x*u, 2*u = -5*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/12)*6\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-432)*1\/(-2))\/(2\/(-9))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -1\/40*g**6 - 2*g**2 + 0*g**5 + 1\/12*g**4 + 0*g**3 + 0 + 0*g. What is the second derivative of u(x) wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*a - 1183*a**2 + 57*a - 28*a in the form b*a + i*a**2 + y and give i.\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 405852 and 405892 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(147) + sqrt(147) + (1 + sqrt(147) - sqrt(147))*-3)*-1)**2 + (sqrt(108)*1 + 2 + sqrt(108)*-2 + 0)*-5.\nAnswer: 30*sqrt(3) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12649 is divided by 654.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*o - 43*o + 2*o**3 + 473*o - 3*o**3 + 15 + 82*o.\nAnswer: -o**3 + 652*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476 - -1148. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 9a3?\nAnswer: -9a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z - 37*z + 20*z + 1. What is i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = 5*t + 5*j - 19, -2*t - 5*j = 137. Put -5, t, 5 in ascending order.\nAnswer: t, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa7a0a (base 11) to base 4.\nAnswer: 12233200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.15?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*3945094\nAnswer: -5128622.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3104\/(-11640))\/((-2)\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 945*s**2 - 3*s + 3. Let u be (-3)\/(-4) + 4\/16. Let h be m(u). Let q be (h - -5)\/((-1)\/(-6)). Round q to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 618127540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1431615 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - t - 26*p = 10*t + 254, 20*t + 2*p = -54 - 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1238300 to the nearest 10000.\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-4))\/(-5*(-9)\/30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56837216.\nAnswer: 2, 29, 73, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y = -5*y - 462. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6*f = -f - 41, l - 5*f - 29 = 0. Let x = l + -10. Let m(b) = -24*b**2 + 4*b + 4. Let z(u) = -u**2 + u - 1. Let d(h) = x*z(h) + m(h). Factor d(n).\nAnswer: -4*n*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-22) + 532\/22. Let o = -11 + g. What is the remainder when 23 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1430, 34, 2\/9, 0 in ascending order.\nAnswer: 0, 2\/9, 9, 34, 1430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5774982103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1265.763001 and -0.4.\nAnswer: 1265.363001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 398783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (7 - 3))\/(-1). Let p be 294\/35 + 2\/(-5). Suppose -p*b - 3*s = -4*b - 11, 5*b - 4*s = 6. Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46333236 divided by -8\nAnswer: -11583309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 489681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4946 + -4946.4. Let v = 39 - 40. What is the nearest to v in -1\/5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1621.06 + -1623. What is o rounded to 2 dps?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46461033 divided by 837?\nAnswer: -55509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22503832 by -604.\nAnswer: 37258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwp. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/12)\/(4\/198). Is a < -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 982270719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obbob. Give prob of picking 2 o and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 1400, 2178?\nAnswer: 2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 7*p - 44. Let k be f(11). What is the first derivative of -669*o**2 + k + 21 + 680*o**2 wrt o?\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from qugugggghguhu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 13) + 6 + 4 + (-1 - 4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1295)\/(-15))\/7)\/(31\/(-279))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by -69.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10339, 11534, 13529, 16324, 19919, 24314, 29509?\n\"Answer: 400*i**2 - 5*i + 9944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 619\/394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100562687763787 plus -0.1?\nAnswer: -100562687763787.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 8. Let j be a(8). Find the third derivative of 4*l**3 - l**2 + 4 - 4 + j*l**2 wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -0.3, -1\/5, -5, 349 in increasing order.\nAnswer: -5, -0.3, -1\/5, 82, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5\/41 (c) 0.3 (d) -2\/11 (e) -1\/33 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -4804*b**3\/3 + 3612*b**2 - 7032*b. Differentiate x(w) with respect to w.\nAnswer: -9608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390141 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 120, 18, -104, -252, -432, -650, -912?\n\"Answer: -d**3 - 4*d**2 - 83*d + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.577 take away 0.1?\nAnswer: 150.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 7\/20*f**5 + 0*f**3 + 0*f + 1\/4*f**4 - f**2 + 1. Let q(l) be the second derivative of r(l). Factor q(s).\nAnswer: 3*s*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y + 1. Let c(p) = -6*p + 2*p - p**2 + 3 + 0*p**2. Let d(t) = -c(t) + 3*n(t). What is the second derivative of d(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 4*a - 3. Let x = -64 - -62. Calculate z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7151 (base 11) to base 16.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = b + 4*z, -18 = -3*b + 3*z. Differentiate -2 + h + b - 2*h wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 21\/20*a**5 + 2\/3*a**3 - 28 - 1\/12*a**4 + 3*a**2 + a. Find the second derivative of p(y) wrt y.\nAnswer: 126*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 + 1990*j\/3 + 52000.\nAnswer: (j + 80)*(j + 3900)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 21. Suppose -5*z + d = -2*z. Solve 0*f + z*f - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.5, 0, -104, -2\/3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/18 - 60\/(-135). Let k(v) = -y*v**2 - v**2 + 4*v**2 + 3*v**2. Let f(s) = -8*s. What is k(f(c))?\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3817, -7630, -11443?\nAnswer: -15256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/8 + -5 - -4. What is the closest to 1 in 2\/51, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 2*r**7\/945 - 8*r**6\/27 + 320*r**5\/27 + 4*r**2 - 7*r. Factor z(v).\nAnswer: 4*v**2*(v - 40)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -428.551768 rounded to zero dps?\nAnswer: -429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((1808\/(-12))\/2 + 3). Suppose -2*s - 2735 - z = -2*l, -3*s = -2*l + 2957. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3431950.77 to the nearest 100.\nAnswer: 3432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6 - (-15)\/(-45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000465478 rounded to six dps?\nAnswer: -0.000465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 5*j + 3. Give y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/14737 greater than or equal to -85.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 37 = -5*n - 3*z, -3*n + 26 = -2*z. Let v be ((-20)\/n)\/5 - (-17)\/2. Suppose -v*i + 3433 = -6911. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3723.38ml?\nAnswer: 3.72338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-14)))**(12\/13) assuming m is positive.\nAnswer: m**(168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2500214 divided by 525\nAnswer: -2500214\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -733.1 + 0.11.\nAnswer: -732.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 11, 1\/2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 9.43. Let q = -0.07 + n. Let v = q + 0.485. What is v rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 4, l: 5, h: 2}. Give prob of picking 1 m and 1 l.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/((-62)\/1550).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20*z**2 - 11*z**2 - 10*z**2. Let p(b) = -14*b**3 - 4*b**2 - 3*b. Let c be p(-1). Let q(k) = 16*k**2 + c*k**2 - 11*k**2 + 68*k**2. Give q(u(a)).\nAnswer: 86*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0 + 0*m**5 + 0*m + 0*m**4 - 1\/2*m**3 - 3*m**2 - 1\/120*m**6. Differentiate d(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5581500*g**3 - 524600*g**2 - 27120*g - 288 = 0.\nAnswer: -6\/305, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 - 0.7. Let h = -78.4 + 81.4. What is the nearest to -0.03 in h, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/2 + 154*k**3 - 936*k**2 + 1880*k + 2397. Factor b(h).\nAnswer: 2*(h - 2)**2*(h + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/2 + 349069*y\/2 + 349071 = 0.\nAnswer: -2, 349071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -955 - -924. Put r, 8, 5 in increasing order.\nAnswer: r, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -152, -770, -2456, -5744, -11168, -19262, -30560?\n\"Answer: -89*w**3 + 5*w - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328 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: Let y = 1 + 7. Let n(f) = f**3 - 8*f**2 + 4*f - 12. Let x be n(y). Suppose 0*a = 3*a - 4*s - x, 3*a - s = 5. Solve -25 + a = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-7*i - 7*i + 0*i + (-1 + 0 + 0)*(2 - 2 - 2*i) + 2 - 3*i - 2 + 0 - i + 0 + (0 + 1 - 2)*(2*i + 0*i - i) + 2*i - i + 3*i + 2*i - 2*i + 2*i).\nAnswer: 33*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/((-152)\/(-32)) - -1*6. Is (-1 + (-15)\/(-2))\/(i\/1324) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - t + 7, -5*z + 9*z = 5*t - 28. Let g(u) = -19*u - 106. What is the remainder when g(z) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m**2 + 8*m - 8. Let j = 129 - 64. Suppose -l - 48*l = -294. Suppose l*i + 17 = j. Let o(b) = -b**2 + b - 1. Determine i*o(s) - f(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 6. Let x(m) = m**2 - 2*m - 1. Let r be x(3). Let t(q) = q - r + d. Let f(p) = p**2. Determine f(t(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 42694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 833629*-3\nAnswer: -2500887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:16 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36032.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-452)\/48 + (1 - -1) and 81\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 575*j**2*m**2 + 50*m**2 wrt j.\nAnswer: 1150*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 6*i**5\/5 + 11*i**4 + 3103*i**2\/2 + i + 12396. Find the second derivative of k(g) wrt g.\nAnswer: 72*g**2 + 264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13052437 is divided by 1084.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22020111200022 (base 3) to base 6.\nAnswer: -233511525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057 to 5 decimal places.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/57 and 858\/357 - 24\/204 - 5.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -28.65494.\nAnswer: -27.65494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342368 by -42796.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761031 - a + 2*a + 761031.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 10. Suppose 3 = -h + b. Suppose -5*i - h*l + 45 = 0, 2*i + 47 = 7*i + 4*l. What is the least common multiple of 1 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - z**2)*(z**2 - z**2 + 2*z**2) + (3*z**2 - 2*z**2 + 0*z**2)*(-3*z**2 + z**2 + 5*z**2) - 10942*z**4 + 8844*z**4 + 7838*z**4.\nAnswer: 5741*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + 159\/12. Suppose -3*u = -23 - k. Solve 0 - u = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 486205 and 1.7.\nAnswer: 826548.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(45\/(-25)) - (-5)\/(-30). Let z be ((-6)\/(-20))\/(((-32)\/(-20))\/4). Let 1\/2*u**5 - v - 13\/4*u**3 - 33\/4*u**2 - 25\/4*u + z*u**4 = 0. What is u?\nAnswer: -2, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Let g = q + 0. Put -2, 0.4, g in decreasing order.\nAnswer: g, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w**2 - w - 2)*(3 + 1 + 1)*(3*w + 0*w - w).\nAnswer: -20*w**3 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/5 - (-2 - -2). Suppose -k*l = -8*l - 156. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0004 - 22.0196. Let n = -22 - f. Is 2 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -19675?\nAnswer: 4\/19675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/6 - -3 - (-903)\/18. Let q = 54 - d. Find the first derivative of -7 + 3*m**4 + 4*m**q + 0 + 16*m**4 wrt m.\nAnswer: 92*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2 = 4*j, -2*y - y = 3*j + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 7) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10888548, 10888552, 10888558, 10888566?\n\"Answer: v**2 + v + 10888546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + (sqrt(2057) + sqrt(2057) + -3)*4 + 1 + sqrt(2057) + (1 + sqrt(2057))*2 + -4)**2.\nAnswer: -3146*sqrt(17) + 249067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546614 + 1555920 = -8273*t for t.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2 + 4*i - 7. Let k(l) = l - 11. Let v be k(8). Let x be (-3 + 8)\/(v + 4). Give h(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -635, 8, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-3 - (-75)\/27). What is the common denominator of -57\/4 and 8\/8 + d\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -a - 1 + 10, 4*q - 17 = -5*a. Suppose 3*b = 2*b + 2. Let c(f) = b*f - a*f + f. Let r(s) = -2*s. Determine c(r(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = 3*y - 6*y. Suppose -2*z - 86 = -0*m - m, 2*z + y = 2*m. Suppose -x = x - 4*u - m, 2*u + 6 = 0. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n + 6 - n**3 + 6*n - 3*n**2 + 6*n. Suppose 5 + 3 = 2*v. Suppose 2*p - v*p + 2 = u, 5*p = 15. Determine d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(204)*2 + sqrt(204)))\/((2*sqrt(1728) - sqrt(12)) + sqrt(12) - sqrt(12))*-2 + 5)*-1.\nAnswer: -5 + 18*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 11*z**2 + 9*z + 40. Suppose -58*k = -65*k - 106*k + 1356. Determine c(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.42084l?\nAnswer: 26420.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218128*h**2 - 498534*h**2 - 26365*h**2.\nAnswer: -743027*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*(i\/(((((i\/i**(-4))\/i)\/i)\/i)\/i))\/i)\/(i**1\/(i\/i**(-3))) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 5*s + 4. Let y be i(5). Suppose -y*t - 4*h = 0, -t + 1 + 23 = -5*h. Suppose 0 = t*o - 13 + 5. Solve -2*c = -u - o*u, -5*c - 2*u = -19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 264, 367, 462, 549, 628?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-9)\/(-3)) + -4. Is 1042\/((u + -1)*1\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9522 and 1449.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -13. Suppose 9*r = -7*r + 32. Solve -l - 1 = r*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose 2*o - 5*o = -9. Let q be 6\/(-5)*(-2)\/((-2)\/(-15)). Solve o*n + 4*m = p, -n - 3*n = -m - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.4. Let n = -65 - -64. Which is the closest to 0.2? (a) n (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.052 - 4.03. Let r = 0.022 - k. Is r <= -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 15 = -5*z. Suppose -z*u = q + 24, -3*u + 0*q - 4*q = 28. What is the units digit of ((-7)\/u)\/((-1)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*r**4*z**2 + 2*r**3*z**2 - 19*r**3 - 2*r**2*z**2 + 3*r*z**2 + 19*z**2 - 2 wrt r?\nAnswer: -384*r*z**2 + 12*z**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99165*n + 99171*n + 9366 = 0. Is -1559 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/32)\/(-2 - 7). What is the nearest to 6 in b, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7847232 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 6\/(-2) - 0) + 16. Let m = d + -17. Suppose 5*t - 5*f = -0 + 5, t - 2*f - 2 = m. Solve t - 1 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from ipiiiiipcic?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Let i be ((-264)\/36 + 7)*0\/(-3). Suppose -k - 5*n - 30 = 4*k, i = 3*n + j. Put 5, 6, 0, k in descending order.\nAnswer: 6, 5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 4*i - i**2 - 2\/3*i**3 + 9. Solve x(t) = 0 for t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 112. Let o(u) = -u**3 + 10*u**2 - 16*u - 5. Let l be o(8). Is r(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + -1.9. Let y = d + 7. Let q be (-5)\/(-10)*6 - -14. Which is the nearest to 0? (a) 5\/3 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 16*y - 767. What is the tens digit of g(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -940*w - 1. Let p be s(3). What is the common denominator of 29\/5 and (p\/235 + 12)\/(2\/485)?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + 1 + 22 + (6 - (-5 - 5)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-474)\/162 + 4\/162*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 130*s**2 - 8*s + 394. Let w(h) = -3*h**2 - 4*h - 1. Let r(q) = -4*w(q) + 2*y(q). What is the derivative of r(b) wrt b?\nAnswer: 544*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1830521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l**4 + 2965*l**3 + 15915*l**2 + 9035*l - 3950 = 0. Calculate l.\nAnswer: -79, -5, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxuauuucuuyubuxyuac. What is prob of picking 1 c and 2 y?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.1 rounded to zero decimal places?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 7*s - 3*p = 3, -5*p = -9*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 0 - 3 + 2 + 0 - 105*x**2.\nAnswer: -7*x**3 - 105*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369069 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(68))\/sqrt(4).\nAnswer: -3*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55103.\nAnswer: 55103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**3 + 5635*q**2 - 240*q + 2707324?\nAnswer: 3*q**2 + 11270*q - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 531a7?\nAnswer: 5315c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 2. Let h be u(-3). Suppose c - h = -c. Let f = c - 8. Solve -n - 4 = a - 5*n, -5*a - 3*n - 20 = f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 20*n**2 + 5*n**2 - 126 + 3*n**2.\nAnswer: 28*n**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13 - 1 = 0. Let l be 270\/35 + (-2)\/u. Let a = 12 - l. Solve 8*x - a = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6259*j**3 - 11 - 2*j**2 - 6259*j**3 + 5*j**4 in the form h*j**3 + q*j + a*j**2 + k*j**4 + v and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(204)*4)\/(sqrt(36)\/(sqrt(18)\/sqrt(54)))*-5.\nAnswer: -40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-16))\/(-3)*(-484)\/1089?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 21. Put 1\/7, z, 0.3 in descending order.\nAnswer: 0.3, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 60, -3 in descending order.\nAnswer: 60, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 214 + -213. Let u(i) = -18*i**2 - 2*i - 45. Let g(n) = -n**2 + 2*n - 2. Let b(w) = z*u(w) - 2*g(w). Differentiate b(c) wrt c.\nAnswer: -32*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 111\/589?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 2:21 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/2 + 101*g\/2 = 0. What is g?\nAnswer: -101, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 8*f**3 - 4*f**3 - 5*f**3 + (3 - 3 + 2)*(4*f**3 - 4 + 4) + 2*f**2 - 2*f**3 - 2*f**2 to b*f**2 + k + n*f + g*f**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -24\/5*o**4 - 84\/5*o**2 + 3\/5*o**5 + 36\/5*o + 0 + 69\/5*o**3 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 0 + 32 = 2*u, m - u + 6*u - 34 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 187.96 (b) -11 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4252 is divided by 203?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10401)\/(((-18)\/(-848))\/(-3)). Suppose -3*t - m + 221730 = 1691734, -3*t - s = 2*m. Round t to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 560 = 0. What is the remainder when a is divided by ((-165)\/(-10))\/(-3)*-6 + 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -44\/9, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35156805 divided by 7031361.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 20*j + 66 - 52.\nAnswer: -20*j + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143417 is divided by 406?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212110220 - -10100?\nAnswer: -212100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j - 139 = 0. Let p = j - -971\/7. Let h(x) = x**2 + 13*x + 31. Let y be h(-10). Is y < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 768*d - 767.\nAnswer: -(d + 1)*(d + 767)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-78)*(24\/15)\/(42\/35).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 times -6.4?\nAnswer: -908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578*k + 1516*k + 2479*k - 500*k.\nAnswer: 4073*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2 - 1. Let b(i) be the second derivative of 19*i**3\/6 - 412*i. What is x(b(o))?\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqf when three letters picked without replacement from ididiqdqdffdddiz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 10, 42, 98, 178?\n\"Answer: 12*k**2 - 28*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/9)\/q)\/(q**6\/q*q))\/(q**1)**23)**35 assuming q is positive.\nAnswer: q**(-9485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 157103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + r + 6. Let y be c(3). Suppose y = 3*o - 9 - 0. What is the smallest common multiple of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 2*m**2 + 4*m + 4. Let l = -510 - -514. Let a(b) = 2*b**2 + 3*b + 3. What is l*a(h) - 3*j(h)?\nAnswer: -3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -180116 divided by 1\nAnswer: -180116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 354 + 54 = 0. Suppose 0 = -k - k - p. What is the units digit of ((-3)\/(-5))\/((-2)\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 22*m**2 + 12*m. Let k be 1\/(3\/(-45)*3). Let z(v) = -9*v**2 - 5*v. Give k*w(c) - 12*z(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-64 - 117 + 2662)*(2*l + l - 2*l) - 3*l + 6*l - l)*(-l - 3*l + l).\nAnswer: -7449*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 893 and 547409?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.9, 26.7, 22\/5.\nAnswer: -6, 0.9, 22\/5, 26.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1464 + 2610 = 3*b. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -147. Suppose -4*x + 60 = 4*w, -5*w - 24 = -3*x - 3. Calculate the remainder when m is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1000 + 22*y**3 + 2009 - 1011 as t*y + w*y**2 + i*y**3 + f and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n**2\/n)\/n)\/(n\/n**(-2)*n*n))\/(n**(4\/11)\/n**(-4\/7)))**(-4))**21 assuming n is positive.\nAnswer: n**(4560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1cf4c8?\nAnswer: 1cf4c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 561 + 449. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1993\/11 + -181. Let y = -0.22 - 20.78. Let n = y - -19. Put -0.05, -1, a, n in descending order.\nAnswer: a, -0.05, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-1)\/(2\/3)). Solve -8 = -4*h + q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 1 - (222 - 217)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*v - 50, -3*i - 58 + 15 = 5*v. Let c = -15 - i. Is c smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3000, -2886, -2776, -2670, -2568, -2470, -2376?\n\"Answer: -2*w**2 + 120*w - 3118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30417112 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: Which is the nearest to 2? (a) -95234 (b) 1\/5 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**2. Suppose 0*u = -u. Let a(w) = w**2 - 2*w**2 + u*w**2. What is a(t(h))?\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1017056 and 1716800.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3) + 1 + 20. Suppose 0 = -5*a + 142 + r. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 3:31 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -j + 9, 12*q + 21 = 2*j + 7*q. Let u(p) be the second derivative of -p + 0 + 1\/3*p**j - 5\/2*p**2. What is the first derivative of u(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 36*l - 8. Suppose 0*h + 5*q - 290 = -3*h, -5*q - 25 = 0. Let n be (42\/h)\/(1\/(-45)). What is b(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/18)\/(14\/7)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 5*w - 4. Suppose 0 = -2*i - 2*l - 7 + 1, -3*i = -4*l + 37. Let j = i - -1. What is y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8568, 25967, 43364, 60759, 78152, 95543?\n\"Answer: -z**2 + 17402*z - 8833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909045?\nAnswer: 3, 5, 20201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, and 1 h when three letters picked without replacement from athgttxgtt?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*g - 43*g + 37*g)*(2*g - 2*g - 3*g) + (g - 4*g + 2*g)*(3*g + 7*g - 3*g)*(-1 - 1 - 1).\nAnswer: -153*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69054825397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-9 - (-3 - (7 - 4))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/6 - 8*q. Let w(b) = -7*b. What is y(w(j))?\nAnswer: -98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 166496*a**2 + a. Let d(s) = -s. Give g(d(f)).\nAnswer: 166496*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*s - 2*s + 8, -5*s + 24 = -3*w. List the prime factors of w\/20 - (-164)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4*s*s**(-6)*(s\/s**(-3))\/(((s*s*s**(-1\/11)*s)\/s)\/s))**(-2))**(-3\/11) assuming s is positive.\nAnswer: s**(138\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 6. Suppose 0 = -3*f - f + 32. Let h be t(f). Suppose -3*y = 4*a - 0 + 2, -h*y + 4*a = -32. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -157, -3.18 in descending order.\nAnswer: 3\/2, -3.18, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67932 divided by 2.\nAnswer: -33966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1869344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18260 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + a**2 - 21*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28737 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1777 + 106 = -4*a, -2*a + 1332 = 4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 - 2*d**4*s - 40*d**3*s + 79*d**2*s + d*s wrt d.\nAnswer: 120*d**2 - 48*d*s - 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-284)\/(-27))\/4 + 9\/(-6) and -137\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-40)*3\/36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220130220 + -2034?\nAnswer: 220123131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-2)\/(-4)*(9\/(-153))\/1. Let u be (-4)\/2 + 201\/(-99). Let z = 26\/11 + u. Sort s, z, 0.5.\nAnswer: z, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -4 - (13 + -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 109 = 6*a - t, 3*a + 33 = -3*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 - 120*i**4 - 1160*i**3 + 9300*i**2 + 34282*i + 23940 = 0. Calculate i.\nAnswer: -45, -19, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244046597.\nAnswer: 59, 4136383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29431969823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -945.823 - -945. Let l = 1.913 + t. Round l to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 43*(3 - 1\/(-1)). Suppose -v + 0*d + 4*d + 23 = 0, -5*v + n = -d. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/222275 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/45, 0.4 in decreasing order.\nAnswer: 0.4, 2\/45, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30*m + 109. Let n be (-450)\/210 - (-12)\/(-14). Calculate the remainder when c(n) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 21. Let z(n) = -2*n + 21. Calculate 3*v(a) + 2*z(a).\nAnswer: 2*a - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 822 and 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 341 - a6?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 10 = 5*o. Suppose 0 = w - o*w. Suppose w = -2*p + p + 6. Which is the second biggest value? (a) 0 (b) p (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39763 = -43*f - 32778. Let t = f - -1687. Factor -2\/9*p**3 + 2\/9*p**4 - 10\/9*p**2 - 2\/3*p + t.\nAnswer: 2*p*(p - 3)*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 + 10 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/14*744\/155 - 114\/9. Suppose 18 = -3*n + 3*y, -n - 3*y = -5*n - 20. Let s be (-1)\/2*n\/(-5). What is the fourth biggest value in 0.2, s, -1\/8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w + 0*w)*(3 + 0 - 1) - w + 2*w + 2*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:30 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*w + 1, 7*w = -3*t + 2*w - 31. Let n be 5 + t - 178*5279. Let z = n - -1869664. What is z rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 12:59 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h**4 + 39*h**4 + 119*h**4)*(-4 + 2 - 2).\nAnswer: -692*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96684673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173658 - 3*t**3 - 173658 + 31*t**2 - 31*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.777 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745159, 1745390, 1745775, 1746314, 1747007, 1747854?\nAnswer: 1748855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4258220 to the nearest integer?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 12 (c) 5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54241279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2. Let k(r) = 117*r - 2. Calculate d(k(o)).\nAnswer: -27378*o**2 + 936*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -58*m**3 + m**2 + m. Let k be a(-1). Let u = -48 + k. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.930788 + 0.332478. Let v = 24.6 + a. Round v to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 34 + 14 = 0. Suppose t + 4 = 5*a. Suppose 0 = 5*g - 1 - a. Calculate the smallest common multiple of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1*13\/(-182)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00390751501 to 7 dps.\nAnswer: -0.0039075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + h = -5947, -2*v - 4*h = v - 4446. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 25 - 1 = 0. Suppose 0 = 3*k - 4*d - 13, 0 = -p*k - 4*d + 3*d + 8. Solve -v = -k + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*r + 260279 = 216*r + 4*c, -2*r - 2*c + 104114 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 279*r**3 + 17*r**2 - 4*r - 3. Determine h(-1).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2789 = 12*y - 12763. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**4*n**2 + 90*m**4 + 2*m**3 - m**2*n + 7*n**2 wrt m.\nAnswer: -96*m*n**2 + 2160*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 834 = 2*r - 854, -2*r + 4 = d. Solve -d*y + 398 = 430 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*r**2*z**3 - r**2*z - 16*r**2 - 2*r*z**2 wrt z?\nAnswer: 804*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfon when four letters picked without replacement from {v: 1, x: 1, f: 1, n: 2, o: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481752821.\nAnswer: 11, 71, 616841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 21 + 3 = 4*x, -4*r - 2*x = -18. Suppose -2*o - 4*m - 7 = -37, 0 = -r*o - m + 21. Factor 2*f**2 - 6*f**2 - 3 + f**2 + o*f - 3.\nAnswer: -3*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:03 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 + -1 - (-15 - -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgkrihghrrgr. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(343) + -1)**2 - sqrt(343))*5.\nAnswer: -105*sqrt(7) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -20525128.\nAnswer: -1\/10262564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 124 + 112 = 3*s, 2*f - 2 = 4*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + -4?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {u: 1, c: 1, k: 2, m: 1, b: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9226d20 - 2?\nAnswer: 9226d1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -1\/41 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 69, 6, -2 in increasing order.\nAnswer: -6, -2, 3, 6, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -779244 times 0.4?\nAnswer: -311697.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 89. What is the second biggest value in -0.2, d, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -11.05?\nAnswer: -14.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9216 and 2592.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 28. Suppose 0 = -4*l + 5*o + 9, d*l + 3*o = -0*o + 27. Solve 3*b - t = -10, -l*t + 4 = -2*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5288 and -147.\nAnswer: -5435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 80 - 0. Let l = -100 + 71. Let h = v - l. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*g + 77*g = -6. Suppose 11 = -3*a + 4*j, a + 7*j - 5*j = g. Let o be (1*-3)\/(9\/(-2)). What is the nearest to a in 0.4, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 14*g - 16. Let h(b) = -15*b**3 - 3*b**2 - 4*b - 3. Let x be h(-2). Let s be 14\/98 - x\/7. List the prime factors of k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-10)*s**2)**(2\/93) assuming s is positive.\nAnswer: s**(-14\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 844 and 824377.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1190486948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6895 - -6880. Which is the fourth smallest value? (a) -1\/26 (b) 1\/2 (c) -0.4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19192146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, k: 10}. What is prob of sequence wkk?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8528177 to the power of 1\/2, to the nearest integer?\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, j: 3}. Give prob of picking 1 j and 2 d.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 77. Let d(r) = 19*r + 61*r + u*r. Let f(w) = -w. Determine d(f(t)).\nAnswer: -148*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 408459307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 + 2. Let g = -169\/285 - 7\/95. Which is the fourth biggest value? (a) q (b) 0.04 (c) 4\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 87\/1139, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 6*v**2 - 6*v. Let i(b) = b**3 - 9*b**2 + b - 5. Let t be i(9). Let g be a(t). Calculate the greatest common divisor of 20 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 - -220122022?\nAnswer: 220202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 16*b**2 - 27*b - 2. Determine v(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a litre in millilitres?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14165470 and -75\/1018?\nAnswer: 14165470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26287, 52592, 78897?\nAnswer: 105202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5719\/93 + -10517\/1395. Let m = r + -272\/5. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12036 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 2) + 9 + 5980. Suppose 5*h + 716 = 5*u - w, u + 2*h = 1352. Calculate the greatest common factor of u and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010132 + 2?\nAnswer: -1010130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*r + 1 - 3, -r + 2*u - 6 = 0. Suppose -2*k + 20932 = -r*s - 1740, 2*k - 22657 = -3*s. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, -3, 1.\nAnswer: -5, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 43*k**2 - 18*k + 56. Let n be b(4). Let m = n + -667. Let 12\/7*p**2 + 4\/7*p**3 - 2\/7*p - 6\/7 - 2\/7*p**m - 6\/7*p**4 = 0. What is p?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16135, 16140, 16149, 16162, 16179, 16200?\nAnswer: 16225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 33, 32, 19, -6, -43, -92?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 12*p**2 + 10*p - 15. Give y(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 28 + (0 - -2). Let b(k) = 8*k - 15. Let n be b(12). What is the highest common factor of n and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 23 = w. Let k(l) = l**2 + 4*l - 8. Let d be k(-6). Let c = d + -3. Solve -5*x - 5*s - w = 0, x + c = -4*s - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j. Let o(h) = 4*h**2 - 3*h + 0*h**2 + 6*h**3 - 3*h**2. Let n(k) = 4*f(k) + o(k). Suppose 16 = 4*p, 5*p - 9 = a + 3*p. Determine n(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -26.8.\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 15*i**2 + 15*i - 36. Let m be x(16). What is the remainder when (7 - m\/(-8))*(252 + 0) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 + -2 - 11) - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5*k + 5 + (2*k - 5*k + k)*(3 + 3 - 4) - 2*k + 1 - 1 + (-2*k - 2*k + 3*k)*(1 + 1 + 2).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25*z + 2809. Let y be o(-39). What is the greatest common divisor of 84 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19750 and 717320.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 82191.01 to the nearest ten.\nAnswer: 82190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 48. Let z be m\/(-10) - 6\/(-15). Solve 5*n + z = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 17 - (25 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -357754.\nAnswer: -357754, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (556\/(-6))\/(6\/(-18) + 1). Let p = o - -130. Let z(w) = w**3 + 10*w**2 + 9*w + 7. Determine z(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, k: 1, u: 2, q: 1, i: 2}. Give prob of sequence kquu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6*p - 2)*(5254 + 6719 - 10161) as z + j*p and give j.\nAnswer: -10872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 34*b. Let p(n) = -193*n**2. Give v(p(u)).\nAnswer: -6562*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 - 0.06. Let r = g - -0.33. Let u = -0.37 - r. Sort -0.5, u, 1 in increasing order.\nAnswer: -0.5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 82196.09 hours?\nAnswer: 295905924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96384 and 48.\nAnswer: 96384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 33*w - 246. Let f be k(8). Let t(m) = m**3 - 18*m**2 + 16*m - 26. Calculate the least common multiple of t(f) and 4.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 + 63\/3 + -5. Let a(q) = -q**2 + 15*q + 22. Calculate the remainder when 11 is divided by a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 34 + 36. What is the lowest common multiple of (-25)\/2*4\/(-5) and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -0.8.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 28*r - b = 0, -4*b = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + ((sqrt(125) + 1)*-5 - sqrt(125))*-2 + 5.\nAnswer: 17 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265 - 373. Let f = o + -12. What is f rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47956758 to the nearest 100000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -7371.\nAnswer: -19\/7371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-3)\/4 + 1). Let c be (-3)\/(-1 - (-4)\/(-8)). Let d be ((-195)\/(-99) - c)*3. What is the second biggest value in 5, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59100 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + 0 + -1 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v = 20*v - v + 459 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 23 - (2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 974629144 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 43*b = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141313966*b**2 + 206414941 with respect to b.\nAnswer: -282627932*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 1. Let z be f(1). Suppose 0 = 41*y + 6 - 211. Let r be 6\/(-1 - (-8 - -5)). Sort z, y, r, -1 in decreasing order.\nAnswer: y, r, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(2 - (-5)\/(-2)). Let j be 30\/u - (-2)\/8. Let i be (1\/7)\/((-26)\/91). What is the second biggest value in 0, i, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 799 and -4\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 19398 = 6*k - 3*k, 2*f - 6463 = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:46 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 19 = j - 80, 56 = -2*g + 2*j. Let w = g + 70. Suppose 4*b = -3*m + 47, -3*b - 19 = 3*m - 64. Calculate the remainder when w is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -0.09, -2\/9, -219, 2, -27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -758.\nAnswer: -22\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 3*k - 1. Let x(o) = 7*o**2 + 7*o - 2. Let y(f) = 9*b(f) - 4*x(f). Let r(n) = -5*n**2 - 2*n - 1. Let s(d) = r(d) - 4*y(d). Factor s(v).\nAnswer: -(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -23*l - 102. What is q(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 413 - 255. Suppose -2*v + 1286 = -2*j, i*v - 161*v - 3*j + 1953 = 0. What are the prime factors of v?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:28 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19963 + -0.2085. Round y to 4 dps.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -2\/5, -18?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -259*c + 140. Let f(m) = 47*m - 25. Let w(b) = 28*f(b) + 5*o(b). Let u(z) = -2*z. What is u(w(d))?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-1 + 2)*-1). Suppose -3*b - 52 = -g, -t*g = -5*g + 3*b + 126. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*m**2 - 4 + 9 + 38*m**2 - m**4 - 80*m**2 - 6*m**3 as w + v*m**4 + j*m**2 + o*m**3 + q*m and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5172, -20674, -46516, -82704, -129244?\nAnswer: -186142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10123 (base 6) to base 4\nAnswer: 111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -147428, -145251, -143074, -140897, -138720?\n\"Answer: 2177*d - 149605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114) + (2*sqrt(114)*-6 - sqrt(114)) + sqrt(114))\/(sqrt(18)\/sqrt(3)*-6) - -3*(sqrt(76)\/sqrt(4) + -5)*-4) + 3)*-5)**2.\nAnswer: -32025*sqrt(19) + 5339575\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from nnnnndndndnn?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 24 = -10*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -129128026+-18\nAnswer: -129128044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 732 divided by -2.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -16. Let f = 4 + 0. Let g = f - r. What is the lowest common multiple of 8 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (19 + (2 - (0 - (2 + -4 + 6))))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*j - 41 - 27*j + 51*j - 10 - 57 to the form w + s*j and give w.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*x + 27, -j - x + 2*x + 9 = 0. Suppose j*g - 2565 = 8866. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42956 + 5?\nAnswer: -42951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let s = 4 - 2. Let p = 1 - s. Let r be t(p). Are r and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(130) - 2*sqrt(130))\/sqrt(10) + 0 + -1*(-2 + sqrt(13)*-2))**2)*5.\nAnswer: 70 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31434 + 31171. Which is smaller: -1579\/6 or l?\nAnswer: -1579\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3522\/4805 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {s: 9, m: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101216613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363841823.\nAnswer: 3, 454613941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a + 62. Calculate b(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17080 divided by 29\nAnswer: 17080\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4, 3*k - 4887 = -u - 1112. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, n: 3, l: 4}. Give prob of sequence nnl.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 4\/(-10)*(15 - 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4282\/369 - -23\/369. Let n(f) be the first derivative of 35 + 41\/2*f**2 - r*f**3 + 0*f. What is the second derivative of n(h) wrt h?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose 5*m - 341 = 2*n, -f*m = -n - n - 339. What are the prime factors of (-3 - n\/3)\/1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -54 (b) -0.5 (c) 2 (d) 0.03 (e) 0.017 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*p - 0*u - 12, 5*u = -3*p + 21. Let l be (-4)\/(-3)*(-15)\/(-5). Solve 3*y = -2*r + 6*r - 12, -l*y = p*r + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10480 - -12161. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 666*w**3 - 683 wrt w?\nAnswer: 1998*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 962294557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*0.36.\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47701952?\nAnswer: 2, 745343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11133112 + 213?\nAnswer: 11133331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. Let h(z) be the second derivative of -z**5\/20 - z**4\/12 + z**3\/6 + 7*z**2\/2 - 10*z. List the prime factors of h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/25)*f\/f**(2\/27))**45*f**(-8)\/(f*f**(-5)*f)*((f\/(f*f**0*f)*f)\/f)**(-8\/17) assuming f is positive.\nAnswer: f**(20027\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 4)*(-5*r + 1 - 1 + (-2 + 3 + 0)*(0*r - r + 2*r)) + (4*r - 4*r - r)*(3 - 5 + 3).\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 42) + (5\/1 - -9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5. Let b be 1022\/49 - 12\/14. Let f be (7\/70)\/(12\/b). What is the closest to o in -1\/3, -2, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -258, 3, -1, -4 in decreasing order.\nAnswer: 3, -1, -4, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-3)\/3 - -3. Suppose 0 = -3*l - 3*z + 318, -x*l + 22 = -5*z - 176. Let a = -33 + l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**2 + 12*i + 12. Let n = 12 + -17. Let m(y) = -4 - 1 - 5*y - 6*y**2 + y**2 + y**2. Give n*t(w) - 12*m(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 2, v: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y**2 - 2*y + 1. Let n(r) = -r**2 + r + 1. Let g(x) = -m(x) + n(x). What is the second derivative of g(j) wrt j?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.9. Let r = d - 0.3. Which is the nearest to 0? (a) 6 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2 - (546 + -2)). Let o = 199 - 225. Is (-4)\/o + s\/26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 19*p**2 + 15*p**3 + 13*p**2.\nAnswer: 5*p**3 + 32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 1. Let q be i(1). Let r(j) = -4*j**2 + 8*j - 3. Let p be r(5). Let w = p - -69. Solve -w = -q*s - 4*k, -3*s - 2*k + 1 = -3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-1 + 1) - (-63 + -5). Let f = l + -80. What is the tens digit of (f\/6)\/((-9)\/135)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -l + 29, 0 = -3*l + 5809*z - 5814*z + 19 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260905980.\nAnswer: 2, 3, 5, 4348433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/5 (c) -5\/6 (d) 2\/12451 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1648 = -3*r - 71. Is (r\/(-6))\/(2\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, 100, 1, -5 in decreasing order.\nAnswer: 100, 5, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -501799?\nAnswer: -50179b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -3 + 0 - -5. Let t be (-16)\/20 + 1\/f. Let w be 1\/(3 - (-8)\/(-4)). Which is the second smallest value? (a) t (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, y: 1, s: 2, v: 1, m: 2, b: 2}. What is prob of sequence vs?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85496?\nAnswer: 2, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60874870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -132, -1061, -53?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(4 + 0\/1)*-238. Calculate the least common multiple of 50 and ((-4)\/(-3))\/2 + v\/(-357).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 4, 3, 6475.\nAnswer: -6, -2, 3, 4, 6475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = p - 4*v, -9 = 3*v - 3. Solve r + 1 = -2*u - 0*u, 3*u + 3*r - p = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0*x**2 - 4*x + 1\/20*x**5 + 5\/6*x**4 - 2*x**3 + 0. Is h(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 42*m**2 - 2*m - 2. Let l(y) = -y**2 - y - 1. Calculate -i(o) + 2*l(o).\nAnswer: o**3 - 44*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5 = -k, i + 11 = k + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) 0.4 (c) -11 (d) 104 (e) 10\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*n - 20, n = -4*n + j - 44. Let o(m) = m + 13. Let i be o(n). What is the third derivative of 9*p**2 - 7*p**2 - 3*p**6 - i*p**6 + 0*p**2 wrt p?\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + 686. Does 45 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*r - 2076*r - 2364*r.\nAnswer: -3943*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 4*z**2 - 97 - z + z - 11 + 0*z.\nAnswer: -4*z**2 - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 311, 917, 1895, 3239, 4943, 7001, 9407?\n\"Answer: -d**3 + 192*d**2 + 37*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -541860 rounded to the nearest 1000?\nAnswer: -542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - t)*(41*t - 41*t - 5*t**2)*(7*t - 6*t + 10*t) - 2*t**4 + 21*t**3 - 21*t**3 - 9 + t + 8 - 3*t - 12*t**4.\nAnswer: 41*t**4 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - -39. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 3120\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 1:13 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 - (-1 + -197 + 1). Calculate the greatest common divisor of x and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-298)\/4 + (2 - 0). Let l = 1025\/14 + q. Suppose 0 = 4*g - 9 + 1. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**2 + 8*y + 2. Let w = -12 - -18. List the prime factors of u(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/13, 2, 9.8, -4\/19 in descending order.\nAnswer: 9.8, 2, 1, 2\/13, -4\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**7*j)*j)\/(j\/(j*j\/(j*j\/((j\/j**12)\/j))))*(j*j\/(j\/(j*j**(-7))))**(-35) assuming j is positive.\nAnswer: j**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170949 divided by -4.\nAnswer: -170949\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 - 19*t**2 + 15*t - 16. Let n be q(7). Let l = n + -97. Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.6, 2\/13, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {i: 1, h: 2, j: 1, c: 9, u: 1, f: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 - 76*q**2 - 44*q - 327. Determine g(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 + f**2)*(-2 - 3 + 4) + 2*f**2 - f + f + 0 + 740*f - 742*f - 3 + 12*f**2.\nAnswer: 13*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 379078 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6 and 41.61813394.\nAnswer: 42.21813394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = p - 7, -4*p + 5*c = -55. Suppose g - 17 = 5*n, -11 = -3*g + 5*n + p. What are the prime factors of (-9)\/((-6)\/8*g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((3 - -2) + (-4 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + i + 13, -2*o - 6*i = -i + 29. Let v = 0.18 - -9.82. Let w = v + -6. Which is the closest to 0.1? (a) w (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186132 and 42465.\nAnswer: 2634698460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -43*x + 35*x - 114*x + 1. Let b be a(-2). Suppose -3*s + 4*k = 2*s - b, -4*s + 222 = 2*k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 7, 3\/2, 5, 2\/7, -0.034, -22\/3?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -5, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10178, 16955, 23732, 30509, 37286?\n\"Answer: 6777*k + 3401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2. Let r(p) = 9*p**2 - 51*p - 56*p + 107*p. What is r(t(b))?\nAnswer: 81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*j + 4*j. Suppose 8*l - j*l = -2. Suppose -l*x - 15 = -37. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 2*w - 204. What is the tens digit of a(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 3*v**2 - 2*v. Let n be r(3). Suppose -k = 3*k - n. Suppose j + 11 = -b, -2*b - j = k + 5. Is b less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*t = 62*t + 25. Solve 3*v - 12 = -t*f, -v + 16 = 3*v + 5*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let l(s) be the first derivative of s**5\/60 - 5*s**2\/2 + 4. Let v(d) be the second derivative of l(d). Determine v(o(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -252263.\nAnswer: -252262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 111010?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39940 by -10.\nAnswer: -3994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-353296)\/(-96) + (-2)\/(-10)*(-30)\/36?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r**3 + 34*r**2 + 170*r + 11. Let q(x) = -4*x**3 - 9*x**2 - 42*x - 3. Let i(u) = -3*n(u) - 13*q(u). What is i(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*l + 3 - 2 = 0, 0 = -5*r + 5*l - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 974*m**3 + 38 + 1 - 38 - 2 - 254*m**3 as f*m**3 + q*m + c*m**2 + r and give f.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -816, -783, -746, -705, -660, -611?\n\"Answer: 2*w**2 + 27*w - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -55\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22850 and 32904?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6057 + -6054. Solve 2*c + 19 = f*a, 5*c = 2*a + 7*c - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -8679?\nAnswer: 8679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 + 20*y - 12. Let f be i(-14). Let b = -114 + f. List the prime factors of b.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Suppose o*j = 14 + 10. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-eight fifths of a gram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*n - 0 + 14, 0 = -2*i + 2*n + 12. Let o be i*-2 + (-25 - -9). Is (-17 - -2)*16\/o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 69, 74?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1123350529\/2196 - 511544. What is the common denominator of o and -79\/18?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(-1)*(-36775)\/73550.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -34.9994. What is f rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 5*a**7\/42 - 3*a**5\/4 - 5*a**4\/6 - 2*a - 15. Let s(j) be the first derivative of g(j). Find c, given that s(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611\/7 + (-16)\/56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812162158?\nAnswer: 2, 991, 409769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 146.91, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372613789, 745227580, 1117841371, 1490455162?\nAnswer: 1863068953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = 4. Suppose -4*l = -5*l + k. Suppose 0 = -3*n + 15, 5*s - 10 = -l*n + 120. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/10 + (-2)\/(-5). Suppose -6*x + 3*x = -30. Suppose 0*u + x = 2*u. Put u, -1, h in increasing order.\nAnswer: -1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 13*n + 7. Let u be -9*6\/(-45)*5. Let x(w) = 1. Let y(g) = u*x(g) + q(g). What is the units digit of y(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28498 and 34.\nAnswer: 484466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 2\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 130 = 0. Suppose 0 = 5*i + 5*h - 90, i - w = -0*i + 3*h. Calculate the remainder when 79 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187 - 128. Which is the second smallest value? (a) -3 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from zzzzozzqgozzqgzq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 517*j**2 - 521*j - 3. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788488*d**2 + 1 - 1 + 788486*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/((3\/36)\/(11\/(-88)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118248925 and 1429987.\nAnswer: 1537236025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*f**2 - 32*f**2 - 62*f**2)*(0*f - f + 0*f + (2*f + 3*f - 6*f)*(2 + 2 - 3)) in the form j + v*f + i*f**2 + y*f**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -29. Which is smaller: -7 or i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233410 + -30?\nAnswer: 233330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-7)*70\/(-20). Let p be 2056\/j - 3\/5. Suppose p = -0*q + 2*q - f, -2*q + 3*f = -207. What is the highest common factor of q and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82962, 331834, 746614, 1327296, 2073874, 2986342, 4064694, 5308924?\nAnswer: 6719026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6*q. Solve 4*m + 2 - 22 = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkjjjjkoojkkmmr. What is prob of picking 1 r, 2 j, and 1 k?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 7*j**2 + 8*j - 19. Let g be i(-5). Solve p + 43*v - g = 47*v, 4*p = v + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -40 + 130. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 222699 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12259, -2, -5, 5, -9 in descending order.\nAnswer: 5, -2, -5, -9, -12259","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p**2 + 2*p - 2. Let n(z) = -21*z**2 - 5*z + 5. Let h(v) = -5*i(v) - 2*n(v). Let g(u) be the first derivative of 3*u**2 + 43. Give h(g(b)).\nAnswer: -468*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248725018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 - d + 5. Let o(l) = l**2 - 1. Suppose -m + 20 = -5*m. Let v(s) = m*o(s) - t(s). What is the second derivative of v(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1372.8921 - 1373. Let g = 0.0079 + x. Which is the biggest value? (a) g (b) 4 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*y - 198*y = 17376 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11721630 and 31257680.\nAnswer: 93773040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2166628 or 2166631?\nAnswer: 2166631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 8633892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17 - 15*f**3 + 42*f**3 - 18*f**3 + 29*f - 23*f**3. Let o(m) = -5*m**3 + 10*m - 6. What is 17*o(b) - 6*z(b)?\nAnswer: -b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 292011892.\nAnswer: 1460059460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9 + t**3 + 101*t + 5*t**2 - 217*t + 109*t. Calculate q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16096266 + -37\nAnswer: -16096303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4119619.\nAnswer: 7, 588517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 5*i**3\/3 + 25*i**2\/2 + 20*i + 2. Factor z(m).\nAnswer: 5*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12*-2*9. Let f = 3 + 2. Let g = x + f. Is 1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4961427 != -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1052, 2089, 3126, 4163, 5200?\nAnswer: 6237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30443045 (base 7) in base 4?\nAnswer: 21232030223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 - 4480*p - 656328 = 0. Calculate p.\nAnswer: -138, 2378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11.33817 litres?\nAnswer: 11338.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0071 or -731?\nAnswer: -731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7335.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62.09 and 1644.\nAnswer: -102075.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78935 rounded to two decimal places?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 13*m**2 - 100*m - 649. Determine y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 635552.1cm?\nAnswer: 6355521000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144089209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + 3 = 0. Solve 0 = 2*a - k - 5, -s*a + k = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - m)*(4080*m**2 + 19*m + 1383*m**2 + 15*m - 34*m) to r*m**3 + g*m + v*m**2 + q and give r.\nAnswer: -5463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-27)*j**(-26)*(j*j*j*(j*j*j\/(j\/((j**(2\/49)\/j)\/j))*j*j*j*j*j)\/j*j)**34 assuming j is positive.\nAnswer: j**(10848\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1532728672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 6*a**2 - 2*a + 1. Let w(z) = z**3 - z**2 + z + 1. Let u(j) = -p(j) + w(j). Is u(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/9 - 0 - (-18)\/(-54). Let i(c) = -c**2 + 7*c - 1. Let w be i(6). Solve -x - 28 = w*q + x, 8 = -g*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 4*o - 6. Suppose 0 = -n + 4*d - 2, -n = -2*d + 5*d + 2. Let j = 1 - n. Let u be (5\/j)\/(7\/21). Give y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -329, -2, 10 in ascending order.\nAnswer: -329, -5, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (17 + -1 - 15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 127753?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 4, 1, 16, 265, 1\/7 in ascending order.\nAnswer: 1\/7, 0.5, 1, 2, 4, 16, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13047783, 26095553, 39143323, 52191093, 65238863?\nAnswer: 78286633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 429 - 424. Solve -l*v**4 - v**2 + 220*v**3 - 3*v**2 + v**5 - 212*v**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 846 and 2914?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-24)\/14)*4\/(-10). What is the nearest to v in 4\/3, 4\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -287. Suppose 7*v + l = -19. Suppose 4*r - 104 = 5*o - 14, 2*o - 5*r + 19 = 0. Which is bigger: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, 2\/9, -1, 13\/4, 2\/27?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -328, -2, 0, -4 in ascending order.\nAnswer: -328, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -40. Let d(v) = -4*v + 5. Let h(j) = -5*j + 4. Let b(k) = -6*d(k) + 5*h(k). Give b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520c (base 13) in base 9?\nAnswer: 113813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 42 + 8)*(-l + l + l**2) - 1 + 1 - l**2 + (0 + 0 - 2*l)*(-l + 0 + 0).\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -458 - 2*f + 463*f**2 + 458 to the form p + t*f + w*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 14 = -2. Let k be -2*o\/(-4) - -6. Factor 5*f**3 - k*f**4 - 10*f**2 + 22*f**3 - 12*f**3.\nAnswer: -5*f**2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-128.4\nAnswer: 385.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430568413 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101343 divided by -407\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 15. Let s = 8.05 + -7.95. Which is the fourth smallest value? (a) -0.2 (b) l (c) 4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - c + 15 = -6*c, 14 = -2*k - 4*c. Let t be 1 + (-3 + 2)*k. Solve 4*p = -t*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1930*r + 1258*r + 4818*r to the form a*r + h and give a.\nAnswer: 8006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 10 + 0)*(2 - 2 + 2*r).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 372*z**3\/5 - 4461*z**2\/5 + 13356*z\/5 + 108\/5.\nAnswer: 3*(z - 6)**2*(124*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58557 + -58557. Let p(d) be the second derivative of -d**5\/20 + d**4\/12 - 2*d**2 + 3*d. What is p(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1258 (base 14) to base 16.\nAnswer: c8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -131. What is the remainder when 2 - 909\/(-21) - 4\/d is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 67 - 4. Let y be d\/14 + 6\/(-4). Let r = y + 22. Calculate the least common multiple of r and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 2312554029264?\nAnswer: -2312554029264.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*g\/g**(1\/3))\/g))\/((g**(-8)*g)\/g))\/(g*g\/g**(1\/2))**(-8))\/(g**(-1\/6)*g*g**(-12))**(-43) assuming g is positive.\nAnswer: g**(-2759\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20375, -20395, -20437, -20507, -20611, -20755, -20945, -21187?\nAnswer: -21487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 462 = -3*f. Let z = 2323\/10 + f. Find the common denominator of z and -55\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 168 - 339 + 175. Give s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1246856204*r**4 + 47*r + 3045974?\nAnswer: 14962274448*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 29*i - 34*i + 121217 = 0, 3*i = -2*r - 121209. Let l = -41369 - r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 11*v**2 - 5*v - 1. Let y be h(5). Let p(b) = -b**2 - b. Let c be p(y). Solve -3 = 3*d - c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392240.641 rounded to the nearest one hundred?\nAnswer: -392200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 - 86*h + 75)*(-2*h + 5 + 38*h**2 - 69*h**2 + 28*h**2) to the form l*h**2 + z + v*h + g*h**3 and give v.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -6*c**3 + 12*c**2 - 461*c. Let r(n) = 7*n - 5. What is -5*j(w) - 24*r(w)?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106919 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 76 = 3*d - 5*d, 3*l = 4*d - 207. Suppose -d*z = -54*z - 234. Which is bigger: -38 or z?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/6 and 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 w when four letters picked without replacement from wwkkkkdiiidkgwkidi?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v = -34*v - 8*v + 1400 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66180933 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36090.\nAnswer: 2, 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 159*w**2 + 156*w.\nAnswer: 3*w*(w + 1)*(w + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.2 (c) -6 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 456 = -5*l. Suppose -16*y = -20*y + l. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s + 0*s - 2*s. Let n = 96 - 90. Let i(v) = 2*v - 5 + n - 1. Calculate i(u(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, u: 3, r: 3, i: 7}. Give prob of picking 1 r and 2 h.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13128517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/492)\/((-3)\/(-144)*3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0755 - 99.9245. Sort -0.5, h, 1.\nAnswer: h, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dia when three letters picked without replacement from dmmdai?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21643920 and 48.\nAnswer: 21643920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlp when three letters picked without replacement from {i: 1, o: 2, j: 5, k: 5, l: 2, p: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 30 = 5*f, 5*o - 62925*f = -62927*f - 30 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 2 + 723*g**3 - 3*g - 723*g**3 + 4*g**4 to the form d + s*g**4 + p*g**2 + t*g**3 + k*g and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 228\/(-2584)*2\/(-3)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 8) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 21*j - 41. Calculate the least common multiple of u(2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -11, 5 in ascending order.\nAnswer: -11, -9, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 5) to base 12.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -160 + 160 + 73*i + i**2 in the form y*i**2 + g*i + p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -31 - (-1286 - -1223)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1.5 (b) -4 (c) -0.4 (d) -416\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 173*n = 168*n + 20, -4*x - 7 = 5*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -111. Suppose 2*z - 6 + a = -p, 5 = 2*p + z. Suppose -d = 5, p*d + 191 = -3*u + 1138. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 7:34 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2316 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9 = -1. Suppose 5*v + 3*n = 423, -47 - 139 = -m*v + 3*n. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 - 15*a**2 - a**3 + 31*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14860*f**3 + 5126704*f**2 - 1380*f.\nAnswer: -4*f*(f - 345)*(3715*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/27, -1\/3, 1\/9, -435.5 in decreasing order.\nAnswer: 1\/9, -4\/27, -1\/3, -435.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 6*z - z - 33*z + 5*z + 25*z.\nAnswer: 2*z - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-98)*7)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 1 + 7\/4*v**3 - 5\/4*v**2 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 16, 0 = 203*c - 208*c - 4*f + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/(-15)*15\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 3162.\nAnswer: 15810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 7*b - 28. Let r(n) = n**3 - 7*n**2 + 5*n - 1. Calculate the remainder when r(b) is divided by (-2)\/(-2 - 0) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:56 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/h**(2\/3)*h)\/h*h)**(-11))**19)**(2\/55) assuming h is positive.\nAnswer: h**(-266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 + 175*p - 870 = 0.\nAnswer: 6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 7*r - 42*r - 53 - 70 + 16*r.\nAnswer: -2*r - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*a*p - 19*a - p wrt p.\nAnswer: -23*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 700 = 135*g - 756 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 2, o: 9, l: 2}. What is prob of picking 1 s and 2 l?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/18968 and -11\/64.\nAnswer: 151744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.0618 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 7. Let q = y + -2. Suppose 8 = q*p + 2*p. Solve 3*f + 2*f - 5*z = 20, 2*z - p = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3573 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p**2 + 10*p + 13. Let g be 3\/(-30)*2 - (-122)\/10. Is c(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 4*r + 4*r + 0*r + 7*r**3 to the form k*r + v*r**2 + c + g*r**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 3190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.051 - 11. Let a = -0.0510072 + u. Round a to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(0 + (-4)\/(-8)). Solve -3*b - b - 2 = -3*k, -4*k - n*b = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2674 and 118802?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5102*a + 776569 = 2496*a - 188377 for a.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26880 and 600?\nAnswer: 134400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 155 = -119 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8766 = 2*j, -72*j + 69*j - g = -13128. What is the highest common divisor of 162 and j?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4*(-2*sqrt(130) - sqrt(130)) - sqrt(130))\/(-2*((sqrt(10) - (sqrt(10) - sqrt(10)*1)) + sqrt(10))))**2*-1*4.\nAnswer: 10985\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -92 and -95.77994.\nAnswer: -187.77994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 8*m - 11)*(0 + 0 + 3)*(4 + 0 - 3).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 13 = -p + 4*p, -5*p + 50 = 4*g. Calculate the remainder when (-4)\/6*69\/(-2) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -2 (b) 2 (c) -2\/9 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbtztttttbttta. Give prob of sequence tt.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -105*l**2 - 7*l + 52. Let a(d) = -d + 23. Calculate the remainder when h(0) is divided by a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/(-28)*7\/(-2). Let t = g - 1. Suppose t*c + 2*w = 4*c - 11, 2*c + w = 7. Put -2, c, -4 in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743901599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 4*h**2 + 5*h + 26. Determine t(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 144*z - 1309. Determine a(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-306))\/(1\/2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/228 and 115\/133062.\nAnswer: 5056356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**8\/2184 + a**7\/1365 + a**6\/260 - a**5\/78 + a**4\/78 + 4*a**2. Factor h(y).\nAnswer: -2*y*(y - 1)**3*(y + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 8*h**2 + 10*h. Let s(a) = -7 - a**2 - 7*a + 16*a + a. Let p be s(8). Let w be f(p). What is the highest common factor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:21 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((4\/1)\/(-12)*-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33797584 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (9 + 8 + -6)) + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 979969096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.368 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 122212211 (base 4) in base 16?\nAnswer: 1a9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3272 - -103?\nAnswer: -3167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1636262 (base 11) to base 3\nAnswer: -12020202021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -86*g - 3353. Give x(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 9. Let w be r(-7). Let x(s) = 10*s**2 - 8*s**2 - s**2 + w*s - 1 - 3. Calculate x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bib when three letters picked without replacement from bibbbcbbbiiib.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(-25\/3))))**(-41) assuming f is positive.\nAnswer: f**(902\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1458))\/((sqrt(162)\/sqrt(3))\/sqrt(6)).\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-138)*(-46)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 29*k = 3696. What are the prime factors of k?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 26. Let f = r + -12.2. Which is the nearest to -2? (a) -2 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/2)\/11*(-20)\/160*27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4 + 48*i**3 - 176*i**2 - 1344*i - 1568 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 208, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1014596, -1014550, -1014504, -1014458?\nAnswer: -1014412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**2 - u + 3. Let r(y) = y**2 - 1. Suppose 279*f - 503 = -39 + 652. Calculate f*r(m) + n(m).\nAnswer: -5*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5506*j. Let o(h) = -2*h. Give o(k(m)).\nAnswer: -11012*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 1:30 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99)*3*-4 - sqrt(99) - sqrt(99)).\nAnswer: 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, u: 1, p: 6}. What is prob of sequence zup?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 24443219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -3*v + 2 - 1\/2*v**2. What is the lowest common multiple of 10 and m(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*n - 35, 4*n = q + 18 - 5. What is the highest common factor of n and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 4, n: 1, x: 9, m: 1, w: 1, z: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 16 = -9*q. Solve -m = q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**3 - 11*y**2 + 4*y + 16. What is t(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20.4 + 254135.565\nAnswer: 254155.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5545 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 17 - (5 - 15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 = 21. Let i = o + 10. Suppose 0 = 5*a - i - 15. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 3*l - 4. Let g(k) = k**2 - k. Determine -5*g(m) + j(m).\nAnswer: -2*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Solve -3*w = 5*n - n, 0 = x*w - 4*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 57*r - 25. Let a(j) = -12*j - 1. Give -12*a(m) - 3*y(m).\nAnswer: -27*m + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 6*f + 5. Let y be x(7). Let s(z) be the third derivative of z**5\/60 - 3*z**4\/8 - z**3 - 122*z**2. What are the prime factors of s(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/10622880 and 131\/73696230.\nAnswer: 1179139680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u**5 - 9071967*u**4 + 24948009*u**3 + 6803952*u**2 - 36288012*u - 9072000 = 0. What is u?\nAnswer: -756000, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a - 8*a + 1230 = -16970. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 8. Calculate l(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26144 - -26144.8. Let n be (-3)\/(-24)*(-6 + 0). Sort n, 3\/2, m, -1\/8.\nAnswer: n, -1\/8, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9145832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7917 or -39578\/5?\nAnswer: -7917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3 = -q, 49*q = 52*q - 2*o - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/141258 in -1\/2, 2, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38\/57*(-162)\/5778\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/36 - (-4)\/18) + 5. Let m(i) be the first derivative of 5*i + 5*i**7 - 7 - 16*i + 11*i + 10*i**c. Find the third derivative of m(o) wrt o.\nAnswer: 4200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*w - 11. Suppose -7 = w*k + i, -3*k + 2*k - 2 = i. Let g(y) = 20*y + 163. Let r be g(-8). Put k, -1, r in increasing order.\nAnswer: k, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40544 is divided by 6755.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857366412.\nAnswer: 2, 3, 7, 19, 537197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 + 3*c. Let u(q) = -17*q**2 + 8*q. Let w(j) = -4*j**2 - 3*j - 3. Let b be w(-1). Calculate b*u(r) + 11*n(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**3 - 2*y**2 + y - 1. Let p be m(-5). Let f = 5298\/5 + p. What is the common denominator of f and 5\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000421709407 to 7 decimal places.\nAnswer: -0.0004217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4102 and 18074.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247171258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 335.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 650 = -5*w, -2*n - 6*w + 3*w + 285 = 0. Let v = -131 + n. What is the second derivative of -4 - 114*t - 1 + 133*t - 26*t**4 + v wrt t?\nAnswer: -312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s + 2*s - 70 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122202211 - 1000?\nAnswer: -12122210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/25)\/4*-1 - 1. What is the closest to y in -0.4, 22\/7, 5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, -125 in descending order.\nAnswer: 14, -4, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/5)\/(-1)*(-6)\/228?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 25*r = 72. Solve 0*g + 3*g + 6 = 0, -r*g + 8 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from bbiibbbibb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -61910 times -0.1\nAnswer: 6191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -288 + 288 + (-23 - -2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t + 2. Suppose 43 = 24*a + 19. Calculate m(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30502069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-5))\/(4\/10). Let k(w) = -49 + w + 33 + 43. Let u be k(-22). What is the biggest value in u, -2\/13, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 44. Let j(g) = 5*g**2 + 30*g - 14. Is 29 a factor of j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 5)\/((-1)\/(-1 - -2)). Which is greater: z or -8\/47?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 10, -3*o + 3*x - 5 + 2 = 0. Suppose -82 = 2*w - 30. Let v be -3 - 108\/w - 1. What is the nearest to o in -2\/9, 5, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = 0. Suppose 4 = -k - z. Sort -5, k, -3 in descending order.\nAnswer: -3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 44. Let i be 12\/(-10)*b\/4. Calculate the greatest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001682454 to seven dps.\nAnswer: 0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = 16. Let x = 49\/39 - 12\/13. Which is the third smallest value? (a) -2 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3 - 6.32. Put s, -2\/13, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyl. Give prob of picking 1 l and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23467 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + -444?\nAnswer: -443.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504054?\nAnswer: 2, 3, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 220579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -957 - 926 + 1894 + 159*j**2.\nAnswer: 159*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + 4383?\nAnswer: 434a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101369 + -22098493\/218. Let k = 16683\/5800 + -1\/725. Find the common denominator of k and x.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1342715 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002198 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -3, 0.\nAnswer: -9, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 1222399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 30*l - 10*l. Suppose 2*n + w = 917, -3*w - 7 = l. What are the prime factors of n?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2794*w = -2809*w + 5*g + 1710, 456 = 4*w - 2*g for w.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000111111001101001 (base 2) in base 15?\nAnswer: aedee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -137*v + 819. Let z be y(6). Let u be 6\/42*(2 + 0). What is the closest to -0.4 in 2\/15, u, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -6, 9 in decreasing order.\nAnswer: 9, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -10 + 26. Let a(l) = -l**2 + 36*l - 136. Let z be a(28). What is the highest common divisor of z and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(84) - -4*-2*sqrt(84))*3)\/((sqrt(108)*-2 + sqrt(108))*2)*3.\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 498144.7 hours in nanoseconds?\nAnswer: 1793320920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a - 4*a. Is 3 a factor of 15 - (-1 - (2 + a))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let f = 4 - 2. Let o = 283722 - 283718. Which is the nearest to m? (a) f (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61\/9, -654, -4 in ascending order.\nAnswer: -654, -61\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*(r\/(r**(-2\/7)*r))\/r)*r*r)\/r**(-1)*(r**(-1)*r)**(5\/2))**(5\/18))**3 assuming r is positive.\nAnswer: r**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:29 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/17))**42\/(h*h**16)**(2\/55))**(2\/5) assuming h is positive.\nAnswer: h**(8084\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 25*v**2 + 11*v + 250. Let u be p(-10). Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 2*u - 98, -7711*u + 46 = -2*y - 7715*u for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*q - 4, -5*q + h - 6 = -2. Solve -3*u + 5*w = w - 29, q = 5*u + w - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 2*f + 68*f**2.\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 732*w**4 + 1139*w**4 + 1439*w + 4*w**3 - 4*w**3 + 653 - 1438*w wrt w?\nAnswer: 22452*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {k: 4, h: 1, t: 2, v: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 1 + 1 + (-n + 0*n + 0*n)*(-3*n - n + 3*n) - 2*n**2 + 4*n**2 + 0*n**2 + 2552*n**2 - 324*n**2 - 851*n**2.\nAnswer: 1382*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17)*5 + -6*sqrt(17)*-1.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -182*b - 2970. Give i(-16).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*b - 30, -2*b = 4*z - 6 - 6. Let t(r) = r - 4. Let y be t(6). Suppose 0 = y*u - b - 6. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-12))\/(4\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/(-90) - 26180\/16830?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60400556 to the nearest ten thousand.\nAnswer: 60400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -70. Which is the biggest value? (a) -16 (b) k (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 3770*u - 710645.\nAnswer: -5*(u - 377)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a + 78. Let p be r(8). Suppose -21*n + 14688 = p*n. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-4\/3)\/q))\/(q\/(q*q\/q**4*q*q)))\/(q*q**3*(q**(2\/9)*q)\/q)*((q*q**(1\/3)\/q)\/q)**15*(q\/((q**(-6)*q)\/q*q))\/(q\/(q*q**3)*q) assuming q is positive.\nAnswer: q**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 4*n + 171. Let r = n + -41. Calculate the remainder when 47 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413 (base 9) to base 14\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -65659711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100 is divided by 347?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -2, 1, 2, -5 in decreasing order.\nAnswer: 2, 1, -2, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0497, -3, -0.5, -5, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3*20\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-8)*-1 - 273\/6. Let y = 50 + k. Let q = -4 + 3. Sort y, 1, q in increasing order.\nAnswer: q, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -11. Calculate the remainder when a\/((-101)\/(-52) + -2) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137744 is divided by 379240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.1305917 to two decimal places.\nAnswer: -28.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and 0.617063.\nAnswer: -0.12958323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:14 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**12*j)\/j))\/(j*j**(-20))*(j*((j**(-4\/5)*j*j)\/j)\/j*j)**(4\/9))**(-11\/5) assuming j is positive.\nAnswer: j**(-1243\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 - 2*t**2 + t - t - 9 + 11 in the form a*t + g + c*t**2 + q*t**3 + p*t**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -105*-3.02\nAnswer: 317.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -82. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1713 and 176.5.\nAnswer: -302344.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 3\/4, -0.02, 25, 0.3, 941?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1595306.81 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggrgrgaegggggg. What is prob of sequence ea?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 16. Solve 0 = 3*z + j - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -9, -1\/3, -7.9181?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-68)\/(-18) - 4 - 1526\/18. Let i be (-34)\/s - (-2)\/(-5)*1. Solve 2*g - 1 + 9 = i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10448.8 rounded to the nearest 100?\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/22025470 or 1?\nAnswer: 1\/22025470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20618.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h + k = 9, -3*k - 3 = -3*h. Suppose -h*j + 20 = 4*n, 0 = 4*n - 3*n. Solve -u = j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, y: 6, b: 1}. Give prob of sequence bvvv.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2.9 (b) -5 (c) -0.7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/24 - 132*w**3 - 1585*w**2\/4 - 6279*w. Suppose t(y) = 0. What is y?\nAnswer: -1, 1585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1912 - 1035. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 9:23 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30287, 121153, 272595, 484613, 757207, 1090377, 1484123?\nAnswer: 1938445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*4\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1196 - -1200. Solve 3*u + 22 = -5*r, 2*r - u - w = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = -42. What is the smallest common multiple of 16 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (11 + (7 - 12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -64, -134, -264, -472, -776?\n\"Answer: -3*r**3 - 3*r**2 + 2*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/24*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 12*s**2 + 11*s + 24. Let i be p(-7). Let u = 70 - i. Calculate the smallest common multiple of 110 and u.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1160 + 762. Let b = w - -846. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45568 at least as big as 21.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (1 + 1)) + 0. Let x(n) be the second derivative of -n**4\/4 - n**2\/2 - 2*n. Let v(h) = h**2. Let q(m) = -5*v(m) - 2*x(m). Determine q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -95\/28 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from zhnhsozs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (-8 - (-2 - 2 - 6) - 9).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 1153*s - 10595. Calculate x(-8).\nAnswer: -1627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440032 (base 5) in base 15?\nAnswer: -912c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -852 greater than -1504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -974*c - 516. Is u(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1536.155 and 69937.\nAnswer: 71473.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*b**4 + 8*b**3*f**3 + b**3 - 2*b**2*f**2 - 13*b**2 - 47*b + f**3 wrt b.\nAnswer: -2040*b + 48*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(28*6\/48).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 519*t**2 - 56*t - 55. Is 65 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023623 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11857*c**2*o**2 + 3*c**2*o*z + 2*c**2*z + c**2 - c*o**2*z + c*z - 43*o**2 + 1774*o wrt c?\nAnswer: 23714*o**2 + 6*o*z + 4*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2160 and 45680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3. Let o(u) = u**2 + 6*u + 8. Let i be o(-8). Let p be i\/9 - 6\/(-18). Let c(a) = 2*a**3 - a**2 - 2*a. Calculate p*z(b) - c(b).\nAnswer: b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c**2 + 25*c - 1035. What is u(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 4 + 4)*(-3 + 3 - 9) to the form y*l + k and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 160\/7, -4, -0.5, 17?\nAnswer: 160\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*sqrt(832) + (sqrt(52) + 0)*-4 + -5)**2.\nAnswer: -2400*sqrt(13) + 124950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520766413?\nAnswer: 520766413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*b**2 - 5 + 5 + 3225*b**2.\nAnswer: 2823*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 + 19 - 18 + 2 + 1 - 5 + (4 + 1 - 2)*(-1 + 1 - 1) - 1 + 1 + 2)*(-r**3 - 2*r**3 + r**3) to x + q*r**2 + s*r + i*r**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -43, -0.63, 0.1, 4.\nAnswer: -43, -5, -0.63, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 4) in base 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1*2\/(-8)). Suppose 0*r + 5*p = -2*r + 314, 0 = 4*r - b*p - 600. Does 38 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, t: 1, j: 2, p: 1, e: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/15*180\/(-600)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 + 2.3. Which is the smallest value? (a) -2\/3 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 60. Let t be 55*(12\/b - -4). Suppose -5*m - 105 = -2*a, -a + 3*m = 4*m - 35. What is the greatest common factor of t and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 35*x + 40. Let q be u(-36). Suppose -4*h + 2862 = 4*f + 710, q*f - 2142 = -2*h. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:22 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -18a?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h + 114*h + 69248 = -173*h - 751*h for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**2 - 9 - 531725*y**3 + 43*y - 4*y - 33*y**2 + 531734*y**3 = 0. What is y?\nAnswer: 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 51 = 4*n. Let u be n - (-2 - 1 - 0). Let v(m) = 2*m**3 - 9*m**2 - m + 25. Let b be v(4). Sort u, b, -2, -5 in ascending order.\nAnswer: u, -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 92706888*z + 4297283541322272.\nAnswer: (z + 92706888)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42698252 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*b**2 - 178*b**2 + 497*b**2.\nAnswer: 169*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 542, -381, -63.\nAnswer: -381, -63, 1, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 divided by -47?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*v - 33 = 0, d - 6542 = -4*v - 6566 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/(-3) - 1 - -288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165750 and 53625.\nAnswer: 1823250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26904464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -142 + 0*h + 1\/12*h**3 + 17\/8*h**2. Factor s(a).\nAnswer: a*(a + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 12. Let x = 3 - 11. Let y be (x\/12)\/((-6)\/9). Solve -k*b - 2 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 + 3*d - 2. Let c(y) = 2*y**3 - 6*y**2 - 4*y + 4. What is -2*c(i) - 3*j(i)?\nAnswer: -i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.028 + -0.011. Let j = -0.183 - d. Which is the closest to 8? (a) j (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/80)\/((-15)\/(-8 + 38))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - 0.2. Let w = 1 + -2. Let o = 2 + w. Sort b, 4, o in descending order.\nAnswer: 4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q - 123. What is i(14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -221230103?\nAnswer: 221230122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -o, 4*o - 21 = -h + 4*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -14 - (2 + -8 + 12)) + -5 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.9 - -65. Let t = n - 5.8. What is t rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b01 - 60?\nAnswer: a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h - 5. Let n(l) = -l + 5. Let p be n(2). Let b be t(p). Let a = 67 + b. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -810951 <= -810953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3272, -6549, -9826, -13103, -16380?\n\"Answer: -3277*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1954*s**2 - 20*s - 45. Is b(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 + 23*w + 234\/5.\nAnswer: -(w - 117)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -71662929873845.\nAnswer: -71662929873847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 124520701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:54 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/66*(11 - (-4 - 547)\/(-19)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 14*r**2 - 39*r**3 - 25*r**2.\nAnswer: -39*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 14*h - 7. Calculate o(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -0.2, 2\/3, -4, 1\/4 in ascending order.\nAnswer: -29, -4, -0.2, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 94, 183, 288, 415, 570, 759?\n\"Answer: j**3 - j**2 + 75*j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.36374, 20, 0, 0.3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d**2 + 35*d - 9. Let f(k) = -k**2 + 1. Calculate 18*f(u) + 2*i(u).\nAnswer: 2*u**2 + 70*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1471019 is divided by 490326.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-93856)\/1008 + 93 + ((-1784)\/(-18))\/1\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 4*z + 3. Let r(v) = -5*v**2 - 3*v - 4. Let b(y) = -6*a(y) - 5*r(y). Calculate the remainder when b(12) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*d**3 - 6*d + 309 + 73 - 987 wrt d?\nAnswer: 54*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 90*c**2 - 2*c + 3. Let v be b(-4). Let w be 1246\/182 - -3*(-4 + 632\/156). Is 10 a factor of (-2)\/7 + -7 + v\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13160, 13094, 13030, 12968, 12908?\nAnswer: 12850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 5)*(1 + 0 + 0)*(-4*p - 2*p + 3*p)*(2*p**3 + 8 - 8) to t*p + n*p**2 + b + x*p**3 + v*p**4 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*r - 2*w + 8840, -3*r + 4*w + 6661 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - 0.89. Let u = 0.19 + -7.19. Let t = -7.1 - u. What is the smallest value in -1\/3, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24848 divided by 6.\nAnswer: -12424\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91777 + 46390 = 31*p. What are the prime factors of p?\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131820?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2869, -4708, -6547, -8386, -10225?\n\"Answer: -1839*y - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 186282479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 25512893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189415*h**6 - 78*h**4 - 3*h**2 - 7*h + 1428929.\nAnswer: 22729800*h**3 - 1872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521910722?\nAnswer: 2, 4703, 55487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -50, -76, -102?\n\"Answer: -26*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 11 + 15 - 14 - -23?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28484727 to the nearest integer?\nAnswer: 5337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2 + -3) - 38\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 385448*g**4 - 41018*g - 2 wrt g.\nAnswer: 4625376*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2317 - 2309. Suppose -202 - 446 = -4*p. Suppose s - p = -d*k + 3*k, -4*k - 4*s = -120. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14938 is divided by 2131.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(1\/(-12)). Let v be 27\/(-18) + ((-117)\/6)\/(-13). Sort v, 4, x, 5 in descending order.\nAnswer: x, 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owcc when four letters picked without replacement from ymcocmw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -829, -5371, -17735, -41833, -81577, -140879, -223651?\n\"Answer: -652*l**3 + l**2 + 19*l - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1456707159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = 5*y. Let d(h) = 3*h - 4. Let u(x) = 5*x - 8. Let b(f) = -7*d(f) + 4*u(f). Calculate b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/6 - (-9)\/27. Let g(f) = 0*f + 17*f - l*f. Let h(p) = -2*p**2. What is g(h(q))?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -16*f - 14. Let p(c) = 905*c - 4518. Let i be p(5). Determine w(i).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -0*s - 960. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -6*i + 1\/4*i**4 + 0*i**3 + 0*i**2 + 0. Let x(a) = 5*a**2 - 6*a**2 - 2*a**2 + 2*a**2. What is g(x(v))?\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddadadd. What is prob of picking 2 a and 2 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 - 90 = 48*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 - 82 = 4*i, -5*o - 5*i = -180. Let r = -35 + o. Let k be -1*1 - (r\/1 + -173). What is k rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 238\/99 - 24\/11. Let f = -1.99 - 0.01. Let x = -31 - -30.9. What is the nearest to x in f, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3945)\/(-4) + 400\/(-320). Calculate the greatest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -21*q + 23. Let a be r(-3). Let m = -76 + a. Solve 3*k = -2 - m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8581? (a) -216\/25 (b) 5 (c) 2\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1234, -1235, -1240, -1249?\n\"Answer: -2*l**2 + 5*l - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2307198736 less than 254409?\nAnswer: 2307453145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) 0.1 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(70\/8)*(-4)\/16\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {m: 1, d: 1, o: 2, a: 1, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263.3 - 377. Let a = 112 + -219. Let f = n - a. Round f to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -2. Let o = a - -5. Let p be 5\/((-5)\/(-6)) - o. Solve 5 + p = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 5 = 10*s, -4*c = -s - 17. Solve -7 = -c*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55095)\/3673*(-8)\/(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17894 or 0.066032?\nAnswer: 0.066032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627271.\nAnswer: 3, 67, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 16*s + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162396989?\nAnswer: 2161, 75149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11618 and 1256?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770562669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 760*2*(-11)\/(-2). Suppose -l - d = -4*u - u, u + 4*l = 1651. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -37*b - 146, 6680*f = 6675*f + 5*b - 40 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020936 rounded to six dps?\nAnswer: -0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4*x - 22*q**4 + 69*q**3 - q**2 + q*x - 5893*x wrt q?\nAnswer: 48*q*x - 528*q + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1435 less than -25.3725423651?\nAnswer: 1409.6274576349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 1 - 1 + 2*q**2 - q - 1. What is x(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3 + 5. Suppose -5*o + 6*o - 28 = 0. Suppose 5*h = -3 + o. Which is greater: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03108 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/12*(-34)\/2. Let t = -10 - f. Let j(z) = 9*z**2 + 5 - 13*z - 8*z**2 + 5*z. Determine j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 + 2*u**2 - 2*u - 2. Let b be r(-2). Suppose 5*c + 3*q - 83 = 0, 13 = -2*q + 15. Let a = c + b. Solve s + a*s - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-23\nAnswer: 2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -46 + 53 - 1*5. Suppose -292 = -4*x - 4*n, -141 = -o*x + 37*n - 34*n. What is the remainder when x is divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3359 - 3358. Which is the second biggest value? (a) y (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2112 = y, 0*y + 2*y = -3*v + 1262. Let m = 1251 + -1239. Calculate the lowest common multiple of m and v.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 6. Let i(u) = u + 1. Suppose 9 = -6*x + 3. Let a(j) = x*b(j) - 3*i(j). Give a(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l + 13. Let h be c(7). Suppose 5*j = -2*r + h, 4*r = -r + 4*j + 261. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 3*r**2 - r - 8. Let o(z) = -3*z + 1. Let f be o(-1). Calculate the remainder when 18 is divided by c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173*3.22\nAnswer: 557.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 43. What is the lowest common multiple of k and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 494681838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4 + 6. Let j be 1254\/32604*(-52)\/(-6). Suppose 1 = -0*b - b. Sort m, b, 4, j in decreasing order.\nAnswer: 4, j, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -2\/109, -3\/53?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 39, -45, -255, -633, -1221, -2061?\n\"Answer: -7*t**3 + 49*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*j + 5, s - 5*j = 6*s - 40. Suppose 0 = -h - 3*o - 1, 2*o + 16 - 4 = s*h. Solve -v + h*v - 3*v + 2*v**2 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*d**3 + 10*d**3 + 10*d**3 - 6*d**5 + (-4 - 3*d**5 + 4)*(2 - 1 - 2).\nAnswer: -3*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 84*o + 9. Let v(n) = -n**2 + 14*n + 1. Let c(t) = j(t) - 6*v(t). Let a(u) = 22*u**2. Determine a(c(p)).\nAnswer: 352*p**4 + 528*p**2 + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k - 1. Let m(l) = 23*l**2 + 4*l - 4. Determine 4*f(y) - m(y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4281 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**6 + 40*c**5 - 175*c**3*p + 2894*c**2*p + c**2 + 7 wrt c?\nAnswer: -960*c**3 + 2400*c**2 - 1050*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 736 + -734. Which is the third biggest value? (a) 0.3 (b) 0.07 (c) t (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 5.\nAnswer: 123\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = -0*z - 2*z, 5*c + 4*z = 21. Suppose c*h = -4*l - 0*h + 37, -l - 4*h = -12. Let b = l + -71\/9. Calculate the common denominator of -33\/8 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m**3 - 142*m**3 - 22*m**3 + 20*m**3 - 42*m**3 - 18*m**3.\nAnswer: -250*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18435 (base 12) in base 5?\nAnswer: 2111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 - 7*v**3 + 4*v + 91 - 90 + 9*v**3. Let l be a(2). Find the second derivative of -15*y**5 - 12*y**l + 952*y - 916*y wrt y.\nAnswer: -540*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (31 + -36)*(-15)\/25. Solve 20*p - j = 23*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(153) - 2*sqrt(153)*5) + -4)**2 + (4*(-2 + sqrt(1700))*-5)**2).\nAnswer: -94704*sqrt(17) + 4164054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8180 and 123\/6380.\nAnswer: 2609420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014023172 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 21*c**4 + 450*c**3 - 840*c**2 - 1890*c - 621 = 0.\nAnswer: -23, -1, -3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -38. Let d = 75 - h. Let t be 4\/(-14) - (-161)\/d. Let c(m) = 2*m**3 + 3*m**2 - 3*m. Let k(n) = 6*n**3 + 8*n**2 - 8*n. Give t*k(p) - 8*c(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 1\/14, -3, 0.3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 352, -3\/4, -4\/5, 10\/17, -1\/19?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*v + 32 = -346*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*n + 113*n = 2*s - 4, 20 = 4*n for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 0*b - b)*(-b + b**3 + b) + 4*b**4 - 3*b**3 + 3*b**3 in the form k*b + d + y*b**3 + n*b**4 + i*b**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 794504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) - (-2418)\/14. Suppose -4*t + c = 1. Let z = t + -26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410656 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.8 + 11.8. Which is the biggest value? (a) 15 (b) 0 (c) 0.1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60988.19 litres in millilitres?\nAnswer: 60988190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*q - 22479 + 476 = 17853 for q.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 981713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5*h**2 - 2*h**2 + 29*h - 15 + 6*h + 32 in the form n*h**2 + s + m*h and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 5, f: 2, x: 8}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, 170, 27, 5 in descending order.\nAnswer: 170, 27, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 37466, 2, -5, -6 in decreasing order.\nAnswer: 37466, 2, 1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3427\/16 - 417\/2. Let o = -1\/3182 + 147973\/31820. Calculate the common denominator of o and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110100110001010001111 (base 2) to base 6.\nAnswer: 214002235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -19, -20, -21, -22?\n\"Answer: -m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -4. Let a(u) = u**3 + 11*u**2 - 11*u + 17. Let v be a(-12). Solve p*q - v*k = -29 - 1, 5*q - k = -18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - (675\/(-20))\/9. Let h(n) = 2*n**2 + 0 + 6 - 1 - f*n - 2. Determine h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 18 = -37 + 70 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 11720 = 3152. What is the greatest common factor of 238 and y?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*-248283\nAnswer: 744849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-3) - (-4)\/6. Let o = -1 - w. Suppose o = 2*l - 5 - 1. Is l <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/30 + 2*d**2. Let j(a) be the second derivative of 0*a**3 + 0 + 0*a**2 - 1\/6*a**4 - 2*a. Determine z(j(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1290 and 32700?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 98. Let p = c + -63. Solve -p*t = 2*n + 12, 5 = 2*t - 3*t - n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z. Suppose z = -2*w - 5*u + 196, 20 = 7*u - 2*u. Let r = w - 40. Calculate the greatest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/6*(3 + -6). Let k be (-3)\/((-69)\/12 + t). Suppose k*p = 2*n + 746, -5*p = -7*n + 4*n - 932. List the prime factors of p.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116\/15 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114088836?\nAnswer: 2, 3, 17, 559259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 - (4 - (-1)\/((-6)\/48)). Put 0, j, -3, -24 in descending order.\nAnswer: 0, -3, j, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 395500 or 1977496\/5?\nAnswer: 395500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.1. Let w = 10.3 + -9.37. Let k = 0.43 - w. Which is the third smallest value? (a) k (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**6\/24 + y**5\/12 + 5*y**4\/24 - 5*y**3\/6 + y**2 - 9. Let a(j) be the second derivative of x(j). Factor a(f).\nAnswer: -5*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 137?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/4 - 3\/(-12). Let z = 190.2 - 190. Let u = 0.06 + 3.94. Which is the second biggest value? (a) u (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4306228t?\nAnswer: 430622800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761.5 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 2. Let w(t) = -3*t - 1268. What is 4*l(b) - w(b)?\nAnswer: -b + 1260","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, -0.5, -7\/3, 30, -1\/12, -4\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20124 and 1.\nAnswer: 20124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -19. Suppose 0 = -2*g - v + p, 5*v = -4 - 1. What is the remainder when 43 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2 + 0 + -5. Let m(x) = -3. Let w(i) = 5*i**2 + 2. Let s(v) = 2*v**2 + 121 - 16*v**2 - 126. Let b(p) = -4*s(p) - 11*w(p). Calculate t*m(z) + 3*b(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1966676 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26339*z**3 - 8*z**2 + 119*z - 2 wrt z.\nAnswer: 158034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -22*(-45)\/60*(0 + (-4578)\/(-9)).\nAnswer: 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 7. Suppose -4*k = x, k = l + 2*k. Solve 4*n - 12 = l*a, -a - n - 8 = n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 388*b + 392.\nAnswer: -4*(b - 1)*(b + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 786\/5, -5\/2, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -386.4 rounded to the nearest integer?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57894, 57950, 58104, 58404, 58898, 59634?\n\"Answer: 8*t**3 + t**2 - 3*t + 57888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*g = -49 + 689. Let q(r) = r**3 + 24*r**2 - 34*r + 28. What is the smallest common multiple of g and q(-25)?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 58. Is (-2)\/z*-94 - 4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 21\/2 (c) -0.5 (d) -1\/3 (e) -1\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y + 10. Let i be a(-7). Let n be (i\/5 - 1) + -3. Does 2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 19. Sort k, 12, -4.\nAnswer: -4, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (204\/580)\/(77\/(-55)) and -31\/87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let b = 45.33 + -43.3. Let n = 0.03 - b. What is the nearest to 0.2 in w, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2674 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44\/3630*44 - 2\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*54\/12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -263 (b) 2\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v + 37. Let h be a(-5). Solve i - h*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/3 of a week in hours?\nAnswer: 4424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/10 of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3.7. Let m = t - -0.4. Let p be 24 + -21 - 14\/4. Which is the nearest to p? (a) -0.3 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062274823 to 5 dps.\nAnswer: 0.06227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 5:33 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7810\/7 + -2337\/28. Let r = 1010 - x. Find the common denominator of r and 15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (7 + (0 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m\/m**34*m))\/m)**(1\/27) assuming m is positive.\nAnswer: m**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020330109 to 7 decimal places.\nAnswer: -0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 4*m + 4. Let t be y(4). Calculate the highest common divisor of t and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45478 = 3*d - 5*k - 15632, -5*d + 101850 = 3*k. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 10. Which is the closest to 0? (a) 0.4 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323377133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 617.8 - 477.26. Let q = k - -3.46. Let j = -142 + q. Which is the third smallest value? (a) -0.5 (b) -6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 8*g + 9. Let t be a(10). Let i = t - 360. What is the second biggest value in -5, i, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/54 and -139\/3154980.\nAnswer: 28394820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {r: 1, o: 2, w: 1, v: 6, l: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 15 + 5. Suppose b*x + 44 = 6*x. What is the remainder when 64 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*-2*sqrt(468)*5 - ((sqrt(13) - -1*sqrt(13))*-5 + (sqrt(13) + sqrt(13) + 0 + -4 - sqrt(13) - sqrt(13)) + 0)))**2.\nAnswer: 140*sqrt(13) + 63701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 4395.5?\nAnswer: 8791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/108 and (-5)\/(-30) + 87\/(-45)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222012 - 10?\nAnswer: -222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1993, 8040, 18117, 32224, 50361?\n\"Answer: 2015*d**2 + 2*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10491777 divided by 369\nAnswer: -28433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324972\/6426 - ((-33)\/(-21) - 1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-19 - (-80 - -17))*(-144)\/64.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.1. Let i = 0.03 + -3.03. Let o = -13 - -18. Sort i, o, j in decreasing order.\nAnswer: o, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317829311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7*(-63)\/(-135). What is the closest to -2 in l, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -39, -0.03, -332164, -2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 416.97 + -417. Put 0, x, 0.1, -4\/7 in descending order.\nAnswer: 0.1, 0, x, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*p + 146*p + 133*p + 15708 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284139304.\nAnswer: 2, 31, 1145723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-200)\/(-48) + 40\/48. Solve 8 = 4*f + 2*b, -15*f = -16*f - 4*b - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356 + 431 = 2555*c + 1630 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(2*sqrt(19) + -2)*1 + -3 + (2*sqrt(171)*2)\/((sqrt(900) - (2*sqrt(900) + sqrt(900))) + sqrt(900)))**2.\nAnswer: -988*sqrt(19)\/5 + 31661\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*y - 182, -5*u + 2*y = -3*y - 440. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 12*l**2 + 12*l - 6. Let b(o) = 3*o**3 + 36*o**2 - 34*o + 17. Let g(k) = -6*b(k) - 17*t(k). Factor g(h).\nAnswer: -h**2*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haaaaahaaaahaaaahaa. Give prob of sequence haa.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 12*x + 50. Suppose -3*a = -5*h + h + 25, 3*h - 3*a - 18 = 0. Calculate the remainder when 39 is divided by t(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1867 divided by 1.\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfnzn. What is prob of picking 2 n, 1 f, and 1 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 3923 + 1005 = 0. What is the highest common divisor of s and 6314?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b**2 - 3*b + 2. Let i be a(6). Suppose 4*n = -4*m + 7*m + 220, -n + 60 = -2*m. What is the highest common factor of n and i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 4*o + 0*o**2 - 4*o. Let i(z) = -z**2 + 2*z. Let l(f) = 9*i(f) + 2*q(f). Find the second derivative of l(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 8, n: 1, c: 2, s: 8}. Give prob of picking 2 s and 1 u.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*j**4 + 8\/3*j + 0 + 16*j**2 + 8\/3*j**5 + 74\/3*j**3 = 0. Calculate j.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*q - 17. Let z(o) = o**3 - 14*o**2 - 15*o + 5. What is the remainder when q is divided by z(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 = 2*d - 3545. Let s = -7926 + d. Round s to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 309 - 216. Let p = u + -93.000037. What is p rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) - (7 - 1330290\/50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p\/(p\/(p\/(p**(-10\/9)\/p*p)))))))**(-3\/4)\/(p**(3\/5)*p)**(2\/11))**(-24) assuming p is positive.\nAnswer: p**(-716\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-33)*36 + -54 + 54\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -198\/101, -7, 4?\nAnswer: -198\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3 - 3)*(2*y**2 + 2*y**2 + 0*y**2)*(232 - 50 + 145 + 8)*(-19 + 4*y + 19).\nAnswer: -5360*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261 or 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1\/8 (c) -44 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let x = -0.1 + 0.1. Which is the biggest value? (a) k (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 4*j**2 - 17*j + 24. Let h(y) = 2*y**2 - 8*y - 13*y + 0*y**2 + 22*y. Let i(s) = h(s) + m(s). Factor i(p).\nAnswer: 2*(p - 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 1 + 7, 0 = -p - 5*y - 34. Put -1, 4, 2, p in descending order.\nAnswer: 4, 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-343)\/(-28)*(-1014)\/(-7)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80.9 + -81. What is the closest to h in -2\/15, -0.8, 2\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88652 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 259875860 less than -6?\nAnswer: -259875866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3828660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:49 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhhhhhhhhddhd. What is prob of picking 1 h and 1 d?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -680. Let j = s - -296. Let m = j - 3127\/5. Calculate the common denominator of m and 37\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 808 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.013, -6472 in ascending order.\nAnswer: -6472, -4, -0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 7*w - 4. Let v be y(6). Suppose 10 = -0*p + v*p. Suppose 62 = 4*f + p*l, -f - 52 = -4*f - l. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -158. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:58 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 876, 906, 996, 1176, 1476?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:34 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(7\/5)\/o*o)\/(o**(-1\/4)\/o))\/(o**(-17)*o**7\/o))**(-2\/47) assuming o is positive.\nAnswer: o**(-273\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37237225184 take away 0.1944?\nAnswer: -37237225184.1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bd1f (base 16) to base 3.\nAnswer: 120210000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68)*-2 - sqrt(68))**2 + 3.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + (((sqrt(364) - (sqrt(364) + sqrt(364)*-2))\/sqrt(7))\/sqrt(4)*-6 + -5)**2)*-5.\nAnswer: -9483 - 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 132.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 39*r**3 - 1137163*r**2 - 1108043*r + 29159 = 0.\nAnswer: -1, 1\/39, 29159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 + 3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-30)\/(-12))\/(5\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 209 - 79 - (19 - -169)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 14) to base 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 + (-7 - (0 + -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**4 + 11*a**2*j + 3*j + 3 wrt a.\nAnswer: -28*a**3 + 22*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16978634.01 to the nearest 1000.\nAnswer: -16979000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -206*s**2 + 3*s + 22. Let q(r) = 41*r**2 - r - 4. Determine 2*o(w) + 11*q(w).\nAnswer: 39*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 29*m + 38. What is l(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 28*j**2 - 92. Let x(r) = -r + 1622. Give x(y(a)).\nAnswer: -28*a**2 + 1714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/sqrt(8))\/(sqrt(3) + (6*sqrt(48) - sqrt(3))) + -1.\nAnswer: -1 + sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10 + 6047*k - 6052*k as j + l*k and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*l - 4554 = 791*l - 1671*l for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**20)**(-6)\/(r*r**(7\/2)*r)**(7\/2) assuming r is positive.\nAnswer: r**(379\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -17. Does 4\/25 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-380490.\nAnswer: -760980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*63\/((-63)\/9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q = -57*q. Suppose q = 51*c - 9*c - 13902. What are the prime factors of c?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.78 + 2.22. What is the fifth biggest value in 0.4, a, -16, 2\/11, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 13*t = 600, -60*y - 52*y = -115*y + 2*t - 89 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4340)\/(-175))\/(4\/10). Let j(n) = 2*n + 29. Calculate the least common multiple of j(z) and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {g: 6, u: 3, c: 3, l: 1, p: 1, a: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*w + 252 = -232*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.912 rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*a - 2*r = -141*a, 2*r - 24 = -2*a. Solve -a*c + 30 - 22 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -335, -489?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -30. Let q = g + 39. Solve 0 = h - 0 - q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29580 and 137460?\nAnswer: 2336820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1686)\/3653 - (-2272)\/2782 and -4\/535?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 3. Let o = 15 - 25. Let g = o + 18. Let s(d) = -d**3 + 7*d**2 + 8*d - 5. Let f be s(g). Calculate l(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 greater than 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -49 + -9 + 45 + 11.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14808 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*v - 78, -5*v + 60 - 14 = 4*k. Calculate the greatest common factor of 112 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2. Suppose -18 - 3 = -3*y. Suppose 1 = -2*d - n + y, 14 = 4*d + n. Let s(z) = 4*z - d*z + z. Calculate s(x(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019689 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + -4 + 39 - (-1 + 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-240)\/(12 + -7))\/((-2)\/10). What is the highest common factor of 48 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 354 + -354.059. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10902152 - -6591852. Round s to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -756 - -2189. Let z = r - 135. What are the prime factors of z?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 10)*1*-2. Suppose 5*j + 4*h - 18 = 0, 132*j = 136*j - h - 27. What is the greatest common divisor of f and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - 6*f + 10. Let z(c) = 8*c - 1 - c**2 + 2*c**2 - 2 - 6*c. Suppose -a + 2*a = -4*l - 31, a - 4 = l. Determine l*z(k) - 2*j(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*o + 52*o - 45*o - 34 + 70*o wrt o.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 + -33.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, -4, 3, -2\/65?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/5 + 55434*r**3\/5 - 384088326*r**2\/5 - 384143762*r\/5 = 0?\nAnswer: -1, 0, 13859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -33. Let m(b) = 2*b**2 - 5*b + 4. Let s = -2 - -5. Let w be m(s). What is the greatest common divisor of h and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*-7*66\/77?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 + 136*r**3 - 446*r**2 - 1420*r = 0.\nAnswer: -71, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 73. Let q = w - -119. Sort q, -4\/5, 3.\nAnswer: -4\/5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 0, -27877*o = 4*i - 27874*o - 120 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8025 equal to 8025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*o + 20 = 0, 34*z + 3*o = 35*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/14)\/((-3)\/(-21)). Solve n*z = -z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1563328417 rounded to five dps?\nAnswer: -0.15633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14 = -4*l, -2*k + l + 1 = -2*l. Suppose 0 = k*t - 2 - 4. Suppose t*v - 61 = 4*b, -3*b - 121 = -5*v - 6*b. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1354 and 0.3.\nAnswer: 1354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11306? (a) -0.4 (b) -0.5 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3523 is divided by 1755?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 3780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667907.9 centuries in months?\nAnswer: 801489480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 10. Let x be q(-8). Let l be x\/(-9) + (-260)\/(-36). Solve -4*d - l*v + 24 = -3*v, 0 = -2*v + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 7*d + 6. Let l be v(4). Let u = l - 4. Let k = u - 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4\/5 - 8592*f**3\/5 - 1720*f**2 + 8592*f\/5 + 8596\/5 = 0 for f.\nAnswer: -1, 1, 2149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45038?\nAnswer: 2, 7, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30033 and 846.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 239675, 239637, 239597, 239555, 239511?\n\"Answer: -r**2 - 35*r + 239711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4726197 rounded to 2 dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -1\/2*k**3 - 10 - 3\/32*k**4 + 21\/4*k**2 - 12*k. Factor a(n).\nAnswer: -3*(n - 2)**2*(n + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - 23*t - 3. Let q be d(-3). Solve l = 4*f - q, 2*f - 5*l - 17 = -2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.1941 rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + (sqrt(1700) - 3*sqrt(1700)) + -3)*3.\nAnswer: -60*sqrt(17) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 608.3 and 0.02.\nAnswer: 12.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/(-45))\/14)\/(8\/(-10)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = c + 39. Suppose 0 = -4*u + u + 6. Suppose 0 = 3*h + u*h - 35. Are c and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3143, -3174, -3223, -3284, -3351, -3418, -3479, -3528?\n\"Answer: b**3 - 15*b**2 + 7*b - 3136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -647550 divided by 6\nAnswer: -107925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 16*o + 2. Let l be r(16). Find the second derivative of -19*a**2 - 170*a**3 + 19*a**l - 31*a**3 - 72*a + 35*a**3 wrt a.\nAnswer: -996*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 4 - (-5 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177934419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025\/300 + 1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - (-41 - -57).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 22*r + 129. Let i be z(-27). Which is the second smallest value? (a) i (b) 24 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxmm when four letters picked without replacement from mxmlllxxx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 5*n**2 + 6*n + 2. Let c be o(-6). Let v(h) = h + 1. Let x be v(c). Solve 2*w - 17 = d - w, -5*d - x*w + 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 13. Let h be f(9). Let k be (-17)\/(-5) + h\/10. Find the third derivative of 26*u**2 + u**k - 62*u**2 + 27*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((6 - 0) + (5 - 10) + 21).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 300*r*w**3 - 135*w**3 + 2*w wrt r.\nAnswer: 300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(5) + (sqrt(180) - (sqrt(180) + -1)**2)).\nAnswer: -76*sqrt(5) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.3 - 30. Sort -12, g, 2.\nAnswer: -12, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383369416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 72*y + 1211. Calculate u(-86).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2675, -2560, -2443, -2324, -2203, -2080, -1955?\n\"Answer: s**2 + 112*s - 2788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -17)*(-27)\/(-6) - 888\/(-100).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**2 - a - 1\/3*a**3 + 0. Determine w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -238*w**2. Let i(t) = -t. Give i(q(b)).\nAnswer: 238*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4 - (-18)\/12. Solve -5*m + 1 = -q*c - 10, -2*m = -5*c + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Suppose 0 = -r, -r = -s*b - 0*b + 156. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2253112.\nAnswer: 2, 17, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21776 and 18.\nAnswer: 195984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 220\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-2 - 11) + ((9 - 6) + -9 - -3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v - 2. Suppose -5*k - 5 + 15 = 0. Let g(j) = 3*j**2 - 4*j**k + 1 - j - 2*j + 0*j**2. What is g(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1404235 divided by -5.\nAnswer: -280847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 9. Suppose -h*y - 51 = -9. Is 6 a factor of (-8)\/(-28) + (-164)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 r when three letters picked without replacement from {h: 1, e: 5, k: 2, r: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, -25, -90, -213, -412?\n\"Answer: -3*t**3 - 2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 23*n**2 + 21*n + 32. Determine j(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*b - 350*b + 778*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 - i + 4. Let o = -10 + 7. Let n be x(o). Suppose -3*w + n = -0*w + 4*m, -5*m = -4*w + 157. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908*f = 30*f - 5268 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.15129 litres to millilitres.\nAnswer: 39151.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.47 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 5:17 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -408973, -817671, -1226369, -1635067?\n\"Answer: -408698*p - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-1)\/(-18)). Suppose 2*x + 123 = -x. Calculate the common denominator of x and (-142)\/u + (-6)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 9\/2 (c) -0.24 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10543100 (base 6) to base 3.\nAnswer: 121111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/8*7*(-326)\/10269\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 21*i + 154. Suppose -83 = -2*z - i. Solve z*x = x + k - 4, 5*x + k = -24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a day in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20930*b + 41845*b - 20915*b + 6*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/41*2066\/12396?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-35)\/(-5)) + -2 + 126\/39?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-265472)\/(-20400) - (15 - 0))\/((-4)\/(-6)) + 3?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 83*y - 17. Let g(j) = 39*j - 6. Determine -15*g(u) + 6*n(u).\nAnswer: -87*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9119037984 divided by 6.\nAnswer: -1519839664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -101 + 3 + 0 + -8 + (-111 - -118)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -518 - -517. Which is the nearest to 0? (a) -5 (b) 0 (c) 1\/4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10341 - -114?\nAnswer: 10455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -721 - -725. Solve 5*d = -2*o - 28, 4*d + 2*o - b*o = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 14 + 1 - 2*m**4 - 1 with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0. Suppose 0 = -3*l + o + 19, -3*l + 0*o - 5*o = 5. Let h(z) = -z**3 + 6*z**2 - 4*z - 5. Let u be h(l). What is the smallest value in u, -8, s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24980 = -5*q + 19025. Suppose -q - 2837 = -23*l. Calculate the highest common divisor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(((-6042)\/(-954))\/(5\/3))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, q: 1, z: 2, v: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-6)\/(-252)*7). Let q be ((-8)\/12)\/(2\/84*n). Solve q*y + y - 32 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-108)\/(-189)*2*7. Let y(k) = -k - 3. Give y(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Let p(j) = 13*j. Let i be p(b). Suppose 0*g + s = -4*g + i, -g + 5*s = 10. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -35. What is the smallest value in -0.2, x, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9300 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*k + 5, -2*l + 84 - 11 = -4*k + 61 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 317383852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3*(-182)\/(-312)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/54 and -49\/78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4 = -4*b, 0*b - 12 = -3*t + 3*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8129.316 milligrams to micrograms.\nAnswer: 8129316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**2*y + 284*w**2 + 2773283*w*y - 600*w + 9*y - 46 wrt y?\nAnswer: -w**2 + 2773283*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 2*y**2 + 3*y - 3. Let b(o) be the first derivative of o**4\/4 - o**3 - 2*o**2 + 4*o + 6. Calculate -3*b(m) - 4*r(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6596129 - 1.679582.\nAnswer: -6596130.679582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 18*y = -36*y - 429 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118466895 is divided by 952?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -911 - -4558\/5. What is the fourth smallest value in v, -11, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 38 = 10. Let p(t) = -3*t + 2*t - 4 + t**3 - 6*t**2 - 3*t. List the prime factors of p(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + -2.94. Let v = -2.99999936 - h. What is v rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1\/4 (c) 4 (d) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1540 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2823494691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 5*w**2 + 4*w - 8. Let m be r(4). Let i be m + (-3 - -2 - 0). Suppose -24*k + i*k + 21 = 0. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*(-20)\/15. Let f be 1\/((-1)\/36*6). Is (-205 - f)\/(1 - o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(21\/(-3)) + -8. Solve -m*d + 0 - 5 = -a, -5*d + 2*a - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -17.3. Let v = c + -0.3. Let y = -1 - -1.4. Is y smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(0 - 48)*98 and (3 - (-143)\/(-33))*40\/48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2572232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c + 1. Let s(f) = f**2 + 8*f + 3. Let t be s(-7). Let n(j) = -5*j + 1. Calculate t*o(r) + 5*n(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -31413523804?\nAnswer: 31413523808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8398.\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -180? (a) -2 (b) -1\/3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439696591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5079157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*z + 4*r, -2*z - 3*r + 5 = 0. Put 1196, -4, z, -2 in increasing order.\nAnswer: z, -4, -2, 1196","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2691 and 3042?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 37*k + 126. Give j(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t. Let o(k) = -k**2 - 2*k + 2. Calculate 2*b(d) + o(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3))**(1\/39)*(p\/(p\/p**(-1)))**36)**7 assuming p is positive.\nAnswer: p**(-29498\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/319858 and 8\/9406733.\nAnswer: 206948126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -686401, -1372797, -2059191, -2745583, -3431973, -4118361, -4804747?\n\"Answer: j**2 - 686399*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178898881?\nAnswer: 3, 43, 223, 75743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482706.\nAnswer: 2, 3, 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*1 + (-4)\/(-2). Let f = 11 - 0. Let w = f + -3. What is the greatest common factor of w and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78812?\nAnswer: 2, 17, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d - 3*v + 26, v - 38 = 5*d. Let t be (-4)\/d + (-238)\/(-4). Suppose 543 = 170*f - 2202 - 1335. What is the highest common divisor of f and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 383, 832, 1461?\nAnswer: 2270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 12 - 0. Is 27 a factor of (d\/(-5))\/(6\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 931, 3572, 7975, 14134, 22043, 31696?\n\"Answer: -u**3 + 887*u**2 - 13*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 973376*j**6 + 3*j**5 + 9522588*j**2?\nAnswer: 116805120*j**3 + 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111110011010 - 1?\nAnswer: 1010111110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 - (-290)\/(-8). Let m = u + 51. Suppose 0 = -4*w - 3*j + m, -30 = -2*w - 2*w + 2*j. Calculate the lowest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/14 - (-11938)\/(-658). Put -5, k, 19\/3 in decreasing order.\nAnswer: 19\/3, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -9. Let s = 5 - 5. Let j = s - -10. Solve 0 = 3*g - j + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -61137?\nAnswer: 61141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 10556?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -6*k**2\/7 + 6834658*k\/7 - 4556436\/7 = 0.\nAnswer: 2\/3, 1139109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/3 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*p + 26, 0*p = p - o - 7. Let b = p - 8. Sort -4, b, 1\/2 in ascending order.\nAnswer: -4, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(28)\/sqrt(7))*4 + -4.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22266.42nm to millimeters.\nAnswer: 0.02226642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2779527 to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n - 4*n**2 - 119*n**3 + 4*n**2 + 120*n**3 + 4 to the form r + b*n**3 + t*n**2 + z*n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -25. Suppose -4*i = -2*u + 20, -2*u - 7 = 2*i + y. Let g = -4 - -17. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179\/792 + -1\/264. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14*g + 451. Let b be w(-32). Solve -1 = b*t + 5*f, t = 5*t - f - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 72*p**3 + p**2 - 2*p + 1. Let b be g(1). Let q be 200\/b + (-4)\/(-18). Solve -q*j + 1 = 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*m**2 - 111*m**2 - 1 + 239*m**2 + 1.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605*l - 568*l = 185. Solve -l + 176 = -57*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109223*n**3 + 81442?\nAnswer: 327669*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 198193634?\nAnswer: 198193633.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 + g - 1. Suppose -5*q = -0*q - 5, -i = -q - 37. Let o = i - 22. What is the remainder when o is divided by w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/3)\/(1\/3). Suppose q = -3*a + 1229 - 208, -2*q = x*a - 1701. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1010000001100?\nAnswer: 1010000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from {c: 2, n: 4, h: 2, t: 4, w: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29330*p**3 - 2*p**2 - 123912*p.\nAnswer: -175980*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -130110031000?\nAnswer: -130110031011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.047, -0.148, 1\/14, 0.09?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32146395*z**3 - 29930951*z**2.\nAnswer: 192878370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28415582, -56831156, -85246730, -113662304?\nAnswer: -142077878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393684?\nAnswer: 2, 348421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4)\/24 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 181201201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -305 - -310. What is the third derivative of -p + 210*p**3 + 0*p + 11*p**2 + 0*p - q*p**3 wrt p?\nAnswer: 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79f9 + -6fb?\nAnswer: -80f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -1\/2*b**2 + 0 + 1\/6*b**3 - 2*b. Calculate j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 105 = 2*k. Suppose 2*s - k = 1. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29069 (base 10) to base 15\nAnswer: 892e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 33*s. Let n(t) be the first derivative of -t**6\/360 - 2*t**3\/3 + 13. Let j(z) be the third derivative of n(z). What is o(j(u))?\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 131 = 10*t - 9*y + 91, -5*t + 23 = -4*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 71*k + 239. Calculate h(-2).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 3 (c) 0.1 (d) -0.6058\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583200 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let d be 4\/(-7) + 64\/(-84). What is the closest to 1 in -1\/8, d, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyhysyhysyyeyyssslh. What is prob of sequence lh?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2411671775871 and -15.\nAnswer: -2411671775886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -57446 (base 10) in base 14?\nAnswer: -16d14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/1 + 2)*3. Suppose -4*b = b + 20. Let l = b + 2. Let c(f) = 2*f + 1. Let d(x) = -2*x - 1. Determine l*c(i) + w*d(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93688.\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119 in 3\/4, 1, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -400\/21?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 12*i + 3. Let z be m(-3). Find the common denominator of 10\/6*z*(-1)\/(-98) and -75\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 379*r**2. Let o be s(2). Suppose -4*f + o = 2*n, -5*n + 4*f = -2*n - 2264. Find the common denominator of n\/160 + -2 - 2 and -29\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a = -12*a - 23*a + 10836. Calculate the remainder when 312 is divided by a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 34 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3827*y**3 + 19645*y**2 + 2582755*y + 16 wrt y?\nAnswer: 22962*y + 39290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by -36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58394\/9 + -6716228\/1035. Let d = 4819\/920 - g. What is the common denominator of 25\/14 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 115. Calculate the remainder when 77 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 945, 950, 957, 966, 977, 990?\n\"Answer: h**2 + 2*h + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 736933, 736939, 736945, 736951, 736957, 736963?\nAnswer: 736969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 2, 4, 3, 9, -1975.\nAnswer: -1975, -39, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2\/4 - 61221*u\/2 - 122430 = 0?\nAnswer: -40810, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, -131, 4, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41756 and 9620.\nAnswer: 7724860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164697 and 94341?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -40441595 > -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 6*o**2)*(14 - 9*o**2 - 14) - 1 + o**4 + 1.\nAnswer: -53*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d + 19. What is x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*r**(1\/4)\/r)\/r*r)**(-11\/9)*(r\/(r**(-3\/7)*r)*r)\/(r**(-2\/3)\/r)*(r**(-10)\/r*r**(-1\/2))**(-1\/10) assuming r is positive.\nAnswer: r**(157\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 3675.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 24 = -11. Let q be (-6)\/21 + (-12960)\/k + 0. Round q to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 32 = 12*q + 59 - 36, -3*o + 2*q - 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1589, -1\/3.\nAnswer: -2\/5, -1\/3, 1589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Let r be (-2)\/j*(3 + -3). Differentiate 5*k - 2 - 1 + 0 + r with respect to k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -33 + (-1)\/(-1). Let z be (-12)\/f - 496\/(-10). Suppose 0 = -v - 3*t + 24, 4*t - z - 2 = -3*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 67. What is the smallest value in k, -18, 1\/8?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -1, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17*m**3 - 6*m**2 + 3. Let w(l) = 18*l**3 - 6*l**2 + 2. Let d(q) = -2*k(q) + 3*w(q). What is the third derivative of d(b) wrt b?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326422 is divided by 348?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v**4 + 9*v**2 - v**3 + 5*v**4 + 1 + 6*v**4 + 4*v**4 + 11*v**2 to the form x*v**4 + h + m*v**3 + u*v**2 + w*v and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*l - 3*l + 12 = 0, 5*k = -3*l - 30. Let b(h) = -3*h - 14. Let q be b(k). Are q and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/9 (b) -2\/17 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13*(-2)\/(-13)*(558\/4)\/3. Solve 4*y - 2*v = 2, 88*v - s*v - 15 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 36915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547942093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1202860744.90664 + 4067.90664. Let n = 1202856693.10000113 + s. Let b = 16.1 - n. Round b to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004343 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 40 = r, 2*r + 0*r + 5964 = -70*m + 5644 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/5)\/(156\/(-3640)) + (-4 - -11 - -4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 2:39 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15864810 by -390.\nAnswer: 40679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17052276 is divided by 83?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 1035*f**4 - 1004*f**3 + 1044. Find the third derivative of m(r) wrt r.\nAnswer: 24840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 - 3*k - 1. Let f(n) = -4*n - 18. Let q be f(-6). Determine u(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 46350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 111?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3\/5*p**2 - 1\/5*p + 0 + 1\/5*p**3 - 3\/5*p**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -468.1 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 - 9*y - 10. Calculate c(-7).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12915 + 1.87085. What is the fourth biggest value in -2\/11, r, 2\/997, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*-166442.\nAnswer: 8987868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 + 139. Let k = 154 + -154. Solve k = -m*h + h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5110868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3332*a**3 + 14 + 2*a**2 + 3327*a**3 - 6660*a**3 + a in the form h*a**3 + u + r*a**2 + p*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2280 and 2032680.\nAnswer: 38620920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126 is divided by 620.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -875c94 (base 14) to base 6\nAnswer: -242155214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 214*f - 5871. Give d(-144).\nAnswer: 4785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 376\/69097 or 0?\nAnswer: 376\/69097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + -0.04. Let t = -1 + 1. Let r be (-2 + 1)\/(t - 1). Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 29. Let l = u + 24. What is the least common multiple of 4 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-188)\/6 - 6\/(-9). Suppose -3*c - y = -41, -c - c + y + p = 0. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 424*i + 14490. What are the prime factors of d(0)?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 146. Let q(s) = 73. Give 3*j(d) + 5*q(d).\nAnswer: 15*d - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -21 - 54. Suppose 120 = h*x - 9*x. What is the second smallest value in -2\/7, 4, -2, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8156 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/11, 5, 33.83 in increasing order.\nAnswer: -0.5, 4\/11, 5, 33.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2) - ((sqrt(11) + (sqrt(275) - (sqrt(275) + 1 + sqrt(275))) - sqrt(11)) + sqrt(11)) - (sqrt(1100) + sqrt(1100)*-1 + -3))**2 + -1.\nAnswer: 48*sqrt(11) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-9)\/12). Suppose -29 = -s + u. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/3 + 35*k. Let q(y) = -17*y**2. Give h(q(x)).\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361784 is divided by 1155?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.2 + 40.5. Which is the nearest to -0.4? (a) r (b) 0.5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 325 + -324.9841. Round x to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -49 (c) 0.03 (d) 5 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7380*b + 4049*b = -342870 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5*a**3 + 0 - 3\/2*a**2 - 1\/10*a**4 - 17\/5*a = 0.\nAnswer: -1, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32811.44 rounded to the nearest one hundred?\nAnswer: -32800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 290 (b) -0.03 (c) -4\/9 (d) 27 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-165) + ((-9)\/9 - (-870)\/(-25))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (9 + 1 - 4 - (11 - 6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 11:14 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 770 + -314. Suppose -11*v = -15*v + w. Suppose v = 3*q - 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 1. Let k(o) = -119*o**2 - 916. Let u(m) = 20*m**2 + 157. Let t(p) = 6*k(p) + 35*u(p). What is 3*h(g) - 3*t(g)?\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69781706.\nAnswer: 2, 67, 520759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(5\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2141 + 2152. Solve d*v = v - 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -87*n**9\/56 - n**6\/60 + 112*n**5\/15 - 3*n**2 - 239*n - 2. What is the third derivative of z(o) wrt o?\nAnswer: -93960*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let j(m) = 3*m**3 - 4*m**2 - 6*m + 12. Let f(s) = j(s) - 5*u(s). What is the units digit of f(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6 + 0*n**2 + 2 + n**2 - 13. Calculate t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 3024?\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**5 + 1 + 32*o**2 - 56*o**3 + 48*o**4 - 3*o**5 - 3*o**5 - 9*o.\nAnswer: -(o - 1)*(2*o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(1\/2)*(m*m**(1\/17))\/m**(-6))**(-23) assuming m is positive.\nAnswer: m**(-16951\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36 and 69\/570560.\nAnswer: 5135040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -1\/12*g**4 + 0 + 1\/20*g**5 + 0*g**2 - 2*g + 0*g**3. What is the third derivative of x(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.69 - -6437955593.39\nAnswer: 6437955592.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:43 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f**3 - 27*f**3 + 93*f**3.\nAnswer: 99*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157424?\nAnswer: 2, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d - 104. Let i be k(20). Solve -2*q + 10 = -0*q, -4*q = 2*c - i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38e8ea (base 15) to base 5.\nAnswer: -1144414040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*d + 5*w, -5*w + 0*w + 6 = -3*d. Let x be 19 + (-8 - d) + 2 + -1. Calculate the highest common divisor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6788 - -6998. What is the remainder when g is divided by 122?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 1373*z**2 + 2743*z - 1371.\nAnswer: (z - 1371)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -11002211200112?\nAnswer: 11002211200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - -12) + (-4 + -3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 3*g**2 + 3*g - 5. Let k be 2*19\/(3 + 16). Determine b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9942118.\nAnswer: 2, 23, 216133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -z - 15*r + 119, -8 = 2*r. What is the highest common divisor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 2351, -10 in descending order.\nAnswer: 2351, 11, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c**2 + c - 1. Let t be k(2). Let r be 74\/14 + 2\/t. Suppose -116 = -s + r*s. Round s to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -6, 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*h + 145, -4*m + 645 = 5*h - 6*h. Let q = -51 - 14. Let a = q + 85. What is the greatest common factor of m and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 8*g - 18. Suppose 4*v - 3*v + 1175 = g*a, -a + 383 = 4*v. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37182527 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 89. Suppose -2*j - 3*j = -30. What is the remainder when j is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n + 385 = 14*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71\/38, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 30*i + 1. Let u(y) = -7*y**2. Determine v(u(w)).\nAnswer: -210*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*n - 15, -n - w = -0*w + 7. Let j be (8\/(-10))\/(n\/15). Calculate the common denominator of 42\/11 and 129\/(-6) - 4\/j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))\/y)**(-40)\/((y*y*y*y**(2\/21)*y*y)\/(y\/((y**(3\/7)\/y)\/y))) assuming y is positive.\nAnswer: y**(157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2 + 15*z - 1. Calculate the remainder when i(-5) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:29 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -283, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 5, 9358 in descending order.\nAnswer: 9358, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c**2 - 6*c - 2. Let l(d) = 17*d**2 + 5*d + 2. Let i(o) = -6*l(o) - 5*r(o). Let x(t) = 2*t. Give x(i(p)).\nAnswer: -44*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60060 and 8461068?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 56?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + -3.89. Let t be -1*(0 - 1\/(-7)). Let n = 805 - 806. Put n, t, u in ascending order.\nAnswer: u, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 + 3 = 0. Let i be -1 + p - (-1 - -2). Let 1\/2*m**4 + 1\/2*m**2 + i + m**3 + 0*m = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 + 8*q - 1. Let r(o) = 2*o**3 - 2*o**2 + 7*o. Let w be -5*1*3\/(-3). Let t(y) = w*r(y) - 4*z(y). Is t(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50420?\nAnswer: 2, 5, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 4. Let f(b) = 8*b + 10. Let s(k) = 4*f(k) - 10*v(k). Let l(c) = -462*c. Determine l(s(q)).\nAnswer: -924*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + (sqrt(125)*2 - sqrt(125))).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156749, -156751, -156753?\n\"Answer: -2*z - 156747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times 7\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*j, 0 = 3*l - 0*l + 5*j - 32. Let t = 16 - l. Solve i - t = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8*24\/9. Suppose -y + 26 = k. Is 7 a factor of (k - (1 - 2)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(91) + sqrt(91))\/(sqrt(56)\/(sqrt(32)\/sqrt(4) + sqrt(8))).\nAnswer: 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89*b + 26*b - 5*b**5 + 1 + 2*b**5 - 27*b**4 - 102*b**2 - 78*b**3 - 16.\nAnswer: -3*(b + 1)**4*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**4 + 20*w**3 + 95*w**2 + 70*w = 0?\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100298.\nAnswer: 2, 11, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b8 (base 13) to base 9.\nAnswer: -4545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 820 and 4?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1973436 at least as big as -1973489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14862?\nAnswer: 2, 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 576*u + 7597. Determine p(-13).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14*(-23 + 4602\/208).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -113123022203 (base 4) to base 13\nAnswer: -136cca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 9*c - 21. Give t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -2. Let v = -1145\/7 + 164. Suppose 36*u - 27*u - 45 = 0. What is the nearest to 1 in t, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2921*o**2 + 5404*o**2 - 2485*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -681498913*s**2 + 2*s**3 + 681498913*s**2 + 5349*s in the form m*s + w*s**3 + y*s**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**3 - 92*d**2 + 160*d - 76.\nAnswer: 4*(d - 1)**2*(2*d - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = -62. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23139121.8 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.0297 - 1027992.5.\nAnswer: -1027986.4703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42790 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/9 - 1991*c**2\/9 + 992015*c\/9 - 990025\/9.\nAnswer: (c - 995)**2*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -125, -222, -317, -410, -501?\n\"Answer: r**2 - 100*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 7. Let o(k) = k**2 + 11*k + 12. Calculate o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 5*f - 4. Let b be n(-6). Let r be b\/9 + 2\/(-9). Suppose -3*p + 11 + 4 = r. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 26*m**2 + 130*m + 25. Let z be n(-12). What is the highest common factor of 78 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + p**2 - 2*p**3 + (2 + 1 - 6)*(1 + p**3 - 1)*(0 + 1 - 4).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/115 (b) 2\/13 (c) 3 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155.77 + 161. Let g = v - 1.23. Which is the closest to 1\/4? (a) g (b) 1\/3 (c) -1\/2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (12 - 0) - (-8 + 7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63382141.5 take away 110337?\nAnswer: 63271804.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ippipipppppppppppppp.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgushcu. Give prob of sequence ch.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 32*x**2 - 32*x + 50. Give p(-33).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737336534.\nAnswer: 2, 11, 19, 1763963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:40 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.0915 + -1.2915. Which is smaller: l or 776\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 14 = -2, 4*t - 1 = h. Let x be (-1 + t)*(-5)\/(-10). Suppose x - 5 = j. Which is the smallest value? (a) -3\/8 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12099513.3116 - -12101508. Let n = f - 1977.6883974. Let h = -17 + n. What is h rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 3*k**2 + 4*k - 3. Suppose -5*c + 6 = -9. Suppose -c*y = 30 - 36. Let f be i(y). Let o(v) = 13*v + 1. Give o(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 419 = 3*l, -7*l - 4*j - 145 = -6*l. Which is greater: l or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 1580 = c. Let y = -41 + c. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 54077*o + 1406055. What is u(-26)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 2*y + 39. Let z(w) = w - 1. Let u be z(1). Is p(u) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 59, 135, 241, 377, 543, 739?\n\"Answer: 15*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**4 + s**4 + 0*s**4 + (7*s**2 - 4*s**2 + 3*s**2)*(-3*s**2 + 0*s**2 + s**2 - 3*s) to l*s**2 + f + o*s + r*s**3 + u*s**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 156. Which is smaller: -0.3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19 + (9 - (-13 - -17)). What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*4*2)\/(sqrt(96)\/sqrt(288) - sqrt(12)).\nAnswer: -48*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 444656.1m?\nAnswer: 44465610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5e0da (base 15) to base 12\nAnswer: 125b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (3 - (-4 - -7)). Suppose i*d - 2*n = -0*d + 56, d + 2*n = 9. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 543.6096t?\nAnswer: 543609600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)\/n)**(1\/5)\/((n*((n*n\/n**(-1)*n)\/n)\/n)\/(n**(-3)\/n)) assuming n is positive.\nAnswer: n**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:54 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*s - 14*s - 250 - 1427 - 635 for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*w**3 - 51*w**2 + 90*w = 0. Calculate w.\nAnswer: -5\/3, 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.003 - 0.867. What is f rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*b**2 - 457*b**2 - 456*b**2.\nAnswer: 140*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 - (-16464)\/(-1099)) + 0 + 2. Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 + 0.78. Which is the biggest value? (a) 0 (b) -0.11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -201 (b) -4 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -0.6. Suppose 0 = 2*g + 2*o - 3*o + 9, -g = 3*o + 1. Which is the closest to u? (a) 0 (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*z - 1905 - 779 = 1900 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 - 8*d - 4. Give n(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + k**2 - 10*k - 8*k**3 + 7*k**3 to c*k**2 + z*k**3 + g*k + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279949208 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: Round 0.0051266217 to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2\/2 + 5*g - 7. What is f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*1\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4013, 8048, 12097, 16160, 20237, 24328, 28433?\nAnswer: 32552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4002 = 3*z + 3*g, 5*z + 0*g = 5*g + 6650. Suppose -86*s + 89*s = z. List the prime factors of s.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 + 2*c**2 - 1 + 3*c**2 + 2 to the form i + j*c + s*c**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 2*r. Let n be t(2). Let p be 15\/(-10)*n\/3. Suppose p*w - 66 = -14. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920896445.\nAnswer: 5, 7, 3758761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r + 240. Let u(p) = 5*p - 32. Let v be u(17). Let a = r - v. Calculate the highest common factor of a and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1021*c - 5. Let v be l(-1). Suppose 0 = y - 5*w - v, 1990 = 5*y - 3*y + 4*w. Suppose -6*n + 307 = -y. List the prime factors of n.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 125.\nAnswer: -27\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 9. Give k(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6*j = -664. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.56. Suppose z - 3 = 3*k, -5*k - 37*z = -39*z + 6. Let f = -0.2 - -0.3. Which is the closest to f? (a) k (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16179111 - 1388.\nAnswer: -16180499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/19 + 5297080*l\/19 + 5297082\/19 = 0. Calculate l.\nAnswer: -1, 2648541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/7, -1082, -0.749, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 773456 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, k: 1, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:02 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 120002?\nAnswer: 113301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**3 - 36*t**3 - 2*t**3.\nAnswer: -57*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. Suppose -4*d - 5*p - 19 = 0, -d - 3*p - 7 = -3*d. What is the smallest value in f, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -11*o + 125. Let b = -98 - -148. What is the greatest common divisor of o and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 2*g + 6. Determine s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 3*h - 4. Suppose -5*g - 33 = -0*y - y, -3*g = 5*y + 31. Let v(m) = -m - 3. Let t be v(g). What is s(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -441877640 and -441877639 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -1566\/985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c + 6 - 30. Solve c*p - 6 = 5*j, -2*p - 6*j = -2*j - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1861 - 1941 = -20*u. Suppose -10 = -5*i + 3*n, 0 = 5*i + 2*n - 3 - 7. Suppose -2*g + 7 = 5*y, 2*y + g - 3 + 1 = 0. Sort i, u, -2, y.\nAnswer: -2, i, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. What is the second derivative of -t*k**3 - 2*k - 3*k + 4*k**3 wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 1. Let t be b(-2). Let v(o) = -3*o. Let m(z) = 151*z**2 + 10*z + 2 - 3 - 152*z**2. Determine t*v(j) - 2*m(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -0.3. Let z = -83 - -911\/11. Let h be 4\/(16\/10)*4\/(-40). What is the nearest to h in 2\/9, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/((-4466)\/(-1320))*7\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -68241137722 and 40.\nAnswer: -68241137682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/7, -0.03, 45\/32, -3 in ascending order.\nAnswer: -4, -3, -0.03, 3\/7, 45\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*-1*10\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*l + 17*l**2 + 64*l**2 - 18*l**2 + 459*l + 54*l**2.\nAnswer: 117*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2*q + 2)*(1 + 2*q - 1)*(5 - 2 - 1) in the form z*q + b*q**2 + r and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -4*q**3\/3 - 265. Let c(p) = -102*p. Give c(b(v)).\nAnswer: 408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:56 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*z - 1516 - 1544 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)*z**(-4)\/z assuming z is positive.\nAnswer: z**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 30*v - 180. Let b be p(6). Put 5\/51, 0.1, b in decreasing order.\nAnswer: 0.1, 5\/51, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-10)\/(-275))\/((-1)\/(-15)))\/3. What is the second biggest value in i, -1, -0.6, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73806425 divided by -115.\nAnswer: 641795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 13) to base 15\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23*-0.116\nAnswer: 2.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*a - 159*j + 77*j = -69*a - 77*j - 95, j = -4*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -360, -522, -674?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 4, k: 2, s: 2, w: 4, u: 3, y: 3}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let v(o) = 2*o + 9. Let b(n) = -2*f(n) - v(n). Let a(h) = -4 + 0 - 2*h + 0. Let u be 0 + -13*(-3 + 2). Give u*a(k) - 6*b(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 1906674.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5388, 22065, 49888, 88875, 139044, 200413?\n\"Answer: 3*l**3 + 5555*l**2 - 9*l - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*h*l**2 - 13*f*l**2*p + f*l - 23*f - 2590*h*l**2*p - 2*h*l**2 + h*p + 185*h - 3*l - 4 wrt p.\nAnswer: -13*f*l**2 - 2590*h*l**2 + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2189927*s + 85*s**2 + 1 + 2189928*s - 6*s**3 to the form d + z*s**3 + o*s**2 + j*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -17910788?\nAnswer: -17910788.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*o + 13 = 0, 3*b - 5*o - 6 = -3*o. Calculate the common denominator of (5 - b)*71\/3 and -24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yjydydyydjyyd?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4781 + -4780. What is the closest to -3 in c, -1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m - 72. What is t(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(432))\/sqrt(9))**2 + -3*(sqrt(432) + 1).\nAnswer: -36*sqrt(3) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -29478347 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-10)*(-12 - -7). Let t be -2*(-6)\/8*m\/(-9). Solve c + 5*l = 21, -4*l + 20 = -t*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50298 + 543469892\/10805. Let m = v - -200969\/21610. Calculate the common denominator of 8\/25 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Suppose -27 = -5*h + 3*d, 2 = -2*h - 4*d + 2*d. Suppose 3*t + 0*t - 4*k - 6 = 0, -h*t - q*k = -27. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byk when three letters picked without replacement from {p: 3, h: 2, b: 4, k: 1, y: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1891, -1881, -1857, -1813, -1743, -1641?\n\"Answer: y**3 + y**2 - 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6759 and -1044.\nAnswer: 5715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -691*d - 10376. Give n(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p + 3*f, 67*f + 21 = -3*p + 62*f. Let o = -73 + 76. Put o, 4, -8, p in descending order.\nAnswer: 4, o, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(720) + -1 - sqrt(5)) + sqrt(5) + sqrt(5) + ((sqrt(5) - 2*sqrt(5))*6 - 2*(1 + sqrt(5)))**2).\nAnswer: -1288 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35)\/(12\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85567398?\nAnswer: 2, 3, 7, 109, 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooos when four letters picked without replacement from ossssoossssssss?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -7, 9, -4, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.157 - 2.457. What is the closest to 1 in -2\/7, x, -45\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84373?\nAnswer: 139, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5846, -4971, -3514, -1475, 1146, 4349?\nAnswer: 8134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {o: 5, r: 2, k: 8, u: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.5, 4848 in decreasing order.\nAnswer: 4848, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - t**2 + 2*t**3 + 2*t**3 + 0*t + (2*t - 2*t - 2*t**2)*(-8 + 8 - t).\nAnswer: 6*t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-590 - 429 - 127)*(-8*m + 8*m**2 + 8*m) in the form f*m + j + c*m**2 and give c.\nAnswer: -9168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f + 28*f**3 + 5 - 4 + 25*f - 4*f - 11*f as l*f**2 + j*f + c + u*f**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/5 of a meter?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/3691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 4*n**2 - 5*n + 23. Let g be r(4). Solve -3*p + 0 = -3*t - g, -p = -2*t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2205*l**3 - 18 - 1109*l**3 - 1097*l**3 - l - 18*l**2. Let g = 14 - 32. Let n be h(g). Solve n = -2*s + 6*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29108 and 10222.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1917.3 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 3*m + 3, 36 = u + 8*m + 38 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -42*g - 193. Let a(y) = 38*y. Give h(a(s)).\nAnswer: -1596*s - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 + -352. Let u = t - -140. Solve 3*y = j + 5, u*y - 11 = 5*j + 14 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -47, -57, -67?\n\"Answer: -10*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2184128149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*v + 83, 3*v = b + 4*b + 63. Let g(u) = u + 19. Let h be g(b). Put -3, 1\/3, -0.3, h in increasing order.\nAnswer: -3, -0.3, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 9) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19576 (base 13) to base 8.\nAnswer: 140174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083567895 to the power of 1\/2, to the nearest integer?\nAnswer: 32918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 3:44 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(2)*2))\/(sqrt(110)\/(sqrt(10)*-2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -a. Let o = a + 42. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 162, 241, 322, 405, 490?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -575 - 325700237.\nAnswer: -325700812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(153)).\nAnswer: 5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**3 + 14*v**2 - 30*v + 12. Give x(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2 - f - 2. Calculate t(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 9*x**3 + 126.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, q: 11}. Give prob of sequence qq.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11668982.3 rounded to the nearest 10000?\nAnswer: 11670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o + 49. Is x(5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 1, i: 6, v: 3}. What is prob of picking 2 v and 2 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)\/m**1*m**(6\/11)\/(m*m*m\/m**(-1\/2)*m))**(-1\/57) assuming m is positive.\nAnswer: m**(35\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 - 50\/(-15). Suppose -3*n = o*n - 54. Solve -4*k + n = -5*l, -2*l + 3*k = -2*k + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f + 81*f = 63*f - 125232. What is the remainder when f is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7644 divided by -294.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {f: 3, k: 2, u: 3, b: 1, c: 5, o: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 + m - 15. Let p be z(0). Let l be 3*-14 - (-12)\/(-6). Let h = 29 + l. Do p and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v - 10. Let c = v - -37. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/270*-5)\/((-6)\/(-12)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, q: 6}. What is prob of picking 1 q and 2 f?\nAnswer: 216\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1027235 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.04 - -0.04. Let g = 8662\/19 - 456. Sort g, 2\/15, z in descending order.\nAnswer: 2\/15, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/56*(-3)\/18 - (-15)\/(-210)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -3, 2, 2\/21, -11597?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-405)\/324)\/(-2*1\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3081, -6160, -9237, -12312, -15385, -18456, -21525?\nAnswer: -24592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**3 + 2*q**2)*(8 - 3*q**2 - 8) + 7*q**5 + 26*q**5 - 13*q**5 - 2*q - q**5 + 2*q + 0*q**5 + q**5 - 3*q**5 + (-1 + 3 - 1)*(-q**5 + q**5 + q**5).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvieuyeybyu. Give prob of picking 3 u.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -28*j - 403. Let q be c(-44). Let f = -729 + q. What is the greatest common factor of 50 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*2\/4 + -3. Let l = -1 - k. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/106, -6165, -0.1 in ascending order.\nAnswer: -6165, -0.1, -7\/106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, t: 5, k: 4, h: 1}. Give prob of picking 1 k and 1 t.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001203171543 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - 6)\/(31\/(-291989))?\nAnswer: 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.284955494 to 5 dps.\nAnswer: 0.28496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 222202?\nAnswer: -222132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 1439*g - 12870 = 0. What is g?\nAnswer: 9, 1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Suppose -15 = -3*o + z + 16, -2*z = 8. Suppose -39 = -o*k + 6. Let q be c(k). Solve 0 = u - 2*u + q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -1. Suppose -5*d + b = -d. Let i(y) = -8*y**3 - 2*y**2 + y + 2*y**d. Determine i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*k**2*p**2 - 2*k**2*p - 1879*k**2 + 2*p**2 with respect to p.\nAnswer: 106*k**2*p - 2*k**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/48918995 and -45\/37.\nAnswer: 48918995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z**2 - 7*z - 5. Let r(j) = -8*j**2 + 3*j + 2. Let x(b) = -3*h(b) - 7*r(b). Give x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let w(n) = n**2 + 1. Let i be w(a). Suppose -i*d = -2*c - 16, -2*c - 2*c - 4*d = -8. Sort c, 0.1, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 504 + -352. Let v be (-7 - k\/(-16))*(-12)\/(-10). Solve -3*w - 2*w + b + 23 = 0, -3*w + 3 = v*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-146)\/(-9) + (-20)\/90. Let m be 4 - 0*(-3)\/(-9). Suppose -3*s = m - k. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 6*b + 60. Let d be -1*(-35 + (-1 - 0)). What is the highest common factor of b and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3324419860?\nAnswer: 2, 5, 353, 470881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 + 6*n**3 + 8*n**3 - 30*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*o + 26*o - 35*o)*(-2*o**2 + 7*o**2 - 2*o**2).\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15287 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*a)*(2 - 5*a**2 + 1 - 5) to r + f*a**2 + i*a + k*a**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 387778 - -73924. Let c = 274234 - 145936. Let o = a + c. Round o to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4879 or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + b**3 + 2*b**4 + (b**2 - b + b)*(-b - b**2 + b + (b**2 - b**2 + b**2)*(2 - 1 - 3) + 260 + 23*b**2 - 260).\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/24023755 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 12*z + 15. Let l be s(11). Suppose -l*k = -1071 - 4853. Let h = -834 + k. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34.9 + 34.4. Which is the second smallest value? (a) 2\/15 (b) q (c) 1\/13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 + 6*z - 3. Let n = 2 + -12. Let m be ((-12)\/(-5))\/(-2)*n. Suppose 5*k + 13 = -m. Determine l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 10:45 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*d*h*n - 2313*d*n + 2*h*n - n wrt h.\nAnswer: -53*d*n + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {m: 1, d: 1, s: 2, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 88*z - 162. Let h be m(2). What is the greatest common factor of 350 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 - z**5 - z**5 + (-2 - 2 + 2)*(5*z**5 - 4 + 4)*(3 - 1 - 4).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -37.6 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.26221 kilometers in millimeters?\nAnswer: 96262210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 122\/279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 330\/45 + (-512)\/(-192)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(120\/75) - 16\/832*(-1315)\/5.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039556 to six dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 489713.781 - 489071. Let t = r - 639.7. Let c = t - 0.081. What is the fourth smallest value in c, -2, 1\/4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336894719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.38440879161 and 19.\nAnswer: 26.38440879161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748696, 2994668, 6737950, 11978542, 18716444, 26951656, 36684178?\nAnswer: 47914010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 4 = 18*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 311767.\nAnswer: 93530.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(105)\/((sqrt(5)*2 - sqrt(5)) + sqrt(5) - sqrt(5)))\/(-2*sqrt(300) - -5*sqrt(6)\/sqrt(2)))**2*-2.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, -26, -102, 1, 3, -3 in descending order.\nAnswer: 3, 1, 0, -3, -18, -26, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127025 (base 11) to base 5.\nAnswer: -22342202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402 + 3?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*q + 2*q - 11 = 0, -4*d + 2*q - 68 = 0. Let u = 6 + d. Suppose -o = j + 4*j + 30, -5*o - 66 = 4*j. Are o and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q**2. Suppose -c - 1071 + 314 = -4*j, -4*j = 4*c - 752. Let m(b) = 364*b - j*b - 182*b. What is x(m(k))?\nAnswer: -882*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x + 2500000 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2903 - -3105. Calculate the least common multiple of 5 and c.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-165))\/(140\/(-385))*8\/350?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3 (b) 1 (c) -0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 2. Let q be c(3). Let h = q - -8. Is -2\/7 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -30 and -428.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.6341 centimeters?\nAnswer: 26.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -287815, -575632, -863449?\n\"Answer: -287817*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 24 = 26*s. Let k(g) = -2 - 2 + 5. Let q(l) = -2*l - 2. Determine s*q(t) - 4*k(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1004 and 52\/9.\nAnswer: 9036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 43*i + 29. Let c be s(-13). Let a = c + -23. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0, -5, -1\/5, -12.17 in descending order.\nAnswer: 1\/5, 0, -1\/5, -5, -12.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x + 18*x - 3119057*x**2 - 2846970*x**2.\nAnswer: -5966027*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -515606513?\nAnswer: -515606512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47439\/10 - -4738. Let h = 171324749216141\/12090 - 14170781563. Let f = 22\/1209 + h. Find the common denominator of o and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -2*t - 4, -3*a = 3*t + 18. Let v = 0.94 + -1. Let b = 5.06 + v. Sort t, b, -4 in ascending order.\nAnswer: t, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 - d**2 + d**2 + (4*d - 14*d - 11*d)*(5 - 5 - 3*d**3) to z*d**2 + i*d**4 + a*d**3 + h + m*d and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*p + 130*p + 1060 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.3 times -0.2?\nAnswer: -21.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3791, -3704, -3617, -3530, -3443?\nAnswer: -3356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -38 - (0 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 275659.6 - 15354\nAnswer: 260305.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28684 and 426?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1447 + 2477. Let s = t + -688. What is the greatest common divisor of s and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.58 + -52.5155. Round t to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11707 = 19*g + 4*g. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*q**3 - q + 165*q**3 + q + 51*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t + 268 + 286 = 127 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p + 20. Let j = 32 - 29. Suppose -2*t = -2*k + 40, 2*k - 75 = -2*k + j*t. Solve 3*c = k, p*u + 0*c = -2*c + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153873 and 68388.\nAnswer: 615492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**0)\/n*n**(1\/4))\/((n**(-2\/19)\/n)\/(n\/(n\/(n*n**(-3\/7))))) assuming n is positive.\nAnswer: n**(1557\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131163.\nAnswer: 3, 43721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 5:59 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 28*d**2 + 26*d. Let j = 396 - 401. Let z(s) = -3*s**3 - 29*s**2 + 27*s. Let k(h) = j*n(h) + 4*z(h). Suppose k(b) = 0. Calculate b.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, -6, 5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2580617 and 1547.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*5\/2 + -3. Let s = c - -3. Let h(g) = g - 3. Calculate h(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2)*(((j*j\/j**(-3)*j)\/j)\/j)\/j*(j\/(j*j\/(j*j**(1\/4))))**(2\/27) assuming j is positive.\nAnswer: j**(109\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*q - 89*q + 380*q - 120*q.\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 7*t - 6*t, t + 5 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1082, 1091, 1102, 1109, 1106, 1087, 1046, 977?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 22. Let i be h(10). Let q(s) = 3*s**3 - 6*s + 9. Let c(z) = -z**3 + 2*z - 3. Calculate i*q(j) + 7*c(j).\nAnswer: -j**3 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111143, -110648, -110143, -109622, -109079, -108508, -107903?\n\"Answer: b**3 - b**2 + 491*b - 111634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72512.9954 + 72532. Let t = m + -19. Round t to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 358*j**2 + 1458*j + 1098.\nAnswer: -2*(j - 183)*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + o - 3. Calculate x(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(208))**2 - (-2*sqrt(1053))**2 - (sqrt(637) + ((sqrt(637) - (-2*sqrt(637) + sqrt(637) - sqrt(637)))*2)**2)).\nAnswer: -26311 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q - 1 - 2 = 0, 0 = 5*t - 2*q - 36. List the prime factors of 1\/1 - (t - 18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 18*m + 37. Let g be a(-16). Let x = 1.37 + -1.8. Let f = -0.23 - x. What is the second biggest value in 2, f, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z - 4446*z**2 - 9 + 8892*z**2 + 0 - 4433*z**2. Let o(w) = 6*w**2 + 4*w - 4. Calculate -9*o(x) + 4*u(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -1e?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**2 - 9*l + 17. Let w(q) = 6*q**2 - 4*q + 9. Let m(p) = 3*j(p) - 5*w(p). Let u(d) = -d + 7. Let x be u(3). What are the prime factors of m(x)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 701515304 divided by -12527059\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let y = -0.13073 + 0.23073. Which is the nearest to 0.1? (a) 19 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4\/9 (c) -92 (d) 12\/7 (e) -8 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113546 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaaaaf. Give prob of picking 2 a.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 - (49\/14)\/((-6)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*q - 108 = 157*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2601 + 1\/4*t**2 + 51*t = 0.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**0\/l*l**(-3\/5)*l**4*l\/l**(-2\/3)*l)\/((l**(1\/3))**(-13))**10 assuming l is positive.\nAnswer: l**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240244 - -134332?\nAnswer: 430131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 + b**4 - 3*b**3 + b**2 + 0*b**4 to i*b**4 + f*b**2 + g*b + c + v*b**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 492*j**5\/5 - 116*j - 197. Differentiate c(m) with respect to m.\nAnswer: 1968*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59408893 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1222321848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 9, -2, -103, 0, -2610 in increasing order.\nAnswer: -2610, -103, -2, -3\/5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w - 18. Solve -s - 3*s - 26 = 5*m, w*s + 3*m = -26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -660 - -404. Let x = w - -542. What are the prime factors of x?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d. Let p(w) = w**2 + 6*w. Let g(u) = -u**2 - 10*u - 18. Let t be g(-7). Calculate t*p(y) + 2*j(y).\nAnswer: 3*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -65. Let p be -1 + 3120\/b*(-1)\/2. Suppose -235 = -6*d + p. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1960)\/126)\/(-35)*2\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 9) to base 4\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 21*a**2 - 4*a - 3. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 10*r - 10. Determine d(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 1, k: 4}. Give prob of sequence ke.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**21*y)**(19\/5) assuming y is positive.\nAnswer: y**(418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(144)*4 - sqrt(9)) + 2 + -1*sqrt(76))**2.\nAnswer: -116*sqrt(19)\/15 + 16879\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614689 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 100424031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (19 - (1 + 13 + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24031 minus 3062057450?\nAnswer: -3062033419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 0.103, 5, -2\/11, 4 in ascending order.\nAnswer: -3, -2\/11, -0.1, 0.103, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (314 + -305)\/(-7*10\/490).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.1. Let j = 1 + 22. Let z = -26 + j. Which is the second biggest value? (a) z (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -13 + 7 + -3 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k. Let m = -1.1 - -5.1. Let h = m - 5. Which is the closest to -0.1? (a) k (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.5 (c) 1\/11 (d) -2 (e) -1\/5 (f) -16947\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*r + 5 + (-1 + 2 - 3)*(-84 - r + 84))*(17 - 1 - 3).\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 12:45 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25080 divided by -6270?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q + 3 = 0. Suppose 3*h = 6*b - 11*b + 25, 3*h = -4*b + 20. Let r(j) = -45*j - 3. Let a be r(0). Sort a, 4, b, q in ascending order.\nAnswer: a, q, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3 + 12. Let u(w) = -3*w. Calculate u(i(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {j: 12, e: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/54404 and -89\/561344?\nAnswer: 1090691392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 18*k - 76 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89008 or -0.05?\nAnswer: -89008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f**2 + 0*f + (-2 + 0 + 0)*(0*f**2 - f**2 + 0*f**2) + 2*f**2 - 3 + 3 + 2 - f**2 - 2)*(201*f + 1057*f + 8130*f).\nAnswer: 46940*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-33) + (-2)\/(-11). Suppose -11 + k = -3*n. Let y be 1*n - (-7 + 7). Sort -2, 0, y in increasing order.\nAnswer: -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227850819?\nAnswer: 3, 7, 10850039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 19*j**2 - 2326*j + 29586. Determine k(108).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 1\/3*k**3 + 3*k + 2*k**2 - 10. Factor s(n).\nAnswer: (n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*g + 17. Let w = g + -11. Let u(t) = -t**3 - 4*t**2 + 2*t - 1. Let o be u(w). Calculate the greatest common divisor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -119327*x - 358481. Determine m(-3).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -14\/67 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37135 and 84880.\nAnswer: 594160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*m - 20*m**2 + 26*m)*(-4*m + 2*m + 0*m) + 0*m**2 + m**3 + 0*m**2 + m**3 + 0*m**3 - 11*m + 10*m.\nAnswer: 42*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 720*v - 717*v + s - 21, -44 = 10*v - 3*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 510526766 to the power of 1\/2, to the nearest integer?\nAnswer: 22595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -928 = 167*m - 2264. What is the least common multiple of m and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 2*q - 1. Let r be f(3). Let s(v) = -v**3 + 12*v**2 - 9*v + 16. List the prime factors of s(r).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4189459.\nAnswer: 4189459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + -5 + ((sqrt(98) - (sqrt(98) + (sqrt(98) - sqrt(98)*2) + sqrt(98) + -4) - sqrt(98)) + sqrt(98) - -5*(1 + sqrt(98)))*-4)**2.\nAnswer: 11480*sqrt(2) + 40881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 2*x**2 + 24*x.\nAnswer: -2*x*(x - 4)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1825977 by 3.\nAnswer: 608659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4033226 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008146 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 44 in descending order.\nAnswer: 44, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 132454*u**3 + 684746 wrt u?\nAnswer: 397362*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b. Suppose -6 = -3*n + 3. Let t be x(n). What is the units digit of (4 + t)*1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 7a613565?\nAnswer: -7a613565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 + 3*f + 1. Let p(d) = -d**3 + d + 1. Suppose 2*y + 2 + 6 = -4*q, -3*q = -3*y - 3. Give q*h(u) + 2*p(u).\nAnswer: 2*u**3 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 15 = 9*h, -4*f + 16 - 6 = -2*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 12*t**3 - 15*t**2 + 6*t.\nAnswer: -3*t*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2952*p + 64944. What is j(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w - 61. Suppose -2*n - k - 4 = 0, -3*k + 2*k - 4 = -n. Let b be o(n). Let s be ((-3)\/3)\/(1\/b). What is s rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 3*u + 11. Suppose -h + 75 - 70 = 0. Determine n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1002 and 60?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 56*v**2 + 62*v - 3544. Give c(56).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3204 (base 5) to base 11\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:48 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*n + 44492543 + 11977473, 4*j + 4*n = 45176016. What is j rounded to the nearest one hundred thousand?\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(567) - -4*(-1*sqrt(567) - sqrt(567))) + sqrt(567) - 5*(sqrt(567) + 1))*-1.\nAnswer: -396*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 + 219*d + 29. Give z(55).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*o**3 + 0*o + 0 - 610\/3*o**2.\nAnswer: -5*o**2*(o + 122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -2 - -13 - -1) + (-5 - 6) - 138?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 a when four letters picked without replacement from aaaauaauuuuaaauaaa.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60291.7812 minutes to weeks.\nAnswer: 5.9813275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 31 + 33 - 125 + 32 + 28*j**2.\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 12228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60893 and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 472 = 46*j - 9*j - 548 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 2*d**2 + (d - 2*d + 2*d)*(0 + 0 + d) + 4*d**2 - 6*d**2 + 4*d**2)*(-3*d**2 + 2*d**2 + 6*d**2 + 2*d)*(-6 - 2 - d - 6).\nAnswer: -20*d**5 - 288*d**4 - 112*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 9 + -3 + (6 - -2717 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 560*l - 1074*l + 648*l**2 + 703*l + 7 wrt l?\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6) - (0 + 18\/(-4)). Is 422*(p + (-18)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 74 = -219. Let j = -27 + v. Suppose 0 = -j*s + 4*s + 920000. What is s rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -1, 39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 1580571.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2. Let p = -37 - -43. Suppose -2*s + 6 = 0, -2*q - 5*s + 19 + p = 0. Let x be k(q). What is the greatest common factor of 50 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)\/(w\/((w*w**(-9))\/w)))**(-50) assuming w is positive.\nAnswer: w**(4600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4172 + 4267 = -12*c - 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(500))**2.\nAnswer: 100*sqrt(5) + 2505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4242299 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:17 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 18 = -8*o, 0 = 2*o + n - 1 + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let y(m) = 7*m + 20. Let z(a) = -5*u(a) - y(a). Let r be z(-5). What is the nearest to 0.2 in r, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -12.666, -0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1. Let d(b) = b + 194. Calculate -d(u) - 5*r(u).\nAnswer: -u - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*b - 5*a, -a = 222*b - 226*b + 4. Put -111, -2, -8, b, -1 in decreasing order.\nAnswer: b, -1, -2, -8, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7011 - -12614. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 2*c + 4. Let g be 1\/((c\/(-18))\/1). Let l = 332 - 329. Solve -l*i + n - g = 4*n, 2*i - n = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*a + 2*a, -2 = -5*p + 2*a. Suppose -b + 0 = -p. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 72. Does 37 divide 1\/4 + ((-889)\/(-28) - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30.8 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -0.1 (c) -467 (d) -1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d1804 (base 15) to base 16.\nAnswer: -15b557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234343 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*m - 33*m - 27*m + 90*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1463 + 1464. Let b(z) = -16*z + 6. What is b(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4. Suppose 1 = -p - 1. Suppose -17*h + 2*h = 163 - 238. Put p, -1, h, x in increasing order.\nAnswer: p, -1, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 732 - 732. Suppose t = -6*w + 767 - 821. Let x(y) = 12*y**2 + 9*y - 9. Let j be 2\/8 + (-18)\/8. Let n(i) = -3*i**2 - 2*i + 2. Calculate j*x(z) + w*n(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 13*r + 98577. Let g be (-2)\/(-9) - (-7464)\/r. Let m = -144787\/7302 + g. Calculate the common denominator of 97\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 128 = -0. Let k = -30 + o. Let a be (0 + k)*-1 - 9. Are -11 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12497 + -12477. Calculate the smallest common multiple of v and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5\/3 + 5*a**4\/3 - a**3 - 5*a**2\/3 + 4*a\/3 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s + 3*j - 22 = 0, -9 = -s - 2*j. Let a = -9 + s. Solve 2*x + 0*x = a, 0 = -5*v + 4*x + 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 43 - 44 + 135 - 49*c**2.\nAnswer: -49*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/(-336) + 4\/14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 1 - 22*c - c**3 - 35*c + 13*c.\nAnswer: 2*c**3 - 44*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p + 39214 - 19617 - 19597 - 41*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 + 0.242.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.11 - -30.41. Let g = -14.18 - -14. Which is the biggest value? (a) x (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)\/(1\/(-5)). Suppose k*h - 281 = 49. Suppose -p - h = -4*p. Solve -2*l = 4*a + 8, 5*l - 4*a - 14 = p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -164, -225, -312, -437, -612, -849?\n\"Answer: -2*l**3 - l**2 - 44*l - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-7))\/((-2)\/14). Suppose x*p = -6 + 2. Does 5 divide 10\/(((-16)\/12)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = -34*v + 494. Sort v, 875, 3 in ascending order.\nAnswer: v, 3, 875","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2820035625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = n - 3 + 8, -n = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1336.4 + -1331.4. Which is the nearest to 0.4? (a) q (b) -0.2 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197 - 197. Suppose -p + 862 - 231 = s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 + 37*y**2 + 42*y - 12. Give k(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 94, 89, 84, 79, 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + 9 - (-1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.018611 kilograms to micrograms.\nAnswer: 7018611000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 3. Let g be h(7). Let a be (-210)\/(-55) - g\/(-22). Let z(l) = 3*l - 4. Determine z(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*b + 25, -b + 51 = -2*x + 37. Sort 10, b, 5.\nAnswer: b, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -172 - 18. Let o = r - 15. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 1. Let k(p) be the third derivative of -p**5\/12 + p**4\/6 - p**3\/3 - 1670*p**2. Calculate -4*a(o) + k(o).\nAnswer: -5*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -56b (base 14) in base 12?\nAnswer: -757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/84*-304 - 0. Let f = -282 + a. Factor 6\/7 + f*p**3 + 2\/7*p**2 - 10\/7*p.\nAnswer: 2*(p - 1)**2*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3 = 8*j - 5*j, 0 = 3*n - 2*j - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(1 + sqrt(637))*-6)**2*-1*-6*-2*-1.\nAnswer: -13780800 - 302400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -58, -3, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165888 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweeewwq. Give prob of picking 1 e and 1 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505.605um in centimeters?\nAnswer: 0.2505605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + y = 0, -2*y = -2*g + 3*y + 28. Suppose -2*t + 8 = 3*w + 1, -2*w = g*t - 18. Solve 0 = t*k - 7*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041567897 a multiple of 2677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/4 + q**3\/2 - 3*q**2 - 15*q. Factor s(w).\nAnswer: 3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t**2 + t + 7. Let f(h) = -6*h**2 + h + 8. What is 6*f(c) - 5*w(c)?\nAnswer: -c**2 + c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 131 = -4*t, -z - 26 = -3*t + 11. Suppose 0 = 5*s - 4*k + 360, -s = k + 4*k + 43. Let v = z - s. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxdz when four letters picked without replacement from {a: 1, u: 1, x: 1, d: 1, z: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 - 4*c**3 + 79*c**2\/6 - 9*c.\nAnswer: -c*(c - 2)*(c - 1)*(c + 27)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2274 - -6946. Calculate the remainder when s is divided by 187.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 7*v. Let w = v - -4. Solve -3*c - 2 = -w*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {x: 2, g: 3, l: 1, r: 5, a: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 + 0 + 121*i**2 + 3*i - 2 - 7*i**3 - 110*i**2 - 7*i**4 to the form l*i + r*i**2 + z*i**4 + w + b*i**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*z + 4, 9*j - 4*j - 5 = 2*z. Let h(d) = 4*d + 6*d + 1 - 7*d - j. Let r(y) = -106*y. Determine h(r(x)).\nAnswer: -318*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2156230961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85, 230, 467, 796, 1217?\n\"Answer: 46*d**2 + 7*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 511\/5 - 102. What is the third biggest value in 4, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 + -425946950247\nAnswer: -425946950071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/2330 or -2?\nAnswer: 9\/2330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20141 (base 6) to base 7.\nAnswer: 10510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + 27. Let d(a) = -31*a - 134. Let s(n) = 2*d(n) + 11*t(n). List the prime factors of s(15).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:31 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1091 = 6*h + 269. Calculate the remainder when h is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10935332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216020272?\nAnswer: 2, 13, 19, 47, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.5 + 30. Put -1, -23, 3, h in decreasing order.\nAnswer: 3, h, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/7 - 204*u**2\/7 - 4992*u\/7 + 10816\/7 = 0. Calculate u.\nAnswer: -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 + -0.4. Suppose -4*r - 10 = 6, r - 20 = -3*q. Let t be q\/4*(-3)\/(-36). Which is the smallest value? (a) l (b) t (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.60531295 + -21.705314. Let s = -2.1 - t. What is s rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/20*20\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211808055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-425))\/((-6447)\/(-3070))?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 < 942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1442571*k**2 - 1480839*k.\nAnswer: 2885142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 40665*b\/2 + 2406197.\nAnswer: -(b - 118)*(b + 40783)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a factor of 421323936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 + -173. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 4*j + 18. Calculate the lowest common multiple of 1\/((1 - 1) + 1) and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5*d + 4*d + 1)*((2*d - 2*d + 2*d)*(-d - 5*d + 4*d) + 3*d - 3*d + 2*d**2 - 293*d**2 + 199944 - 199944) as q*d**2 + j + i*d**3 + f*d and give q.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d + 181499*d**2 + 61*d - 30*d.\nAnswer: 181499*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8411, -3323, 1765, 6853, 11941, 17029?\n\"Answer: 5088*u - 13499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 5, 1.39, 2, -4, -3, 56 in descending order.\nAnswer: 56, 5, 2, 1.39, 3\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152003139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42251490 from 206.7538.\nAnswer: 42251696.7538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.947 + 0.053. Let k = j + -23.2. Which is greater: -3\/13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 271224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 - 5*o**2 - 7*o - 5. Let c(a) = 4*a**3 + 4*a**2 + 6*a + 4. Determine 5*c(y) + 4*x(y).\nAnswer: 4*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 2, 10, -1.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ddc2 (base 14) to base 12.\nAnswer: 10b732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 4. Let f(y) be the first derivative of -y**2\/2 - y - 9. What is 2*f(w) - i(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 2e5de30?\nAnswer: -2e5de2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mkiivxkkkikkixik.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 2*v + 1. Let b(i) = -i**3 + i + 3. Let a be b(3). Let y be (-5)\/(-7) - 6\/a. Calculate o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77 + -209682?\nAnswer: -209606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -10.042.\nAnswer: 10.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 - (-5)\/(5\/(-2)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {b: 6, v: 9, z: 1, t: 1, d: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621903*i - 310999*i - 310907*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116753285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 10*a - 75. Let x be (-4)\/(a - -1) - (-4)\/(-2). Let f = 2 + -1.7. Put -4\/7, f, x in increasing order.\nAnswer: x, -4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 4*j = -117. Let n be (3 + -8)\/(j\/6 + -3). Suppose -6*d + 6 = -3*d. Solve n*a = d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + j**2 - 1. Let q be g(2). Let a = q + 16. Solve a = 2*z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -49\/3. Which is the smallest value? (a) -3 (b) 5\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 2:38 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 473669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63124\/4445 - 1\/889. Let x = 477\/35 - t. Let u = 2 + -3. Which is the closest to u? (a) x (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 1:40 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4408*o + 174*o**3 - 4408*o.\nAnswer: 174*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28108951?\nAnswer: 13, 97, 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 3*b**2 - 3*b + 1. Let o be u(3). Let h = o + 75. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:55 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173754?\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274162.\nAnswer: 2, 7, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2493758 is divided by 498747?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 - -1.\nAnswer: 1.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 3*g**4\/2 + 7*g - 1. Let o = 10 - 8. Let k(c) = -2*c**3 + 4 + 3 - o + 6*c**3. What is -7*k(q) + 5*s(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -23340801237\nAnswer: 23340801242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -73\nAnswer: 88\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16816090.\nAnswer: 2, 5, 193, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gawrnrag. Give prob of sequence ng.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(sqrt(30)\/sqrt(6)*3 + sqrt(5)))**2 + 3.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1740 = 11*y - 16*y. Suppose -5*m + y = 4*r, 2*m + 2*m - 4*r - 264 = 0. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1074103.38 and -4.238.\nAnswer: 1074099.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27855 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 34. Let l be ((-2)\/c)\/(6\/12). Let o = 477 + -475. Solve -o*s = l*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/9*3\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43320 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/12 + (-958483)\/15564\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 1) + (-1 + 0 - (-43 - -40)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 5. Let j = 180 - 179. Calculate the highest common factor of i and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 + 2*t. Let y(v) = -3*v**3 + v**2 + v. Let z(c) = 4*a(c) - 5*y(c). Let j be z(-6). Suppose 5 = 2*b + 3*f - j, -5 = f. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - 7*l - 37. Suppose -6 = -b + 2*m + 2, -2*b + 16 = 3*m. Let j be h(b). What is the greatest common factor of j and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 38\/4*2\/7. What is the smallest value in 2, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*k + 73 - 27, -4*v - 35 = -5*k. Let c(q) = -q**2 - 12*q - 17. Let j be c(v). Solve j*a - 6 = -15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4, 3.1, 15, -2, -4, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, 58, 46, 30, 10, -14, -42?\n\"Answer: -2*r**2 - 2*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 - ((-5187)\/(-76))\/(-13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**37*o**(-25)*o**4*o*o assuming o is positive.\nAnswer: o**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-18))\/5)\/((-7)\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 651 = 46*q - 177. Let s = 329 - 185. What is the highest common factor of s and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4465, -4, -2 in ascending order.\nAnswer: -4, -2, 4465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbddddxdxxd. Give prob of sequence dd.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-27)*(-624)\/416*-45\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000327324065 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 403. Does 5 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5121 + 0.618. Round h to three decimal places.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671364 is divided by 335554?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 346848853 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -321.\nAnswer: 5\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 19 (c) 2\/19 (d) -5 (e) 2 (f) 17 (g) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 0.048.\nAnswer: -0.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5812764 is divided by 645855?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(3\/7)*(u*u\/(u\/((u**(-1\/2)*u)\/u))*u)**(-33))\/((u\/u**(3\/8))\/(u*u\/u**(-1\/4))*(u**1*u)**(-17\/7)) assuming u is positive.\nAnswer: u**(-2409\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 0 + 0 + (-2 + 2 + 2*y)*(1 - 2*y**3 - 1) - 2*y**4 - y**4 + 0*y**4 + (-2*y + 4*y - 3*y)*(-2*y**3 + 5*y**3 - 2*y**3) - 2*y**2 + 2*y**2 - y**4.\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -56 - (-10 + 6) - -11 - -8 - -4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -144, 1, -0.3, -2\/7, -0.35, 31?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 13.8. Let f = -58.8 + n. Let q = f - -58. What is the nearest to 22 in 3\/4, -2, q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18125 + 22139. What is the ten thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227 - 1473 = -60*x. Let b = -23 + 32. Let p = b - -9. What is the greatest common divisor of x and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 5*s - 3*s. Let f = -11 - s. 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: Two letters picked without replacement from {v: 8, k: 3, j: 2, i: 4}. What is prob of picking 1 i and 1 k?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-5 + (5 - 4) + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -861*h - 154. Let q(s) = -67*s - 12. Let j(p) = -6*b(p) + 77*q(p). Let t(c) = 2*c + 47. What is t(j(u))?\nAnswer: 14*u + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.815*-34.\nAnswer: -333.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:10 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8552607, 8552606, 8552605?\n\"Answer: -q + 8552608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:40 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 7 - 4)*(7*h**2 + 30*h**2 - 4*h**2) in the form u*h**2 + j + m*h and give u.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3917252 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/20*1*-5. Suppose 0 = n + 4, i = 4*r - 5*n - 22. Let k(h) = 3*h + r*h + h - 2*h. Let c(w) = 2*w**2. Calculate k(c(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1243 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617.58 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4005 + -3620. Let a be (-5)\/((-50)\/12)*x\/(-50). Suppose -q + 191 = 5*i, -q + 4*q - a = -5*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -97. Solve 6*g = p*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/3*6*8\/(-24). Let x(i) = -7*i - 1. Let p be x(t). Find the second derivative of 21*l**3 - 17*l - l**3 + 24*l - p*l wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 4. Let f be (56\/(-7))\/(2\/3). Let p be f\/15*(-1)\/(-4). Which is the closest to 1? (a) p (b) s (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/2 of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvsvvzpvsvtp. What is prob of picking 2 p and 2 v?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -15.117475771819?\nAnswer: -14.917475771819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57940919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47069614*l**2 - 6675856*l.\nAnswer: -94139228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*v - 6, 2 + 1 = f - 3*v. Suppose -i + 3*i + 16 = f*c, 5*i = -10. Suppose r = 2*l - 12, 0*l + 56 = 5*l + c*r. Solve g + l = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228*n - 1254 + 5707 = -5113 + 2198 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70907988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 165\/88 + (-2)\/(-16). Suppose 5*n - 180 = r*n. Calculate the highest common factor of n and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7374396 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011010000110 (base 2) to base 10.\nAnswer: -18054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-1470*n**2 - 1 + 844*n**2 + 730*n**2 + 8*n).\nAnswer: 208*n**2 + 16*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -21986*g**2 - 22*g + 10. Let h(p) = -2*p. Determine h(v(c)).\nAnswer: 43972*c**2 + 44*c - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-246)\/9 - 3\/27*(-2388)\/199.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141 = -23*g - 286*g - 1331 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22373, 22477, 22581?\nAnswer: 22685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23293\/4090 - 2\/409. What is the common denominator of d and ((-3068)\/104)\/(5\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Which is the closest to s? (a) 3 (b) 2\/13 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -2723.\nAnswer: -2723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*i + 5 = 0, 2*j - 40 = -j + 2*i. Suppose -j*q = -7*q + 132. Let u = q + 48. What is the nearest to -1 in -3\/5, u, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 - 386 - 231 + 893 - 3*i**3.\nAnswer: -3*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*c + 11*c - 39 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(10\/3)*w*w\/(w\/(w**(-9)\/w)*w)*w**(1\/28)\/(((w\/(w**(-30)*w)*w*w)\/w*w)\/w))**25 assuming w is positive.\nAnswer: w**(-76925\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28918 and 38.\nAnswer: 28918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9 times -20.801?\nAnswer: -351.5369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7966 = -28*x + 8190 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 812023 a multiple of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/30*4*20\/32. Let z be (2\/(-4))\/(2\/(-188)). Let p be 3\/12 + z\/f. What is the highest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-10) + 5543736\/460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (38 - 54) + (0 - -2) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342.51635 + -0.05365. Let z = -338 - x. Round z to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-20)\/(-300))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 19 = -5*v, 2*q + 3 = 3*v + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -7. Let o = -15 + 59\/4. Which is the second biggest value? (a) o (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = -105. Suppose -4*m = -2*m - 14. Suppose i - m = -4. What is the highest common factor of d and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l - l + 5 - 2*l - 5 + (0 - l + 0)*(2 + 2 - 2) + l - 2 + 2 - 4*l + 4*l - 2*l - 5*l + 2*l + l)*(6*l + 4*l - 4*l).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwxzzqttxqtqtqt. Give prob of sequence xz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2324)\/(-196) - (-6)\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggh when three letters picked without replacement from ubhggtr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5306*g - 11785*g - 69500*g.\nAnswer: -86591*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a - 5. Let r be d(-2). Let g be (r\/(-10))\/(1\/(-2)). Suppose -g*b = -b - 4. Solve -b*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c. Let i be m(2). Suppose -g = -i*g + 1270. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(33\/(-44)). Let s be (6 - o)*3\/6. Let a(u) = -u - 12. Let z be a(-10). Put z, s, -1 in ascending order.\nAnswer: z, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 2898*r**4 - 5784*r**3 - 6*r**2 + 5787*r - 2892 = 0. Calculate r.\nAnswer: -1, 1, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 0 + (3 - 0). Let g = l + 4. Suppose g*o = 4*b - 8, -5*b = -4*o + 2*o - 3. Put -2, 3, b in ascending order.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -29*k - 1079 + 937, 2*k + 10*y + 40 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 15 + 24 = 5*v, 0 = v + 2*l - 2. Sort 5, -1\/75, v, 1.\nAnswer: -1\/75, 1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/7)*q*q**(-1\/5)*q**(2\/3)*q*q*q**(2\/15)*q assuming q is positive.\nAnswer: q**(206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0, -1\/6, -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/24 + 1 - 2\/8. Let f be 2 - -6*8\/(-30). Sort s, f, -3\/7.\nAnswer: -3\/7, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5255, -3 in decreasing order.\nAnswer: 5255, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsessnlqssnn. Give prob of picking 1 s and 1 l.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7*t + 54 = 2*t, -15 = 5*t. Suppose -4*b + 3*i - 96 = 7*i, 0 = -2*b - 5*i - c. Put b, 2, 4 in decreasing order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10)*-6)\/((-1572)\/3668).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 7*n**2 - 9*n - 5. What is v(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-30))\/(3\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-187)\/34 + 1*4. What is the third smallest value in 2, 19, a?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {k: 2, u: 2, b: 3, f: 10, i: 1, q: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*s - b - b, -4*s - 4*b = -12. Let q be 1 - 3 - 64\/(-28). Let u be (-14)\/(-24) + (-2)\/(-16)*-2. What is the second biggest value in q, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -8, 0 = 57*w - 52*w + y + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylyf when four letters picked without replacement from ffylfflffplylfal?\nAnswer: 1\/624","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135692\/3 or 45230?\nAnswer: 135692\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i**2 - 27*i + 157. Calculate t(5).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1133303033 (base 5) to base 8.\nAnswer: -12032020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1138, 2027, 2898, 3745, 4562, 5343, 6082?\n\"Answer: -o**3 - 3*o**2 + 905*o + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -17 + 2. Let u(b) = 4*b - 10. Let m be u(5). Let a(s) = -s**2 + 10*s + 9. Let t be a(m). Solve -3*i - t = -g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22989259 bigger than -22989260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 - 145. Suppose -5*t = -2*t - 12. Suppose 5*s = t*j - 1 - 1, s = 2. Calculate the greatest common factor of g and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -18055\/2574?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*j = -329*j - 15. Let o = 30 + 100. Differentiate 10 - 66*p**3 - 68*p**j + o*p**3 with respect to p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583749423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, 2\/9, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2596791?\nAnswer: 3, 865597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*i - 10 = -91*i. Suppose -i*b + x + 11108 = -5467, b = -3*x + 8284. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365, 1451, 3259, 5795, 9065?\nAnswer: 13075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f**3 - 2*f**2 - 3*f - 5. What is the tens digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 19*o**2 + 11*o - 25. Determine c(-18).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2808 and 364?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wksw when four letters picked without replacement from {s: 8, d: 2, t: 1, w: 6, i: 1, k: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j + 61. What is r(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.7140773 + 49.712. Round j to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 5. Let f be v(7). Find the second derivative of -f*t + 0*t - t + 4*t**3 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -40\/7 + 6*a**2 + 16\/7*a**3 - 16\/7*a - 2\/7*a**4 = 0.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 z when three letters picked without replacement from {l: 2, c: 1, a: 4, z: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/((-8)\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.048 + 9.048. What is the fourth smallest value in 1\/49, -0.1, 1\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1214, 2421, 3628, 4835, 6042?\n\"Answer: 1207*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185 + 205. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/50)\/((-1526)\/(-6540))*-5?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.095194135 and 0.3.\nAnswer: 0.0285582405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -120?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -2 (b) -4.5 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10055348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 19 - 15) + 2 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*k - 30, 0 = 5*k - 3*k - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6436.\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4552059579.777873 + -4552065069. Let i = 5341.2222 + b. Let d = 148 + i. Round d to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(24\/(-162)*3). Let m be (-1)\/(-4) - (-134)\/8. Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.3, 5.1, -0.4, 2\/35, 28, 5?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1628977857*y - 1628977857*y - y**4 - 149*y**2 + 75*y**5 + (-2*y**4 + 2*y**4 + 2*y**4)*(-2*y + 7*y - 3*y) + 3*y**5 - 2*y**5 - 2*y**5.\nAnswer: 78*y**5 - y**4 - 149*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-12)\/(-3)*(-6)\/(-8). Suppose z*d = -148 + 808. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 12105450.\nAnswer: 12105450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5701*1.\nAnswer: 5701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, p: 4, l: 1}. What is prob of picking 1 p and 2 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6247*z - 437654. Determine j(70).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -111*i**2 + 7*i + 7. Let c(o) = 74*o**2 - 5*o - 5. Calculate -7*c(x) - 5*p(x).\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0157 and 1.101594.\nAnswer: 1.085894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1834350873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467343882?\nAnswer: 2, 3, 25963549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 2*v + 2. Calculate q(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1121250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {p: 3, w: 7, z: 2}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-42) + (-32)\/(-14). Suppose 0 = f + 5*v - 24, 2*f + 0*f - l*v = 0. Solve f*h = 2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -10) + -21 - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 5*v = 13*v - 4200. What is the greatest common factor of 1100 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -170 + 4?\nAnswer: -16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 426, 853, 1280, 1707?\n\"Answer: 427*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191922337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2474*k**2 + 3274*k?\nAnswer: 4948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -38. Suppose 3*m - 4*p - 7 = 22, 0 = -p - 5. Solve m*u = 4*u + c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60, -1008, -2830, -5526, -9096, -13540, -18858?\n\"Answer: -437*c**2 + 363*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 19*s**2 - 48*s - 16. Let c be q(-16). Let z = -790 + 11794\/15. Calculate the common denominator of z and c\/30 - -4*18\/(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 10:47 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(3 - 8) + 2. What is the units digit of 1*(d + 4)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245 (base 8) in base 3?\nAnswer: 10000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2739880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*v = -137*v - 20, -2*r = -2*v - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*43\/(-1720)*76?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30626 divided by 4.\nAnswer: 15313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6378 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let t(p) = 45267*p. Calculate o(t(n)).\nAnswer: 4098202578*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-3 - (-12)\/63*16. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 19*w + 55. What is z(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1263, -2523, -3783, -5043?\n\"Answer: -1260*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2*z**5\/65 + z**4\/13 - 2*z**3\/39 - 2*z**2\/13 - 12. Solve q(w) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5916 and 4146159?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50537110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-35)\/(-3))\/(7\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*j - 2796 - 18519 = 2610. Calculate the remainder when j is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (-6 - -782)\/8 - 7?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**2 - 135*d + 234. Determine x(16).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + 76. Suppose 610 - 1767 = -89*r. What is the greatest common divisor of c and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25707\/2 - -12855. What is the nearest to r in -0.3, 4\/113, 5\/3, -2\/13?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(550) - sqrt(550) - sqrt(22))\/sqrt(2).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*u - 23367 = -6467 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngl when three letters picked without replacement from {z: 5, l: 1, n: 6, g: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7744? (a) -64 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/132*-2*(-924)\/(-48).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(24) + sqrt(144)\/sqrt(6)) - sqrt(24))\/(sqrt(1152)*1) - -2*(-1*(sqrt(108) + (0 + sqrt(108) - sqrt(108)))**2 + 3).\nAnswer: -210 + 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 2, s: 4}. What is prob of picking 1 s and 1 n?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c - 36*c + 98 = -21*c. Solve -2*q - 2 = -c*m, -5*m - 637*q - 2 = -635*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 3. Suppose 3 = -5*n + 3*i, 3*n + 48 = -5*i + 19. Suppose -84 = -4*q - 12. What is the smallest common multiple of q and l(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -9*(-11)\/(-11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2603922*o - 4*o**2 - 3*o**2 + o**2 - 9*o**2 + 2603922*o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.1 or 0?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -603, -2361, -5287, -9381, -14643, -21073?\n\"Answer: -584*v**2 - 6*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -8\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -i - 9, -6*t = i + 6 - 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**4\/24 + y**3\/6 + 42*y**2. Let u(w) = -7*w**2 + 4*w + 4. Let o(l) = -4*c(l) + u(l). Let s(j) = 2*j**2. Give o(s(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -1 + -5 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137781 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/4997 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 137?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (-3705)\/(-195).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/28 - (-90)\/42. Factor 4 - 11643*j - 2*j**b + 11653*j + 4*j**2 + 8.\nAnswer: 2*(j + 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)*24\/(-18). Let z be ((-8)\/5)\/(v\/(-10)). Let k(c) = c. Let n be k(z). Solve -16 = 4*f + 2*r, 2*r - n*r = -4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 22*s - 25*s. Let l = 27 + s. Calculate the remainder when l is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 6. Let w be (-1 + -159)*(-207)\/(-46). Let n be (-8)\/(-28) + w\/21. Let b be n\/(-5) - ((-36)\/(-30))\/(-6). Calculate g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-2 - (3 - 5)). Suppose k = -v*k + 12. What is the second derivative of k*r**5 + r**5 + 6*r**5 + 269*r - 285*r wrt r?\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 38. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -2, -18\/7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m - 6. Let s(y) = 9*y**3 - 3*y**2. Is s(m) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -59*p + 187. What is y(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -6. Let x be 0 - (-9)\/(-6)*12\/(-45). Which is the third biggest value? (a) k (b) x (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 3}. What is prob of sequence uzzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 58838666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m + 1. Suppose -21*x - 3 = -18*x. Let n(d) = -4*d**2 + 5*d + 3. Suppose -4*k - 4*c = -12, 0 = -2*k + 3*c + 6. What is k*p(j) + x*n(j)?\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0. Let g = 0.3 + -2.3. Let k = g + 3. Which is the nearest to k? (a) -2 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982455.\nAnswer: 5, 17, 83, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3 + 623510*r**2 + 9974880*r = 0?\nAnswer: -124686, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6 - 0. Let l = x - 0. Solve 0 = -3*n - l*o + 24, -3 - 7 = n - 5*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 0.2, -5, 0.31, 0.07?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2 and -81\/5992.\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54 from -101674.6.\nAnswer: -101728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64591896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66, -248, -560, -1008, -1598?\n\"Answer: -w**3 - 59*w**2 + 2*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y - 4 + 2 - 3 - y**2 + 2. Let z be d(7). Let s(x) = -x**3 - 5*x**2 - 4*x. Determine s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12327 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6005113 less than 537408?\nAnswer: 6542521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468830 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12368 + 24755 - 12387 - 8*n - 20*n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 48. Let i = -43 - t. Let v(p) = p + 143. Is v(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = -t + 8, -3*m + t = -36. Let j = m + -1. Suppose j = -3*f - 2*f, -40 = -3*r + 5*f. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00119116 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/(9\/(-12)*(-2)\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*s**4 - 21*s**4 + 24*s**4)*(-4 + 4 - 4*s) + 10 + 5*s**5 - 10 + 2*s**5 + s**5 - s**5.\nAnswer: -137*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 215\/51, 2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*c + 1. Let w = -3 - c. Is (w + -2 + 79)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.6 - -2.6. Let g = a + 25. Let b = 542 - 540. Does g = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.12, -4, -2273\/50?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.21116 years in months?\nAnswer: 518.53392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190889261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16 = -2*n + 4*n, 5*n - 2 = 2*p. Let d(v) = -7*v**n + 4*v**2 + 12 - 6*v - 2 + v**3. Let y be d(4). Solve 0 = 3*c - 4*c + y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, 0.03, 1\/9, 5 in increasing order.\nAnswer: -498, 0.03, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7705 + 8001. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -111*x**2\/2 + 4*x + 1. Let t be u(-5). Suppose -4*g = 5*r - t, -6*g = -r - 2*g + 131. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/(-20) + 4\/10. Let z(f) = f - b*f + 3*f - 5. Determine z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -286, -339, -392, -445, -498?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -110011011001000011?\nAnswer: -110011011000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 621 and 828.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1275, -2519, -3763, -5007, -6251, -7495?\n\"Answer: -1244*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, d: 4, f: 2}. Give prob of picking 1 d and 2 f.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/9 and 119\/28776.\nAnswer: 86328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8114 - -8113.99993892. What is p rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10090587?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + 24\/(-9). Let y be (-4)\/54*42\/r. What is z in -4\/9 - y*z**2 + 2*z = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*g - 111*g = -3*z + 52, -5*z = -4*g - 68. Solve -272*h - z = -280*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428905, -429001, -429133, -429301, -429505?\nAnswer: -429745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -306*1.5\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3350251 (base 7) to base 10\nAnswer: -415507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120752\/69 + -1750. Let a(q) = q**2 + 3*q - 2. Let m be a(2). Suppose -x - 4*t = m, -4*x - t - 1 = 1. Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*32\/(-12). Let l(b) be the first derivative of b**4\/4 - b**3\/3 + b**2\/2 + 5*b - 2. Let d be l(0). Is a equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507131 - 2810*y + 507131.\nAnswer: -2810*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*t = -0*t + 238, 3*t = 4*v - 243. Suppose -4*g = -v + 16. What is the second derivative of 3*a**3 - 11 - 2*a**3 + a + g wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 59 - (73 + 74 + -134)) + 6.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 4. Which is greater: -9\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3804 divided by -3\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:03 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) 6951 (c) -2 (d) 9 (e) -1\/6 (f) -5 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-2176) + -2 + 4138\/2144)*2?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.54003 days in seconds?\nAnswer: 8168258.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423517939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2888 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 1 + 60866*q - 60866*q - 6*q**3 as a + z*q**2 + h*q**3 + u*q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 + 4*b**4 - 26*b**3 + 20*b**2 = 0. What is b?\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*m - 102 + 46*m + 39*m to the form i + z*m and give i.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2826 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -8\/11, 4\/7, 2\/3, 0.1, -0.0071?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5 + 2*r**4 - 2464*r**3 - 1074*r**2 - 2*r + 1.\nAnswer: 60*r**2 + 48*r - 14784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.314 + 1495213.5.\nAnswer: 1495213.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**5 - 85*u**4 - 95*u**3 + 2165*u**2 - 4400*u + 2420 = 0.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47.754 - -0.154. Let l = -51.6 - d. Which is the nearest to 0? (a) l (b) -7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 708921, 708924, 708927, 708930, 708933, 708936?\n\"Answer: 3*q + 708918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 4\/3*y**3 - 1\/2*y**2 + 14 + 14*y + 1\/2*y**4. What is the second derivative of z(a) wrt a?\nAnswer: 12*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -13*m. Suppose m = -3*l + 566 + 826. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -9. Is ((-12)\/21)\/(-2) + (-3687)\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:01 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 3*p**2 - 10*p + 6. Let a be s(5). Let w(n) = 108*n**2 - 2*n + 31. Is w(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -2.01. Let v = -15.006568 + 13.0066. Let w = v - y. What is w rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.066 - 61. What is l rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 2}. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 11:32 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 5, -0.239, 6\/5 in increasing order.\nAnswer: -0.239, -0.11, 6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from anaaacaxxxaxaacaac.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**4 - 12*b**4 + 7 - 2*b**2 + 4 + 5*b**4 + b**3 as t*b**2 + z*b + v + p*b**4 + q*b**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**3 - 3*o**2 - 29*o - 151. What is the tens digit of v(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**2 - 1266*o + 1158. What is v(-116)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13077 + 3?\nAnswer: -13074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-2)*j)\/j*j)**(2\/31)*j**(-5\/3)*j*j**(-1\/5)*j)\/((j**(-1))**20\/(j*(j*j*j*j**(-7))\/j*j**(1\/8))) assuming j is positive.\nAnswer: j**(1951\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 3*c**2 + 2*c - 3. Let u(j) = -j + 1. Let k be u(-1). What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2430) - (sqrt(2430) - -1*sqrt(2430)) - sqrt(2430)) + sqrt(2430) - sqrt(2430))\/sqrt(10))**2 + ((sqrt(6) - 1*sqrt(6))*-6)\/sqrt(2).\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1628 and 65\/20 - 4*(-4)\/(-16)?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1665\/2220)\/(2 - (-13)\/(-4)). Suppose -4*x - 6 = 2. What is the closest to x in 1\/9, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66275, 66230, 66173, 66098, 65999?\nAnswer: 65870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7 - 2. Let q be (4 - 5) + b + 3. Suppose -38 - 187 = -q*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -16 - 29) + 8 + (0 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1258 - -315. Let v = d - -942.8. Which is smaller: v or 89\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1\/5, -1\/2, -3 in decreasing order.\nAnswer: 11, 1\/5, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1896866*g**3*v*z**2 + 57658*g**3*z + 2*g**2*v*z - g**2*z**2 wrt z?\nAnswer: -3793732*g**3*v - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 452*v - 447*v. Factor -1\/7*a**v - 2\/7*a + 3\/7.\nAnswer: -(a - 1)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9895343 or 9895342?\nAnswer: 9895342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -3\/5*l**5 + 3*l**3 + 6 + 6*l - 15\/2*l**2 + 3\/4*l**4. Find n, given that f(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/16)\/((-6)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*1404\/819?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h - 20*h + 2*h - 3 + 7*h. Calculate the remainder when 15 is divided by o(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/9)\/t)\/t)**(17\/3)\/(t\/t**4*t*t**2))\/((t**2\/t)\/(t**7\/t)*(t**(-2\/3))**(-3)) assuming t is positive.\nAnswer: t**(-191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.84592 to 2 dps.\nAnswer: -83.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3975 divide 100940780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59.0372 decades?\nAnswer: 590.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Suppose -2*j - 5*b = r*j - 899995, 4*j - 719999 = -b. Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 86 + 47\/9 + (-2)\/9. Calculate the highest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**2 + 15*l**2 + 33*l**2)*(-3*l + 4*l + l - 3) to the form z + t*l**2 + x*l**3 + n*l and give t.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-12)\/(-9))\/((-28)\/42)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + ((-2*-1*sqrt(567) - sqrt(567)) + 2)*-1 + -2 + 3) + 3)**2.\nAnswer: 720*sqrt(7) + 14239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0654163 centimeters to micrometers.\nAnswer: 654.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 + 3 - 3)*(4 + 0 + 1)*(5*a**2 + 3*a**2 - 7*a**2) to i*a + l*a**2 + r*a**3 + x + v*a**4 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2) + 3*59. Let u be 4\/5 - (-264)\/120. Suppose u*h + b = 5*n, -4*h = -0*n - n + 39. Calculate the greatest common factor of n and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, j: 1, b: 1, z: 3, w: 1, y: 2}. What is prob of sequence cyc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**(-41)*(g\/(g*((g**(4\/5)\/g)\/g)\/g)*g)\/(g\/g**(-1)))\/((g**(-1)\/g**(1\/2))\/(g**0\/g)**(-17)) assuming g is positive.\nAnswer: g**(181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 3*y = 2*h + 11, -5*y + 17 = -2*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 255919 divided by 451\nAnswer: 255919\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + (1 + sqrt(1088))**2*6 - (-3 + (sqrt(1088)*-1)**2).\nAnswer: 104*sqrt(17) + 5449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.938637 hours in milliseconds?\nAnswer: 10579093.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*p + 3*h, 0 = 2*p - h - h - 46. Let a(b) = 24*b**2 - b - 4. Let l be a(2). Let s be (-3)\/(9\/2) + 1950\/l. Do s and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuuuuupl. What is prob of sequence ulpu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81197 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/643 and -151\/4494.\nAnswer: 2889642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2)*12\/45. What is the nearest to j in 3\/5, 1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*l - 280*l + 87*l + 107*l = 4560. Let k = -2.8 - -3. What is the nearest to l in -3\/7, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 6. Let b be s(-3). Find the second derivative of b*m - 4 + 4 - 4*m**2 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 9*l + 19 + 5*l - 16*l**2 + l**3 - 2*l. Let r be w(15). Suppose 0 = 8*g + r - 28. Solve 2*a - 31 = 5*q, g*a - 4*q - 26 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6752.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/9))**(-3\/22))**22 assuming q is positive.\nAnswer: q**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5915*b*m*u**2 - 16*b*m - 98*m*u wrt u?\nAnswer: -11830*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11007 * -8938.\nAnswer: 983.80566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 5*t**2 + t**2)*(-1 + 20*t + 90*t - 37*t).\nAnswer: -73*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7 - 4*p**2 - 5*p + 15 - p**3 + 4*p. Let c(a) = a**3 + 4*a**2 + a - 9. Let k(x) = 3*c(x) + 4*y(x). Determine k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 7. Let x be s(-5). Let h be (-7)\/63 - 181\/(-9). Let b(r) = h*r + 1 + 0 - 21*r. Determine b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522526632 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 152 + -52000?\nAnswer: -51515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -276.2 + 276. Is q equal to -12.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 p when four letters picked without replacement from {e: 3, p: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1162729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.193781 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j + 20 = 0, -3*m = -5*j - 86. Let r = -26 + m. Let d be (r - 90\/(-25))*-10. Sort d, -3, -5, 2 in ascending order.\nAnswer: -5, -3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7598 by -3799.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12793001 divided by 1?\nAnswer: -12793001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m - 14. Let u be t(9). Let w = u - 75. Suppose 2 = w*o - 28. Let b(p) = -p**3 + 3*p**2 - p - 4. What is b(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5427 = -15*h + 5345, 0 = 2*h + 3*z for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*3 + sqrt(78))*4 + sqrt(78) + sqrt(78)*1*-6 + sqrt(78))\/(1*(sqrt(54) + -3*sqrt(864) + sqrt(54))\/sqrt(9))*5.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3804.53005 + 2920.2761. Let q = 1003.254048 + z. Let j = q + -119. What is j rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3014, 1\/5 in increasing order.\nAnswer: 1\/5, 0.3, 3014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmcc when four letters picked without replacement from wglcmggclwjglccww?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 829*s - 3945. Let f be k(7). Is -1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6 + 429\/117. Solve 0 = 2*r - r + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13)**(-24\/5) assuming c is positive.\nAnswer: c**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + 4*i + 0*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.06 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.086 (b) 3 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276 + 155. What is the smallest value in 1\/4, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 + -1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*c - 22*c + 7*c = 1632. Let v(i) = i**2 + 6*i + 7. Let l(g) = -2*g**2 - 17*g - 20. Determine c*v(k) - 6*l(k).\nAnswer: -5*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/499 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 2 (c) -1\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 624230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2715 + -135739\/50. Let f(t) be the second derivative of l*t**5 + 1\/15*t**3 - 1\/5*t**2 - 2*t + 0 + 4\/75*t**6 + 3\/10*t**4. Let f(g) = 0. What is g?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4799 in -1\/5, 0.004, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 4202?\nAnswer: -4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9804809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2322813513.\nAnswer: 3, 17, 2679139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7980 and 840?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, 22, -3, -1148?\nAnswer: -1148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t - 2*o - 27 = -155*t + 83*t, 4*t = o - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 4371.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 364678894 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0, -0.2, -3\/124, 1\/2 in descending order.\nAnswer: 1\/2, 0, -3\/124, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by -2?\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q**3 + 10*q**2 + 12. Let k be 4 + 0 + -1 + -2. Let f(a) = 1 + 205*a**2 - 99*a**2 - 105*a**2 + a**3. Determine k*d(i) - 10*f(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -458419 (base 10) to base 15\nAnswer: -90c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 2*z**2 + 6*z**3 + 4 + 5*z**3 - 2 to m*z**2 + y*z**3 + n*z + j and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 776*b**2. Let q(f) = 5*f**2 + 2. Let u(x) = -26*x**2 - 11. Let v(a) = -11*q(a) - 2*u(a). Determine v(y(i)).\nAnswer: -1806528*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 16 = -5*c, 2 - 10 = 2*y. Suppose c = 2*a - 4. Suppose -a*p - 4 = -h + 6, 5*h + 3*p = 102. What is the lowest common multiple of h and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174 - -108?\nAnswer: 7282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 7*m**2 + 14*m**2 + 2*m + 12*m**2 to b*m + c*m**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 1. Let h(z) = -z**3 - 8 - z**2 + 2*z**3 + 7*z**2. Let s(m) = -2*f(m) + h(m). Is s(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**7\/12600 - d**4\/6 - 5*d. Let m(p) be the third derivative of c(p). Factor m(a).\nAnswer: a**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -14609\/7887?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggog when four letters picked without replacement from {g: 9, o: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*532\/(-1824)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 8*l**2 + 14*l - 15. Let h be r(-11). Suppose 819 = 4*c - h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26466 and 45177.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400884 and 2508.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13855 minus -1.053?\nAnswer: 13856.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-5)*925\/(-740)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -1\/2, 53, -0.985?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.039 in -2, 0.2, -0.066154?\nAnswer: -0.066154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -132. Calculate the least common multiple of 11 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19304 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735220043 to the power of 1\/2, to the nearest integer?\nAnswer: 41656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.8923 + -30.0907. Let s = m + 38. Round s to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 20. Let t = r - 27. What is the tens digit of (t + 2 + 0)*(-26)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 3. Let y be r(0). Suppose 4*v - 54 = -q, 5*q = v - 0*q - y. Let h = v - -30. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -19, -32, -51?\n\"Answer: -3*m**2 + 2*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.65 and -0.4?\nAnswer: -7.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 5, h: 14}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(2*h - 2*h**2 - 2*h) - 1 + h**3 + 1 + (2*h**3 + 4*h**3 - 4*h**3)*(4 - 5 - 6) + 24*h + 12*h**3 - 24*h.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -62. Let h(l) = l**3 + 8*l**2 - 7*l + 14. Let j be h(t). Is -3*766*j\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 11\/15*b**3 - 1\/50*b**5 + 0 + 33*b - 2\/15*b**4 - 6\/5*b**2. Factor g(r).\nAnswer: -2*(r - 1)**2*(r + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 9972 = -12583. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -2*k. Suppose -5*q = -2*q + k*m + 11, -3*m - 18 = -2*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/131 - 7449\/262. Find the common denominator of -48\/35 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = x - 370, 3*g = -5*x + 2164 - 322. Calculate the remainder when x is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008 + -433251763.\nAnswer: -433251762.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83377, -83283, -83191, -83101, -83013, -82927?\nAnswer: -82843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 51*f - 46*f + 10, -5*f + 30 = -10*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**3 + 25*y**3 + 22 - 18.\nAnswer: 48*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 7*p**2 + p - 1. Let b be t(7). Find the second derivative of -a - b*a**3 + 8*a**3 - a wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3 - (30 + -11 - 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411 + 12?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 8*n**2 + 14*n - 2. Let g be i(6). Let t = -17 + 27. Calculate the highest common factor of t and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 1691*r - 9333. Let c(d) = -1744*d + 9332. Let z(u) = 3*c(u) + 4*x(u). Factor z(j).\nAnswer: 4*(j - 6)*(j + 389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21806414 and 6118?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957570 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5095? (a) 1 (b) -1\/3 (c) 3\/4 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*n - 4. Let h = n + 15. Suppose -52*g = -53*g + 2. What is the least common multiple of h and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (386 - 377) + 3 + 0 + (5 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 155, 265, 403, 575, 787?\n\"Answer: j**3 + 5*j**2 + 66*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-6)*t*t*t**(-9)*t*((t**(2\/5)\/t)\/t)**(-41) assuming t is positive.\nAnswer: t**(333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-6) + 1\/3. Suppose 3*p - y*n = n + 60, -2*p - 2*n = -26. Solve -z - p = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let b = -5 + 10. Let n = b - 4.8. What is the second biggest value in n, -5, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u**(-6))\/(u*u\/u**3*u\/(u**1\/u)) assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Let l = 36 - 29. Sort z, l, -4.\nAnswer: -4, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c + 1. Let i(x) = -11*x + 1. Let b(o) = 6*i(o) - 13*z(o). What is b(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 447.1 + -447. Which is the nearest to p? (a) 7\/3 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 5, u: 3}. Give prob of sequence uc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.831106 years to decades.\nAnswer: 0.0831106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*h - 5*h + 3*t, -12 = -2*h - 4*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 plus 54?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66 * 20719\nAnswer: -1367454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -57. Solve 0 = 5*d - 3*j - 16, -2*d - 6*j - 4 = -s*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/5 - (-2807072)\/80. Suppose q = 5*d + 7029, -3*d + y = 2*q + 3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15053004 (base 6) in base 7?\nAnswer: -4265023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 18*l**2 + 72*l = 0.\nAnswer: -3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 11) in base 15?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**9\/4320 - 11*j**6\/360 + j**5\/15 + 15*j**2. Let c(x) be the third derivative of g(x). Differentiate c(q) wrt q.\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-18)\/(-15) + (-3)\/15). Suppose 26 = -13*r - 26. Let h(v) = 3*v**2. Let i(q) = -2*q**2. Calculate m*h(d) + r*i(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmeg when four letters picked without replacement from gumgiigmkiuimue.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 6)*(3*b**3 + 0*b**3 + 4*b**3).\nAnswer: -42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 19*m - 37. Let p be d(0). Let u be (p\/148)\/(2\/(-8)). Solve -u = -r + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g + 20. Give t(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 12*k**2 + 4. Let s(w) = -w**3 + 13*w - 6. Let g be s(-4). Let p be y(g). Solve p*v + 31 = 5*d, v + 13 = -3*v - d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1372 + 785. Calculate the remainder when g is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5641 - 39506 = -3*c + 63225. What are the prime factors of c?\nAnswer: 2, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxm when three letters picked without replacement from mxibbtkk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4. Let f(w) = -w - 21. Let o(j) = 2*f(j) + 11*z(j). Let b(h) = -6*h + 7. Suppose 0 = -3*d + 4 + 2. Give d*b(q) - 7*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 2 (c) -136.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35819 and 570503.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 4*p**2 - 2*p + 7. Let r be i(4). Let k be 235\/(-15) + (-4)\/12. Let b = 18 + k. Sort -3, r, b in descending order.\nAnswer: b, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/60 + y**4\/6 - 10*y**3 + 68*y**2. What are the prime factors of h(16)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r - 2. Does 3 divide x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 1909 = -651. Let d = 519 - a. Let j = d - 163. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4211\/1560 - 59\/65. Find the common denominator of 67\/20 + (-5)\/(-10) and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 18*b**2 - 20*b - 20. Let z be r(-19). Let h be (1*z)\/(3\/(-9)). Suppose h*v + 183 = 3*q, -2*q + v + 0*v = -120. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = -8. Suppose x = -v + 94, -g*v - 373 = -8*v - x. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 13*b**2 - 13*b - 7. Suppose -5*v + 4*t + 210 = 0, -2*t - t = 0. Let a = -28 + v. What are the prime factors of h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 263897 and 10432?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.03859 months to millennia.\nAnswer: 0.0081698825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = 4*x. Let r be x\/(-6)*6 - -35. Suppose -r = -3*f + f. What is the greatest common divisor of 80 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-546432)\/1344*28\/8. Which is smaller: p or -1425?\nAnswer: -1425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05144 * 4.\nAnswer: -0.20576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 - m**2 - m + 1. Let b be p(1). Find the first derivative of 9 - 7 + 3*x**b - 3 wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*y**3 + 4 - 3*y**3 to the form t*y**3 + p*y + h + s*y**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 2) + -62 + -61 + 58?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7337003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -2\/25*z**6 + 0*z**3 + 0 + 0*z + 2\/25*z**5 - 5*z**2 - 1\/40*z**4. Let h(a) = 0. Calculate a.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.16031 - -0.16031. Is 1754 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:35 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/11)*c)**(-10))**(2\/17) assuming c is positive.\nAnswer: c**(-160\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1085)\/(-341) + ((-8)\/(-22))\/(-2). Suppose s*j = -0*j + 144. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7230 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 1 = 2*i, 152*v + 3*i = 149*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 2*i**2 - 2*i**2 - 2 + 2*i + 1 - i**3. Let j be o(2). Let x(b) = 0*b**2 + 1 - 2*b**2 + 0. Give x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -4007*o**6\/6 - 2409*o**2\/2 + 1558. Find the second derivative of k(x) wrt x.\nAnswer: -80140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7 + 3*w + w**2 - w + w. What is the remainder when 7 is divided by p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -502*m**3*r**6 - m**3*r**2 - 122*m**2 - 2*m*r**6 - 5*m*r**2 wrt r?\nAnswer: -60240*m**3*r**3 - 240*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27d (base 14) in base 6?\nAnswer: -2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppbp when four letters picked without replacement from {w: 3, b: 1, t: 1, u: 2, l: 3, p: 3}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -90.388 * -0.2\nAnswer: 18.0776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*r = 19, 5*r = -70*w + 72*w + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585403716.\nAnswer: 2, 3, 149, 327407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3721016040 rounded to the nearest one million?\nAnswer: -3721000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2*t + 19 - 5, 2*b = -2 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1414, 1441, 1464, 1483?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1 - 34\/6). Let r = 11 + -7. Let f(s) = s**2 + 18*s + 20. Let u be f(-17). Solve n = -r*v, -3*h + u*v + 5 = -13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86678202067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 + 27.4. Let q = -18 + j. Which is the third smallest value? (a) q (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**24*q*q))\/q*(q**14\/q)\/q*(q**(-3)\/q*q)**(-16\/7) assuming q is positive.\nAnswer: q**(279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 25. Let x(r) = 6*r + 2. What is the remainder when x(k) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-9)*18\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/((-28380)\/(-72))*(-4 + 17\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1007540 and 53\/352639.\nAnswer: 7052780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert a20 (base 15) to base 8.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -4*q - 15*d + 5, 4 = 4*q + 4*d. Which is the closest to q? (a) 2 (b) -2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.57182 + -0.07182. What is the closest to -2\/3 in z, -1\/6, 7, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 135879.61+-4264\nAnswer: 131615.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -36, -0.2 in decreasing order.\nAnswer: 0.4, -0.2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/3 + 11077*s\/3 - 1351514 = 0.\nAnswer: 379, 10698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 4087*r + 4087*r + 2*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.817 + 0.183. Are 1.5 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -515, -24, -0.008, -1\/3?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.033, -5, 11704, -0.5, 0.16 in descending order.\nAnswer: 11704, 0.16, 0.033, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - 1580\/(-140).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 8\/5) + 35 + -34. Which is the third biggest value? (a) 2\/9 (b) p (c) 0.04 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780*(3 - (-14)\/56).\nAnswer: 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*b - 228*b + 5*j + 14 - 49 = 0, 4 = 4*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3\/2 - 3157*h**2\/2 - 852455*h\/2 - 60278675\/2 = 0.\nAnswer: -2867, -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (150024\/5922)\/(((-1)\/(-1))\/3*-10)?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + 0*t)*(-15*t**2 - 28*t**2 + 33*t**2)*(1 - 1 + 2)*(-2 + 2 + 1) to u*t**3 + o*t + s*t**2 + c and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 0, -3, 0.6, 53.7?\nAnswer: 53.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**3 - 10 + 5*s**2 + 4*s**3 + 0*s**3 + 8*s. Let o be j(6). What is the third derivative of 3*q**2 - 6*q**6 + q**6 - o*q**2 - 4*q**2 wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) - 28\/(-6). Let x be 8\/(64\/52)*2. What is the derivative of -16*b**2 - 4 + u*b**2 + x*b**2 wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 4477.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 59 = -50. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*f**3 - 83*f**3 - 87*f**3 + 101 in the form r*f**3 + k + d*f + p*f**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 28*k**3 - 94*k**3 + 0*k**3 + 11.\nAnswer: -122*k**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101473901 to the power of 1\/2, to the nearest integer?\nAnswer: 10073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 2. Let m(a) be the second derivative of -5*a**3\/2 + 42*a - 10. Calculate m(g(c)).\nAnswer: -60*c + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/(-12))\/((-2)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2177007 millimeters in meters?\nAnswer: 0.0002177007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.22 (c) -18.7 (d) 0.1 (e) 10 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -3*i + 3*c + 112, -72 = -2*i - 4*c. Let k = 47 - i. Solve k*o + 2 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -524, -1056, -1572, -2066, -2532, -2964?\nAnswer: -3356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 1. Let x(a) = 2*a + 4. Let v(f) = -5*f. Let w be v(-2). Let p = 17 + -12. Suppose 2*s + w = -2*z, p*s + 0*z + 1 = 3*z. Give s*x(q) - 6*l(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35328 - 1?\nAnswer: 35327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = -6. Suppose 6*d + 180 = 162. Put -5, l, d in increasing order.\nAnswer: -5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(2 + sqrt(8)\/(sqrt(44)\/sqrt(1331) - sqrt(4)) + ((sqrt(112)*1 + sqrt(112) + sqrt(112))\/sqrt(7))\/sqrt(8)))**2.\nAnswer: 1710*sqrt(2) + 5049\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*z - 3 + 13, 2*z = -4*f + 10. Let b = 0 + 0.14. Let x = 442019\/7 - 63145. What is the second smallest value in z, x, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*1)**2 - (0 + sqrt(192)).\nAnswer: -8*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11988 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 751*r. Let n(d) be the second derivative of -d**4\/4 + 116*d. Give w(n(t)).\nAnswer: -2253*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.064 + -1.024. Let g = d - -0.088. Is 16\/5 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14408747 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 c when three letters picked without replacement from {c: 5, u: 7, b: 1, d: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**8\/336 - s**7\/168 + s**6\/36 - s**3\/3 + 7*s**2\/2 + 164*s. Let y(m) be the second derivative of u(m). Factor y(d).\nAnswer: -5*d**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/35 - -16\/35. Let v = 130 - 129.914. Let t = -4.914 - v. Which is the smallest value? (a) t (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9235 (base 10) to base 15.\nAnswer: -2b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25*r - 204. Let z(j) = 17*j + 154. Let t(o) = 5*p(o) + 7*z(o). Calculate t(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85973803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 274355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/2))**(1\/4)*(s**(1\/2))**(-17) assuming s is positive.\nAnswer: s**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -24. Suppose -a + 20 = 4*v, 4*a - 2 = v + 10. What is the remainder when b is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - ((5 - 1) + -3). Solve 5*l - q = 8, -5*l + 3*q = g*q - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(1*4*(-3)\/42). Let p = m + 68. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6612 and 7\/6117.\nAnswer: 13481868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c + 201499360 = 215*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -511909.7671 rounded to the nearest one hundred?\nAnswer: -511900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -129*b - 121*b + 9390750. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 4*k**2 + 0 - 240*k + 3*k**3 - 4\/5*k**5 - 2\/5*k**6 + 1\/3*k**4 - 1\/21*k**7. Factor f(g).\nAnswer: -2*(g - 1)*(g + 1)**3*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 2180, 4606, 7960, 12266, 17548?\nAnswer: 23830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -24*z**2 + 3. Let w be k(-3). Let u = 202 + w. Is -112\/9 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flffulechlellfllu. Give prob of picking 1 f and 2 l.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 750397 a multiple of 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 12. Let j = 112 + -99. Suppose 0 = 14*y + j*y - 108. Solve 10*a = q*a - y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 25 = -i, -2*z - 5*i + 13 = 2. Put 4, 1, z, -5 in decreasing order.\nAnswer: z, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8610063 to the power of 1\/2, to the nearest integer?\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, j: 2, m: 1, t: 1, v: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from twtttwtttw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**3 + 1. Suppose 0 = 4*b - 3*u + 10, 0 = -2*b + 4*u - 10. Determine g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269 + 44 - 2242*g - 42.\nAnswer: -2242*g + 271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/12 - (14 + (-131 - -118))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, o: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/15 - 7\/3)\/(-1). What is the third derivative of 736*k**g + 680*k**3 - 1300*k**3 + 16*k**2 wrt k?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 47*v + 15*v + 56*v - 39*v.\nAnswer: 91*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 0*n - 17*n - 8575*n**3.\nAnswer: -8575*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00152668 rounded to 6 decimal places?\nAnswer: 0.001527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 7*a + 4. Let f be z(-7). Suppose 2*p - f = 24. Let w(k) = -k**2 + 49*k + 275. Calculate the remainder when p is divided by w(54).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -744 or -742?\nAnswer: -744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**5 - 45*t**4 + 34*t**3 - 26*t**2 - 11*t + 11. Let j(y) = y**5 - 9*y**4 + 7*y**3 - 5*y**2 - 2*y + 2. Let v(m) = 2*h(m) - 11*j(m). Factor v(z).\nAnswer: -3*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 81 - 471. Calculate the greatest common divisor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3)*3)\/7. Let u = 2131\/9 + -237. Suppose 55*r = 58*r + 9. Sort u, j, r in descending order.\nAnswer: u, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -2\/57 (b) -6\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5938353 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/((l\/(l\/l**(-8)))\/l))\/l)**(2\/17))**14 assuming l is positive.\nAnswer: l**(280\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54845 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.376 less than or equal to -1228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -18. Does 23 divide (p\/(-6) + -1)*-138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -2 + (-15 - -21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 2*a + 0*a + 10 - a. Does 12 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - ((sqrt(77) + sqrt(77) + (sqrt(77) + (sqrt(77) - sqrt(77)*1) - sqrt(77) - sqrt(77)))*-4 - sqrt(77)))\/(sqrt(49)\/(-2*sqrt(7))) + 1.\nAnswer: -12*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7348)\/(-264) - ((-7)\/6)\/7 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004733939 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/(-3*(-25)\/(-300))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 13655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 61*z**2 - 129*z - 4133. Determine v(-60).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r**(1\/5))\/((r\/(r*r\/r**6))\/r**6)*(r**(-6)*r**(1\/9))\/(r*r*(r**(1\/3)\/r)\/r)**(-40) assuming r is positive.\nAnswer: r**(74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - y**3 + (4*y + y**2 - 4*y)*(3 + y - 3) - 31*y**3 + 43*y**3 - 38*y**3.\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 divided by 24691?\nAnswer: -426\/24691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 251, 368?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24\/13 (b) 7 (c) -1 (d) 12\/13 (e) -3 (f) -2\/13 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 971113 or 971476?\nAnswer: 971113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 33526*w - 29. Give m(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 - 30*v**3 + 0.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32519506611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**8\/14 + a**5\/5 + 178*a**4\/3 - 203*a + 6. What is the third derivative of m(c) wrt c?\nAnswer: -480*c**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {w: 1, b: 1, m: 1, h: 1, c: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 522*x. Let l(y) = 36*y**2. Give w(l(i)).\nAnswer: 18792*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {k: 13, u: 3}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*v + 294111 = -186764. What is the remainder when v is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhlbkllhlccbhk. What is prob of sequence blc?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/764 + -2626\/191. Let y = l + 163\/12. What is the third biggest value in y, -11, -0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s + 305. Let w = 171 - s. Calculate the greatest common divisor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = 196 - 217. Suppose 3*x + 5*t + 24 = -11, t + 19 = -3*x. Put x, 3, -9, l in descending order.\nAnswer: 3, l, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 1 (c) 10 (d) 0.4 (e) 4 (f) 12 (g) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from yylymmlfmdy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7)*63\/(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1900\/(-1330)*2\/110. What is the nearest to -2\/3 in 4, c, 0.8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91395748*b**2 + 182791493*b**2 - 91395743*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903835.\nAnswer: 5, 163, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - 8 - (129 + -129).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) 0.1 (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 12*i**4 + i - 5*i**4 + 0 wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*d = -2*l - 14, -2*l - d = -1. Suppose 4 = 3*u - 2. Suppose 0 = -u*r + l*r - 25. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2259807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by -212078.\nAnswer: -198\/106039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 + -14?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114863?\nAnswer: 7, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426 + -435. Let n = -71\/3 - -23. Which is the closest to -1? (a) 6\/5 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2438, -3578, -4716, -5852, -6986, -8118?\n\"Answer: z**2 - 1143*z - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -305?\nAnswer: 3\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**3 + 0*a**2 - 18*a**3 + 0*a**2 + 32.\nAnswer: a**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 103?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 13*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1. Give s(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38527909*z**2 + 57360933 wrt z.\nAnswer: 77055818*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*r - 3*q - 4, 4*q + 16 = 0. Suppose 0 = h + 3*h - r. Suppose 4*c + h*a = 0, -5*c = -2*c - 3*a - 12. Solve -c*x + 1 = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188524, 376991, 565400, 753751?\nAnswer: 942044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/2 + 2*n**3 - 97*n**2\/2 - 2*n + 48 = 0. Calculate n.\nAnswer: -12, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k + 1. Let r(a) be the second derivative of 5*a**4\/6 - a**3\/3 + 2*a**2 - 282*a. Calculate r(s) - 4*x(s).\nAnswer: 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from mypmmjjemepy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/(-12) + (-4)\/6. Let n = 6 - 9. Which is the nearest to n? (a) r (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1451 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, q: 2, t: 2, c: 7, j: 1, o: 2}. What is prob of sequence jqo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20757)\/935)\/(24\/40).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (649\/(-33))\/((-21)\/7*(-38)\/(-342))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*x - 79 - 717 = 828 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 2, 46, 30, 5 in increasing order.\nAnswer: 1, 2, 5, 8, 30, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:39 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*m + 3*v + 5, -4*m + 5*v = -9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(504))\/(1*sqrt(7)*-4) - (sqrt(32)\/sqrt(4)*5)\/(-3*sqrt(4)*2)).\nAnswer: 35*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Calculate the remainder when 23\/7 + 2\/(-7) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 - -2) - (243 + -233).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*i + 13, -6*o + 8 = -2*o - 3*i. Let d = 1.84 - 2.04. What is the nearest to -1 in d, 4\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 3*u**3 - 2*u**3 + (-u**2 + 0 + 0)*((0 + 1 + 1)*(0*u + 0*u - 2*u) + 0*u - 2*u + 0*u - 12*u - 14 + 14) as n*u + r*u**2 + i*u**3 + q and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3494, 14023, 31580, 56171, 87802, 126479?\n\"Answer: n**3 + 3508*n**2 - 2*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21 + -1)*(-7)\/(-28). Suppose q + 0*q + 21 = 5*v, 0 = -z*q + v + 15. What is the derivative of q - 5*w**4 + w**4 + 0*w**4 wrt w?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13963 = 3*a - 0*k - 5*k, -k - 9318 = -2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 1071*i**2 - 283552*i - 9481. Give v(592).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v + 5*v - 177*v**2 + 175*v**2 + (0*v + v + v)*(v - 1 + 1) + 0*v**2 + 0*v**2 + 2*v**2.\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, -39478, -17\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159532 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 - c**2 + 2*c + 5. Let d(z) = -17*z**3 + 5*z**2 - 9*z - 20. What is -9*a(v) - 2*d(v)?\nAnswer: -2*v**3 - v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -305 - 112. What is the remainder when t is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-26)\/((r\/(r**(3\/19)\/r))\/r*r) assuming r is positive.\nAnswer: r**(-529\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 2*s + 12, 2*m + 3*m + s + 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**2 - w + 1. Let d be 5\/((-15)\/(-6)) + 8. Suppose -d*m + 13*m = 6. Determine f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (11 - 9 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66\/(-99) - (-422)\/3 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024104302132 + -1?\nAnswer: -1024104302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*9\/((-45)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 0*m**4 + 0*m**4 + 3*m**2 + 3*m**4 - 3*m**2 + (-m + 3*m - m)*(-2*m**3 + m**2 - m**2) - 2*m**4 + 3*m**4 + 0*m**4.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 10*t - 84. Suppose -4*i = -4*v + 96, i = -v + 19 - 3. Is t at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1793*-4.7\nAnswer: -8427.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j**2. Let c(s) = -14*s + 2. Give t(c(z)).\nAnswer: 2156*z**2 - 616*z + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 33*k**3 - 6*k**2 - 38*k. Let i(d) = -32*d**3 + 8*d**2 + 39*d. Let v(a) = -4*f(a) - 3*i(a). What is the second derivative of v(j) wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454767551.\nAnswer: 7, 31, 139, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 7 + 25. Let r = -4 + t. Let d = -38 + r. Find the common denominator of 1\/23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.56 - 1.56. Which is the nearest to 0.03? (a) -4 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -99*p + 100*p. Solve -p*r = 2*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6648.46327 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 12*l - 6. What are the prime factors of j(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {p: 1, l: 2, n: 1, o: 7, i: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (178902\/(-36))\/(15\/(-10))?\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81352736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 589 + -590. Let q = -141 + 134.3. Let m = q - -7. Which is the closest to r? (a) m (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1 + (5 - 9) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1929, 580, -895, -2502, -4247, -6136, -8175?\nAnswer: -10370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -304*u - 684. Let r(q) = -2*q - 3. Let s(l) = 228*r(l) - x(l). Let d(h) = -5*h. What is s(d(g))?\nAnswer: 760*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 147 = -5*w. Suppose -2*d = -5*h + 114, 5*h + 27 = 5*d + w. 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: 11.5533 times 4\nAnswer: 46.2132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 375 = 4*z, z - k - 85 = 2*k. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 550, 2226, 5020, 8932?\n\"Answer: 559*f**2 - f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13119 is divided by 1421.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -562\/29 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 65 + -65 - 0\/(-2). Suppose -3*b = 55 + 2. Let g = b - -37. Solve 3*n + g - 9 = h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2538616, -5077235, -7615854, -10154473, -12693092, -15231711?\nAnswer: -17770330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -285*d + 11. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 11:08 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(23\/4)\/(u**(3\/5)\/u**(-6))*((u\/(u\/((u**(1\/3)*u*u)\/u))*u*u)\/u**(-1))**(-43) assuming u is positive.\nAnswer: u**(-11921\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 519011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7997325 (base 11) to base 8\nAnswer: 65277666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -38, -11, 36, 109, 214?\n\"Answer: o**3 + o**2 + 3*o - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 449*m**3 + 3*m**2 + 36. Let b(w) = -225*w**3 - 2*w**2 - 16. Determine 9*b(r) + 4*z(r).\nAnswer: -229*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2 + sqrt(1900))*-4 + sqrt(1900) - sqrt(1900))*-5)**2 + -1 + 2.\nAnswer: -16000*sqrt(19) + 761601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 4*b**2 - 5*b - 4. Let y(k) = -2*k**3 + 5*k**2 + 4*k + 3. Calculate 3*g(r) + 4*y(r).\nAnswer: -2*r**3 + 8*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 381 + 128?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -2\/7, -2\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -26. Let a(q) be the third derivative of -q**6\/120 - q**5\/12 - q**4\/24 + 7*q**3\/6 + 3*q**2. What is the remainder when a(-5) is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-6 - -4) - 0 - 0. Suppose -4 = -2*d, 2 + 0 = -4*f + m*d. Solve 5 = c - 5*i, f*c + 9 = -5*i - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2533*k**3 - 2*k**2 - 3303*k - 21823400 with respect to k.\nAnswer: -7599*k**2 - 4*k - 3303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 20, -2*d - x = -75. Suppose -16*q + 20*q + 20 = 0, -2*h - 5*q = -d. What is the least common multiple of h and (-1*2 - -37) + -2?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*v - 11*v - 3*v - 26 + 26 as m + o*v and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**6\/120 - x**5\/30 - 5*x**4\/24 - x**3\/6 - 2*x**2. What is the units digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 206800 = 117*p. Round p to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by 769932\nAnswer: -59\/769932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2613152, -2613131, -2613108, -2613089, -2613080, -2613087, -2613116, -2613173?\nAnswer: -2613264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 617.3 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43729097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 - 893\/470. Let v(b) be the second derivative of 1\/20*b**4 - 1\/100*b**5 - a*b**3 - 9*b + 1\/10*b**2 + 0. Factor v(x).\nAnswer: -(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2555128 (base 11) to base 6\nAnswer: -234525444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621.355kg in tonnes?\nAnswer: 4.621355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.70588 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -109, -253, -455, -715?\n\"Answer: -29*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - -239505?\nAnswer: 239487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2717 in -3, 1.4, -13\/5, -0.1, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/((-77)\/(-55))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.03 (c) -2\/5 (d) 1206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**2 - 2*l**2 - 16*l**2 - l**4 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 164*o**3 - o**2 + 6*o - 4. Suppose 5*z = -3*y + 13, -2*z + 4 = -y + 1. Is 15 a factor of n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 557080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -18)*6\/(-10). Let u = 243\/20 - k. Let s = 0.34 - -0.06. Which is the closest to 1? (a) u (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) - (sqrt(22)\/sqrt(2) + 5))**2 + (sqrt(1331) - (3 + sqrt(1331)))).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - g + 36 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:59 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.043 - -0.109. Let i = 26.934 + o. Let u = i - 27.00026. Round u to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + sqrt(320) + -1 + -1.\nAnswer: -2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882235211 to the power of 1\/2, to the nearest integer?\nAnswer: 53686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*i**3 - 70*i**3 - 74*i**3 - 20*i wrt i.\nAnswer: -108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2013089, -2013088, -2013087?\nAnswer: -2013086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 18, 7, -5, 1.4, -2\/9?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.535 + -955182.38\nAnswer: -955178.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-147)\/15 - (-2)\/(-10). Let x be (-1 - -2) + 2\/o. Sort x, 0.4, -0.4 in descending order.\nAnswer: x, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1606935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249600)\/(-5824) - 42\/49?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 4. Let v(y) = 6*y**2 - 1. Let i(c) = -5*c**2 + 1. Let m(p) = g*i(p) - 3*v(p). What is the units digit of m(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h. Let x(g) = -2*g + 0*g + 4*g + g. Give b(x(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33418 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 264342*b**2 + 24*b + 203. Let j be g(-18). Suppose 17*n + 98803421 = -j. What is n rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8038 is divided by 503.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -116*w + 4. Suppose -2 + 3 = -3*j + 4*s, 0 = 2*j - 3*s. Let u be b(j). Find the common denominator of -33\/20 and (-580)\/u + (3 + -7)\/(-4).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {o: 7, q: 2, x: 7, a: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 n when three letters picked without replacement from {t: 1, u: 4, a: 1, n: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 51. Let d = -15 - m. Suppose d*t - t = 3*n + 66, 0 = -t - 5*n + 28. What is the highest common divisor of t and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4845*0.4\nAnswer: -1938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9\/((-45)\/(-20)) - (-348 + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -0.2 (c) 20 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (-53 - (-45 + 5))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 20*n**2 + n + 11. Give x(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*v - 506 = 0, -5*v - 445 - 324 = -3*y. Calculate the remainder when y is divided by 51.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3267 - 3265. What is the closest to 12 in u, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20128974 and 233338.\nAnswer: 986319726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*k**(-4))\/(k*k\/k**(1\/5)*((k**2\/k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 230*v + 327*v - 79*v + 10994 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639664552?\nAnswer: 2, 79958069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 - 563*v - 546. Let i(c) = -9*c**2 - 1125*c - 1096. Let b(o) = -5*f(o) + 3*i(o). Factor b(u).\nAnswer: -2*(u + 1)*(u + 279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34604088*v - 34604088*v + 1858*v**2 as b + t*v + o*v**2 and give o.\nAnswer: 1858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 divide 1242360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 11. What is the remainder when 38 is divided by p(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-6)\/4)\/((4140\/(-280))\/(-69)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 84 + (-4 + 40 - 34).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24488 - 108783. Is (-4)\/18 + l\/(-207) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r**2 - 4*r - 2. Let p(z) = -z - 1. Suppose 0*b - 5*b - 5 = 0. Calculate b*a(i) + 4*p(i).\nAnswer: -i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 3 = -27*z. Let d be ((-170)\/(-51))\/(2\/z). Suppose -5*y - 2*m = 3*m + 10, -d*y + m + 20 = 0. Solve y*a + 0*a = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(931)*2 + sqrt(931))*-4)**2.\nAnswer: 1206576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288.246 - -288. Let x = 80.453 - 80.1. Let l = x + a. What is l rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/768 and 13\/1512192.\nAnswer: 1512192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10219 - 10224. Put 0, -4, -753, 2, w in descending order.\nAnswer: 2, 0, -4, w, -753","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 172934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 3*i**3 + 46*i**2 - 393*i**5 + 402*i**5 + 0*i**5 - i**5 + 0*i**5 + (5*i + 2*i**2 - 5*i)*(-i**3 - i**2 + i**2).\nAnswer: 6*i**5 - i**3 + 46*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:56 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 j when three letters picked without replacement from {y: 1, d: 2, g: 1, j: 2, u: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 7*r - 9. Let f be o(7). Is (4\/(-6))\/(8\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + 13 - (1*-1 - 17). Let j = -39 + 94. What is the highest common factor of j and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/96 and -95\/138.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27661.95 - 27662. What is the second smallest value in -2400, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**3 + 10*u**2 - 45*u - 90 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1312)\/56 - (-288)\/(-504)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34457, -34445, -34431, -34415, -34397?\n\"Answer: v**2 + 9*v - 34467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 - g - 3. Let u be a(-3). Let r = 40 + -71. Let p = u + r. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3345900 divided by 3\nAnswer: -1115300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 o, and 1 h when four letters picked without replacement from sohhuhuhoooohuhosos?\nAnswer: 63\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182091593 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*u - 106 = 3*u, -3*o = 5*u - 58. Calculate the highest common factor of o and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 9) to base 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4016*h**3*m + 15*h**3 + 1744*h**2 wrt m?\nAnswer: -4016*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 875 and 5250?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**0)**(-13\/2))**0\/(m**(-1\/5)\/(m\/(m*m*m**(-5)*m)*m)*(m*((m*(m\/(m**(-5)\/m)*m)\/m)\/m)\/m*m)\/m**6) assuming m is positive.\nAnswer: m**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2089*v + 2088*v + 3*d - 14 = 0, -5*v - d = -26. Factor 0 + 1\/4*x**v + 0*x**2 + 0*x - 1\/4*x**3.\nAnswer: x**3*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 j when four letters picked without replacement from jjwwwwjwww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 2) + (317 - 339) + -67\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(3 - (-9)\/3). Let k(o) = -130*o + 9. Is k(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 1110747.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22918 (base 10) to base 8\nAnswer: 54606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14303 (base 5) to base 15\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let o(c) = -c**3 - 18*c**2 - 24*c - 115. Let h be o(-17). Suppose -h*y + i*y - 14 = 0. Which is bigger: -10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80349136 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 936520 and 1664.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210474 times 4?\nAnswer: 841896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5116, 20481, 46094, 81949, 128040, 184361, 250906?\n\"Answer: -l**3 + 5130*l**2 - 18*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1291 - 5947 = -16*r. What is the tens digit of (-21)\/(-3) + r + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*f + r + 17, -2*r = -2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyllyly. What is prob of sequence ly?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 2*a - 1 = -123 - 74, 0 = 2*i - 3*a - a + 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - 3*m**2 + 5*m + 12. Let a(x) = 2 - 4*x**3 - 4*x**2 + 0 + 6*x + 9. Let y(s) = -4*a(s) + 5*r(s). Let n be y(0). Is n smaller than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:17 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1422*y + 9. Let u(k) = 355*k - 2. Calculate 2*h(j) + 9*u(j).\nAnswer: 351*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d57 (base 14) in base 6?\nAnswer: -245025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 15. What is m(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 346\/15 or 23?\nAnswer: 346\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6456 and 1952.\nAnswer: 1575264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a - 18 + 18 + a - 3*a + 0*a + (-22 + 4 - 6)*(-10*a - 14*a + 7*a) as p + h*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 586924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.1. Let n = -24.5 + 24.8. What is the third biggest value in 2, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-16)*z**(-1\/10))\/(z\/(z**33\/z*z)*z**(-1\/12)) assuming z is positive.\nAnswer: z**(2999\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1598150 and 4602672.\nAnswer: 115066800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 5 = -29 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**3*t**2 - 21154*r**3*t - 24*r**3 - 7713*r**2*t - t**2 + 6 wrt r.\nAnswer: 6*t**2 - 126924*t - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -1\/56*p**8 - 1\/60*p**5 + 0 + 0*p**7 - 5*p**2 + 0*p + 0*p**4 + 0*p**6 + 0*p**3. What is the third derivative of u(k) wrt k?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 31. Calculate the lowest common multiple of k and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45058, 90594, 136130, 181666?\n\"Answer: 45536*z - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m**2 - 193829*m + 96921*m + 96908*m.\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**4 - k**4 - 3*k**4)*(-1 + 1 + 1)*(2*k - 1 + 0*k + 2*k).\nAnswer: 4*k**5 - k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 26*l**2 - 32*l + 56.\nAnswer: 2*(l - 14)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a - 1)*(a + a - a) + (-16 + 7*a + 16)*(11*a - 20*a + 8*a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 11:35 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + 22*m**2 + 37*m + 25. Is h(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 2. Solve -n*y - 2*y - 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 28*y + 1. Let i(p) = -p - 27. Determine m(i(q)).\nAnswer: -28*q - 755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1126289142, -1126289140, -1126289138?\nAnswer: -1126289136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**3\/6 + 2*s. Let i(w) = -w + 5*w - 11*w**2 - 3*w + 13*w**2. Let f(c) = -2*g(c) + 2*i(c). Let b(x) = 2*x. Give f(b(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, p: 1, h: 7, q: 1}. What is prob of picking 1 q, 2 h, and 1 l?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:42 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5593 + 5553.97. Let n = d + 39. Let l = -2.2 - 2.8. Which is the third smallest value? (a) -3 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*4\/(-12)*1. Let t = -9 - -18. Let m = -9 + t. What is the third smallest value in 0.12, m, l?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s - 128. Calculate u(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (486\/162)\/(12\/(-16)*2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdd when three letters picked without replacement from ddmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140? (a) 1.1 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 7. Let x be 9\/18 - (-1 - 5\/2). Suppose -3*f + 97 = -2*f - d, x*f = -3*d + 409. Calculate the remainder when f is divided by p(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -244, 4\/7, 3, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(-264 + 269)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*w - 7*w. Suppose w*t - 73 - 131 = 0. What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5174 + 8800?\nAnswer: 8800.5174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3899890 and 0.01?\nAnswer: 3899890.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 3*h - 2*h. Let j(r) = -2*r**2 - 6*r. Let n(x) = -x**2 - 2*x. Let v(u) = j(u) - 3*n(u). What is v(q(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-110))\/(((-2)\/25)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -106*h + 5. Suppose 0 = -5*t + 10, 6 = -2*q - t + 5*t. Let s be 2\/(-2 - 0)*1*q. List the prime factors of r(s).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -1)*(-4)\/30. Let v = -0.1 + 0. What is the closest to v in d, 2, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2386*v**4 + 4*v**2 - 17943 wrt v?\nAnswer: 9544*v**3 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 0 + 21*g**3 + 25*g**3 + 6 - g**3 as r + i*g + a*g**2 + m*g**3 and give m.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17684216.\nAnswer: 2, 11, 17, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -823, -3369, -7651, -13681, -21471, -31033, -42379, -55521?\n\"Answer: -2*n**3 - 856*n**2 + 36*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/(606\/202)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0*z - z**3 + 1\/60*z**5 + 0 + 5\/24*z**4 - 41*z**2. Factor p(w).\nAnswer: (w - 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1980? (a) -4 (b) 1\/7 (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212.796 + 251.79744. Let w = -39 + k. Round w to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -363650 in -2\/11, 4, 0.5, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2149*u + 983*u - 237048 = 276*u for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, c: 3, h: 1}. What is prob of sequence chkc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.8 and -5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**2 + 6*w**2 - 3*w**2 as o + z*w**2 + i*w and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36230692 - 28969318 = 4*g - 5*y, -g - 4*y - 16299992 = 0. Round g to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4 - x + 6 + 27*x**2 + 2*x - 4. What is the units digit of l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 2*l + 3. Let r be m(-2). Find f such that -3*f**2 - 90*f**r - 3 + 7 + 89*f**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 19295*s - 680. Let x = -10346 - -10349. Let b(v) = 85*v - 3. Determine x*q(r) - 680*b(r).\nAnswer: 85*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 4. Let z be a(-4). Let u be (-3 - -4)\/(-1)*-5. Let k = u + -4. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -17?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*d*h**3 - d*h**2 - 4168*d + 421*h**3 - 1594*h wrt d?\nAnswer: -6*h**3 - h**2 - 4168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbxxbrxxc. Give prob of sequence rr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7700135 and -0.5.\nAnswer: -3850067.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 122000023 (base 4) in base 7?\nAnswer: 622342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*x - 12 = 0, 4*f + 3*x + 513 - 509 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*k - 25 = 0, 0 = -3*k + k - 10. What is the fourth smallest value in v, 0.5, -5, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let p = 2 - s. Factor 2*r**p + 4*r**4 - 2*r**5 + 6*r**5 - 2*r**5.\nAnswer: 2*r**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8265 is divided by 2281?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*l - 165*l - 29*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 0.9.\nAnswer: -6, 0, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -27132029.3 to the nearest 100000.\nAnswer: -27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31350 + -31346. Let y(u) be the second derivative of 0*u**3 - 17*u + 0*u**2 + 19\/20*u**5 + 13\/6*u**s + 0. Find the third derivative of y(b) wrt b.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 10*o - 15. Let x be z(-7). Solve -3*r - 6 = -x*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11263*4.347\nAnswer: -48960.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 589 - 592. Let o be 27120\/(-36)*(r + 9). Round o to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11680, 23362, 35048, 46738?\n\"Answer: 2*a**2 + 11676*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3002*w + 535*w = 4458*w + 48475 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1872*p - 5616. Let s be y(3). Which is smaller: s or 5\/437?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 69182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x**3 - 4*x**2 + 36*x - 85. What is c(2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-294)*-2*-2\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*i**4 + 210*i**3 - 156*i**2 + 24*i = 0. Calculate i.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/12 + 9*k**2. Let g(i) = -9*i**2. What is g(s(c))?\nAnswer: -225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h - 4*h - 2846*h**2 + 2837*h**2 to t*h + d*h**2 + z and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4099*i**2 + 4153 wrt i?\nAnswer: 8198*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239 + -238. Let v(b) = -8*b**3 + 4*b**2 - 3 - 2*b**2 + 2. What is v(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69096 and 216.\nAnswer: 621864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004177527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6.5. Let g = 0.3 + o. Let u = 6.9 + -11.9. Which is the third smallest value? (a) 5 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2240*b - 1 - 25 - 2 + 3 + 13 + 14.\nAnswer: -2240*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2803696786463 from 0.1.\nAnswer: -2803696786462.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 13*t + 86. Calculate the lowest common multiple of z(16) and 902.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -28.5. Sort 0.4, -1, g in descending order.\nAnswer: g, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -187, -672, -1479, -2602, -4035, -5772?\n\"Answer: n**3 - 167*n**2 + 9*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 19, -1, -29, -65, -109, -161?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**4 - v**3 + v**2. Let a(y) = 3*y**4 - 6*y**3 + 6*y**2 + 13*y. Let n(d) = -a(d) + 6*c(d). Find the second derivative of n(b) wrt b.\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265641 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109267*x**6 - 6*x**2 - 702*x.\nAnswer: -13112040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w - 60. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -344.0177 + 0.0177. Let r = 338 + w. Sort r, -0.4, 1\/3 in increasing order.\nAnswer: r, -0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = -k. Suppose 0 = -k*m - 1 + 26. Suppose 184 = 4*v - m*t, 88 + 80 = 4*v - t. Find the common denominator of v and -73\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -91, -181, -287, -415, -571, -761?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3360030 = -27689970. What is a rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 218\/(-6) + 4\/12. Let z = 66 + p. Suppose -4*o + 9*o = z. Solve 0 = -4*x + x + o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/k**3)\/k)\/k**(7\/3))\/((k*k*k*k\/k**(2\/21)*k*k)\/(k**1*k)) assuming k is positive.\nAnswer: k**(-152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -29. Let k be (-2)\/(-3)*i\/10. Suppose 0*l + k*r = -4*l + 1065, -5 = 5*r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {n: 2, d: 1, h: 2, x: 7, m: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y**3\/2 - 759815*y**2\/2 - 217096*y - 31014 = 0.\nAnswer: -2\/7, 15507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/7 + 62*x**4 + 6750*x**3 - 685820*x**2\/7 - 47249*x\/7 + 685386\/7 = 0. Calculate x.\nAnswer: -101, -1, 1, 13, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 4. Let n = -175 - -168. Let l be (-6 - 42\/n)\/(-3). Sort 1, -0.03, i, l in decreasing order.\nAnswer: 1, l, -0.03, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -47. Solve 2*f - 10 = -5*c, -u*f + 9 = -3*f + c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12671, 25369, 38083, 50825, 63607, 76441, 89339?\nAnswer: 102313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 362, 3094 in increasing order.\nAnswer: -6, 1, 362, 3094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*u + 38, -5*j - 4*u + 6 = -62. Calculate the least common multiple of j and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Let i = 0.2006 - -0.8764. Let n = i + 0.023. Which is the third biggest value? (a) m (b) n (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12. Let k(y) = -13*y - 8. Let x(u) = 7*u + 4. Let f(a) = 6*k(a) + 11*x(a). Let p be f(-5). Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 - 7640*y - 45660 = 0. What is y?\nAnswer: -1522, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3 (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 3 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17865*1\/(-1) + (-228)\/38 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 4*c**2 + 7*c + 6. What is k(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21 + 3)\/4 - (-6)\/(-3). Solve -4*g = -5*b - 33, 2*g = v*g + 4*b + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80712 - 381?\nAnswer: -80a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636271 (base 10) to base 12.\nAnswer: 268267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2403\/154 - 163\/11. Find the common denominator of c and ((-40)\/(-48))\/(10\/(-33)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 134.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*p**3 + 6*p**2 - 52*p**3 + 5*p**2.\nAnswer: -p**3 + 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-44)\/8)\/(-11))\/((-11)\/484).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*n**2 - 25*n**2 + 15*n**2 to the form c + j*n + y*n**2 and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15696 by -2.\nAnswer: -7848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 8*m**2 - 2*m - 21. Determine f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 - w. Let v(u) = -11*u**3 - 5*u**2 + 5*u**2 - 18456*u + 18459*u. Calculate 5*h(n) + 2*v(n).\nAnswer: 8*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/120 - 53*s**5\/60 + s**4\/6 + 2*s**2 + 15. What is the second derivative of d(q) wrt q?\nAnswer: 6*q - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3069367 and 4046.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -38*m - 2. Let r(s) = -54*s**2 + 1. What is x(r(j))?\nAnswer: 2052*j**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1107, 1101, 1099, 1107, 1131, 1177, 1251?\n\"Answer: o**3 - 4*o**2 - o + 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 8 + 13)*(j + 4*j - 6*j) - 4*j - 3*j + 4*j + 2*j + 5 - 5 + 4*j - 4*j + 2*j + (0 - 1 + 3)*(-2*j + 0*j + 3*j) + j + 3*j - 2*j)*(0 + 1 - 3).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -105. Suppose 586012 = 2*u - 3*t, o*u = -3*t + 512294 + 73694. What is u rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 413342133?\nAnswer: 413342121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 813681 at most as big as 813676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -701 by -2376.\nAnswer: 701\/2376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*c - 19*c - 52*c - 35*c to w*c + s and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let c(h) = h**2 + 1. Let o(v) = 36*v**2 + 30. Let q(k) = -30*c(k) + o(k). Calculate r(q(y)).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*y - 7231 = -3*q, 0 = -3*q - y - 21651. Let j be (-48644)\/q + 6\/8. Let p = -145\/41 + j. What is the common denominator of 39\/20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 - 673*b + 17856. Give d(43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.06806 litres to millilitres.\nAnswer: 60068.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-4)*12\/14. What is j in -4*j**2 + 2 + j - 4*j**2 + 0*j + 3*j**2 - j**3 + z*j**4 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36 * -191477\nAnswer: 6893172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 12*v = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from {k: 12, w: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 2. Let b(c) = -2*c + 1. Let u be ((-340)\/102)\/((-2)\/3). Calculate u*b(v) - 4*k(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4677.53 to the nearest integer.\nAnswer: 4678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueu when three letters picked without replacement from uueeeuu?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1923 + 1924. Which is the second smallest value? (a) -6\/5 (b) 0.3 (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 328 + 608. Let z = -97 + j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 441517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - b - 8 = 0, 25*m - 4*b + 40 = 23*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k. Let d(m) be the third derivative of m**8\/2240 + 61*m**5\/30 - 95*m**2. Let x(y) be the third derivative of d(y). Determine c(x(f)).\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 6438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*(-10)\/45.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((220\/(-231))\/20)\/((-1)\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 77216848.\nAnswer: -77216847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2135\/610*((-15)\/21)\/1*-8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -59. Is (i - 1)*2\/(6\/(-2901)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-3)*(-1 - 0). Let f(q) be the second derivative of -q**5\/20 - q**4\/2 - q**3\/2 + q**2\/2 + 5153*q. Calculate f(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 10. Let l be (0\/(-3 - 0))\/t. Determine q so that 2\/7*q**4 + 0*q + l + 2\/7*q**2 - 4\/7*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - -7) + (-10 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 + 2288088*b**3 + 327629905828*b**2 + 120335508494784*b + 11063744539760896 = 0.\nAnswer: -285827, -184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16604 = 417*o + 24110 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2. Let w(i) = -23*i**2 - 32*i**2 + 73*i**2 - 26*i**2. Calculate m(w(p)).\nAnswer: -256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7761 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((-56)\/35 + -12)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01700022 - 0.017. What is s rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/4 + 45*n\/4 + 23\/2 = 0.\nAnswer: -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1306396 and 103\/171717?\nAnswer: 66626196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70.81 * 176.3.\nAnswer: -12483.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5)*(-30)\/16. Let l(b) = -5*b**2 - 2*b + 8. Let t(w) = -4*w**2 - w + 7. Let z(i) = 5*l(i) - 6*t(i). Let p be z(-3). Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w - 70*w = -152*w - 351 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4006*p + 4022*p - 8019*p - 42)*(2 - 2 + 2*p + (5*p - p - 2*p)*(1 - 2 + 2)) to y*p + f*p**2 + d and give y.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 5 - 1\/2*y**2 + 5*y. Determine g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b + 363. Let a be f(-16). What is the highest common factor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25414 + 25589. Calculate the remainder when v is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 41*a**2 - 21*a - 12. Let k be w(21). Let t(u) = u. Let y(r) = 18*r + 2. Give k*t(p) + y(p).\nAnswer: 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(88))\/sqrt(4))\/(sqrt(66)\/(3*sqrt(6))) + -6*(sqrt(20)\/(sqrt(10)*3) + -1))**2.\nAnswer: -132*sqrt(2) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11749 and 1209?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 79, 46, -21, -134, -305, -546?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 139.0724 and 5.\nAnswer: 144.0724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8 + -0.9.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 25 in ascending order.\nAnswer: -1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185559163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*(63\/(-14) + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -3. Let v be (-3)\/(-12)*4 + -13. Let l = v - -23. Solve 0*z - g - l = 3*z, -5*z + 5*g + d = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1217\/2589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 5. Let u = s - -4.1. Let r = -0.303 + -4.697. What is the nearest to -1\/4 in u, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27218 divided by 73?\nAnswer: -27218\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 916856.9 meters in kilometers?\nAnswer: 916.8569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 1 + 53 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 2*g**4 + 15 + 20*g**2 - 5*g**2 + 0*g**3 - g**3 - g - 14 to z*g**3 + l*g + j*g**2 + a + n*g**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -404, -418, -448, -500, -580, -694?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1436650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303104901.\nAnswer: 3, 11, 1283, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -11. Suppose -41 = -3*k + j - 322, i*k - 4*j + 184 = 0. Find the common denominator of (2 + 1)*k\/12 and -29\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 1 - 3*h - 26*h**3 + h - h**2.\nAnswer: -26*h**3 - h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16580 is divided by 3833.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 - -323. List the prime factors of ((-2)\/5)\/(w - (-9877)\/(-1645)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47192 is divided by 200.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 + 126. Solve p*d = n - 2*n + 4, -3*n - 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - 204. Let j(l) = 4*l**3 + 2*l**2 + 2*l. Let u(w) = -13*w**3 - 7*w**2 - 7*w. Let s = -4 + -3. Give g*u(i) + s*j(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-78)\/207 + (-6)\/(-18)). Let t = u + 71. Solve t*m + 0*q + 19 = 3*q, -5*m - 37 = -4*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15661, -31221, -46785, -62353?\n\"Answer: -2*h**2 - 15554*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1625364 and 819.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -38, 1, 6, 5, -1, -40 in descending order.\nAnswer: 6, 5, 1, -1, -12, -38, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y**2 + 13*y + 7. Suppose 8*d + 14 = 6*d. Let b(x) = -5*x**2 - 4*x - 2. Determine d*b(k) - 2*c(k).\nAnswer: 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7189 and 31402917.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - b**2 - 13*b - 7 + 18*b to n*b + l*b**2 + w and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + 0. Let b = y - 60. Suppose b*g + 160 = 12*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75315671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 - 8*f - 15. Let o be k(-3). Solve -33 = -11*b - o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -620935 and 0.07?\nAnswer: 620935.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -269*w**3 - 5*w**2 + 9*w + 49. Let n be x(7). What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14721 - 14719.7. What is the second smallest value in -4, d, -5, -2, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-36) - 48\/(-27). Let f(d) = -d + 19 + 3*d + q*d + 2*d**3 - 15. Let h(y) = -4*y**3 - 7*y - 7. What is -7*f(c) - 4*h(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -335 (c) 0.89 (d) -1\/7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -138590523?\nAnswer: 138590517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -867, -834, -803, -774, -747, -722?\n\"Answer: -t**2 + 36*t - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11322300 (base 4) to base 5.\nAnswer: -1233430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31095 + -57039. Is k\/(-5) - (-1)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8877355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-42)\/3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 270*j**3 + 178*j**3)*(j**2 + 1 - 1).\nAnswer: -92*j**5 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -313333*q**2 + 2*q - 9. Let z be v(3). Round z to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 361 - 315.2. Let v = l + -48.8. What is the biggest value in -4, -3\/2, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 303423000 to the nearest one million.\nAnswer: 303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37999866 at most 37999866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 229927219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = t + 7. Let s be t\/39*(-18)\/4. Suppose -3*o = -i - 145, 5*o - i + s*i - 227 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 19 + 7 = 0. Let h(i) = i**2 - 3*i - 3. Let t(p) = -10*p**2 + 34*p + 34. What is u*t(y) - 68*h(y)?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4 - ((-2097)\/36 + -1). Let n be 19 - (-1 - -1) - -1. Calculate the greatest common divisor of n and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592121 < 2592131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -372*s - 55804. What is b(-150)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 379574067 a multiple of 1125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2808154.\nAnswer: 2, 877, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9*x - 7. Let g be l(10). Let n be -2 + 1 - (2 - g). Solve 25 = -5*y - n*y + 5*a, 5*a = 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1371\/5, -0.6, 0.08 in increasing order.\nAnswer: -0.6, 0.08, 1371\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -94, -140?\n\"Answer: -46*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 2, p: 1, k: 1, m: 1, u: 1}. What is prob of sequence ku?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3. Let m(f) = f**3 - 4. Suppose -9*h - 150 = -14*h. Let l = -33 + h. What is l*m(u) + 4*b(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(700).\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003211 (base 4) in base 8?\nAnswer: 20345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -401 and 203?\nAnswer: -81403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a**2 + 4*a - 28. Suppose 6*f = 2*f + 5*h + 16, -4*f - 3*h + 16 = 0. Let d(k) = k**2 + k + 2. Let g(o) = f*d(o) - b(o). Differentiate g(v) wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 + 45)*((-4)\/(-3))\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*w + 4*a, -2*w + 4*a = -0 - 4. Suppose 28 + 104 = w*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 569 and -80.\nAnswer: -45520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29*-1*324675\/144855\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 21. Solve -3*x + 12 = 0, -3*z + x + r = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/47 in -2.1, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 252 + -65. Let l = -132 + m. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 676 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47348 + 47348 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*r - 43, 2*r = r - 4*v - 3. Let c(t) = 2*t**2 + 20*t - 16. Let o be c(r). Let g be 20\/15 - 39008\/o. What is g rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 169*f + 6543. Determine m(60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g + 3. Let i = 14 + g. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 25, 3, 1 in descending order.\nAnswer: 25, 3, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -q + 3, 3*q - 3 = 3*g + 2*q. What is a in 0 + 1\/4*a**4 + 1\/2*a**3 + g*a + 1\/4*a**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -12)\/(132\/(-68) + 2).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**5 + 148480*q**3 - 846*q**2 + 6*q + 19 wrt q.\nAnswer: 300*q**2 + 890880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96483*d**4*w**3 - d**4 - 2*d**2*w**2 - 2*d**2*w - d*w**3 + 3*d*w**2 + 1200360 wrt d.\nAnswer: -2315592*d*w**3 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14716.\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - g**2 - 4*g**2 + 3 + 3*g. Let q(c) be the third derivative of -c**5\/30 + 5*c**4\/12 + 5*c**3\/3 + 230*c**2. Determine -10*h(k) + 3*q(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/12 - (-2)\/(-4). Sort b, 5, -5, -7.\nAnswer: -7, -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368 - -541. Suppose -6*n + 763 = -341. Suppose -26 = -6*w + n. Calculate the remainder when a is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1)*-1 - 0. Let d(s) = -2*s. Let w be d(-2). Let m(r) = 4*r - 4*r - 3*r + 1 + w*r. Let h(c) = c - 3. What is b*h(l) - m(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*c - 8011 = -618*c + 4576 + 15868 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3632\/9 or -404?\nAnswer: -3632\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-136)\/(-12) + 46\/69 - 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.9786455 to two dps.\nAnswer: 112.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 369865 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 530\nAnswer: 11\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -6a9102?\nAnswer: 6a90dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:34 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/808 >= -17430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + (-9 - -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791.93013 less than 0.1?\nAnswer: -1791.83013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2680 and 201.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.2, -0.07, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b + 23514. Let m(r) = 2*r - 5879. Calculate -2*a(c) - 9*m(c).\nAnswer: 2*c + 5883","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12 = -3*m, 3*t = m + 4 - 1. Suppose 3*s = 2*h - m, -5*h + 1 = 2*s - 14. Let d be ((-3)\/(-2) + -1)*s. Solve 0 = -2*b - d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:40 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 3*u**2 - 2*u - 4. Let r(p) = -p**3 - p**2 - p - 2. Calculate 4*h(c) - 9*r(c).\nAnswer: c**3 - 3*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.14, 0.19, -1 in ascending order.\nAnswer: -5.14, -1, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 448\/(-77) + 6 - (-175)\/308\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*114\/(-12)*792\/(-495).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4.28. Let f be (3\/(-15))\/(6\/(-75))*2. Let t be 678\/126 - f - 4\/(-14). Which is the nearest to n? (a) t (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (197\/((-415276)\/(-272)))\/16\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 685618 and 290?\nAnswer: 3428090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 g when three letters picked without replacement from yygnygnyynyynyyn.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 2*b. Let u(f) be the second derivative of b - 2*f - 1\/2*f**2 + 0*f**3 + 1\/12*f**4. Factor u(j).\nAnswer: (j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 0.226, 0.3, 3\/35 in ascending order.\nAnswer: 0, 3\/35, 0.226, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 - 22*q**2 + 5*q**2 + 2*q**2 + 11*q**2 + 7*q**2 - 9*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 166*m + 333. Give s(-35).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 880794 divided by -81.\nAnswer: -10874","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jett when four letters picked without replacement from jtjjjjeejjteeejt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -198 and 107.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 5. Let y(g) = g**3 + 5*g**2 + g - 5. What is y(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 16780 = -3*o. Let n = 5879303 - 70501231\/12. Let i = o + n. What is the common denominator of i and 63\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2 - 18. Let v be (24\/(-30))\/((16\/(-10))\/f). What are the prime factors of (-2428)\/18*v + (-2)\/(-9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 1, l: 1}. What is prob of sequence lq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**2 - 6*r + 6. Let y(l) = -20*l**2 + 17*l - 17. Determine -17*g(q) - 6*y(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 9*l + 32. Let v be i(-3). Let t = -583\/15 - -39. Let g be ((-966)\/(-28))\/(-23)*(-12)\/(-9). Which is the closest to 5? (a) g (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 2*j**3 - 5*j**3 + (-2*j**2 - 2*j**2 + 3*j**2)*(-2*j + 2*j + j) + (82704 - 82704 + j + 293*j**2)*(4 - 4 - j).\nAnswer: -298*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*j + 21 - 31 + 12 as b*j + k and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 6*m**2 - 3*m - 5. Let d be t(-4). Suppose -3*a - 5*z = 120, a = 4*a + z + 120. Let b = d - a. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/12 + (-11094)\/8. What is the tens digit of (k\/165)\/(5\/((-525)\/2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.4 (c) -160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0 - 0. Let f(b) be the third derivative of u + 2*b**2 - 1\/24*b**4 - 1\/30*b**5 - 1\/6*b**3 - 1\/120*b**6 + 0*b. Give f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.166 (b) -0.4 (c) -3 (d) -5 (e) 10\/9 (f) 2\/27 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 + 1 + 0. Let a be (0 + 1)*(3 - 1). Let t(k) = -5 - 2 - 2*k**a + 8*k**2 - 8*k**2. Calculate -6*b(v) - t(v).\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by 4.\nAnswer: -177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 167?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 22 = -q. Let l(r) = -r + 3. Let z(a) = -6*a + 17. Determine q*l(w) + 6*z(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 5:56 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001595053 rounded to six dps?\nAnswer: 0.001595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2 - 51*y + 48 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 572, 41.1, 5 in decreasing order.\nAnswer: 572, 41.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by (-76)\/228*(-111)\/1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 13*r + 29036 = q, 5*r - 116138 = -4*q. What are the prime factors of q?\nAnswer: 2, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 23*i**3 + 322*i**2 + i + 8. What is o(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 306 = 2*h - 6*u, -3*h + 445 = -u. Let z = h + -436\/3. Which is the closest to -0.2? (a) 1\/4 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2) + -2 + 23. Suppose -4*i + 0*i - l = 0. Let y = 1 - i. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6 and 18\/3 + (3 - (-24)\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.5. Let i = -574.1 - -618. Let m = 44 - i. Put s, -2\/23, m in ascending order.\nAnswer: -2\/23, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*m + 233*m = -240. Calculate the remainder when 1939 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -493*u**5 - 1232*u.\nAnswer: -9860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 56*f + 392.\nAnswer: 2*(f + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -624\/6797 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 4*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4905 and 15784035?\nAnswer: 5161379445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/5 + -1 + 1*21. Put 5, l, 2, 1 in increasing order.\nAnswer: 1, 2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diiddiewdxxd. Give prob of picking 1 d and 2 x.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + 2 + 1. What is the third derivative of 3*x**r + 4*x**2 - 2*x**2 + 7*x**2 - x**2 wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(750\/80 - 9). Sort 98, p, 5 in descending order.\nAnswer: 98, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 3. Suppose 5*k + 1 = -19, 0 = -2*a - k - 10. Put a, o, -2 in decreasing order.\nAnswer: -2, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1434120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -23040?\nAnswer: -23034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 23643?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -38499*k - 249. What are the prime factors of t(-1)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 35. Let c(f) = f**3 - 4*f**2. Let k be c(4). Let d = p - k. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5308198?\nAnswer: 2, 7, 379157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 5) - (-1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10103, -20186, -30247, -40280, -50279, -60238, -70151, -80012?\nAnswer: -89815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -2*a - 20. Let r be ((-60)\/(-14))\/(a\/(-7)). Factor -6 - 4*w**3 - 3*w + 14 + r*w.\nAnswer: -4*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = -8, 15 = 5*g + 5*l. Suppose -5*n = 3*w - 37, -21 = -4*n - g*w + 19. Solve 3*r + 4 + 2 = -5*h, -n*r - 10 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 2999767\/25763724 + 44\/34079. Calculate the common denominator of -67\/189 and j.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131844905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + (-6 - -3) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 1, -8?\n\"Answer: -9*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12719065 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -19. Let v be 4\/o - (-20)\/9. Let w be v\/16*160\/20. Solve -2*g = -g + w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 4*z - 1, -419*s + 424*s - z + 31 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h - 6*h = 0. Suppose h = 4*u + x - 967, -5*u + 4*x + 1235 = -0*x. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:48 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(8\/3)*s)\/(s*s*(s*s*s\/s**(-5\/3)*s*s*s*s)\/s*s))**(7\/9)*((s*s**(1\/4))**(-2))**(-33) assuming s is positive.\nAnswer: s**(1387\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -488424.6 and -0.03.\nAnswer: 14652.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 60. Let b be l(-14). Suppose 168000 = -22*x + b*x. Round x to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(-b + 0*b - b) - 6*b - 3*b + 3*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3610379 to the nearest ten thousand.\nAnswer: -3610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from ittkt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -5*f**8\/1344 + f**7\/42 - f**6\/32 - 79*f**2\/2 + 3*f + 18. Let q(c) be the first derivative of x(c). Solve q(k) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 249996 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvbvvbbvvvbvbvv. Give prob of picking 2 v.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -72*x - 28. Let k(s) = -13*s - 5. Let b(w) = -5*f(w) + 28*k(w). Let o = -144 + 254. Let t be (-2)\/(-2)*(o\/11 - 11). Calculate b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 226*s - 5702. What is m(29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + p - 2)*(-89*p**2 - 511 + 511) + 4*p - 4*p + p**3.\nAnswer: -88*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7953611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24911685 divided by -127.\nAnswer: 196155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -7767.\nAnswer: -2330.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -24947\nAnswer: -2\/24947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*u**3 + 3*k**3*u + 693*k**2*u**2 + 24*k*u**3 + 2*u**3 - u wrt k.\nAnswer: 12*k*u**3 + 18*k*u + 1386*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 31 - 14 - (19 - 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -929*k**4 + 2*k**2 - 1432*k - 8. Let j(p) = -p**2 + 4. Let g(c) = 2*j(c) + o(c). Find the second derivative of g(h) wrt h.\nAnswer: -11148*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (177 - 182)*8\/(-10). What is the highest common factor of g and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**7\/252 - i**6\/180 - i**5\/24 + i**4\/72 + 2*i**3\/9 + i**2\/3 - i. Solve o(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-50) - 2*(-497)\/140. What is the closest to t in 3\/5, 2\/3, 2\/43?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 8 (b) 16 (c) -5\/4 (d) -1\/53 (e) -0.1 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/5))**(-24)\/(a**(-5)*a\/a**(-2\/5)) assuming a is positive.\nAnswer: a**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 1. Let j = -11 - 5. Let h = -15 - j. Let k be p(h). Solve w + k = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*d**3 - 94*d + 189*d**2 - 50*d + 35*d + d**4 - 5*d**3 - 111*d.\nAnswer: d*(d - 1)*(d + 11)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1189 (b) -2\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5053883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91254574909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -15. Which is the closest to 0.4? (a) h (b) -1\/4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42437 is divided by 356.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*l + 7 = -3*p, p + 3*l + 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7468795, 14937587, 22406379, 29875171, 37343963?\n\"Answer: 7468792*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4 = -2*k - 17 + 5, -29*o - 40 = 5*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - y - 27, -3*l - y = -22. Let n = -137 - -139. Suppose -n*k = -31 - 9. Solve k = 2*a - l*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-1) + 7 + 9. Let m be (-3 - (-66)\/v)\/(-3). What is the nearest to -0.1 in 3\/4, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352770 divided by -35277\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5137?\nAnswer: 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) -1\/9 (b) -3 (c) -2 (d) 2\/639 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403646658*r**3 + 1142878800*r**2 wrt r.\nAnswer: 2421879948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -80. What is the remainder when 213 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327 or -67?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 3*o + 5*o + (6*o + 0*o - 4*o)*(-2 + 0 + 1))*(-8*o**2 + 6*o**2 - 2*o**2).\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -84. Let o be (-72)\/(-33) + 6\/c. Suppose -o*r + 271781 - 10071781 = 0. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let f(x) be the third derivative of x**6\/90 + 4*x**3\/3 + 6*x**2. Let r(p) be the first derivative of f(p). Determine r(y(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5 + t**2 - 4 + 11*t - 2*t**2. Let o be v(11). Put -2, o, 2 in decreasing order.\nAnswer: 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19947066 to the power of 1\/2, to the nearest integer?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -2 - -2) + (-3 - (4 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {f: 1, u: 1, w: 2, k: 2, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 51*v + 883. Give x(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r + 3*r + 1118 - 2222. What is the remainder when 433 is divided by r?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 - s**5\/10 - 5*s**4\/24 - s**3\/3 + 2*s**2. Let k be c(-5). What is the units digit of 0 + (-3)\/(-3) - k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*a**2 - 32*a**2 + a - a - 106*a**2 as m*a**2 + t*a + l and give m.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 11.891 and -3545748190.\nAnswer: -3545748178.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + 1 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -176797930 from -95.\nAnswer: 176797835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36184301 and 8144.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5692 divide 142504912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t - 3 = 0. Let r be 0\/((t*4)\/(-4)). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 5*m - 3*m - l, 0 = 12*m + l - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o. Let j(i) = 9 - 2 + i - 3 - i**2. Let n be j(2). Let v be (-14)\/21*(-15)\/n. What is u(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54153346 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 2*y - 228. What is the remainder when y is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/((x*x**(-1))\/x*x)*x))*x**(-4)\/x)**(-2\/5)*(x**(2\/7))**(3\/8)*x**(2\/9)*x*x**4\/x assuming x is positive.\nAnswer: x**(6967\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27776)\/155 - (2 + 22\/(-10)). Let r = 283 + w. Calculate the greatest common divisor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 8 - 1 + 3*o)*(-1 - 6 + 17).\nAnswer: 20*o + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/327 or 5\/3?\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n - 3 + 11*n + 3.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -122224 divided by 22?\nAnswer: -61112\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 32 = 3*p - 7*z, 3*p = 4*z + 8. Solve 3*i - p = -11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(91)\/sqrt(7))**2 - 3*sqrt(13)*3) + ((sqrt(104) - -1*sqrt(104)*1) + sqrt(104))\/(sqrt(8) - 2*(sqrt(8) - sqrt(24)\/sqrt(3))).\nAnswer: -6*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 653110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -21, 90?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -779 - -899. Calculate the remainder when 252 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-805255.\nAnswer: -402627.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*k - 66. Put k, 1713, -1 in ascending order.\nAnswer: k, -1, 1713","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5081 + 5079 = -2*a - k, 4*k - 12 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 7. Let q be x(0). Let u = q + 47. What is the units digit of (u\/16)\/((-2)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278985, 278987, 278989?\nAnswer: 278991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.7 - 22.7. Let x = 2.85 - 6.87. Let s = -0.02 - x. Which is the closest to 0.1? (a) j (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 12. Let k be n(6). Sort k, 5, -0.1 in ascending order.\nAnswer: -0.1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 - (0 - 0). Let i be 3 + 80 - -2*r. Calculate the greatest common divisor of i and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -24. Let o = 5 - 4. What is the third biggest value in o, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 711 - 724. Calculate the common denominator of z + 12 + (-101)\/(-56) and 65\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 5e30?\nAnswer: 5e2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127404928 divided by 1856?\nAnswer: 607438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/7 - 804*p\/7 + 3168\/7 = 0.\nAnswer: 4, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3*d + 3*d)*(-4 + 3 + 4) + 7312*d - 3015*d + 645*d.\nAnswer: 4933*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 31 + 19 = q, -4*x + 92 = -5*q. Calculate the highest common factor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**8\/6720 + o**7\/504 + o**6\/180 + o**5\/30 + 5*o**4\/24 + 4*o**2. Let b(a) be the second derivative of q(a). Give b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:45 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -87*b**4 + 4*b**3 + 7*b**2 + 22. Let w(z) = 88*z**4 - 3*z**3 - 6*z**2 - 21. Let j(i) = -4*w(i) - 3*x(i). Find the third derivative of j(t) wrt t.\nAnswer: -2184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 6804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(75)*1 + -5 + -2*sqrt(75))*4*2 + -3)**2.\nAnswer: 1440*sqrt(3) + 172809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 14*c - 57 + 27 + 28 = 0, 8*c + 28 = -3*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 14. Let v be w(0). Let a be 38\/(-8) + 8372\/1456. Sort -1, 3, a, v.\nAnswer: -1, a, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23357, 1, 4, -17 in decreasing order.\nAnswer: 23357, 4, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 15*s - 14. Calculate f(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/47)\/(r**(-16)*r))\/(r**(-7)\/r**(3\/25)))**(12\/5) assuming r is positive.\nAnswer: r**(311292\/5875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 4}. What is prob of picking 1 t and 3 d?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5711, 4318, 2925, 1532, 139, -1254?\n\"Answer: -1393*m + 7104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 8) to base 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/31, 4, -0.15 in increasing order.\nAnswer: -0.15, -3\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4712 and -23.\nAnswer: -108376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14193.2 rounded to the nearest 100?\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 13652 = 620*z, -3*v - 217*z - 34 = -216*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 8}. What is prob of picking 1 q and 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 5*h + 3. Let r be u(-4). Suppose -2*l + 463 = 5*c, 2*l = -2*c + r + 143. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a + 7261898 = 7255994 for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41555413323 + -3?\nAnswer: -41555413330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 45*i + 1\/3*i**3 + 4\/3*i**4 + 0 - 1\/2*i**2 - 1\/10*i**5. What is the second derivative of d(b) wrt b?\nAnswer: -12*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/13 + 1536*m**3\/13 + 10646*m**2\/13 - 6144*m\/13 - 42616\/13 = 0. What is m?\nAnswer: -761, -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*f = 4, 1184*p - 7*f = 1182*p + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h**3 - 5*h**2 - 5*h + 13. Let t(r) = -7 + 2*r**2 + 3*r**2 - 3*r**3 + 2*r - 3*r**2 - 4*r**3. Let i(j) = -2*m(j) - 5*t(j). Differentiate i(w) wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, k: 3, g: 1, n: 1, b: 1, t: 2}. What is prob of sequence egn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*m - 38, -m + 0*m + 18 = -4*r. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1917 and 6.302?\nAnswer: 1910.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4457785 or -4457783?\nAnswer: -4457783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = g - 12841, 0*g + 25680 = 2*g - c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 1, o: 1}. What is prob of picking 1 o and 2 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3053 - -47.0693. Round w to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 83.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 11*h - 1. Calculate y(-9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - (-8)\/24. Suppose i*s = 2*s - 28. Suppose 3*j = s + 10. Calculate the remainder when 21 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 30 = -8*w + 5*m, 43 = 3*w + 4*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(7480\/(-64))*155\/124?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/((l\/l**(-3))\/l*l*l))\/((l**1*l)\/l*l**6) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 183\/11 < 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -1286, -3361, -6266?\nAnswer: -10001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16953, -16953, -16947, -16929, -16893?\n\"Answer: s**3 - 3*s**2 + 2*s - 16953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.8 + 5. Let d = 4.06 - 0.46. Let h = d - 4. What is the third biggest value in h, m, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - 54\/(-7). Let k = -430 + 486. Calculate the greatest common divisor of k and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235895 * 1\nAnswer: -235895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(120))\/sqrt(6))**2 + -5 - ((sqrt(5) + -1 + sqrt(5))*-3 + 5*(sqrt(5) + -2)).\nAnswer: sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - (-2)\/(-8). Suppose 3*j = h, -9 = 3*f + 5*j - 0. What is the tens digit of (f - -2) + (8 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 10*i - 10 = 0. Let s be 7\/(-21) - (-5)\/21. Put 6, -1, i, s in descending order.\nAnswer: 6, s, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/4 in -4, -10, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2685 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5340 and 30.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-90)\/100) - (10 + (-2392)\/130)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*g + 17 - 8)*(2 - 2 + 7).\nAnswer: 21*g + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -93 (b) 1\/4 (c) -2 (d) -5 (e) -1 (f) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, -6.\nAnswer: -19, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*h**6 + h**5 + 38*h**2 wrt h?\nAnswer: 1800*h**3 + 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/1440*3)\/((-35)\/(-63))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 39*f**3 - 5*f - 5. Let g(j) = -19*j**3 + 2*j + 2. Determine -5*g(u) - 2*k(u).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3672167395 to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1814*t + 16335. Give c(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2, 117, 0, -1.377, -1 in increasing order.\nAnswer: -2, -1.377, -1, 0, 1\/6, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t + 12*t + 13*t + 2*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 4*o - 5*o + (-2*o - 2*o + o)*(3 + 6 - 4).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**2 + 22*f + 8. Let n(c) = 15*c**2 - 41*c - 15. Let k(m) = -6*n(m) - 11*s(m). Let r(x) = -x**2 + 2*x + 1. Calculate -3*k(l) + 7*r(l).\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s. Let g(n) = 0*n**2 + 4*n**2 - 6*n**2. Determine g(y(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3552579, 3552578, 3552577, 3552576?\nAnswer: 3552575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -286 + 489. Suppose -4*a = -5*q - 258, -n = -7*a + 4*a - q. Let f = a - 34. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (286\/(-40) + 7)*((-766)\/24 - 1) and -51\/316.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -20*r**2 + 29*r - 79. Calculate a(4).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/60 - 3*f**4\/4 + 71*f**3\/6 + 52*f**2 + 2*f. Let k be p(-21). Let v = -5 - -14. Is k greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 - 9*a - 116. Let j = -91 + 81. Does 30 divide y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*k = 3*t - 120, -4*t + 84 = -5*k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10788*s = 2763*s + 104325 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(-33)*f**(-3)*f\/(f*f**(1\/7)) assuming f is positive.\nAnswer: f**(352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -344, -750, -1230, -1784, -2412?\n\"Answer: -37*j**2 - 295*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3 + 3568*a**2 - 3175508*a - 12759184 = 0.\nAnswer: -4, 1786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 7*q - 138. Suppose q = 6*r - 1368 - 1722. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25144267 and 4245?\nAnswer: 377164005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from caccccacaccaaccccaa.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 75\/217?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m - 24. Let g = m + 12. Solve 5*d - 4*c = 7, 0*d - g*c = -4*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -3, -2 in ascending order.\nAnswer: -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from nssnssnssslsnqnsn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**3\/3 - 5*z**2\/2 - 9*z - 3. Let s be v(8). Solve -5*f + s = -0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let o be (18\/(-30))\/((-2)\/10). Let u(j) be the first derivative of -j**3 - o + 3*j**2 - 3*j**2 + 6. What is h(u(r))?\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2312\/476 + (-6)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -229124351677?\nAnswer: -229124351677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 + 17*w**2)*(-4*w**3 + 5*w**3 - 3*w + 0*w**3).\nAnswer: 17*w**5 - 51*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*t**2 + 2*a**4*t - 6*a**3 - 6*a**2*t**2 - 6*a**2 + a wrt a?\nAnswer: 24*a*t**2 + 48*a*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/20247 + -2004425\/283458. Let f = -93\/17 - -5395\/952. Find the common denominator of b and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 - 140. Let u(v) = -v**3 - v**2 - 3*v - 2. Determine u(f).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539991850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -7*i**5\/60 + i**4\/24 + i**3\/2 - 4*i**2. Let n(t) = -3*t**2 + 1. Let v(c) = -4*g(c) + 10*n(c). Solve v(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/63)\/(5\/(-45))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**2\/2 + 41. Let t(z) = 5*z. Let w(p) = 3*n(p) + t(p). Let b(c) = -7*c - 3. Determine w(b(i)).\nAnswer: -14*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 4:28 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5 + 616632*k**4 + 289429*k.\nAnswer: -40*k**3 + 7399584*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1072744 decades to years.\nAnswer: 1.072744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*v - 2*v. Find the first derivative of -7*j**v + 7*j**2 + 3*j**3 - 16*j**2 - 101*j - 130 + 101*j wrt j.\nAnswer: 9*j**2 - 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 6*y + 53. What is the least common multiple of 60 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 0*c**2 + 0*c - 24 + 25\/3*c**3. Let w(h) = -3*h**2. Calculate o(w(s)).\nAnswer: 225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*o = 10 + 26, j - 4*o = -18. Let y = j - -26. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 336546056 and 0.3.\nAnswer: 336546056.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -597*i**5 - 954*i**3 - 1088881*i**2.\nAnswer: -35820*i**2 - 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(((x*x\/x**(-8\/5))\/x)\/x*x)))**(-2\/27))**(2\/83))**(3\/25) assuming x is positive.\nAnswer: x**(-52\/93375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 65)\/((-2)\/56*(-324 + 352))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2 + 5 - (-6*(sqrt(11)*-1 - sqrt(11)))**2) + 0.\nAnswer: -1577 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35189\/(-86373)*(-2)\/(-33)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -89. Let p = -46 - -97. Suppose -4*d + p = -25. What is the remainder when f is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 - 2*r**2 + r**2)*(2 - 1 + 3) + 28335*r + 20*r**2 - 28335*r - 2 + (1 + 4 - 4)*(-4*r + 4*r + 2*r**2) as s*r + g*r**2 + u and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-3)*(0 + -15). Let t = -25 - s. Calculate the smallest common multiple of 2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*c + 26 = 0, 2609025*m = 2609022*m - 2*c - 23 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30625225 (base 7) to base 5.\nAnswer: 1124444410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235190930.\nAnswer: 2, 5, 7, 31931299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92152 and -2.\nAnswer: -184304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b + 2*b + 9*b = 0. Put 16, b, 3, 5, -3 in descending order.\nAnswer: 16, 5, 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -202211?\nAnswer: -202214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(55\/10)*(-4)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-3)\/(-2) - 1) + 138591\/(-37642)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 + 112. Let y(a) = -a**3 - 2*a. Let j(f) = 4*f**3 + 7*f. Suppose 28 + 7 = -5*h. Calculate h*y(v) + k*j(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/275)\/((-6)\/(-33)) - (-29 + 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3155968 and 548864.\nAnswer: 12623872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 1 = 2*p. Suppose p*d - 17*d + 60 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -34*l + 36. Suppose 0 = -9*j + 4*j + 2*x + 5, 4*x = l*j + 14. Factor -4\/3*y - 32\/3*y**j - 14\/3*y**4 + 0 - 22\/3*y**2.\nAnswer: -2*y*(y + 1)**2*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 583*28\nAnswer: 16324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2.0893 (b) 3 (c) 8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 17725 = -15*i + 20*i, -2*k + 2*i - 8860 = 0. Is -4425 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 at most as big as 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -333574, -667154, -1000734?\n\"Answer: -333580*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36004 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20875\/754498 - -1\/6922. Let t = 233\/545 + h. Sort -0.5, 4.5, t in decreasing order.\nAnswer: 4.5, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 + -162.9841. Let t = h + -0.0159. Which is the third smallest value? (a) t (b) 46 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = 0. Suppose -17 = 2*q - 47. Suppose y = c - 6*c + q. Solve -2*s = 2*a - 4*s + 4, 0 = c*a - 5*s + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 2 + f**2 + 2*f**2 + 4 + 2*f. What is the tens digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2039670 and 19\/830?\nAnswer: 169292610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/1646 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*18\/468*13.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/63)\/(z**(13\/5)\/z))\/((z\/z**(-12\/7))\/(((z**3\/z*z*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-719\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18930430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let x = 58.7 - -16.3. Let s = x - 75.5. What is the second biggest value in 0.2, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = w - 2*w + 5*x, 5*w + 2*x - 257 = 0. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-4 - 7\/(-3) - -2). Let k = n - -118. What are the prime factors of k - -6 - -1*4*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.134847ng to tonnes.\nAnswer: 0.000000000000000134847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yks when three letters picked without replacement from jskywhjh?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*n - 145*n + 77*n = 3*t - 16, 33*t - 128 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -977.43.\nAnswer: -48.8715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-18)*-3*1\/20?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -57\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8808 and 12111.\nAnswer: 96888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n**2 + 4*n - 5. Is o(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 1.51233.\nAnswer: -8.48767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2941\/7 - -420. Suppose 2*r + 14 = -4*x, -x - 2 = -0*x. Let n = r + -2. Which is the third smallest value? (a) -13 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 142*i - 2444. List the prime factors of m(29).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*b**2 + 308*b**2 - 616*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 21*m - 13. Let k be b(-19). What is the highest common divisor of 200 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 74. Suppose -q*d + 50 = 4*k, -5*d - k = -2*k - 92. What is the remainder when d is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 3*1*sqrt(170) - sqrt(170))\/(-1*sqrt(1440)) + (sqrt(85)*2*-6 + sqrt(85))\/(sqrt(5) + sqrt(5) + sqrt(180) + 2*sqrt(180)))**2.\nAnswer: 272\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4485 and 161529?\nAnswer: 10499385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8094 divided by 426\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*g + 9. Let q(m) be the second derivative of -1\/12*m**4 - m**3 + 2*m - 3*m**2 + 0. Give q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -872 + 968. What is the greatest common divisor of 27 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, m: 1, y: 2}. Give prob of picking 1 m and 2 i.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 9*b = 198. Suppose 5*o - 47 + 9 = -3*n, -o + 1 = 0. Let u = n - b. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-993)\/(-4634)*(-28)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(5 + (-1514)\/(-6)).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 103 = -3*g + 20, 2*a - 3*g + 37 = 0. Let j be 0 + 2 + 30\/a. Which is greater: -0.6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2396.3 and 1197.546926.\nAnswer: -1198.753074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21381 times 2?\nAnswer: 42762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 80, 66, 56, 56?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(-18\/7))**(2\/41) assuming b is positive.\nAnswer: b**(6\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(-3) - 4\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmxxxxmx. What is prob of sequence mxmx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 23 = -173. Suppose -w = 2*c - 634. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from ssvsrsssrysys?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -24\/1397?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*c - 50. Let i(a) = 29*a**2 - 6*a - 4. Calculate the remainder when i(-1) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11))**(-3\/11)*h**10\/((h\/(h\/(h**(5\/6)*h)))\/h) assuming h is positive.\nAnswer: h**(6691\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (-79260)\/78 - 24\/156. Which is smaller: 1011 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k = -115*k + 88 - 0. Let a(u) be the second derivative of 1\/6*u**4 - 5*u**2 + k*u + 4\/3*u**3 + 0. Find w, given that a(w) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(500)*-5)\/sqrt(10))\/(sqrt(360)*-2 - sqrt(200)\/sqrt(5)).\nAnswer: -15*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 13*p + 6. Let w(c) = 2*c**2 + 12*c - 5. What is 5*v(m) + 6*w(m)?\nAnswer: 2*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30792008 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -7*p**4\/12 + 5*p**3\/6 - 5*p**2. Calculate the remainder when k(-6) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 6:09 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 1:56 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*x = -2*r + 787, -5*r = 2*x - 803. Let k = 302 - r. Suppose -4*g + 631 = g - 3*z, -k = -g - 5*z. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(117) - sqrt(117))\/sqrt(9).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from {a: 2, j: 4, t: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/262 and -41\/131?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*g + 5*g**3 - 36*g + (-1 + 2*g + 1)*(0*g**2 + 3*g**2 - 4*g**2) - 7*g**3 - 9*g**3 - 18*g**3.\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189 - 186. Differentiate -33 - 307*a**3 + 151*a**u + 156*a**3 + 15*a**4 with respect to a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:43 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -i - 55, 11*y + 3*i + 7746451 = 7746136 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*k - 3 + 315. Suppose 0 = -5*t + k*t. Solve -z = 4*o - t*o, -z = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x. Let b(s) = -15*s. Let y(i) = 3*b(i) + 5*f(i). Let l(m) = -6*m. Suppose -1 = k, -o + 4*k = 2*k - 6. Determine o*l(n) - 5*y(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:07 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyynynynnnn. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1616 (c) -1 (d) 0.06 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 - 23*m**4\/12 - m**3\/6 - 19*m**2\/2 + m + 1. Let v be a(-23). Solve -2*p - 2*f + v = 0, -9*p - 5 = -4*p + 2*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12221)\/(-6) + 1\/6. Let z = 6089 + -3175. Let h = z - d. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6491 - -6495. Solve 4 = -5*g - 16*i + 13*i, -13 = -w*g + 3*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 4*t + t**3 + 44 + 6*t + 4*t**4 as f*t**2 + a*t + s*t**4 + l*t**3 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169682, 169685, 169698, 169727, 169778, 169857?\nAnswer: 169970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 599*d + 11. Let a(s) = s**2 + 592*s + 9. Give 5*a(q) - 4*n(q).\nAnswer: q**2 + 564*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, x: 1, r: 3, s: 2, o: 6}. Give prob of sequence ru.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1838514856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54324200 and 20?\nAnswer: 54324200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 3*d**2 + d**2 - 3*d**2 + 2*d**2 + 2*d**2 + (3 - 4 + 3)*(6*d + 3*d**2 - 6*d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -705151*c - 491259?\nAnswer: -705151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/41)*g*g*g**(-43)*(g*(g\/(g**9*g*g))\/g*g)\/g*g**32 assuming g is positive.\nAnswer: g**(-777\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 9:34 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13)*d)**(2\/41) assuming d is positive.\nAnswer: d**(22\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(3 + 2*v - 3) + 2*v + 0*v - 4*v + (-1 - 3 + 2)*(-2 + 2 + 3)*(3 + 2*v - 3) + 9*v + 991 - 991.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 1402340?\nAnswer: 1402346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24214470610.78 minus -0.2?\nAnswer: -24214470610.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 2856280*z + 509895964900.\nAnswer: 4*(z - 357035)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 285, 609, 933, 1257, 1581, 1905?\n\"Answer: 324*u - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 + 2158*n**2\/5 + 618048*n\/5 + 3814776.\nAnswer: 2*(n + 35)*(n + 522)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 153\/(-6)*(-4)\/6. Suppose 3*s + q - 65 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/17 - 101020*i\/17 - 18319392\/17.\nAnswer: -2*(i + 182)*(i + 50328)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 810.8389 litres?\nAnswer: 810838.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - f**2 + 0*f**2)*(-f + 3 - 3) - 2*f**3 + 0*f**3 + f**3 + 5*f + 2*f**3 - 5*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**5 - 48*i**4 + 744*i**3 - 1152*i**2 - 5616*i = 0.\nAnswer: -26, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 5 + 1)**2 + 2)*-4 - (sqrt(200) + -2 + sqrt(200) + -3 - (sqrt(200) + (6*(5 + sqrt(200)) - sqrt(200))))**2.\nAnswer: -5377 - 3280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(10\/3)*k*k**(-10)*(k*(k\/k**(2\/9))\/k)\/(k*k**15) assuming k is positive.\nAnswer: k**(-188\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 6*f = 11*f + 67, -5*w = -3*f - 57. Solve -o - 10 + w = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-1\/16)))\/(((f*f**9)\/f)\/f))\/((f\/(f**(-3\/8)\/f*f))\/f**(-3\/4)))**(-2\/19) assuming f is positive.\nAnswer: f**(161\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 100 + 25)*(-3*b + 2*b - b)*(5 - 3 + 1).\nAnswer: 138*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 17*q + 61. Let a be w(5). Sort -5, -18, a, -1 in ascending order.\nAnswer: -18, -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*30*(-77)\/55.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -507*o**3 - 173 wrt o.\nAnswer: -1521*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -803.645 - -802. Let w = b + 0.236. Round w to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-1) - (-5 + 3). Let i be m\/18 + 796\/18. Suppose 0 = 2*t - 2*k - 26 + 2, k = 5*t - i. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12084*v - 486 + 305 + 2815*v + 180 to j + m*v and give m.\nAnswer: -9269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*k - 11 + 17*k - 39*k)*(-1065 + 35*k**3 + 1065) in the form z + p*k**2 + x*k + f*k**4 + u*k**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-5))\/(12*6\/(-480))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388448, 1553824, 3496092, 6215234, 9711232, 13984068?\nAnswer: 19033724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-279)\/(-558) + (-4)\/(2 - -10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -109, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 301 = -2*a, -6*a + 610 = -2*a - 2*t. What is the greatest common factor of a and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 15*s**2 - 2*s - 7. What is the units digit of k(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2996152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -29, -69, -127, -203, -297, -409?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4648, -9297, -13950, -18607, -23268, -27933?\n\"Answer: -2*l**2 - 4643*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.2 - -7.2. Let u = -32 - d. Which is smaller: u or 1.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {n: 1, z: 1, p: 1, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/((-54)\/(-60))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1154 + 1158. Let j(l) be the first derivative of -l**3 + 2*l - 1. Let y(m) = -m**2. What is q*y(w) - j(w)?\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 7, -4 in descending order.\nAnswer: 7, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 416*o + 466099 - 466099 - 8*o**3 in the form a*o + l*o**2 + j*o**3 + i and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {g: 7, m: 1, z: 9, v: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8547 and 3003?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k - s + 2242 = 0, -k = -88*s + 84*s - 38 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = 50. Suppose -5*q + 2*w + 22 = 5*w, -2*w + l = -q. Solve -3*k = q*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*f = 40, -2*i + 14 = -5*f - 30. Suppose -k + i = -4*k, 3*j - 2*k - 14 = 0. Let r = 0 - -1\/2. Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, -49*x + 52*x = n + 92. Solve 12*a - 80 = -x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 34. Suppose -1 = -2*f + 5. Solve -2*z = -4*z + 8, 5*z - t = -f*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20197 divided by 19.\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 695 + -174. Let w = b - 241. Suppose -w = -x + 49. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6512 and 59\/110.\nAnswer: 32560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d + 2*u + 28, 4*d - 5*u - 40 = 0. Suppose -21 = -3*x - 3*t, -x + d = x + 5*t. Let k = 2 + x. What is the greatest common factor of 60 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 4694 = 4674 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(24)\/(-2*sqrt(2))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2845299 divided by 948433.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28355\/8 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 26*a - 232. Calculate d(7).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 350069663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.7, 0.015, -0.599?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 3 - (-3 - -1). Suppose 3*q = -0*t - 5*t + 17, -21 = -j*q - 5*t. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*v + 3*v**2 + 134*v - 9*v - 64*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8532 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/5 + 132*b**3\/5 - 33194*b**2\/5 + 175620*b + 378000 = 0 for b.\nAnswer: -175, -2, 36, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -144*g**3 + 60*g**2 - 22*g - 16. Let t be k(-36). Round t to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 17 = -n, 4*n + 3*v - 2 = -3. Suppose 6*x - n*x - 64 = 0. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2. Let g(c) = -86*c. What is k(g(q))?\nAnswer: -29584*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6568653104 to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76407?\nAnswer: 3, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-seven halves of a kilogram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1 + 1 + h**2 - 2*h + 1. Let o be a(2). Let v be 3*o*12\/27. Solve -m - 12 = -v*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*h + 6. Let k be (2 - -1)*(h - -1). Let r be k + 1 - (-3 - 1). Solve 5*q - 5*j + 20 = 0, -r*j = 2*q - 3*q - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40154 or -40152?\nAnswer: -40152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 11*n - 12. Let u(x) = -9*x**2 + 19*x + 24. Let z(s) = 5*d(s) + 3*u(s). Factor z(y).\nAnswer: -2*(y - 3)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -65, 4, 1, 2\/5, 3, -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - 18 = 3*q, 0 = -4*q - 4*w - 24. Let c(s) = 3*s**2 - 3*s + 1. What are the prime factors of c(q)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694752 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -26. Suppose -4*z + n*l + 43 = -0*l, 0 = -z - 3*l - 2. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17873 + -17872.9. Which is the third smallest value? (a) -3 (b) k (c) 587 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1854 - -3186. Suppose 10 = -2*c, -s = -5*b - 3*c + 4*c. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40414*m + 517 = 40461*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**4 - 2*y + 2. Let w(s) = -5*s**2 - s. Let n be w(-2). Let b(t) = -4*t**4 + 9*t - 9. Let i(m) = n*k(m) - 4*b(m). Factor i(c).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/1700 + 6809\/5100. Let d(k) = k**3 + k**2 - k + 1. Let l be d(1). Is l at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/5)\/(1\/(-5)). Let z = -12 + -4. Let k = z + j. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = 12. Let l(a) = -a**3 - 4*a**2 - 2*a. Let u be l(v). Let q = 20 - u. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 139 = 19*i + 9*u, -4*u + 158 = -3*i - 47 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjuu when four letters picked without replacement from jssuzsjssusussuuuurz?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 4.13. Let z = -1689 + 1679. What is the third smallest value in y, 0.2, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y - 88. Let p = -17 - y. Suppose -4*n + 4 = 2*u, 3*u - 3 = 3*n + 3. Solve -u*f + p*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12713 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -767*p + 2461?\nAnswer: -767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z**5 + 1\/168*z**8 + 0*z**6 + z - 1\/30*z**7 - 7\/24*z**4 - 18*z**2 + 0 - 1\/6*z**3. Find the second derivative of g(n) wrt n.\nAnswer: 40*n**3 - 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 296041, 296013, 295985?\n\"Answer: -28*z + 296069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:01 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:57 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 0*o**2 - o**2 + 0*o - 6*o + 7*o - 1 + 2*o**4 in the form m*o + d + l*o**4 + s*o**3 + k*o**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 6*w**2 - 30*w - 23. Let q be n(-9). Suppose 30 = -4*r + 2. Let b = 10 + r. Solve m + b = 0, -2*m = q*d + m + 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -169*l**3 - 44846*l**2 - 18620257 wrt l?\nAnswer: -507*l**2 - 89692*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4424 and 8428?\nAnswer: 1331624","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, y: 1, z: 1, n: 1, k: 2}. What is prob of picking 1 y and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8326 is divided by 260.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 7, 1\/6, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y - 3. Let j be x(-5). Suppose j*t - 6 - 4 = 0. Suppose 2*g + 3*d + t = 0, -5*d - 13 = -g + 4. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18*v + 12. Suppose -4*q - 17 + 1 = 0. Let f(i) = 17*i + 11. Let z(s) = q*l(s) + 5*f(s). Differentiate z(o) wrt o.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -3 + (-2)\/(3\/3). Let o(d) = -d**3 + 5*d**2 - 2*d + 2. Let c be o(4). Let j = w + c. Solve -j*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*72\/126.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 0*v + 9 + 10*v to i + d*v and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/110 and -107\/174.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, -7\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (-40)\/(-15)*9\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*6\/(-33) + 108*1\/(-11). Put 0, -3, o, 1, -1 in descending order.\nAnswer: 1, 0, -1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*p*p*p**(5\/3)*p)\/p)\/p))**(2\/77)\/(p**(-4))**(-41))**(9\/8) assuming p is positive.\nAnswer: p**(-28425\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -68067.3 times -0.01\nAnswer: 680.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**3 - 7*i**2 - 2*i + 8. Let g(n) = 10*n**3 - 20*n**2 - 7*n + 24. Let z(q) = -2*g(q) + 7*w(q). Let y(f) = 23*f - 405. Let d be y(18). Give z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:44 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (0 + (-27)\/15). Let x = k - 7\/5. Let g = 8 - 6. What is the nearest to x in -5, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107\/(-535))\/(1253\/(-315) - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 122, 405, 958, 1871, 3234?\n\"Answer: 15*b**3 - 2*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 1, -91, 40 in ascending order.\nAnswer: -91, 0, 1, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) -1632 (c) -0.3 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (585\/52)\/(3\/(-16)). Calculate the least common multiple of 18 and (-1 - c\/6) + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-11 - (-19 - 1 - 2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 60*w - 51*w. Solve 17*u - w = 14*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58571?\nAnswer: 37, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h*h**(4\/17))\/(h**(4\/5)\/(h\/h**(-4\/13))) assuming h is positive.\nAnswer: h**(7451\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54676 - -54681. Let w be 2 + (-146)\/37 + 2. Which is the nearest to 0.1? (a) w (b) -3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 875.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123934*y**3\/7 - 247861*y**2\/7 + 123920*y\/7 + 1.\nAnswer: (y - 1)**2*(123934*y + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124387 is divided by 1439?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71549\/8 - 8941. Let n(w) be the first derivative of 3\/16*w**2 - x*w - 3\/32*w**4 + 7\/8*w**3 + 7. Let n(f) = 0. Calculate f.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -592462337968 minus 0.09?\nAnswer: -592462337968.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 172 (b) 0 (c) -7\/4 (d) -3\/2 (e) -16 (f) 2\/3 (g) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 - 615 + 77 = -131*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 2.4. Let x = 0.18 + 0.02. Do x and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 12 + -2 + -5 - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 4, -5\/3, 4\/139 in ascending order.\nAnswer: -2, -5\/3, 4\/139, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-10115)*(-545)\/327\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9664.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/4 - 4*g + 1. Let z(a) be the first derivative of v(a). Let h(n) = 2*n. Calculate z(h(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**9)**(-24)*g\/g**(-4\/3)*g**(2\/13)*g assuming g is positive.\nAnswer: g**(-9224\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-13)*z)\/(z**(2\/15)\/z))\/(z*z**(-1\/5)*z)**(3\/31))**(-4\/23) assuming z is positive.\nAnswer: z**(19172\/10695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*f**3*z + 394*f**3 + 401*f**2*z - 7*f**2 - 691*f*z - 4*f + 23728*z wrt f?\nAnswer: 84*f*z + 2364*f + 802*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q - 7. Let y(v) be the first derivative of 3*v**2\/2 + 4*v - 52. Give -3*m(r) - 5*y(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 6\/5, -0.5, 6, -4 in decreasing order.\nAnswer: 6, 6\/5, 0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o - 2*f, 13 = 5*o - 3*f - 2. Let k(u) = u**3 + 3*u**2 - 4*u + 1. What is the common denominator of 3\/(-6) + (-2 - -1) and k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109\/3 + 36. Let x(h) = 3*h + 3. Let j be x(-2). Let m = j + 0. Which is the biggest value? (a) m (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36786 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Let p = -31 + 127\/4. What is the nearest to j in 0.4, -4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.319 and 34016.5784.\nAnswer: 34016.8974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/13 - -5\/13. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8004397*x**2 - 1491733 wrt x.\nAnswer: 16008794*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155805 is divided by 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*a = 130*a - d + 43670, -7*d + 109184 = 5*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-203)\/35 - -5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/9, -2, -9\/55 in increasing order.\nAnswer: -2, -0.5, -2\/9, -9\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q**2 + 94*q - 11. Let p be l(-6). Suppose 4 = v, 4*v - p = 4*r + 19. Let m(n) = 24*n**3 + 2*n**2 - 1. Determine m(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19447\/4 - -4887. Let z be (0 + 17 - -1) + -2. Calculate the common denominator of a and (-150)\/9*(-9)\/z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l. Let k be (8 - 11)\/(-1 - l). Solve 5*r + 15 = -4*c, 6*c + 13 = 4*c + k*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -111*l - 630 - 2084 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 times 0.1?\nAnswer: 76.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3216776 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*a + y, 0 = 2*a - 0*a - 5*y - 63. Let g = 341 - a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/2 - ((-136)\/(-14) - (-298)\/1043).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*r**4 + 91*r**4 + r - 48*r**4 + 1 + 2*r**3 to j*r**2 + z*r + s + l*r**3 + w*r**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*a*a)\/(a\/((a**(-7)\/a)\/a)))**1*(a**(1\/2)\/a)\/(a*a**(-2\/9))*a**2\/(a*a**(-2\/5)*a) assuming a is positive.\nAnswer: a**(-1249\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 56 = -4*t, 0*t - 4*t + 40 = -b. Suppose 605 = t*m - 259. Calculate the greatest common divisor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.45371 to two dps.\nAnswer: -17.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, 31, 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -839*o**2 + 5035*o - 26. Give r(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 75a - -1?\nAnswer: 75b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(7\/(-36)) - (185 + -189). Let l = 0.018 - -3.982. Sort 0.5, y, l in ascending order.\nAnswer: y, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)*t\/t**(-2\/11)*t\/(t*t*(t*t**(2\/3))\/t)*t\/(t\/(t*t**(-2\/7))) assuming t is positive.\nAnswer: t**(-1333\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*w + 187 = 0, 5*r - 2*w - 145 - 106 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161013076 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8073.75591 to the nearest integer.\nAnswer: -8074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4627*b - 4699*b - 1224 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 5526, 0.\nAnswer: -12, -4, 0, 5526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xifi when four letters picked without replacement from {k: 1, f: 1, i: 2, x: 1, t: 2, d: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20*o + 1. Let x(b) = -151*b**2. Give y(x(l)).\nAnswer: 3020*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2, 3*p - 5*b + 3*b + 7 = 0. Let a be 3\/6*(-96)\/p. What is the highest common divisor of a and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**2 + 9. Let z(f) = 3*f**2 - 4. Let k be (-12)\/9*3 - 1. Determine k*z(t) - 2*i(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 767731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -91. Let k = l - -51. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, -108, -151, -220, -321, -460, -643, -876?\n\"Answer: -x**3 - 4*x**2 - 4*x - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 21782.\nAnswer: 65346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 22 = -5*o - 5, 4*o - 1 = -5*s. Suppose 5*t = t - o. Let j be t\/(-6) + 2\/(-60). Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 13*u - 16. Give f(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*t**2 + 259*t - t**3 + 544*t**2 - 368*t**2.\nAnswer: -t**3 + 259*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 7.1.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*s = 291*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/(-12))\/((-2)\/(-3)). Let h be 0*1\/z - 3. What are the prime factors of (1\/(-3))\/(2\/(-84)) - h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(4\/5)*c)**(4\/5)*c**(-6\/17)\/c**10 assuming c is positive.\nAnswer: c**(-3108\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -52*l**2 - 747*l + 10. What is y(-15)?\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2. Give x(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 8 = 4*f, -3*f + q - 7 = -4*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 = 2*r. Suppose 5*u - 20 = r*v, -v - v + 2*u = 8. Solve v*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89799, 179449, 269109, 358785, 448483, 538209, 627969?\nAnswer: 717769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -0.3, 12.4, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(207\/9 - 5). Put -3, 1, 5, i in decreasing order.\nAnswer: i, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -17 - -15 - (0 - 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/20*2 + 309\/120.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -5*m**4\/24 - m**3\/6 - m**2\/2 - 29*m + 55. Let w(h) be the second derivative of o(h). Suppose 6 = 3*x - 3. Give w(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*y + 24 = 0, -33*y = -35*y - 18. Solve -z*c + c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/91 and (-2)\/4 - 4*(-714)\/(-5824).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:13 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u**33*u*u)))**(-2\/35) assuming u is positive.\nAnswer: u**(-68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 28*c - 84. Give t(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*p + 15120710*l**3 - 18236*l**2*p + 50*l*p wrt p.\nAnswer: 3*l**3 - 18236*l**2 + 50*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146328 and 25536.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -9. Let c(p) = p**2 + 15*p + 17. Let y be c(w). Let s = y - 1. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 52*g + 376. Determine u(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97936 and 1168.\nAnswer: 7149328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - 2*o**2 + o**2 + 2*o - 2*o + 2*o**2 + (-2 + 0 + 1)*(o + o**2 - o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166337.5817 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose 0 = -5*n + d + 3, 3 = -2*n - 3*d + b*d. What is the second derivative of 2*g + n*g + 2*g**2 - g wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -29*i**7\/14 + i**4\/12 + 14*i**2 - 6*i. Find the third derivative of v(k) wrt k.\nAnswer: -5220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) -12 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 605*o + 370197. Determine c(377).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678960.\nAnswer: 2, 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.05 + 25.05. What is the third smallest value in -2\/19, -187, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 73 = -46. Calculate the lowest common multiple of c and (8\/2 - 1)\/1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -225*m + 13944. Give d(62).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 4, i: 1, y: 3, f: 4}. What is prob of sequence yi?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92934, -185019, -277106, -369195, -461286, -553379?\nAnswer: -645474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**5\/15 + 5*s**4\/12 + 7*s**3\/3 + 23*s**2\/6 + 8*s\/3 + 3. Solve p(d) = 0 for d.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = -3*t - 4*d, 6*d = 5*t + 9*d - 1084. Calculate the greatest common divisor of 172 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 2745.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v**18)\/(v**(-6)*v**(6\/11)) assuming v is positive.\nAnswer: v**(225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 8) in base 2?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -887*b**2 + 100*b + 171. Let x(m) = 166*m**2 - 20*m - 34. Give 16*x(p) + 3*z(p).\nAnswer: -5*p**2 - 20*p - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 = -16. Suppose -y + 3*m = -5*y + 32, 5 = -3*y + b*m. Solve y - 11 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 2*u - 1 - u. Let s(w) = -14*w**2 - 14*w + 1. Let x(r) = -l(r) - s(r). What is the second derivative of x(j) wrt j?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyk when three letters picked without replacement from drrdddddddydydkdkdd.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*g - 2*o, 3*g - 4*o = -0*o + 23. Let r be 0*5*g\/5. Which is the third smallest value? (a) -1\/3 (b) 0.5 (c) r (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p. Let b = p + 7. Let c(q) = q + 1. Determine c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, -1, 5\/4, 1.2 in descending order.\nAnswer: 251, 5\/4, 1.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27168.000031702 - -27168. Round t to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5604 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717 divided by -239.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2\/6 - 1755*i\/2 - 74240\/3 = 0. What is i?\nAnswer: -1024, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**0)\/(a\/a**(1\/3)))**25*a*a**(5\/2)*a*a**(2\/17)*a**(-2)*(a**0\/a)\/a assuming a is positive.\nAnswer: a**(3463\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*23*3159\/6318.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -23 - 1. Let j(x) = -3*x + 6. Is j(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + 1*sqrt(1573)) + -3 + -1*sqrt(1573) + 3)**2.\nAnswer: 660*sqrt(13) + 56653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11242404143 - 0?\nAnswer: 11242404143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -667, -665, -661, -655, -647, -637, -625?\n\"Answer: h**2 - h - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 5872448.39 and -20.\nAnswer: 5872428.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 470133047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*z - 7 = -4, 2*s - 2*z = 46. Suppose s*b - 70 = 12*b. Calculate the highest common divisor of 65 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 30 = -15*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1566847 and 2.3.\nAnswer: 3603748.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 28. Suppose -u*t = -129 - 971. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2493616\/97 - 25708. Is h less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -2. What is the lowest common multiple of u and 106?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -11*g**3\/6 - 5*g**2 - 12*g. Differentiate d(n) wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*b - 557 + 411, 0 = -3*b - 5*x - 127 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2455583*f**2*h*m*z**2 - f**2*h*m*z - 2*f**2*m - 19*f*h*m + 2*f*h*z - 61*f*z + 2*h wrt z?\nAnswer: 4911166*f**2*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*2)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2677 - -2680. Let p(n) be the first derivative of -n**4\/4 + n**3 + 4*n - 2. What is p(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, v: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167425.3 - -167425. Let q be 3\/(-2)*(-2)\/(-6). What is the nearest to 1 in z, 0.2, 3\/4, q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49770 or -49761?\nAnswer: -49761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/21 + 6808*q**4\/21 + 1928932*q**3\/7 - 11594024*q**2\/21 + 5800418*q\/21 = 0.\nAnswer: -1703, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2217?\nAnswer: -2\/2217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 35908288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezzz when four letters picked without replacement from {x: 2, e: 1, u: 2, c: 1, z: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 1 - 2\/3*r**3 + 1\/5*r**5 + 0*r + 0*r**4 + 0*r**2. What is the third derivative of i(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 0.4, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23533868233 and -0.1?\nAnswer: 23533868233.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/5)\/((-5)\/(-25)). Let j be (1 - 2\/o)*3. Suppose 7 = 2*f - 4*z - 1, 0 = -4*z - j. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let t be (k\/(-3))\/(10\/(-6)). Let l(y) = 3*y**3 + 16*y**2 - 10*y + 17. Let g be l(-6). Which is the closest to -1\/3? (a) t (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 22. Let y be (369\/(-6))\/(x\/(-400000)). What is y rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o = 54*o - 28620. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + 4*u)*(134 + 245 + 57) - 4*u - u + 2*u.\nAnswer: 1741*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16224 and 5408?\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9783963 is divided by 611496?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 4*f + 1. Let j be c(2). Suppose -3*q - j + 19 = 0. Suppose 0 = 2*z + 3*z - 40. What is the lowest common multiple of z and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 1888 = 1384. Solve -40*h + s*h = 3*w - 2, 4*w - h + 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*u - 239 - 25, 5*h + 4*u + 477 = 0. Let a = 236 - h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74781121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 86190\/9 + -2. Suppose i = 4*p + 4651, -3*p = 4*i - h - 8991. Suppose q - 37357 = i. Round q to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002486766533 to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 - 3*c**2 + 3*c**2)*(-25*c - 1 + 24*c - 12*c) to the form o*c**3 + j*c**4 + r*c + f*c**2 + z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c + 1. Let n be x(-1). Let y = n - 44. What is the tens digit of (-4 - -1) + (-7)\/(y\/480)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12515 is divided by 430.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/21 and ((-292)\/(-16) + -3)*-6*(-3)\/1386.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3\/3 + 2416*i**2 + 108240*i + 3593216\/3 = 0.\nAnswer: -22, 1856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 556039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/9 + (-94)\/18 + -3. Let t be (1\/2)\/(1*f\/80). Let n(k) = k**2 + 6*k + 5. Give n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -4*y + 34. Let d = 6164 + -6153. Calculate the least common multiple of d and y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1063, -2119, -3173, -4225?\n\"Answer: y**2 - 1059*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 144\/833, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201100021 (base 3) in base 5?\nAnswer: 422401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b - 50*b + 23292 = 0. List the prime factors of b.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let q be 1\/4 + (-21)\/(-12). Suppose 5*f + 2*b - 8 - 5 = z, -2*b = q*f - 4. Solve 5*h + 3 = 2*d, 2*h + 1 = f*h - 2*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 9*l + 9. Let a be g(8). Let w(i) = 3*i**3 - i**2 + 1. What is w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.12 (b) -21 (c) -2\/37 (d) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 1 + 3*v)*(1822*v**2 - 3*v**3 - 1822*v**2 + 8).\nAnswer: -9*v**4 - 6*v**3 + 24*v + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1962\/(-3815)*(-10)\/(-4) + (-3 - -14). Factor -2 - c*n + 10\/7*n**2.\nAnswer: 2*(n - 7)*(5*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let q(m) be the third derivative of -7*m**5\/5 + m**4\/24 + 1698*m**2. What is q(j(u))?\nAnswer: -84*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 330389 + 5*a - 330386 + 660775.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -2, -110404 in descending order.\nAnswer: 5, -2, -4, -110404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9420 - 9425. Which is the nearest to 1\/5? (a) -0.052 (b) f (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = 3*r, 24 = -5*m - 3*r + 49. Let w = -2 - -5. Put 2, m, w in decreasing order.\nAnswer: m, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3617? (a) -3 (b) -5 (c) 0.3 (d) 0.006 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 666660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4288*r**2 + 256*r + 17. Let n(t) = -1429*t**2 + 93*t + 6. Determine 4*h(o) - 11*n(o).\nAnswer: -1433*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*x + 573*x + 576*x - 1717*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*t**2 - 13*t**2 + 70*t**2 + 33*t**2.\nAnswer: 137*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 f when four letters picked without replacement from {g: 3, f: 1, d: 7, a: 3}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5\/9)*s**14)**(-10) assuming s is positive.\nAnswer: s**(-1400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 6*j + 2*w - 6 = 0, 0 = -3*j + 5*w - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 26 - 22. Let y be 1012\/24 - 4\/z. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 63*q + 485. Give s(-11).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 53 = 4*i, 4*i + w = -3*w + 56. Suppose 15*m = i*m + 152. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -25, -81, 1\/6, 6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/336 and 5\/56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 2154 = 1410. Let c = 168 - s. Let l(o) = 4*o - 4. Let d be l(4). Solve -4*m = 4*w - d, 4*m = -2*w + 7*m + c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d*l**4 - 86*d*l**3 - 3*d*l**2*u**2 - 17*d*l**2 + 4*l**3*u**2 + 10*l*u**2 wrt l?\nAnswer: 216*d*l - 516*d + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.4 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7791 - -1275?\nAnswer: 9066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:32 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**4\/2 + t**3\/3 + t**2\/2 - t + 9. Let b be s(1). Solve b*k - 3*j + 24 = 4*k, 0 = 4*k + 2*j + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*o - 21 = 0, -a + 2 = o - 1. Suppose -7*h + 449 = -496. Suppose 3*v - h = -0*v. Solve 7*t = 3*t + a*y - v, -5*t - 4*y = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - i = -2*i - 20, -2*i = 2*c - 20. Let v = 3 + 2. Suppose -20 = -0*n - v*n. Solve 5*r + c*q = 10, -n*r = -3*q - 16 + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55641 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, e: 6, l: 2, q: 1, d: 4}. Give prob of sequence eldl.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*u**4 - 216725*k*u**3 - k*u + 31*k - 255*u**2 - 2*u wrt u?\nAnswer: 48*k*u - 1300350*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -23*o**3\/6 - 3*o**2 + 6*o - 27. Let l(a) = 45*a + 11. What is -6*l(d) - 11*t(d)?\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2528 - 2440. Solve -23*o - 27 = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from tehteteetttttt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(171) + sqrt(171) + -1*2*sqrt(171))\/(sqrt(81)\/sqrt(144)) + -2)*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1365, -1369, -1375, -1383, -1393, -1405, -1419?\n\"Answer: -p**2 - p - 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 35*f**2 + 54*f + 1. Let h be k(-37). Let g = h - 569. Suppose b + 70 = 3*b. Calculate the remainder when g is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1250\/3 + 4052\/3*l**2 - 1556\/3*l**3 - 2\/3*l**5 - 3850\/3*l + 106\/3*l**4.\nAnswer: -2*(l - 25)**2*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/8 - 17781*y**2\/4 - 319815*y\/8 = 0. What is y?\nAnswer: -11845, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 72, -22676 in descending order.\nAnswer: 72, 8, -22676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 1.14007.\nAnswer: -0.912056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/8 - 29547*q**3\/4 + 59103*q**2\/2 - 29553*q.\nAnswer: -3*q*(q - 2)**2*(q + 19702)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 106, 121, 152, 205, 286, 401?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - 1 - 7 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21791057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1 = -3. What is the remainder when 13 is divided by q\/(-3) - (-160)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 13*w - 18 = 0. Sort w, 3, 4 in increasing order.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33647, 67449, 101573, 136181, 171435?\n\"Answer: 27*l**3 - l**2 + 33616*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2982 and -1\/84.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p + 14*p = -2 + 2. Let g = 18 + -86\/5. Are p and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -11. Let b be 3 - (-2)\/(1 - l). Is 19 a factor of b - (-2)\/((-2)\/(-17))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5787.603l to millilitres.\nAnswer: 5787603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 321, 300, 257, 186, 81, -64?\n\"Answer: -m**3 - 5*m**2 + m + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 45 - 173 - 47*a - 211 - 99 + a + 0 + 0 + (-3 + 1 + 3)*(2 - 2 + a) as w*a + q and give q.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 18*q - 19. Let u(f) = f**2 + 18*f - 18. Let t(i) = -4*m(i) + 3*u(i). Let j be -1*(-11 + -18 - -48). What is t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-49 - -85) + 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*u - 7 + 17, 2*a - 55 = -3*u. Suppose 0 = -8*t + 12 + a. Find the second derivative of -28*n - 36*n**4 - 3*n**4 + 13*n**4 - 7*n**t wrt n.\nAnswer: -396*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1326 - -1326. Factor 6\/17*z - 6\/17*z**3 + 2\/17*z**4 - 2\/17*z**2 + k.\nAnswer: 2*z*(z - 3)*(z - 1)*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 - 1. Let l be q(-2). Let v(g) = -g**2 - 3*g + 4. Let h be v(-5). What is the units digit of 230\/18 - h\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:04 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**2 - 153*v - 127. Give g(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 13)*(-8*h**2 + 33*h - 33*h) + 4*h**2 - h**2 - 4*h**2.\nAnswer: 95*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -21, -19, -17, -15, -13?\n\"Answer: 2*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60632)\/(-22737)*(-3)\/(-8)*(-5)\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 - 25*k**2\/6 + 211*k\/3 + 156.\nAnswer: -(k - 13)*(k + 2)*(k + 36)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a + 191?\nAnswer: 1fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-5 - -1) + 3 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 381221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15809 = -5*v - 3*k - 6084, -2*v + 3*k = -3911. Suppose 13*p = 9*p + v. Suppose -3*l + p = -4*b - 327, -b = l - 262. What are the prime factors of l?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10056, -9588, -8802, -7698?\nAnswer: -6276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h - 2*h**4 + (-3*h**2 + 4*h**2 - 3*h**2)*(-51*h**2 + 430*h - 430*h) + 0*h**2 + 3*h**4 + 0*h**2.\nAnswer: 103*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56161, -9, 6 in descending order.\nAnswer: 56161, 6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-435)\/(-72) - 0) + (-50)\/20 and 155\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 5\/6 (c) -2\/11 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x - 1. What is u(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10323653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 24 + 7 - 16 - (-50 - 2 - 4).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16037119\/29607 + -2\/9869. Let a be (-1662)\/4*(-8)\/(-6). Let f = x - a. What is the common denominator of -67\/2 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -20*r**2 - 2939*r + 261. Calculate m(-147).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -69664?\nAnswer: 57\/17416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:22 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = n + 2*a - 2, 4*n + 3 = -5*a. Let i = n + 23. Let o(l) = -l**3 + 25*l**2 + 34*l + 20. List the prime factors of o(i).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 14. Let z be ((-3)\/(-2))\/(d\/8). Suppose z*o + 57 = 383. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-101739)\/(-12))\/((-120)\/(-480))?\nAnswer: 11, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let g(c) = 20*c + 24. Let q(p) = -g(p) - 24*k(p). Let s be q(4). Solve 4*m = -j + s, -2*m - 4*j + 0*j = 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.797984 + -5.005. Let t = 0.207 + x. Round t to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2155 or -1\/6118?\nAnswer: -1\/6118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 78 = -4*g - 2*i, 0 = 3*g + 4*i - 86. Suppose -2*j - 7 = -k - 9, 4*k - g = -2*j. Which is greater: 12\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*y + 7. Suppose 0 = -5*o + 15, y*a - 9 - 1704 = 2*o. List the prime factors of a.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 413 = 3*k + 6*j, 5*k - 2*j = 740. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -31. Let a(i) = i**2 + 163*i + 6419. Let o be a(-65). Calculate the highest common divisor of f and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**2 - g**4 + 5*g**4 - 28*g**2 - 4*g**2 wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-6)\/(-2))\/(-3))\/(-1). Let v be -1 + 1 - (-1 + i). Suppose k - 5*y - 30 = v, 0*k + 3*y = -3*k + 108. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k + 701. Let z(w) = -3618*w**2. Give v(z(i)).\nAnswer: -54270*i**2 + 701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56043376 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 958546901 a multiple of 4119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 14*x - 7*x = -0*n + 7*x - 26*x + 14, -34*x = -n + 240 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2081639, -2081631, -2081617, -2081597?\nAnswer: -2081571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r*(r\/r**2)\/r*r)\/r)*r)\/(r\/r**(-16)*r))**3 assuming r is positive.\nAnswer: r**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -58. Let s be 1058*(-3)\/m*-1. Let u = 743 - s. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + p = 4, 4*b - 3*p + p + 14 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557363 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + 0.7. Let i = 1.5 - 1.59. Let m = i + 5.09. What is the biggest value in m, 4, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0*l**3 - 5 + 37\/6*l**4 + 0*l**5 + 3*l**6 + l + 0*l**2. What is the third derivative of h(v) wrt v?\nAnswer: 2160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1449*c - 1498*c - 508*c + 4 - 5 + 225*c in the form d + x*c and give x.\nAnswer: -3230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p - 5*p - 6 - 2*p - 1. Let x be j(-7). What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and ((-150)\/100)\/((10\/(-12))\/5).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 48*u - 449. Calculate i(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6432)\/(-2720))\/(-67)*20\/(-6). Sort -8.3, u, -2\/19 in decreasing order.\nAnswer: u, -2\/19, -8.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*j - w - 16, -5*w = 5*j - 100. Suppose 16*f + 51 = j*f. Suppose 12*x + 21 + f = 0. Is -7 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8546, -8, -0.4 in decreasing order.\nAnswer: 3, -0.4, -8, -8546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*s + 30. Suppose -2*b + 10 = -14. Calculate the remainder when b is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = n + 8 + 4, 4*n - 4*k = 0. Suppose 0*a + n*a + 1 = -g, -8 = -a - 2*g. What is the remainder when 12 is divided by (-10)\/(4*a\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 7:48 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from zddhzghtzgdzhjd?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from mimii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/9)*z)**(2\/11)*z**0\/((z*z\/z**(1\/7))\/z*z*z) assuming z is positive.\nAnswer: z**(-1756\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18*(-4 + 20\/4). What is the third smallest value in g, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1043\/2 + -530. Are -0.1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x + 10887 + x**3 - x**4 - 12*x**2 + 5*x**3 - 10890.\nAnswer: -(x - 3)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1032630*s**3*v**3 - s**3*v**2 + 2*s**3 + 20398*s*v - 7*s + 1 wrt v.\nAnswer: -6195780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - -0.29. Let x = -0.7 + g. Let k = 267 - 263. Which is the third smallest value? (a) x (b) -3\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2. Let f(s) = 375*s + 975. Let p(j) = -7*j - 18. Let k(c) = -6*f(c) - 325*p(c). Give d(k(i)).\nAnswer: 1875*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/5, 61969, -5, 0.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**4 + 5*q**3 + 8*q**2 - 5*q. Let z(o) = o**4 + 2*o**3 + 3*o**2 - 2*o. Let a be (0 - 388\/76) + 12\/114. Let y(d) = a*z(d) + 2*f(d). Factor y(s).\nAnswer: -s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m. Determine l(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12103 (base 4) to base 10\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -11. Let u be (-4 + 0)\/(-1 + -1). Suppose 0 = -a - u*a + g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 2782?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37663121109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let i = -61886 + 61885. Let r = 0.09 + -0.79. Which is the closest to i? (a) 5 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + sqrt(7) - (-2*sqrt(7) + -1).\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100102 (base 3) in base 8?\nAnswer: -1727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874561 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + -55*8\/(-120). Let f be (r\/(-21))\/(1\/(-7))*0. Let z(w) = w + 4. Calculate z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 2)\/((-2)\/(-2)). Suppose -x*n + 6 = -6. Let d(y) = -4*y**3 + 4*y**2 + 2*y**2 + 3*y**n + 6. Give d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.73 + 8. Let t = w + -0.38. What is t rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 457 (b) -1\/3 (c) -5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 706382 or 706381?\nAnswer: 706382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h + 30 = 4*s, -4*h + 3*s - 55 = 0. Let f = 5 - h. Suppose -3*l + l = -f. Calculate the highest common factor of l and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbeeeebebbeebebbeb. Give prob of sequence be.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3516299 and 6589859.\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*((n**2*n)\/n)\/n*n)\/(n*n**(-1))**(-36)*((n**(-1\/4))**46)**(-1\/11) assuming n is positive.\nAnswer: n**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*z + 464312 - 464315 = 0, 3 = 5*d - 4*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9)\/90*5)*-8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 25. Suppose 5*v + 4*s = r, 0*s - 2*s + 7 = v. Differentiate 5 + 2*x**3 - 3 + 2*x**v - 2*x**3 wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -223, -235, -247, -259?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 734000 and 500?\nAnswer: 734000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -15) + -22 - -22\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 3, s: 4, c: 3, l: 4}. What is prob of picking 2 c?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -35, -42, -51?\n\"Answer: -l**2 - 2*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -12\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.2968 to one decimal place.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055750 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.142 - -0.058. Which is the nearest to -6\/5? (a) -0.5 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1. Let h(n) = n + 586. Calculate 3*b(u) + h(u).\nAnswer: u + 589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178274 is divided by 7358.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = k + 43, k - 4*q + 31 = -24. Let t be k + 50 + (2 - 174\/34). Put 2\/15, -2\/3, t, 0.01 in descending order.\nAnswer: 2\/15, 0.01, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + -3. Let j = i - -1.4. Let u = -11 + 10.5. Which is the biggest value? (a) -4 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 12*u**2\/23 + 7341982*u\/23 - 8565662\/23 = 0?\nAnswer: -611833, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/(1\/(-35)). Let y be ((-36)\/f)\/((-1)\/7). Calculate the greatest common factor of y and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:46 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v - 18. Give s(-16).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**5\/12 + 13*r**4\/24 - 9*r**2\/2 - 11*r. Let a(y) be the first derivative of t(y). Find the second derivative of a(h) wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 5. Let t be (-58)\/(-10) + (-1)\/(-5). Suppose -3*b = -2*u - 11, 0 = -u + 2*u + 4*b + 22. Let p = t + u. Determine a(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -87?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13457577? (a) 4 (b) -0.5 (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 21*s**2 + 29*s - 1327. Determine v(-25).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -7cbc2a0?\nAnswer: 7cbc2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + -7.02. Let n = m - -6. Let a = 67\/5 + -489\/35. Sort -8, n, a in ascending order.\nAnswer: -8, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*i = -6509 + 6285, -4*i - 228 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 14*n**2 - 14*n**2)*(-1 - 2 + 5) - 28*n**3 + 17*n**3 - n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -65, -176, -395, -758?\n\"Answer: -6*u**3 + 3*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.70559 rounded to 2 dps?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -85*s - 2691. Determine g(-31).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. Let o be (1\/2)\/(h\/(-4)). Suppose -2*p + 10 = 0, p + 8 - o = s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3. Let a = 188 - 156. Let h be 4\/(-10)*(-80)\/a. Let v(x) = -x**2 + x + 1. Calculate h*t(l) + v(l).\nAnswer: -l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9324490967739 and -12.\nAnswer: -9324490967751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424939?\nAnswer: 424939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 300433851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 4, -3, -48880, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*t - 31*t + 31*t**3 + (2*t - 12*t - t)*(-3*t**2 + 2 - 2 + (-3*t - 2*t + 3*t)*(3 + 2*t - 3) - 3*t**2 - t**2 + 2*t**2).\nAnswer: 130*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1738)\/(-54))\/11 - 3)\/(15\/765).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - -241689\nAnswer: 241725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/5 (c) -9 (d) 5 (e) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071287389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132) + sqrt(33) - sqrt(3300)*-3)\/(sqrt(11) - sqrt(66)\/sqrt(150) - sqrt(110)\/(sqrt(10) + (sqrt(10) - sqrt(50)\/sqrt(5)))).\nAnswer: -175*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*g - 25 = 0, -16*g = -4*x - 18*g - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 3*p + 3. Suppose -4*w = 14*n - 9*n - 234, -5*w + 143 = 3*n. What is the remainder when n is divided by s(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -44428 = -44428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i + 4. Suppose -2*p - i*p = -5*p. Put 19, 4, p in descending order.\nAnswer: 19, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2. Let f(k) be the third derivative of -1\/60*k**5 + 0*k**4 + 0 + 0*k + 0*k**3 - 2*k**2. What is d(f(g))?\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = 360. Let l = 39 + -49. Find the common denominator of (9 + l)*o\/44 and 119\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/(-22))\/(3\/26) + 2. Suppose -l*x + 36*x + 105 = 0. Put x, -11, 2 in ascending order.\nAnswer: -11, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-8) + (-6)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/10 of a meter?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10649 + 17769. Suppose -24*l + c = -16*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 3. Let t(z) = 4*z**2 + 4. Let v(u) = 2*l(u) + 3*t(u). Differentiate v(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 7 (b) 12 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10253 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*sqrt(264)\/(sqrt(6)*-3)*-2.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) - (-4 + sqrt(153) + 2 - sqrt(153))))**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*c = -14, 4*c + 8 = 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:39 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5896 - 5884. Calculate the remainder when 511 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 0, 347 in decreasing order.\nAnswer: 347, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 2 + -4 + (5 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*u + 220*u = -7*u - 60676 for u.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -156, -308, -516, -780?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 87. Let t = -0.2 + 0.3. Let y = 0.2 - t. What is the nearest to y in 1\/2, 1\/5, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/7))**(7\/9)*(h*h\/((h\/h**(-8)*h)\/h)*h)\/(h*h**(-1\/8)*h*h))\/((h**(2\/9)*h)**(2\/31))**(-11\/4) assuming h is positive.\nAnswer: h**(-17093\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1549*v**2 + 6*v. Let s(z) = -2*z. What is -r(g) - 3*s(g)?\nAnswer: -1549*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from fccff?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32530, 66900, 101270, 135640, 170010, 204380?\nAnswer: 238750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3008*a**3 + 8*a**2 + 3*a + 2. Let k be n(-6). Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 885*f**2 - 4*f**3 - 885*f**2 + 13*f.\nAnswer: -4*f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) -0.5 (c) 6 (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 10*p + 119 = -12*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*t + 10 = 0, -5*b - 4*t + 2 + 0 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*g**4)*g\/g**(-19)*g)**(-1\/2) assuming g is positive.\nAnswer: g**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54, -111, -166, -219, -270?\n\"Answer: u**2 - 60*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y. Let s(o) = -o - 1. Let v(l) = 2*l - 4*l - 3 - l + l. Let a(d) = 6*s(d) - 2*v(d). Calculate a(t(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2171 times 0.5\nAnswer: -1085.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -301334155?\nAnswer: -301334144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3124\/37 or -83?\nAnswer: -3124\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2388*k**2 + 2388*k**2 + 24*k**3 - 17*k wrt k.\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14*8 + 2. Let n = -1243\/5 - -240. Let s = n + 807\/95. What is the smallest value in s, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137, -136, -137, -140, -145?\n\"Answer: -c**2 + 4*c - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + 5*u - 8*u + 2 + 3 + 3*u**3 + 6*u. Let q(g) be the third derivative of -g**6\/120 + g**4\/8 + g**3 + 2*g**2. Calculate 4*f(i) - 3*q(i).\nAnswer: -i**3 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnee when four letters picked without replacement from nnennennnnnennneen.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) - 118\/(-8). Determine h, given that -1 + 12*h**2 + 1 - 3*h**3 - a*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 38.23044?\nAnswer: -38.33044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**2*t\/t**2*(t**(2\/7))**(-7)*(t**(1\/2)*t*t*t\/t**(-1\/5))\/(t\/t**(-2\/3))**(4\/23) assuming t is positive.\nAnswer: t**(-407\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -80?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 112*v + 1770.\nAnswer: -2*(v - 15)*(v + 295)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425 (base 7) to base 3.\nAnswer: 21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1)\/5*100\/(-40)*14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (-3 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.2 (c) -26 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11968543, -11968555, -11968581, -11968627, -11968699?\n\"Answer: -o**3 - o**2 - 2*o - 11968539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + (65 + -1 - 8) + (1 - 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 4\/9 (c) -4 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -14. Suppose k = 4*s - 3*i - 21, s + 0*i - 4*i - 2 = 0. What is the units digit of s + (-4 - -1) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let j(i) = 28*i**2 + i + 0 - 4 + 7*i**2 + 3. Is j(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 18210678\nAnswer: 127474746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(2 + sqrt(99)*-2 + sqrt(99)) + -2 - (sqrt(99) + sqrt(99) + 2 + -5 + -1)*-5)**2.\nAnswer: -2184*sqrt(11) + 17520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -22*x**2. Let g(p) = 78*p**2. Give g(i(j)).\nAnswer: 37752*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + 4*1. Suppose 2*i - 18 = -5*g, 0*g = 5*i + 4*g - 11. What is the units digit of 1*i*w*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 13 = l, 2*l - 28 = -6*h + h. Let r(z) be the second derivative of -z**4\/12 + 3*z**3\/2 - z**2 + z. Is 16 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*(-16)\/4. Suppose 4 = y*a - 0. Let v(h) = h - 2. What is v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u + 1. Let h(o) = -3*o - 2. Suppose 21*a = 210*a + 756. What is a*b(m) - 3*h(m)?\nAnswer: -4*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*s = 1491, 7*p - 3*p + 5*s = 1943. Calculate the greatest common divisor of p and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 11*d**5\/60 + 5*d**3\/6 - 5*d**2. Differentiate s(i) with respect to i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5088 is divided by 244.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/193 and 57\/25.\nAnswer: 4825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) + (-2)\/9*-12. Let -6*v**z + 8*v + 67*v**3 + 32*v**2 - 37*v**3 + 14*v**4 + 2*v**5 = 0. What is v?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 4*i**2 + 67*i - 188. Calculate x(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2834 + -1120. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*x + 5*x + 12*x)*(-2 + 0 + 1 + (-2 + 4 + 0)*(0 - 1 + 0) + (-9 + 0 - 3)*(4 - 4 + 2)).\nAnswer: -1053*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12088 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + r**2 - 3*r**2)*(-5527*r + 10 - 7 + 5439*r) in the form m*r**2 + l + c*r + u*r**3 and give u.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/11 + 695889*w\/11 - 3479470\/11.\nAnswer: (w - 5)*(w + 695894)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7818 + -7813. Which is the closest to 7? (a) -3 (b) -17 (c) -4\/9 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = w - 3, -3*w - 4*b = -12 + 3. Let z(t) = t**4 - 3*t**3 - 2. Let q(i) = i**4 - 2*i**3 - 1. Let s(f) = w*q(f) - 2*z(f). Differentiate s(n) wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 422 + 45 = 3*z, 2*z + 243 = p. Let x be (z\/6)\/((-6)\/9). Let v = x - 16. Calculate the greatest common divisor of v and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**3 + 2*q - 3. Suppose 3*v + 12 = h - 6*h, v = 2*h + 7. What are the prime factors of g(h)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 380267?\nAnswer: -14\/380267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16 and -28254546219.\nAnswer: -28254546219.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-32)\/s*s)\/(s**(1\/7)*s))**(-9\/5))**25 assuming s is positive.\nAnswer: s**(10440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9088 = 193*h + 562 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ca1 (base 14) in base 11?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1*sqrt(637)*-2 - sqrt(637)) + 0 + (sqrt(637) - -1*sqrt(637)) + sqrt(637) + -2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20923 or -20922?\nAnswer: -20923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 107798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 + 58*l + 55. Calculate y(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**6\/150 - 13*x**5\/50 - 2*x**4\/5 + 13*x**3\/15 + 5*x**2\/2 - 47*x + 3. Find n, given that o(n) = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2889 = i + 3719, -2*h - 5*i = 2657. Round h to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + k + 13, -4*h + 0*k - 5*k = 8. Suppose -h = -6*m + 3. Let t(u) = u - 1 + 3 - 1. Let n(y) = -5*y - 4. Give m*n(c) + 6*t(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 8:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**4\/3 + v**3\/2 - 16*v**2 - 24*v. Differentiate a(h) with respect to h.\nAnswer: -8*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -5, -6727, -6, 3 in increasing order.\nAnswer: -6727, -8, -6, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14383327, 14383328, 14383331, 14383336, 14383343, 14383352?\n\"Answer: f**2 - 2*f + 14383328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 + 3*n + 2. Let g be a(0). Let y = 0 + 0. Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + u**2 + 3*u**2 - u - u**2 + u + (-u + u + 2*u)*(-2*u + u - 2*u) + 0*u**2 - 8*u**2 + 2*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (1 - (-4 + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 9*n. Let m(i) = -499*i**2 - 33*i + 3. Determine m(d) - 4*o(d).\nAnswer: -491*d**2 + 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -172950 divided by -50?\nAnswer: 3459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 = -z + 12, -2*p + 24 = -z. Suppose d - 5 = t, -d = 3*t + 3*d - p. What is the units digit of t\/6 + ((-2058)\/(-36))\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 596 + -1?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*u + 46972 = 0, -8*u + 7*u - 187993 = -4*y. List the prime factors of y.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0 (c) 3\/2 (d) -0.18 (e) 1\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -2654849.\nAnswer: -2654849.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i**2 - 2*i + 5. Let b be s(3). Let h be b + (2\/4)\/(2\/12). Let f = h - -21. Solve -7 + 2 = -f*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 2*r - y, 3*y + 273 = -r + 3*r. Let l = r + -81. Is l at least as big as 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*(-1)\/3)\/(-2). Let i be z + 6*1\/2. What is the biggest value in i, -0.3, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -941, -7, 19 in descending order.\nAnswer: 19, -7, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 1045.04.\nAnswer: -94.0536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.8. Let y = d + 0.1. Put y, -3, 5 in decreasing order.\nAnswer: 5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24558 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 87096727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 85 = -0*v - v, v - 89 = 4*b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 1436270 = -1025111 + 1348871. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 48 = -3*m, 5*w = 2*m - 3*m - 60. Let r be (w - 1)*(-5 + 2)\/3. Suppose -r*x = -5*x - 344. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k + 44*k - 42*k - 65*k.\nAnswer: -93*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6511*l**2 + 2*l + 2. Let n(c) = -22*c. Give n(j(v)).\nAnswer: -143242*v**2 - 44*v - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*i**2 + 67*i wrt i?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2002 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 1, l: 1, y: 3}. What is prob of sequence ts?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -39*n - 195. Let r(h) = -19*h - 97. What is -2*i(b) + 5*r(b)?\nAnswer: -17*b - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 - 6 - 3*r**3 - 1 - 7*r**3 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112202 + -1?\nAnswer: 2112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5, -4*s + 17 = -s - 5*i. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67996147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -3587\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 21, -16, -121, -324, -655?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 363 (b) 2\/7 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2) + (8 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d + 4. Give i(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 3. Suppose 0 = 5*o + 3 - 13. Let x be t(o). Solve -2*p + 5 = x*l - 3*p, 0 = 2*l + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 680, 1346, 1998, 2630, 3236, 3810, 4346?\n\"Answer: -u**3 - u**2 + 676*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 19 = -3*b, 6*b - 10*b - 35 = 4*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1222507 - n**4 + 511*n**3 + 3783065*n - 3690493 + 1216635*n - 87210*n**2.\nAnswer: -(n - 170)**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 198, 2\/11, 2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-25))\/((-3)\/(-10)*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 15.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -304564946 or -304564945?\nAnswer: -304564945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48967 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (267\/6)\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Let -9*x**4 + 4*x**5 - 4*x**v + x**4 + 12*x**2 - 4*x = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31089 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/4*443310\/245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.259509 rounded to one decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -6 (c) 2 (d) 0.2 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4553 or 548?\nAnswer: -4553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o**3 + 50*o**3 + 47*o**3 - 143*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 15114?\nAnswer: 15111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c - 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-1)*(-2)\/(-4)*6*(-257641)\/(-58177).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433333588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**20)**(-47)\/(((a**(-2\/61)*a)\/a)\/(a*a**(36\/11))))**10 assuming a is positive.\nAnswer: a**(-6278510\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 373*k + 384*k - 24 - 752*k + 2*k**2 to the form w*k**2 + h*k + j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p + 150 + 30. Suppose 20 = -5*b, -4*b + 28 = x + 3*x. What is the units digit of (x\/(-3))\/(3\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 - 5*d**3 + d**3)*(-1 - 1044*d + 1142*d - 1) to the form i + k*d**3 + w*d**4 + y*d**2 + z*d and give w.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.3 (c) 29025 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209496 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 4. Let k be s(-3). Suppose -f - 3*b = 0, -5*f = -3*f + 4*b + 6. Let v be 4*f\/(-12) + -1. Is k at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343149105 by 22876607.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 2*c - 3*c, -2*z - 3*c = -5. Suppose -24 = i - 0*i. Let v = -15 - i. What is the greatest common factor of v and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.622 - -0.322. Which is the nearest to 1\/2? (a) -18 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 4*l = 30*k - 13880, 5*l = -3*k + 10400. What is the greatest common factor of k and 350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1096138956 divided by -6.\nAnswer: -182689826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3480.952 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 - 0. Let n = -6.12 - c. Let p = -1 - n. What is the biggest value in -0.4, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 12*r + 8. Let g be v(6). Let x be (g\/63)\/(4\/(-6)). Put -4, -1, 2\/15, x in decreasing order.\nAnswer: x, 2\/15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -20792791.\nAnswer: -20792754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -15) + (-9 - (-58 + -5)) + -9.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6335 + -6335. What is the second smallest value in 3, -11, t, -2, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343252268 a multiple of 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**6))\/(a\/(((a**(-8)*a)\/a*a)\/a)*a)*(a**(2\/5))**(-13))\/((a**(2\/17)\/a**(4\/11))\/(a**2\/a**3)) assuming a is positive.\nAnswer: a**(-19592\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.442 - -332.558. Let z = q + -337. Sort -0.35, -5, z in descending order.\nAnswer: -0.35, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -37. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 2*b. Let r(n) = n**2 - n + 1. Determine -2*i(t) - 6*r(t).\nAnswer: -4*t**2 + 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -4.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1, -2, -214.\nAnswer: -214, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Suppose -2 - 1 = -3*v. Let k(r) = -r - 18*r + 18*r + 3*r. Let w(a) = v*k(a) - 4*b(a). Let x(p) = 32*p**2. What is x(w(n))?\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*l = -13, 4*k - 11*l = 7*k - l - 8*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 108. Let k(h) = -2*h - 9. Let r(a) = 3*d(a) + 36*k(a). Let g(z) be the first derivative of 2*z**3\/3 + 1. Give g(r(l)).\nAnswer: 13122*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38508289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Let g = 13 - l. Let x = 10.4 - g. Round x to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 * -399401\nAnswer: -1397903.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 6*b - 79*f + 76*f, 3*b + 2*f = -20. Suppose -10 = 5*c, 3*c = j - 2*c - 9. Put 4, b, j in descending order.\nAnswer: 4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/6 - 110959*w\/3 - 1848900 = 0 for w.\nAnswer: -221868, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 138b4?\nAnswer: -138b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/135 and -83\/192330?\nAnswer: 576990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2cb - -42200?\nAnswer: 424cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 13 = -4*r + 2, 3*r - 5*i = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 3, -5, 675, 15 in decreasing order.\nAnswer: 675, 64, 15, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*n**3\/7 + 1057824*n**2\/7 + 705234*n\/7 + 117540\/7.\nAnswer: -6*(n - 19590)*(3*n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 23. Let s(r) = 44*r + 256. What is 32*l(d) - 3*s(d)?\nAnswer: -4*d - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 1218976.\nAnswer: 1218976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7685 to the nearest one hundred.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393, 391, 389, 387, 385, 383?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 272. Let j = -76 - t. Suppose 3*k - j = -4*q, 2*k = 2*q - 0*k - 14. Solve -2*g = -3*v - 0*v - 19, 4*g = q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 + 2*g + 2. Let n = -81 + 84. Does 6 divide q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 8 = -24*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646*u + 646*u + u**2 - 1 - 5*u**2 + 0*u**2.\nAnswer: -4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 150\/2 + -10 + 12. Let a be (-3 + 7)\/4 - 54\/(-2). Calculate the greatest common factor of a and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 8*a + 534. Calculate the least common multiple of 54 and v(0).\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-66) + (-62)\/12*(37 + 1). Suppose 0 = o - 0*o + 69. Let f = o - t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s. Let m be f(-2). Let g be (1\/(-1) + 7)\/(-1). Let p = g + m. Solve 8 = p*z, 0 = -5*r - 5*z - 0*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 28 = u. Let d(i) = 6*i - 2. Calculate the remainder when u is divided by d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, t: 1, s: 1, l: 1, b: 1, i: 1}. Give prob of picking 1 l and 1 i.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d*m**4 - d*m**2 - 2*d*m - 164*d + 417095*m**4 + 54*m - 2 wrt m.\nAnswer: 60*d*m**2 - 2*d + 5005140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-37 + 43 - -29) - 24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173550 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 - 1.1. Let f = a - 3. Let u = -203447.1 + 203447. What is the nearest to u in 4, f, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2) + sqrt(2))*-6 + 1*sqrt(32).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/3, -0.1, 8\/59, 53\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify i**26*i**(-10\/3) assuming i is positive.\nAnswer: i**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 42 - 37 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/20 and 31\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*s = -3*w + 6, 0 = 4*w - s - 9. Let a be 6 + (-4)\/(-5)*(-35)\/14. What is the highest common divisor of a and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 6*h + 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 123*p + 249 = -250*p + 132*p, 4*p - 189 = -43*n + 38*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 18*p**2 - 2492*p + 2491. Give i(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**7\/1680 + w**6\/160 + w**5\/96 - w**4\/16 - w**2 + 363*w. Suppose x(k) = 0. Calculate k.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 742069\/48 + -52573\/3. Let v = 2069 + t. Find the common denominator of v and 3\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:27 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 15*y**2 + 30*y + 9. Calculate s(17).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + -4 - (121 + 429). Let m = d - -958. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17272 - -0.1.\nAnswer: -17271.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (3 + (-1 - -3) + -2 - 9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 819153 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2420, -4950, -7480, -10010, -12540, -15070?\n\"Answer: -2530*m + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 3*y**3 - 2*y**3)*(-2*y - 3*y + 2*y) - 1 + 1 + 2*y**4 + 0*y**4 - 3*y**4 + 2*y**4.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-566)\/2830)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/1093 + 100408\/147555. Find the common denominator of 89\/1605 and n.\nAnswer: 14445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 35.05324 weeks?\nAnswer: 21200199552000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o. Let p(w) = -15*w - 183200. Determine p(i(n)).\nAnswer: 120*n - 183200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 4.\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*h**3 + 107341860 - 3*h**2 + 3*h**2 - 107341858.\nAnswer: 430*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12365 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, -3854, -11414, -21998, -35606, -52238, -71894?\nAnswer: -94574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -147*z**5\/2 - 3353*z**4\/6 - 1305*z**3\/2 + 639*z**2\/2 - 134*z\/3 + 2 = 0.\nAnswer: -6, -2, 1\/9, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 + f - 11. Let x(h) = 3*h**2 + 2*h - 10. Let w(p) = -4*q(p) + 5*x(p). Let d be w(4). Suppose d*s = 3 - 1. Which is smaller: 3\/7 or s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - d + 3. Let w be m(3). Let b(o) = o**2 - 39*o + 238. Let a be b(7). Let u be (-21)\/w*(-2)\/a. Which is bigger: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 125984449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.86 - 0.14. Which is the second smallest value? (a) -0.5 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 3*x**2 - 5*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 at most as big as -4\/7193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 19, -32, -105?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.5 + 24. Sort 3, q, -0.1, -5 in descending order.\nAnswer: 3, q, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 59 + -64 + (-2)\/(-1). What is the nearest to -6 in -1, 0.5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + 74. Suppose -2*b - 115 = -d. Solve -5*i = c - 19, 3 - b = -i + 3*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15268523.\nAnswer: 31, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 + 502*d**3 - 728035*d**2\/3.\nAnswer: d**2*(d - 385)*(d + 1891)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1827989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 2*b**3 + b**3)*(-b**2 + 2*b**2 - 2*b**2) + (-2*b**2 - 2*b**2 + 0*b**2)*(b - 4*b**3 + 0*b + 2*b**3).\nAnswer: 7*b**5 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 43*p + 40*p + 59*p**2 + 290*p**2 - 93*p - 1. What is the units digit of j(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 21 - m - 19 - 2*m + 20*m**2 + 4*m. Let n be a(6). What is the third derivative of n - 728 - 3*q**3 - 7*q**2 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s - 36. Calculate y(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - v = 2, -2*f + 4*v + 0 = -8. Suppose -4*n - 269794 - 162206 = f. What is n rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1) + (588 - 2). Suppose -4*o - 16 = 5*y - 45, 0 = -3*o + 5*y + 13. Suppose o*f - 536 - l = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 22 = -3*z, -26270*k = -26268*k + 4*z + 26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-100)\/477 + (-6)\/(-27). Let n = r + 104\/159. Suppose -a**2 + 1\/3*a**3 + 0 + n*a = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4207117, 8414236, 12621355?\n\"Answer: 4207119*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2207, 4, 5\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 + 42 - 17 - 10 + 2*o**3 - 15.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8 + -2)\/(-2))\/(3\/108)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04493 rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y + 10*y**3 + 1\/3*y**4 + 27*y**2 + 0.\nAnswer: y**2*(y + 3)*(y + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3 + 0*d**2 + d**2 + 4*d - d + 1. What are the prime factors of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8233\/10285 - 1\/2057. Which is the third smallest value? (a) 0 (b) 3\/5 (c) -7 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(63)*-4)**2 - sqrt(7)) + sqrt(7) + -2*(sqrt(7) + -1)*-2 - ((sqrt(7) + sqrt(28)\/sqrt(4) + -2)**2 - -3*(2*sqrt(7) - sqrt(7)))*-6.\nAnswer: -26*sqrt(7) + 1193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + (-44)\/(-7). What is the second derivative of 1 - 2*u**4 + 3*u**4 - 1 - s*u wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1*-6)\/((sqrt(7) + sqrt(7) + (sqrt(7) - sqrt(63)) + sqrt(7))*-5)*-4.\nAnswer: -24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*-20*5\/(-60).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 1829, 4143, 7401, 11609, 16773, 22899, 29993?\nAnswer: 38061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 14. Let o be k(-9). Suppose 0 = o*r + 87 + 1. Let f = 10 + -16. Let j(x) = 2*x - 3. Let t(d) = -7*d + 11. Give f*t(q) + r*j(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 14495018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.32 + 0.12. Which is bigger: d or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from ixxxixxxxiqihiqx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/5)*n*(n*n**5\/n*n)\/n*n*(n**6*n)**(1\/30))**(-1\/7) assuming n is positive.\nAnswer: n**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 224.961 and 5?\nAnswer: 1124.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93\/13 + -7. Which is the smallest value? (a) 0.2 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297719 = 3*u + h + 99934, 3*u = h + 197789. Let b = u + -8967635\/136. Let d = -32\/17 + b. What is the common denominator of 73\/14 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(432) + 2 + -3*sqrt(3)*3 + (1 + sqrt(3))*-5 + 1)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 26 + 7*a + (0 - 2 - 2)*(a - a + 2*a) + (-2 + 2 + 2)*(0*a + 2*a + a))*(3 - 1 - 1) as o + g*a and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 636637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22200 + -11?\nAnswer: 22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4590 is divided by 2277?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128\/7 + -18. Are f and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, x: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9220278?\nAnswer: 2, 3, 211, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 23459\nAnswer: 1\/23459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357604 by 92.\nAnswer: -3887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8499 + 2.81. What is w rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 2:39 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(96))\/((sqrt(88)*2 - sqrt(88))\/sqrt(11)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a. Let u(t) = -50*t + 532936. Determine n(u(h)).\nAnswer: -150*h + 1598808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 5)*(72 - 101 - 110)*(1 + 17 - 6*x**2 + 8*x**2) to j*x**2 + v*x + z and give z.\nAnswer: -5004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = -0*m, -21 = -p + 4*m. Solve -s + 3 = -2*i, -5*i - p = s + 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 26248 = -3*j, -36*v - 2 = -38*v. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571295925.\nAnswer: 3, 5, 2539093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 141\/12 - (-9)\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c + 27. Let j(g) = -17*g + 55. Let p(a) = -6*j(a) + 13*w(a). Calculate the lowest common multiple of p(6) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*p**2 - 6*p + 6*p - 107*p**2 + 0*p.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -648*r + 647*r + 5 + 10. Let l be x(7). Differentiate l - 33*g**2 + 36*g**2 + 10 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*f**3*h**2 + f**3*h - 2*f**2*h + 292*f - 116*h**2 wrt h?\nAnswer: -198*f**3 - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 34*n + 1214. Calculate the remainder when v(-34) is divided by (-92)\/(-6) + (-2)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 10*j + 1. Let i be m(-10). Suppose u - 5*n + 23 = 0, 3*u = -0*u - 5*n + 11. Let w(g) = 3*g + 46. Let f be w(-16). Sort f, i, u, -5.\nAnswer: -5, u, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 318*k**5 - 678*k**3 - 136. What is the third derivative of l(g) wrt g?\nAnswer: 38160*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -306*d**3*r*z**3 - d**3*r*z - 45*d**3*r + d**3 + 230*d*r*z**5 + d*z - 16*d - 14*r wrt z?\nAnswer: -1836*d**3*r*z + 4600*d*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*y - y + 32, 2*y + 4 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 127*t**7\/42 - 26*t**4\/3 + 80*t. What is the third derivative of k(c) wrt c?\nAnswer: 7620*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*d**3 - 13*d**2 - 13660*d?\nAnswer: 1482*d - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 694 - 697. Let j = -4 + 11. Let x = q + j. Which is the nearest to 2\/3? (a) x (b) 3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 5\/3 (c) -2 (d) 0.3 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 35. Let g(i) = -70*i**2. Give g(j(k)).\nAnswer: -70*k**2 - 4900*k - 85750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 6. Let d be t(0). Let l(s) = -2*s**2 - 10*s - 8. Let q be l(-3). Suppose d*o = q*o + 194. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**3\/3 - 12*q + 5. Give b(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-37)*g)\/g)\/(g**(-1\/28)*g)*(g\/((g*g*g**(2\/25))\/g))\/g**(-1\/4) assuming g is positive.\nAnswer: g**(-6614\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4956)\/9086 - (-9)\/(-44).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1182.5 times -0.1\nAnswer: 118.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2736977, -2736979, -2736981, -2736983?\nAnswer: -2736985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -253? (a) 10\/13 (b) -3 (c) 4 (d) -101 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72764952 and 16791912?\nAnswer: 218294856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n. Let s(p) be the first derivative of 2\/3*p**3 + n*p**2 + 2 + p. Differentiate s(t) with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -342 - -10?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(2\/25)*(z\/(z*z*z**19*z))\/z)\/((z\/z**(1\/6))\/z)**(-39))**(-6\/13) assuming z is positive.\nAnswer: z**(3813\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -302*n + 304*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 247 + -224 + (1 - 12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247 - 740\/3. Let v = -1994\/7 - -2909\/7. Let d = 131 - v. Which is the smallest value? (a) 1\/5 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0 + 1\/30*n**5 + 2*n**2 + 0*n + 0*n**3 + 0*n**4. Let k(a) be the first derivative of -a**3 + 1. What is k(o(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-473082)\/(-40)*(-24)\/(-2844). Let i = u + 197\/79. Let b = i + -2551\/20. Find the common denominator of b and 53\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57354 and 154?\nAnswer: 401478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19040\/(-1127))\/16 - 4\/46.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2778.967 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1800\/28 - (-1)\/((-21)\/6). Let j = c - 56. Does 2 divide ((-26)\/(-8))\/(2\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**3*i - 97*b**3 - 2*b**2*i + 118*b**2 - 4843*b*i + 1864*i wrt b.\nAnswer: -42*b*i - 582*b - 4*i + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - ((-4 - 17) + (22 - 9))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-4 - (-1 + -2)). Suppose 7*y - 4*y - 72 = k. Let o be 9\/4 - 6\/y. Put 6, o, 0 in descending order.\nAnswer: 6, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1386 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9694 greater than 9694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -148*i**7 - i**5\/5 + 258*i**3 - i**2\/2 - 540. What is the third derivative of k(w) wrt w?\nAnswer: -124320*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 3*c + 2. Determine b(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*h**3*r**4 + 71*h**3 - 3*h**2 + 50*h*r**4 - 4 wrt r?\nAnswer: 184*h**3*r**3 + 200*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/9 - 182*p**2\/3 - 1631*p\/9 - 362\/3.\nAnswer: -(p + 1)*(p + 2)*(p + 543)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 16. Suppose 5*m - 5*f = 2*m + 66, 3*m - 66 = -4*f. Let h = m + -11. What is the remainder when h is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 51*r**5 - 11*r**2\/2 - r + 542. Find the second derivative of s(i) wrt i.\nAnswer: 3060*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + b + 2*b)*(4*b**3 - 7 + 7) - 2*b**4 + 9*b**4 + 8*b**4 as x*b**4 + i + k*b**2 + v*b + s*b**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12751562295)\/(-11075) - (-1 - (-2)\/((-10)\/(-3))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**3\/3 + 5*b**2 + 7*b. Let u(r) = 1. Let p(z) = 4*u(z) - x(z). Let f(k) = 4*k + 11. What is -4*f(t) - 7*p(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 903237085 and -3842.84.\nAnswer: 903233242.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/(-20))\/3)\/(2\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 66*d**2 - 7*d**4 - 66*d**2 wrt d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 367*m - 13271. Determine c(36).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599663?\nAnswer: 599663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -440*w**2 - 30*w**3 + 17 - 5 + 29*w**3 - 7 - 7 as j*w**2 + p + u*w**3 + f*w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 10*g - 6. Calculate the remainder when 59 is divided by p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**8\/70560 - q**7\/5292 + q**6\/1890 - 5*q**4\/24 - q**3\/6 + 66*q**2. Let v(g) be the second derivative of w(g). Factor v(l).\nAnswer: 2*l*(l - 4)*(l - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**3 + 1\/12*c**4 - 3*c**2 + 0 + 0*c - 1\/60*c**5. What is the second derivative of z(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((144\/120)\/3)\/(6\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -1.7. Let v = q + -3.5. Let g = 0.1 - 0.1. Which is the closest to g? (a) -0.1 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(64)\/(sqrt(16)\/sqrt(2))) + -1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3230*f - 45201. Determine l(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 7 - 1)*(-5*a**3 + 3*a**3 - 2*a**2 + a**3)*(0*a - 21*a - 4*a) as o*a**2 + s*a**3 + z*a**4 + q*a + v and give z.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 6)\/(3\/(-40)). Let o = u + 58. Suppose -24 - o = -2*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1365)\/45*12\/(-26).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 2*g + 2. Let f be p(-2). Suppose 5*y - 30 = -5*s, 5*s + 0*y + y - 10 = 0. Sort s, f, 5 in increasing order.\nAnswer: s, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 - 165*p + 8. Let c(k) = 5*k**2 - 110*k + 5. What is -8*c(i) + 5*z(i)?\nAnswer: -5*i**2 + 55*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14027783 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 5 (b) -3 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**8\/448 - t**7\/560 - t**6\/96 + t**5\/80 - 8*t**3\/3 - 8. Let i(j) be the third derivative of r(j). Find f such that i(f) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.0394847 + -0.2087383.\nAnswer: 26.8307464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1 - 1. Suppose -3*g - o*g = -20. Let f(j) = j + 8. What is the remainder when g is divided by f(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/10*(180 + -131 + -54)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532 divided by 6?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 18*h**4 + 30*h**3 - 33*h + 18 = 0. Calculate h.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 6*j + 0*j**4 + 0*j**3 + 0*j**2 + 9\/5*j**5 - 6. Find the first derivative of z(s) wrt s.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110100 - 100001101110100?\nAnswer: -100101000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a - 20 = 0. Suppose -a*c + 5*z - 166 = -54, 3*z + 56 = -2*c. Let w = c + 59. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6180543788 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2\/13, 1\/3, -4, 0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180.34 - 195.011. Let g = l - 0.329. Do 9 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14982 by 3.\nAnswer: 4994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 12) to base 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1535*u - 3066*u + 3*u**2 + 82 + 1531*u.\nAnswer: 3*u**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5\/4 (b) 4\/31 (c) 101\/26 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*h + 8 = 0, t - 3*h - 4 = -20. Put 3, t, 1 in ascending order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809737, 1619083, 2428429?\nAnswer: 3237775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(3 - (14\/(-6) + 1)). Let t = -40 - s. Which is the nearest to -1? (a) t (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, -1\/204, 0.119 in increasing order.\nAnswer: -377, -1\/204, 0.119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16140 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**2 - 91873*r**3 + 91873*r**3 - 5*r**2 - 6294*r**5 + (-1 - r**3 + 1)*(-r**2 + 3 - 3) - 2*r**2 + r**5 + 2*r**2 - 3*r**5 + 2*r**5 + 0*r**5.\nAnswer: -6293*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2*(-2)\/12). Suppose 0 = d*u + 6 - 78. Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1937*-30\nAnswer: 58110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*z + 2*z. Let h be 2 + (-1 + 4 - z). Let i(f) = 3*f**2 + f + 2. Is 8 a factor of i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18721*f = -18980*f + 9962 + 1434 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -559, -1116, -1673?\n\"Answer: -557*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5801300 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -145 and -7.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-7))\/((-1)\/(-64)). Suppose -4*g = -2*b + a, -4*b + 0*b = -g - 242. Suppose 0*u - b = -3*u. Solve u = -3*o - o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:59 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35901703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/(-14)*(16\/5)\/16?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 3, y: 4, n: 1, e: 6, u: 4}. Give prob of picking 1 z, 1 s, and 1 y.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24759, -24796, -24879, -25026, -25255, -25584?\n\"Answer: -3*y**3 - 5*y**2 - y - 24750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332 + -329. Let n(x) = -x - 14. Let t be n(-16). Suppose 0 = 2*k - k - t*k. Which is the closest to k? (a) 1 (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14524161 (base 8) to base 9.\nAnswer: -6220061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6295344 centuries?\nAnswer: 755.44128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18*k = -80. Suppose k*v = -h + v + 89, h + 2*v - 83 = 0. Calculate the remainder when h is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 3*m + 1. Let o be x(4). Let l be 1\/(-3) + 101\/o. Let f = -17 - l. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 786*v**3 - 234*v**2 + 18*v + 852 wrt v.\nAnswer: 4716*v - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 45*g - 15. Suppose 5*i + 2*a - 62 = 3*a, 2*i - 5*a - 34 = 0. Is q(i) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 554\/(3 + (0 - 5)). Let m be 10 - (-5 + 10) - i. Suppose r - 21 = m. Is 47 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 97.462 (b) -9 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33905, 68910, 103913, 138914, 173913, 208910, 243905?\nAnswer: 278898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k**3 - 2*k**2 + 5*k. Let y(j) = 7*j**3 + j**2 + j - 1. Let z be y(1). Let h(m) = 14*m**3 + 3*m**2 - 8*m. Give z*i(o) + 5*h(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 4*r - 5369. What are the prime factors of r?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 - -2.97. Let o = p - 2.9. Let v = 4 + -4. What is the closest to v in 0, o, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -171, -231, -283, -327, -363, -391?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.18, -0.1, 10 in decreasing order.\nAnswer: 11, 10, 0.18, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, e: 2, b: 2, j: 2, a: 3}. Give prob of sequence ep.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11450 = -14*w + 9*w. Let g = w + -1080. Round g to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 9 - 63. Let a = n - 10. Suppose 6*j - a*j = 0. Solve 0 = -j*o - o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174379 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: Is 3885 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*m - 37, -5*t = -4*m + 47 - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 335*d**2 + 207*d**2 - 67*d**2 + 418*d**2 + 111*d**2 to b*d**2 + u*d + h and give b.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 57, 66, 75?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 32*q**2 - 2*q - 43. Let d be g(-32). Solve -4*c = p - d, 6 - 5 = p - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3686?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:33 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/1 + (-8)\/8.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -3*d**5\/20 + 83*d**2. Let r = -5 - -32. Let k(x) = -27 + 4*x + r. Give m(k(n)).\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**5\/60 + b**4\/8 - 3*b**2. Let i(k) = k**2 + 16*k + 18. Let s be i(-15). Let t be w(s). Solve 4 = -t*u + 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 925992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2118191 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {n: 1, o: 2, r: 1, a: 1, c: 1, y: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -45*s + 129. Let x be (588\/(-24) - -22)*(1\/(-5) - 1). Determine t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58434 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132210289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.9 - -13.02. What is the nearest to k in -8, 0.4, -2\/9, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01365 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjpj when four letters picked without replacement from pppjfpfppppppjppfp.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175 + 185. Let v(z) = 4*z**2 - 11*z - 36. What is the units digit of v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*i**3 - 3*i**2 + 5*i**3 - 2*i**3 - 17*i**2 wrt i.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 14538*y - 601101.\nAnswer: 3*(y - 4887)*(y + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 1)\/(4\/(-304)). Suppose 2*q - i = 4*o, 387 = 5*q + 2*o - 5*o. Calculate the remainder when q is divided by (-23)\/(-7) - 2\/7 - -17.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 128915*r - 128899. What is k(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 23. Let g(q) = 9*q + 117. Let y be g(-13). Suppose -n + 4*j + 1 = y, 22 = -2*n + 4*j + 12. What is t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, -3, -0.5, -1, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-260)\/(-50))\/(-13))\/(52\/(-100) + 1). Which is the closest to 12? (a) -1\/2 (b) f (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-90) + 9\/15\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5 - 6*y**4 + 3*y + 11 - 2*y**3 - 2*y in the form o*y**3 + x*y**4 + a*y**2 + m + q*y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-87)\/9)\/29*(-3)\/(-10))\/(100\/1125).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/2 + 208*f**3\/3 - 24*f**2 - 5*f - 304. Find the second derivative of q(x) wrt x.\nAnswer: -12*x + 416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**9\/30240 + t**8\/5040 - t**5\/15 + 22*t**2. Let p(s) be the third derivative of r(s). Factor p(f).\nAnswer: -2*f**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 167167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*1 + -4 + 1. Suppose y - 2*o = 12, -68 = -4*y - 3*o - 20. Suppose p = -3*u + 15, -4*u + 5*p + 8 = -y. Sort 1, x, u in descending order.\nAnswer: u, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(10)\/sqrt(2) - (sqrt(5) + 2 + 1))**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185*((-294)\/(-1470))\/((-2)\/2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by -2708?\nAnswer: -57\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 516107936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4172535 bigger than -4172384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6938*p**2. Let z(h) = -22*h. Determine o(z(u)).\nAnswer: -3357992*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 1. Suppose -14*y = -27 - 43. Calculate n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463386210.\nAnswer: 2, 3, 5, 7, 2206601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12024*j**3 + 3473*j**2 wrt j.\nAnswer: 72144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n**2 - 22*n - 3. Suppose -3*c + 0*c + 12 = 0. Let k(f) = 11*f + 1 - 1 - 2 - c*f**2 + 4. Let x(q) = -3*h(q) - 7*k(q). Calculate x(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437410 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - 0) + (-5 - (96 - 104)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) -2\/7 (b) 4\/5 (c) 0.2 (d) 3 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -15. Let d = -18 - g. Suppose -2*r + d + 29 = 0. Solve 0 = 3*c - 4*m + 7, 1 + r = -c + 5*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc7cd + 4?\nAnswer: bc7d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:04 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjo when three letters picked without replacement from jooorjooorooo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689231.\nAnswer: 17, 40543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqg when three letters picked without replacement from {h: 2, q: 1, g: 2, v: 11}.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r**2 - 49*r - 6. Let q be y(-5). Solve 2*m - q = 9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from xvpah.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from dyoooyydyoooyyoooyoo?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egg when three letters picked without replacement from {g: 2, e: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -26, 5, -5 in ascending order.\nAnswer: -26, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*15612\nAnswer: 15612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101366 is divided by 4054?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4 - q**2\/2 - 2*q - 6. Let h(z) = 9*z**3 - 2*z - 5. Determine -2*h(x) + 5*m(x).\nAnswer: 2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r + 6. Let w be s(-5). Let m = 0 + 5. Let k = -3395\/13 + 261. Which is the biggest value? (a) m (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.2. Let r = o + 0. What is the nearest to -1 in 0.4, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -15 + 41. Let c(f) = f + 3. Calculate the remainder when x is divided by c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 2*a - 22. What is the tens digit of f(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -156. Suppose -3*b - 12 = -4*y + w, 5*y - 201 = b. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (0 - 3) - -23. Let f = a - 4. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b057 (base 13) in base 6?\nAnswer: -3325204","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 - -207. Is (1774\/j)\/(220\/25 - 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5)*(-15 + 156\/16 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -5*i, 0 = i - d + 3*d + 4. Suppose 3 = s - 4*k - 22, i = 5*k. Let a = 36 - s. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (3 - (6 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 20. Suppose -5*t - d*k - 195 = 0, 0 = -t + 4*k - 4 - 10. Calculate the remainder when (-1)\/((-2)\/t)*-1 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 92*d - 90*d. Let b = 41 + d. What is the remainder when 26 is divided by b + -3 - (-30)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2, -2 = -4*v - 4*h + h. Let d(l) = l - 1. Suppose o + n = 0, -5*o - 5*n + 8 = -2*n. Let m(u) = -4 + 3 - 3. Determine o*d(r) + v*m(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25000 and 1240?\nAnswer: 775000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclclllcllclc. Give prob of sequence ll.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-13) - (-371)\/(-26)*-190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*d - 74 + 19 = 0, -2*d = -4. Suppose -5*j = -2*q - 2*j + 19, -q = -3*j - 14. Suppose -5 - q = -5*k, 0 = 3*a + 4*k - z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*t**3 + 188*t**3 - 46*t - 13*t - 10 - 4*t**2 + 2*t**2 to the form i + b*t**3 + g*t + w*t**2 and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 930 and 50.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*w = -6157, -4*t + 3*w + 9882 + 14731 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:30 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-1)*((-16382)\/(-4) - 3). Suppose -14707 = -19*h + c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82700?\nAnswer: 2, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 5*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-40)\/460*(-4)\/(-10).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - (-26 + 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 540.6, 0.4, 0.07, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -84*d. Let o(b) = -19827*b**2. Calculate v(o(q)).\nAnswer: 1665468*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 0.212, 1\/5?\nAnswer: 0.212","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 1 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -74. Let o be (-15)\/t + 1156\/10. List the prime factors of (-2)\/(10\/o)*-2.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/22 + (-4160)\/(-110). Let z be (3\/(-6)*f)\/(12\/(-8)). Factor 14\/3*i**2 - 4 - z*i.\nAnswer: 2*(i - 3)*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 58\/6*(-19 + -50). Let m = q + 2005\/3. Which is the nearest to -4? (a) -0.1 (b) 4\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*b**3*g**2*s**3 + b**3*g**2*s - 2*b**3*g - 160*b**3*s**3 - 17*b**2*g**2*s**2 - b*g*s - 3*b*s - g*s**2 wrt s?\nAnswer: 558*b**3*g**2 - 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 10. What is k in 3 - k + 10*k**f - 7*k**2 + 7*k = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((15\/25)\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 + -100. Suppose 3*b - 24 = -3. Suppose 3*j = x*j - b. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 - (20 + (-527)\/34)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(468) - (-2 + sqrt(468) + -1)**2) + (1*sqrt(78)*6)\/(sqrt(294)*2 + sqrt(294)).\nAnswer: -474 + 296*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6055 - 5445. Round m to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 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 the biggest value in -49846, 4, -1\/3, 1\/8, 2, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*v = 2*v - 199, -v + 5 = 0. Solve -54 = -2*c - l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((sqrt(847) + 0 + sqrt(847) - sqrt(847)) + 4) + 4)*-6.\nAnswer: -66*sqrt(7) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h)**(-6\/5)\/(h\/h**(-1\/3))**(-26) assuming h is positive.\nAnswer: h**(529\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1422 (base 10) to base 12.\nAnswer: -9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29.96626 and 39.110085?\nAnswer: 69.076345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4310 - -14808. Is m <= 10497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74220*w**2 - 54160 with respect to w.\nAnswer: 148440*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 5883?\nAnswer: 35298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -11\/553 (c) -1.6 (d) -2\/7 (e) 0 (f) 3 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9810847605 - -9810851229.2699964. Let g = x + -3623.77. Let s = -0.5 + g. What is s rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.976 + 25. What is f rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -734 - -765. Suppose -5848 = 27*g - m*g. List the prime factors of g.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012220031 (base 4) in base 15?\nAnswer: ad5c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 - -122. Let l = -94 - z. Let i = l - 77. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1895468, 3790902, 5686338, 7581776?\n\"Answer: s**2 + 1895431*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235774678 to the power of 1\/2, to the nearest integer?\nAnswer: 15355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -0.1. Let l(k) = k**3 - 5*k**2 + 3*k + 1. Let s be l(4). Let z = 109\/3 - 36. Sort z, p, s.\nAnswer: s, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 101?\nAnswer: -15\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.048 - -1.59. Let m = n - 0.132. Let p = m - -1.589883. Round p to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330448099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 554, 333, -506, -1963, -4038, -6731?\n\"Answer: -309*s**2 + 706*s + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2 + 10*l + 193. Determine a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 591 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 19 - 2*d + 11 + 13*d**4 - 282 + 4*d**3 + 213 to w*d**4 + o*d**2 + j*d**3 + q + m*d and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 64?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -37. Let c = u + 26. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z + 85. Let q(n) = -n - 1. Calculate -4*p(u) + 44*q(u).\nAnswer: 4*u - 384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3197793, 0.05, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544 a factor of 204587720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 586\/17 - 49207\/1428. Let t(o) be the third derivative of -z*o**4 + 0*o - 1\/420*o**5 + 0 + 12*o**2 - 1\/42*o**3. Suppose t(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18\/5 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 126. Let m(z) = -9*z. Calculate o(m(i)).\nAnswer: -81*i**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/(-130))\/(-4)*(-2)\/3. Which is bigger: q or -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + s - 8322 = 0, 1528 = k + 3*s - 558. Suppose -5168 = -5*v + 2*t, 43*v - k = 41*v + 4*t. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 23*j + 15 = 0, -3*i = j - 389. What is the greatest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + d - d + 2. Let w(z) be the third derivative of -2*z**4\/3 - 11*z**3\/6 + z**2. Let h = 685273 - 685279. Give h*w(j) - 33*a(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 0*i**3 + 2*i**4 + (3*i - i - 4*i)*(-3*i + 3*i - 2*i**3) + 0*i**4 - 4*i**4 + 3*i**4 + 16*i**2 + 25*i**4 + 0*i**2 - 35*i**4.\nAnswer: -5*i**4 + 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j\/(j*j*j**(3\/2))*j*j*j**(-1\/32)*j**(-20)\/(j**(1\/29)\/j) assuming j is positive.\nAnswer: j**(-15373\/928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97120 + -97248.903. Let y = 129 + r. What is y rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3844437393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 + 4*o. Let b(i) = -14*i**2 + 20*i + 1. Determine -2*b(v) + 11*d(v).\nAnswer: -5*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 30*(-78)\/(-455)*14?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, b: 2, s: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 19*o**6\/20 - 101*o**5\/30 + 3*o**2 + 12. Find the third derivative of u(n) wrt n.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18208\/(-960) + 51 + (-37 - -5).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -1\/15*q**6 - 2\/3*q**3 + 0*q**4 + 0*q**5 - 3*q**2 + 12*q + 0. What is the first derivative of b(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254149000 rounded to the nearest 100000?\nAnswer: 254100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570859 divided by -2?\nAnswer: -2570859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13328965 and 3055.\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -69. Let c = t + -65. Let f = -45 - c. Let v(i) = 1. Let o(n) = n + 1. Give f*o(b) - 4*v(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 138\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -64\/3. Let q = -1964 - -1963.8. What is the nearest to j in q, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 5\/6*v**3 + 0 + v**2 - 2*v + 1\/12*v**4. Let j = -11 - -6. Give n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748532846 to the power of 1\/3, to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2379831 divided by 6819.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 - -702. Suppose -a = -l + 553. List the prime factors of l.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/75 - (-73)\/5. Let w(j) = 7*j + 1 + h*j + 4*j**2 - 21*j. What is w(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15857?\nAnswer: 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 - 4*u + 15*u to the form q*u + n and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169623 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.4 (b) -101 (c) -5 (d) 3\/7 (e) 8\/25 (f) 3\/2 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399\/9 - 2 - (-2)\/3 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 + 0*s**2 - s**2)*(-13 + 13 - 10*s)*(2 + 2 - 3) in the form g*s + x + t*s**3 + u*s**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 13. Suppose -14*s = -17*s + 39. Let x be r(s). Let v be 29\/399 - x\/182. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 38*v**2 + 4*v - 36. Let t be z(3). What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 565.73 - 569. Let o = a + 16.03. What is o rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.04, 1\/9, -19, -1, 0.1, 2, 1\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4 - 640828*l**3 - 9203326*l?\nAnswer: -12*l**2 - 3844968*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5052694?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 6*b + 7 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7077 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -14\/9*p - 4\/9 + 2*p**2 = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66\/22135 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsjj when four letters picked without replacement from jjssssjssjs.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7225.248125 + 2.029\nAnswer: 7227.277125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4784630.902 to the nearest 1000.\nAnswer: -4785000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5074*n**3*z**2 + 4*n**3*z - 587*n**3 wrt z?\nAnswer: 10148*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b*b)**(-3\/20) assuming b is positive.\nAnswer: b**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(54\/12) - 4. Let r(g) = 8*g + 43. Let k be r(u). Sort 0.1, 0.4, k.\nAnswer: k, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 7*c + 3. Suppose -3*w = -2*l + 7, 21 = -3*l + 7*l + w. Suppose l*y - 8 - 17 = 0. Calculate the remainder when y is divided by p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53314 (base 11) to base 16\nAnswer: -12f08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -5*q**4\/12 + 2372*q. Let l(v) = 274*v**2. What is b(l(f))?\nAnswer: -375380*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 + 194. Which is smaller: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/6 + (-24)\/(-16). Let z(d) be the second derivative of 1\/3*d**t + 0 + 1\/2*d**2 + 12*d. What is z(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*a - 4*a. Suppose -4*p = -a*q + 5*q - 32, -2*q + 8 = 0. Let b be 750*25*2144\/p. What is b rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210203750 and 18750.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*j - 3, -5*i + 2*j = -0*i - 2. Suppose 4*o - 484 = 26*o. Let n be (1 - (-19)\/(-15)) + o\/55. Is n <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-31214)\/(-10) + (-3)\/(-5). Suppose -5*n - z + i = 643, 4*n - 2*z - 1986 = 0. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/6517115 and 29\/2369860?\nAnswer: 26068460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 l, and 2 w when four letters picked without replacement from wwgbwmwwbbllmgwmwbbw.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:01 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -250\/7 - -36. Put 2, q, -0.1, 4 in descending order.\nAnswer: 4, 2, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 315*i**2 - 307*i**2 + 2*i**3 + 622*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 - (10 - (9 - 18) - 0 - 12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 16) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54557 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252 - 30. Find the second derivative of -2*o**2 - 32*o**4 - 183*o + w*o + 2*o**2 wrt o.\nAnswer: -384*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(2\/3)\/(36\/27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066 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 remainder when 525 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3485*k - 15476 + 106873 + 107344 = -13844 for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 + -35. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*p + 19, 21 = 2*p - 5*q - 0*q. Let m = p - -6. Find the common denominator of 97\/6 and (-94)\/2*1\/m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1791, -1787, -1783?\nAnswer: -1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/264 equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 683*g**2 - 10*g + 7. Let a(l) = -684*l**2 + 11*l - 7. Let s(t) = -4*a(t) - 5*h(t). Let v be s(3). What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:41 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90197, 360776, 811741, 1443092, 2254829, 3246952?\n\"Answer: 90193*x**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96.2 + -165. Round k to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*h + 81, -26*h + 111*h + 2105 - 260 = -38*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -3448*(-3)\/30 - (-6)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 226, 602, 1044, 1564, 2174, 2886, 3712?\n\"Answer: 2*a**3 + 21*a**2 + 299*a - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 11*g**8\/84 + g**7\/105 - 47*g**4\/12 - 2*g**2 + 95*g. Find the second derivative of z(j) wrt j.\nAnswer: 880*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 1750, 5833, 13860, 27145, 47002, 74745?\nAnswer: 111688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 13. Let f be i(7). Let n be (f - 8)\/(3\/(-17)). Let y = 56 - n. Let k(h) = h - 2. What is k(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, -2.15, 0.2, 2?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2243431 + 1?\nAnswer: 2243432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:08 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**3 + o**2 + 2*o + 1. Let z be c(-1). Let f = 0.79 + -0.99. What is the second smallest value in 1\/4, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o + 18. Let n be v(-3). Which is bigger: n or -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (33\/(-15) + 2). Suppose y - 1 = -3. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132 - 0.3981?\nAnswer: 4131.6019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 49*d + 6062. Calculate c(-123).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -421297\/36 + 11701. Let d = 8444156\/491 + -69686885637\/4055660. Let f = d - -3\/2065. What is the common denominator of f and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1573)*-2 - sqrt(1573)) + 3 - ((sqrt(1573)*-1 - sqrt(1573)) + 2))*6*3)**2.\nAnswer: -178200*sqrt(13) + 12749400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67507*a**3\/2 + 18034667*a**2\/2 + 602226792*a - 3220722.\nAnswer: (19*a + 2538)**2*(187*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -40.5?\nAnswer: 38.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 62\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 647694 and 3238470?\nAnswer: 3238470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (885*h**3 - 2160*h**3 - 4382*h**3)*(-h - 2*h + 2*h).\nAnswer: 5657*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -219? (a) 3 (b) 0.1 (c) -0.2 (d) 15 (e) 2 (f) -208\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1. Suppose -9 = -5*c - 39. Let f(z) = -7*z - 10. What is c*s(w) - f(w)?\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -99\/13 > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = -20. Let s(v) = 1. Let w(u) = u + 3. Determine l*s(i) + w(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**(10\/3)*a)\/a*a)*a*a*a**(-2\/33)*a*(a*a**(-13))\/(a**2*a))**(-47) assuming a is positive.\nAnswer: a**(23876\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(210\/4)\/(-7). Let v be (h\/(-18))\/((-1)\/(-2)). Let t = -10 + 6. Put v, 2\/11, t in ascending order.\nAnswer: t, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 165, 344, 525, 708, 893, 1080, 1269?\n\"Answer: o**2 + 176*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-269)\/(-1345) - ((-212)\/(-10) + -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 49*n + 5 - 3 to l*n + r and give l.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10096097 (base 10) in base 15?\nAnswer: d46682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1986461803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(833)*-1 + -2.\nAnswer: -7*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z**31)**(-9) assuming z is positive.\nAnswer: z**(-243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 88 = 7*g + 4*g + 2*o, 100*g + 4*o + 55 = 105*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 8*y**5\/5 - 18*y**4\/5 - 36*y**3\/5 + 58*y**2\/5 - 12*y\/5 = 0.\nAnswer: -2, 0, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 + (-1 - 2 + 5)*(-3 + 1 + 3) + (10 - 14 - 26)*(-1 + 0 - 1))*(-3*p + 18*p - 131*p).\nAnswer: -6960*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-308)\/(-10626))\/((-7)\/14)*2\/(8\/(-6))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)*u**(-4))**(-1\/4)*(u**1*u**(-2\/7))**(1\/13) assuming u is positive.\nAnswer: u**(2203\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -6 - (-2 + 1). Let z = 2014 - 2021. Sort -4, t, z in increasing order.\nAnswer: z, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g**3 + 1. Suppose a + 5*y + 19 = 0, 4*y + 16 = -4*a - y. What are the prime factors of t(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(-31 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/8 + 59295*i\/4 + 148275.\nAnswer: -3*(i - 39540)*(i + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 13654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + -5 + (0 + sqrt(833) - sqrt(833)))**2 + -2*((-5 + (sqrt(833) - (1 + sqrt(833))))**2 - sqrt(833))).\nAnswer: -84*sqrt(17) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161443887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1283224352 and 844.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 8 = 4*q. Suppose 28 = 3*g + g - q*r, 3*g - 5*r = 28. Suppose -4*i - g = -3*n, 2*i = 2*n - 7 + 3. Solve i*k = -2*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apg when three letters picked without replacement from {g: 1, m: 2, p: 1, k: 1, w: 1, a: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*n + 55*n = -32039000. Round n to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/4 - 47*z**4\/2 + 1617*z**3\/2 - 11575*z**2 + 173125*z\/4 + 515625\/2.\nAnswer: (z - 25)**3*(z - 22)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48, 41, 30, 15, -4, -27, -54?\n\"Answer: -2*k**2 - k + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = -18*v - 80 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 28379 = -5*s, 0 = 4*t + s - 3*s - 113582. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 7*f + 14. Calculate n(-12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/42)\/((-247)\/(-133))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + (0 - -4) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 78 = 2*r. Calculate the remainder when r is divided by (-11)\/((-264)\/72)*(11\/3)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(40)\/sqrt(2) - sqrt(5))*2)**2 - -1*(sqrt(20)\/sqrt(4) + 3)).\nAnswer: -115 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**3 - 7 + 6 + 4 + 4 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207586?\nAnswer: 2, 271, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n + 78*n = 157*n - 420 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -305*f - 28. Let k(p) = -87*p - 9. Let j(g) = -2*d(g) + 7*k(g). Suppose -q + 16 = -3*c, -4*q + 2*q = 4. Let u be 7\/3 + (-4)\/c. What is j(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/((-6)\/36). Solve -2*b = -v*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 2*w + 0*w + (-19*w + 33*w - 29*w)*(5 + 0 - 1) + 4*w + 4*w - 6*w in the form s + g*w and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*s = 22, 0 = 3*n + n - s - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3607*a - 221 - 103 + 65.\nAnswer: -3607*a - 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (56 + 14 - 36).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let z(d) = -d**2 - 10*d + 15. Let o be z(-11). Find the third derivative of 4 - 4 + 2*v**o + v**t wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105280 + 524737\/5. Let b = t - -333. Is -1\/29 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -67. Let a be (-2)\/(-8) - 1\/c. Suppose a = -5*l + 30856 + 5744. Round l to the nearest one hundred.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**3 + 0*i**2 + 0*i**2)*(-i - 2*i + 2*i) + (2*i**3 + i**3 - i**3)*(29 - 26*i - 29) in the form s + p*i**3 + t*i**4 + c*i**2 + b*i and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 20*r**3 - 24*r**2 - 24. Let v(i) = 22*i + i**2 - 22*i - 2*i**2 - 1 + i**3. Determine -24*v(c) + w(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139001, 138881, 138765, 138653, 138545?\nAnswer: 138441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9563.389mm in centimeters?\nAnswer: 956.3389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 - 13604?\nAnswer: -13534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or 51248194?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*p**5 - 5*p**5 + 7*p**2 + 6*p**5 + 21*p**5 + p**4 wrt p.\nAnswer: 1920*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 9 + 9)*(l - 1 + 2*l - 5*l).\nAnswer: 2*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Suppose -392 = -b*f + 1253. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -33\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/((-5)\/(-10365)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 8*m. Solve m = n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7011*u**2 + 65118?\nAnswer: -14022*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0*p**2 + 4\/3*p**3 - 1\/12*p**4 + 0 + 11*p. What is the second derivative of w(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153904 is divided by 582.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/12)\/(35\/42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -3 (c) -15 (d) -2 (e) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 l when four letters picked without replacement from {i: 15, l: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, and 1 b when three letters picked without replacement from vevbvvvvvrvrevvv.\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42410, -42372, -42332, -42290?\nAnswer: -42246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayyyayayyyaaayayjyaa. What is prob of picking 3 a and 1 j?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*t + 97*t + 97*t + 115*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3 = 33. Suppose 3*h = 2*h - l + b, -2*h + 3*l + 7 = 0. Suppose 0*i - 115 = -h*i. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5\/3, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b079 (base 13) in base 16?\nAnswer: 5ecb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 + 91*w**3 - 1359*w**2\/2 - 32*w - 20. Differentiate m(y) with respect to y.\nAnswer: -2*y + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103442 (base 5) to base 7.\nAnswer: 13363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1) + 10 + -10 + 20 + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -5032?\nAnswer: 5032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -495, -472, -461, -468, -499, -560?\n\"Answer: -i**3 + 30*i - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24973441 to the nearest integer?\nAnswer: 4997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 - -0.28. What is the nearest to z in -2, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1026 (base 10) to base 7\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-224) + (-10)\/(-112).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5902945.\nAnswer: 5, 101, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.46527 + -32.4649. Let d = -5 - b. Round d to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 11. Let r be d(-1). Suppose r*b - 4 = 6*b. Sort -3, -5, b, -1.\nAnswer: -5, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305122 is divided by 43583.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*m**3 - 19*m**2 + 4*m wrt m.\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246615021 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 + 2*u**2 - 1332*u + 3788. Give b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -413, -0.2, 0, 5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -748\/7. Suppose 97*a + 24 = 91*a. What is the nearest to -2 in f, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) -8 (d) -3\/2 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091205 to the power of 1\/2, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1180*a**3 - 2 + 1183*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 12*h + 12. Let p be a(13). Let y be (-9)\/(-7) - 1\/1. Which is bigger: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1353?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 9*q**2 - 6*q + 10. Let w be d(8). Let k be 5 + -4 + w\/(-20). Let m = -12 + 10. Which is the third biggest value? (a) k (b) m (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -92, -134, -172, -206?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3406 + 3304.95. Let q = t - -98. Let u = q + 0.05. What is the second smallest value in 4\/9, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6327 (b) -1697 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = 0. Let y(a) = 1 - 3*a + 4*a**2 + 2*a + d*a. What is the units digit of y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 4. Let c be j(8). Find the common denominator of 42\/c*(-24)\/64 and -25\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238000741.03 + 4\nAnswer: -238000737.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 smaller than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.008 and -4.6952.\nAnswer: -4.7032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 6*v - 7*v - 9, -2 = -2*v + 3*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8077 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/12)\/(4\/(-132)). Suppose -62 = w - x, -4*w = 5*x + 112 + q. What is w rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:22 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4717973*o**2 + 2*o + 18301084 with respect to o.\nAnswer: 9435946*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -102*l**2 - 5*l - 410. Let n(g) = 2*g**2 - g - 2. Let x(z) = -k(z) + 5*n(z). Differentiate x(t) wrt t.\nAnswer: 224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15086612*l**3 + 2*l**2 - 18*l - 465138.\nAnswer: 90519672*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 7, m: 3}. Give prob of picking 1 a and 1 m.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31010 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -18, 48 in increasing order.\nAnswer: -18, -1, 8, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 34, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**3 + 38*p**3 + 0*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**6\/150 + 3*y**5\/50 + y**4\/60 - y**3\/5 - 146*y. Let h(n) = 0. Calculate n.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -5\nAnswer: 198\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)\/(p**(-2\/7)\/p))**0*((p*p**6)\/(p*p\/p**(-5)*p))\/(p**2)**(-4\/7) assuming p is positive.\nAnswer: p**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1227, -2723, -4219, -5715, -7211, -8707?\nAnswer: -10203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-77))\/(-19*(-24)\/3192)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 47*u**2 - 45*u - 41. Let g be w(46). Solve -26 + 11 = g*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvcccvlc. Give prob of picking 4 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, d: 3, j: 1, u: 3}. What is prob of picking 1 j and 3 d?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.63, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1181, 1236, 1291?\n\"Answer: 55*h + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*c + 1285443 = -41*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2247770612 + 2247770637.99999906. Let t = c + -26. Round t to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqe when four letters picked without replacement from qlqqqqeqeqyee?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4724.93 decades?\nAnswer: 566991.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1\/3. Let v = -3.71 - -3.41. What is the nearest to p in 4, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, 103, 11, 1, -2 in increasing order.\nAnswer: -5, -3, -2, 0, 1, 11, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001010001111100000 (base 2) to base 9.\nAnswer: -3031100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + m**2 - m**2)*(2 + 2 - 6) - 3*m**3 - m**3 + 5*m**3 + m**2 - m**3 - m**2 + m**3 + m**3 + 0*m**3 + (-9 - 9*m**3 + 6 + 2)*(3 + 1 - 1).\nAnswer: -21*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.701386 * 5\nAnswer: -3.50693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2105552847 to the nearest integer?\nAnswer: 45886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37.957 and -0.3.\nAnswer: 37.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnmmmn. What is prob of sequence nm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313108608 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 50643*l\/2 - 75960.\nAnswer: -(l - 50640)*(l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 0.61 (b) 0.3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*m - 106*m - 59*m**3 - 10*m)*(2 - 2 - 2*m).\nAnswer: 118*m**4 + 70*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -868, 1560, 3974, 6368, 8736, 11072, 13370?\nAnswer: 15624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1904, -1921, -1952, -1997, -2056, -2129?\n\"Answer: -7*g**2 + 4*g - 1901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -44*x - 7. Let w(y) = y. Let g(c) = -p(c) - 2*w(c). Does 19 divide g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b9 + -4?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/53)\/((-3)\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 35*k + 17 = -30*k, 3*j + 5*k - 23 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*o**3 + 388*o - 871*o + 423*o wrt o.\nAnswer: -348*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47, -41, -35?\n\"Answer: 6*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.15 and 0.9270201989?\nAnswer: 1.0770201989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y. Let w be (-1 - y)*60\/(-5). Suppose 4 = -b + w. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s + 100*s - 378*s + 4680 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2079)\/42)\/(-33)*(-4)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - (-387)\/(-99)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - x - 25, 4*x = -8*p + 3*p + 19. Calculate the lowest common multiple of 2 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkn when three letters picked without replacement from {h: 2, v: 2, k: 3, n: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000011001000 (base 2) to base 11.\nAnswer: -31002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9714 - 5?\nAnswer: 970b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122813658, 122813659, 122813660, 122813661, 122813662, 122813663?\n\"Answer: b + 122813657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from balqaaabaliab. What is prob of picking 2 b and 1 a?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3532240791.\nAnswer: 3, 2269, 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3773 - 0.0473. Let c = d + -2.23. Which is smaller: 17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3228 - 1044 = -84*s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z + 3*o - 79 = 0, 3*z - o = 43. Suppose 5*v = a + 158, -4*v + 35 + 80 = 3*a. Calculate the remainder when v is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 110*w**3 - 97*w**3 + 0*w.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - a - 10*a**3 - 15*a**3 - 34*a**3 in the form c*a**2 + q*a**3 + w*a + z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o**4 + 177*o + 185*o - 363*o - 1)*(-1 + 1 + o)*(-4 + 3 - 1).\nAnswer: 34*o**5 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14623.41 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t - 11*t + 106 = 583 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 2*c**7\/7 + 3*c**5\/5 - 113*c**4\/4 - c**3\/3 + 2183*c**2\/2 + 3828. What is the third derivative of h(r) wrt r?\nAnswer: 240*r**3 + 72*r - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 16130665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 41. Let r = -26.0252 + o. What is r rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - z**2 - 33*z + 19*z + 16*z as r*z + s*z**2 + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2503271319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-4)\/(-8))\/(4\/80) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3172373\/422 smaller than -7518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n - 4 + 5*n**2 + 5*n**2 + n**3 - n**2 - 2*n**2. Let i(z) = -z**3 - 8*z**2 - 5*z + 4. Let f(g) = 3*i(g) + 4*o(g). What is f(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-20)*-5)\/(-1). Let n(b) = 6*b**2 - 154*b - 55. Let a be n(26). Put i, a, -6 in descending order.\nAnswer: i, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 21 - (-2 - (-3 + 1 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 1, t: 1, i: 1, b: 2, o: 1}. What is prob of sequence whbb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90651\/8 - -11331. What is the nearest to -2\/9 in 3\/2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 26509.\nAnswer: 3\/26509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 321 = -111. Which is bigger: d or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 27*n - 24*n + 52*n)*(276*n**2 - 214*n**2 + 326*n**2).\nAnswer: 388*n**3 - 8148*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h**2*u**3 + 4*h**2*u - 46*h*u**3 - 8*u**3 - 2*u**2 - 58 wrt h?\nAnswer: 8*h*u**3 + 8*h*u - 46*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from wjjti?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, x: 1, s: 1, d: 1, r: 6}. What is prob of picking 2 r and 2 c?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 1\/5, -2.94, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11556 + 11556 + 280*r)*(-12*r + 10*r + 4 + 20*r).\nAnswer: 5040*r**2 + 1120*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 8*f + 11. Let t be v(9). Are t and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 163. Suppose -t = p - 2*p + 2*y, -3*p + 4*y = -512. Let j be (1\/3)\/((-10)\/(-660)). Calculate the highest common divisor of j and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - -246. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44011827 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 336, -282, -0.03 in descending order.\nAnswer: 336, -0.03, -2\/3, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 58*o**2 - 31*o - 64. What is k(-2)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 36. Let d be ((-6)\/(-4) + -2)*(-2 + z). Is 2 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3616840 to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to -6031935.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/7, 2\/31, 1\/6, 0 in descending order.\nAnswer: 7, 2\/7, 1\/6, 2\/31, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(14\/12 - 1). What is the hundreds digit of 239 - 16\/12*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.094 and 5622032.35.\nAnswer: 5622032.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4359.526 + 4360. Round p to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8.07. Let g = 0.13 + y. Let l = -25 + 25.7. Put g, -3\/2, l in increasing order.\nAnswer: -3\/2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 75. Which is greater: o or -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20048\/(-3401) - (-4)\/(-38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 1 - 19. Sort -26, z, -3 in increasing order.\nAnswer: -26, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -12 - (-130 + 131)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*m + 65, 2*m - 6*m = 5*j - 83. Let s be (-55)\/j - (-3)\/(-9). What is the second smallest value in -7, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3112, 2455, 1776, 1063, 304?\n\"Answer: -2*z**3 + z**2 - 646*z + 3759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 111\/21 - 5 - 3500\/3675. Let t = 210 - 835\/4. Which is the third biggest value? (a) 0.4 (b) i (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 39*b + 10971. Does 87 divide m(-85)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404126795.\nAnswer: 5, 80825359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3111546*a**3 + a**2 + 28*a - 13 wrt a?\nAnswer: 18669276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4797074971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 8:34 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*v**2 - 31*v**2 - 297*v**2 + 27*v**3 - 31*v**2.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, p: 1, e: 2, g: 1, c: 2}. What is prob of picking 1 p and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 350862550 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -28*a - 22*a - 38 - 14*a. Let s be y(-4). Suppose s = 5*k - 3*g + 84, -k + 28 = -g. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - 3\/(-26 + 23)*-5*8\/(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - 6 - -3) + -6 + 8. Solve 4*v - o = 3*c, -7*c - 5*v - 12 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-3))\/o*o)\/o)\/o**(-5\/9))**(-30\/7) assuming o is positive.\nAnswer: o**(220\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 2, -0.5, -0.3, -40, 37\/2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 2*f**2 + 3*f - 1. Let l(g) = -4*g**3 + 5*g**2 - 20*g + 16. Let y be l(1). Determine h(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(16)\/(sqrt(16)\/sqrt(2)) + -1*(-2 + sqrt(2))**2).\nAnswer: -20*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6013367.\nAnswer: 19, 316493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -0.08 (c) 2 (d) -2.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 95 (b) -0.1 (c) -2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/2 - 53379*x\/2 = 0.\nAnswer: -53379, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67759, -135515, -203271, -271027?\n\"Answer: -67756*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9576 - -7d0?\nAnswer: -8da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 14. Suppose -2*u = -5*i + 6, -4*i - 2*u + g = u. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 - 4*b**2 + 14*b + 23. What is q(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 4:41 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 15 = o - o - o + q, -4*o + 33*q - 1270 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-24)\/(-10))*(-442)\/((-3129360)\/11682)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + 6.9. Let i = v + -6. Let o(w) = w**2 + w - 1. Let d be o(0). Which is the second smallest value? (a) -4 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 924\/126 + 7*(-2 - -1). Let l be (1\/(-6))\/(-1) + 0. Find c, given that -f*c + 0 + l*c**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3055 = 18*p + 319. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141757116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 394\/3517 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2 + 13. Let z(q) = -q**3 + 13*q**2 - 9*q + 24. Let k be z(12). Suppose -t*y + k + 33 = 0. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1196247 - -625856. Let c = n + 800391. What is c rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39763.\nAnswer: 17, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*b**3*s**3 - 18*b**3*s*v**3 - b**3 + 2*b**2*s**3*v**2 + 3*b**2*s**3*v + 21*s**3*v**3 wrt v?\nAnswer: -108*b**3*s + 126*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from jwxwj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -768.1024 to the nearest 10.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 + -124. Suppose -16*g - c*g = -3663. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2)\/(2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16849274 is divided by 5616424.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 2, w: 3, f: 4, h: 2}. Give prob of sequence uk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04060054 rounded to 5 dps?\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475776 is divided by 163975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k + 511 = 444 - 749. Solve k*u = -2 + 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 0*v. Suppose 3*s = -0*s + 4*m - 40, 0 = -v*s + m - 20. Let n = -2 - s. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22892 divided by -5723?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/14 + 2*u**3\/21 + 2*u**2\/7 + 7. Factor p(h).\nAnswer: -2*h*(h - 2)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**5 + 490*u**4 - 12485*u**3 + 23520*u**2 - 11520*u = 0. What is u?\nAnswer: 0, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/3 + 2)*-36. Let x = 40 - w. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from mbbmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 12. What is the closest to c in -2, 2\/9, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*m = 47 + 115, 4*o + 2*m = 210. Calculate the remainder when 148 is divided by o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36288 divided by -64.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17 (b) -3\/5 (c) 2076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -394*r**2 + 791*r**2 - 413*r**2 to a*r + p + i*r**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2318*r**7\/7 + 5*r**3\/3 + r**2\/2 - 33*r - 119. Find the third derivative of a(h) wrt h.\nAnswer: -278160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 19*g - 7*g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 7*f**2 - 5*f + 2. Let u = 53 - 49. Suppose -u*o + 6*o + 3*k = -9, -2*o = 2*k + 10. Give y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 1\/3 (b) -0.5 (c) -355 (d) 15.24 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 821\/13 + -63. Let u = 197 + -201. Which is the nearest to -1\/2? (a) u (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p**4 - 18*p**4 + 0*p**5 + 2*p**5 + (-4*p + 2*p + 3*p)*(0 + 2*p**4 + 0).\nAnswer: 4*p**5 + 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 1, z: 1, a: 2, f: 2, b: 1}. What is prob of sequence kx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*i - 54 + 72, -4*w = -i - 11. Sort 4, -3, 0, -1, i in descending order.\nAnswer: i, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/2)\/((-2)\/(-4)). Suppose 3*w + 4 = -v, -2*v + 17 - 25 = 4*w. Put w, m, -1 in descending order.\nAnswer: m, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-19)\/494)\/((-2)\/(-8)). Let l = -0.26675 - 0.13325. Let m be (-1)\/(-4)*4\/9. Which is the closest to 1? (a) m (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7857\/(-270))\/291)\/(((-1)\/6)\/1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h + 40. Let u(j) = -j - 3. Let k be u(h). Solve k*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105378 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 5*o + 1. Determine t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 773, -40, -1, -12, 0, 5.\nAnswer: -40, -12, -1, 0, 5, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*t - 32, 3*t = -93617*m + 93622*m - 86 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40137)\/(-2))\/(24\/16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-48 + -64 + 142)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q**3 - 2 + 4 + 11*q**3 - 17*q**2 + 2*q**4 in the form v*q**3 + j*q**2 + k*q + a*q**4 + b and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-86)\/129 + 0 + 26\/3. Let i(o) = -o**2 + 12*o - 28. Let z be i(t). Solve -7*y + 3*y - z = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89515528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -106, 49, 254, 533, 910, 1409, 2054, 2869?\n\"Answer: 4*x**3 + x**2 + 124*x - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 >= 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:14 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*v - 205*v = 1632. What is the remainder when v is divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/((y\/y**(1\/7))\/y)))*y*y\/(y*y\/(y*y**(-2\/13))*y))**(-49)*((y**(-4\/7)*y)\/y**(-2\/25))\/(y**(1\/6)*y*y**(-3)) assuming y is positive.\nAnswer: y**(-629533\/13650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, -97, 5, -2 in increasing order.\nAnswer: -127, -97, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 10*m + 2. Let c(d) = d**2 - 11*d + 2. Let i be 2*14*(-1)\/(-4). Let o = i - 0. Let x(z) = o*q(z) - 6*c(z). Calculate x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o**2 - 144*o + 144*o + (-5 + 3 + 4)*(89 - 187 + 309)*(3*o + o**2 - 3*o).\nAnswer: 414*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 2*b - 1. Let m be j(-1). Suppose 4*r - m = 6. Let d(n) = -2*n**2 + r*n**2 + n**2. Let w(i) = 3*i**2. Determine d(w(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38053780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + (-4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -328*v**3 + v**2 - v. Let m be n(1). Calculate the remainder when 34 is divided by (-2)\/(-7) - m\/28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1204)\/360)\/(-7) - (7 - (-39)\/(-6))\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55265 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231 - -42242102?\nAnswer: 42242333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -60. Let k(c) = 40664*c**2 - 2*c - 16. Let b be k(q). Round b to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.04, -456, 1\/2 in descending order.\nAnswer: 1\/2, -4.04, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -388*n**3 + 2*n**2 - 37*n + 3. Let k(j) = -777*j**3 + 4*j**2 - 77*j + 7. Let t(b) = -3*k(b) + 7*x(b). What is the third derivative of t(m) wrt m?\nAnswer: -2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**4 + q + 6*q**3 - 2*q - 4*q**3 to f + h*q**4 + r*q**2 + j*q**3 + t*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - 3. Determine p(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 60 = 3*r, 33 = -5*h - 3*r + 125. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001936070646 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4, 11, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 3*q + 11*q)*(2 + q - 2).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f + 329*f - 2396 = -346*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -1\/33*y**3 - 146*y + 2\/33*y**4 + 1\/110*y**5 - 4\/11*y**2 + 0. Factor c(a).\nAnswer: 2*(a - 1)*(a + 1)*(a + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64422?\nAnswer: 2, 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h - 203 + 0*h - 754*h**2 + 203 + 7*h as l*h + k + w*h**2 and give w.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/((-4218)\/(-37)))\/((-6)\/(-90))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 0*k + k + (-2*k + 2 - 2)*(2 - 3 - 1) - 9 + 9 - 104113*k + 80043*k as i*k + f and give i.\nAnswer: -24065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 3*f**2 - 5*f - 6. Let r be x(-3). Let p = 106 + r. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b766 (base 12) in base 9?\nAnswer: -103406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**4\/k)*k)\/(k*k**3)*(k**(1\/3))**(-2\/31)*(k**(-6)\/(k**(3\/5)*k))\/((k*k\/k**(-2\/7)*k)\/(k*k**(3\/7))) assuming k is positive.\nAnswer: k**(-47128\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1286*i - 1287. Give p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -6181\nAnswer: -19\/6181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l - 1. Give n(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m - 2. Let g be t(1). Suppose -g*s - 1482 = -5*a, 5*s - 56 - 223 = -a. Suppose -7*p - a = -9*p. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3695265?\nAnswer: 3, 5, 7, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 9*g**2 + 15*g + 4. List the prime factors of m(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262 (base 10) to base 3.\nAnswer: -100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1025880387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 2, n: 5}. What is prob of picking 2 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14016816*m - 7008146*m - 7008667*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.9 + 41.9. Let t = 0.9 + 0.1. What is the nearest to t in 4\/9, o, 0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.43 - -3. Let q = f + -0.27. Let i = -24 - -23. What is the nearest to i in q, 2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-15) - (-4)\/10. Let v = 2 - 2. Let h = -4013 + 4014. What is the closest to 2\/7 in d, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 632, 1520, 2772, 4394, 6392, 8772?\nAnswer: 11540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2 (c) -3\/4 (d) -8 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -16*q. Let i(y) be the second derivative of y**3\/6 - 27*y. What is z(i(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + r - 1 = 0, 18 = -4*s - 5*r + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144802?\nAnswer: 2, 7, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 198.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = -20. Let t(b) = 30*b + 23*b - 64*b + 16 - b**2. Let l be t(c). Solve f - 2*w = 4*f - 6, -f + 2 = l*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j**3 + 10*j**3 + 10*j**4 + (-j**2 + 3*j**2 + j**2)*(36*j**2 - 41*j**2 - 51*j**2).\nAnswer: -158*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -20 + 71 + -25 + 72.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Suppose -t - v*k = -0*t - 65, -6 = -2*k. Suppose -t = 2*m - 7*m. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.403 - -0.203. Let l = n - -19. Which is the closest to l? (a) 2\/3 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2461 + -2473.228. Let k = x + 18.2272. Let d = k + -6. Round d to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1783 divided by -4\nAnswer: -1783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2690 - -13448\/5. What is the third biggest value in 0.3, x, 7.8, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuutgfgttgututuutrtg. Give prob of sequence tttg.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 11 + 941*k**2 + 200*k**2 + 4*k + 0*k**3 - k.\nAnswer: -2*k**3 + 1141*k**2 + 3*k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41980542 by -1398.\nAnswer: 30029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984868117.\nAnswer: 984868117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -1. Let t be (804\/42)\/(5\/35). Let a = -136 + t. What is the nearest to a in p, 3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 21*z = 4. Let a(d) = 0*d**4 + z + 12 + 3*d**3 + 2*d**4. Let x(n) = -n**4 - n**3. Let h(w) = a(w) + 3*x(w). What is the derivative of h(v) wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 1587*x + 49734. Calculate q(-32).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 9. Let j = p - -13. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*o**2 - 81*n**2*o - 60*n*o**2 + 5*n*o wrt n?\nAnswer: -2*o**2 - 162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 435092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - 12*f**2 - f - 7. Let x(z) = -9*z**3 - 24*z**2 - 3*z - 14. Let a(p) = 7*r(p) - 4*x(p). Is a(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4734)\/(-14) + (-7)\/49. Let a = n - 219. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 37 - 13 = 0. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, c: 11, o: 3, j: 3}. Give prob of sequence jcoo.\nAnswer: 11\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (4 + sqrt(2057) + 1)**2 + -6*(sqrt(2057) + 1 + sqrt(2057)) + 1.\nAnswer: -22*sqrt(17) + 2074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:02 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -2\/5, 2\/3, -0.2, 86?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -168\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128.4 + 129.4. Let l = 0.2 + -1.2. Which is the closest to -6? (a) -4 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 - 8*r - 8. Let j be v(-6). Suppose 0 = -4*u - 20, -3*u - j = -5*y + 71. Is ((-18)\/4)\/((-6)\/y) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:24 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31974670 - -31974722.6996975. Let c = -52.7 + o. Round c to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 69?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(4\/3)*y*y))\/(y*y**(2\/29)*y)*(y\/y**2)**(-12\/17) assuming y is positive.\nAnswer: y**(-5467\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*h**4 + 164633*h - 23896676 wrt h.\nAnswer: 224*h**3 + 164633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 5. Let f(l) = -l + 2. Let b(t) = -11*f(t) + 4*q(t). Let u(o) be the third derivative of 0*o + 0 - 15*o**2 + 1\/6*o**3. Give -b(k) - 4*u(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 16) in base 9?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 2*g - g)*(-14 - 66 - 154) to o*g + j and give o.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 13 = 39. Suppose 12*f = 17*f - 80. Suppose -f*u = -k*u. Which is greater: u or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.203238 rounded to two dps?\nAnswer: 234.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*3.93\nAnswer: -0.0393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -46. Suppose -i*q - 5 + 4 = -l, 5 = 5*q. Solve -r - 10 = -l*g, -2*g + r = -10 + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354 and 879.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -2, -7, 10 in decreasing order.\nAnswer: 10, 6, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + 6*g**3 - g**3 + 0*g**3 + 10*g**2 as m*g + w*g**3 + s*g**2 + t and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/5? (a) 4\/3 (b) 0 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.48001735 + -9.48. Round d to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9018253?\nAnswer: 1049, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h + 1. Let k(i) = -i**2. Let j(s) = -s**2 - s - 4. Let n(p) = j(p) - 2*k(p). Let c be n(0). Is f(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.148 - 2.128. Is -4.3 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3242219 (base 10) to base 14.\nAnswer: -6057d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3\/7 + 940*p**2\/7 + 544*p + 3824\/7 = 0. Calculate p.\nAnswer: -2, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-47)*(a*a\/a**(-2\/7))\/a*a**(-1\/6)*(a**(1\/19)\/(a**(-12)*a))**12 assuming a is positive.\nAnswer: a**(69227\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 75. Suppose 0 = -f*i + 4, -3*g = i - 6 - 10. Which is the fourth smallest value? (a) 2 (b) -5 (c) 8 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-2 - (-4 - -1)) + -18 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13 - 9)\/24*45774?\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 19 + 11. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*a. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1445*k + 3492 = -1439*k. Let m = -94 + k. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -656116246?\nAnswer: 656116245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2. Let q(y) = -y**3 + 3*y**2 - 2*y + 3. Let l be q(2). Let s = l + -1. Let f(r) = -2*r + 3*r - s*r. What is f(m(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 5) to base 7\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**3. Let z be h(1). Put -1, 0, z in descending order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283085533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 6*l + 33 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 84 = -10*k. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3\/4 (c) 0.5 (d) -63 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*k = -1925, 5*d + 49*k = 48*k + 1925. Calculate the remainder when d is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*x + 2\/3*x**2 - 2\/3*x**4 + 10\/3*x**3 + 0.\nAnswer: -2*x*(x - 5)*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + q = 16, -2*i - 6*q + q - 12 = 0. Which is the second smallest value? (a) -1\/26 (b) 2 (c) i (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 3*j**2 - j + 2*j)*(-21*j + 7*j**2 + 21*j + (2 + 2 - 5)*(j**2 - 4*j**2 + 2*j**2) + j**2 + 4*j - 4*j + j**2 - 4 + 4).\nAnswer: 20*j**4 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1890 + -1891. Sort -0.3, -17, u, 38 in increasing order.\nAnswer: -17, u, -0.3, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 2 - sqrt(5))*3.\nAnswer: 6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086 a factor of 1225924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:57 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -29\/70*s**7 - 4\/15*s**5 + 110*s**2 - 7\/24*s**4 + 0*s + 0*s**3 + 0*s**6 + 0. Find the third derivative of w(f) wrt f.\nAnswer: -2088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + -3680.\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppqqppqqpqppqqppq. Give prob of sequence pq.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-27)*(248\/31 + 13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.378007 times -0.18?\nAnswer: -3.66804126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/10)\/(-18*(-3)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/((-2560)\/120))\/((-2265)\/10)?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = -3*i + 42, -i = 5*q - 5. What is the smallest common multiple of i and (-7)\/(63\/14 + -5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821739556*p**4 - 229328*p**3 - 16*p**2 = 0. Calculate p.\nAnswer: -2\/14333, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.014 in 1, -4, 4\/45, 27, 4?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148766 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9174407 + -3352807. What is d rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Let c(m) = -m. What is c(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4902527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00080425464 rounded to seven dps?\nAnswer: 0.0008043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a factor of 37942224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/10 + 624633*s**2\/10 + 3747744*s\/5 + 11243178\/5.\nAnswer: (s + 6)**2*(s + 624621)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 7*o**2 + 3. Let d(w) = w**2 - w. Suppose -2*j + 1 = 3. Let l(a) = -a + 7. Let c be l(11). Let k(v) = c*d(v) + j*y(v). Give k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 2. Let q(t) = 4*t**3 + 4*t + 7. Determine q(n) + 4*z(n).\nAnswer: 4*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -615 + 1004. Let t = g - 375. What is the remainder when 75 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26*((-15)\/(-6) - -1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 1.1213.\nAnswer: 1.5213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*28\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -6*i**7\/35 - 29*i**6\/5 - 949*i**5\/15 - 174*i**4 - 216*i**3 + 25*i**2. Factor s(w).\nAnswer: -4*(w + 9)**2*(3*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 176442?\nAnswer: -176441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15*(-1)\/((-3)\/(-4)). Suppose 0 = -0*l - 2*l - d, -4*d - n = -2*l. Let g be (-40*4)\/(l\/(-160000)). Round g to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796*o + 5053 = 386*o - 1097 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/111 or -539?\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -28 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326 by -10431.\nAnswer: -326\/10431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -1280?\nAnswer: -21\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**2 + y**3 + 317 - 2*y**3 + 7*y - 613 + 312 wrt y?\nAnswer: -6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11512\/3 - -253393\/66. Calculate the common denominator of 91\/6 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e29240 - -1?\nAnswer: 2e29241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2340\/(-26))\/(-10)*(-7)\/(-273)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7728 and 552069.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*147)\/(((-10896)\/32)\/227)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + -5 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -10*u**3 + 0 + 0*u - 2*u**5 + 2*u**2 + 17\/2*u**4 = 0?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 4\/7, 3\/4, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 2.28493.\nAnswer: 2.78493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/3726*7\/(141645\/17562). Let c = -8\/2185 - b. Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - 5*p - 75, 5*k = -p + 62. Let r(o) = o - 4. Let a be r(6). Suppose 4*n + g = k, 0 = a*n + 4*g - 6 - 18. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.43 - -64. Let a = -0.13 - h. Let j be (-2)\/10*(-15)\/(-12). Sort a, j, 5.\nAnswer: j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 5:45 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3*v, -2*i - 13*v = -12*v + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-56))\/(400\/280).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7))**(-1\/37)*z*z\/(z\/z**(3\/5))*z*z**(-1\/17) assuming z is positive.\nAnswer: z**(56199\/22015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/(-24)*-2)\/((-2)\/96). Is (m\/(-16) + 2\/(-4))*16 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1900) - (4 + ((sqrt(1900)*1)**2 + sqrt(1900) - sqrt(1900)) + sqrt(1900))) + 5 + (0 + sqrt(1900))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37145020 at most as big as 37145019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 + 299970*v\/13 - 299968\/13.\nAnswer: -2*(v - 149984)*(v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 3*a**2 - 2*a - 4. Give s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 14 = 2. Suppose -5*o + f*n + 22 = 0, -2*n + 28 = o + 3*o. Calculate the remainder when 15 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 85. Let o be l(-25). Suppose 3*t = -2*p - 3*p + 36, -t = 2*p - 12. Suppose t + 3 = j. What is the highest common divisor of o and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:55 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-1)\/(-40)) - 0. Let v = 104 - 175. Let r = v - -81. What is the highest common divisor of r and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 33\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, w: 4, d: 3}. What is prob of picking 2 n?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 462 - 459. Solve 0*k = k + t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70873386 rounded to the nearest 10000?\nAnswer: 70870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*b**2*y**3 + b**2*y**2 + 117*b**2*y - 3*y**6 wrt y?\nAnswer: -198*b**2 - 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -11, -13, -15, -17, -19?\n\"Answer: -2*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16602160 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1505 = -5*m - 2*b, b = 3*m - 5*m + 601. Differentiate t + 303*t**2 + 159 - 17*t**3 - m*t**2 wrt t.\nAnswer: -51*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:55 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 - 198*i**2 - 4356*i - 31944 = 0 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -27. Find the third derivative of 0*p**2 + p**2 + 0*p**6 - 7*p**r - 5*p**6 wrt p.\nAnswer: -1440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169.3 + 161.6. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -5 (c) -0.9 (d) -4.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 3 + 2*i**2 + 0*i**2 + 5*i**2 with respect to i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {a: 1, z: 2, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-3 - (-105 - 14)) + -20 + 6 + -7?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - i + 27*i**3 - 4*i**2.\nAnswer: 27*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.1, 5, -87\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145878 or 52.6?\nAnswer: -145878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -21*v - 21*v. Find the second derivative of 19*r**2 + v*r - 1 + 9*r + 28*r - 1 wrt r.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h = 13*h - 547200. Let l be (-1 - 2118\/(-18))*h. What is l rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c + b + 3*b, 4*c + 5*b = -1. Let j(k) = k**3 - 26*k + 47. Let u be j(2). What is the derivative of c - u + 7 + 1 - 11*q wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2372, -4495, -6618, -8741, -10864, -12987?\nAnswer: -15110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3886?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 10*n**2 + n - 8. Let d(l) = -l + 4. Let s be d(-6). Let c be g(s). Suppose 0 = c*a - p - 60, -5*a = 2*p - 0*p - 150. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 - 95. Suppose -t*y + 2322 = -5*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 12550*a - 150741. What is t(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3\/5*n**2 + 0 + 2\/5*n**4 + 1\/5*n**3 + 0*n = 0.\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*l - 32, -3*w - 3*l + 28 = -7*l. Suppose -4*s - p = -23 + 6, 8 = -4*s + w*p. Let j(z) = 3*z + s + 0 - 4 + 0*z. Calculate j(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 0*o**3 - 2*o**3 + (4*o + 0*o - 3*o)*(-o**2 + 5*o**2 - 2*o**2) + o**3 + 0*o**3 - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -442*m + 33\/4*m**2 + 1\/4*m**4 + 13\/2*m**3 + 1156 = 0.\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 3003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -9*b - 4*h - 556, -h = -3*b + 1701. List the prime factors of b.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 8. Calculate the smallest common multiple of 16 and s(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 11 = 23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 12 = -8*t. Let n(x) = 2*x - 1. Let a be n(4). Let c = a + t. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651532 is divided by 14487.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 1\/4, -1\/3, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/16 and 1 + 1 + (-209)\/(-220)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 181 + 153 = 0. Calculate the smallest common multiple of n and 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16216.23ml in litres?\nAnswer: 16.21623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6636706997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 535.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 457, 493, 529?\n\"Answer: 36*u + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -54*k - 268. Give h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10381 = 911*a - 52287 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3 + 15 - 15 - 21 - 65*p**2 + 5. Let b(m) = -16*m**2 - 3. Determine 13*b(r) - 3*q(r).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30998 - -30997. What is the closest to 0 in 9, c, -5, 42?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 10 = -35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 4 - 6) + 3 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-13)\/((-416)\/76). Is 20 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -18, -5, 0.2 in ascending order.\nAnswer: -18, -5, -0.5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fviiixvfiriiii. Give prob of picking 1 x and 1 f.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*t + 1529*t = 482*t - 73755 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(4\/(-16)*-4*1). Suppose y = f + 143 - 399. Suppose f = -28*h + 30*h. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -182, -180, -178, -176, -174, -172?\n\"Answer: 2*c - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 0*p + 4*p)*(-231 + 13*p**2 + 231) + 340*p**3 - 163*p**3 - 159*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/(-56) - 2\/8. Let i(m) = -16*m + 10. Let s(z) = 5*z - 3. Let a(f) = -6*i(f) - 20*s(f). Calculate a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 14 = -5*y, 3 = 2*s + 5*y + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2438 + 3700. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 2103\/2744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 1 b when three letters picked without replacement from {d: 1, x: 3, g: 4, b: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9231.\nAnswer: 3, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 8*n + 25. Let w = 57 + n. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n = 38*n + 288*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 4, -27, -112, -5, -19 in descending order.\nAnswer: 4, 1, -5, -6, -19, -27, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22485 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/4 - h**2\/2 + 1. Let b be x(1). Let y be (b + (3 - 4))\/(-1). Solve r = -4*u + 2, -2*r = -u + y*r - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*c + 123 = 0, 0 = -q - 4*q - 3*c - 354. Let x = q + 36. Is 11 a factor of (x\/(-6))\/(-1)*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28107431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-1) - 1)\/((-1)\/((-42)\/(-273))). Is q greater than 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 100 and 15.61362.\nAnswer: 115.61362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -122. Suppose q = 5*i - 2*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 + -136. Solve 3*y + 3*n = 5*n + o, -n - 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 + -217. Let k = -0.233 - 0.067. What is the third biggest value in -0.02, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*j - 9*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5437*g*z**3 - 491*g + z**3 + 11*z**2 wrt z?\nAnswer: 32622*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 1, p: 2, b: 2, r: 2, m: 1}. Give prob of sequence mpf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3017.\nAnswer: 3\/3017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 3 = 0. Let q be 35\/(-20) + 8 - (-1)\/(-4). Suppose -4*u + b = -51, 3 = 5*u - q*u - 5*b. Sort u, f, -5 in increasing order.\nAnswer: -5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**4\/24 - 2*z**3\/3 - z**2. Let n be j(14). Solve -4*d - 19 = -2*k - 1, 0 = -5*d - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2853 is divided by 1333.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {x: 1, f: 1, a: 1, t: 2, o: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 7*i**2 - 9*i + 9. Let m = -7 + 15. Calculate the smallest common multiple of 6 and k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 15 - 71. Let x = 0 + 6. Let z = r + x. Put z, -4, 0 in descending order.\nAnswer: 0, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 22*t**2 + 3674*t - 5155. Determine l(72).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.4 or -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(336) + (sqrt(336) - sqrt(336)*-1 - sqrt(336))))\/sqrt(6))\/(-5*sqrt(128)*2)*-2)**2 + 2.\nAnswer: 113\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:39 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 - 70 = 4*h, -2*h = -3*t + 76. Suppose 5*b - 3*d = -2*d + 104, 4*d - t = -2*b. Is 5 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 -45, -89, -133?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 + 199. Let f = q + -67. What is v in -10*v**2 - 3*v**3 - f*v**3 + 33*v**3 = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 3*t + 5. What is the units digit of q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - -0.85. Let k = r + -0.05. Are -0.5 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44 + -0.439964. Round r to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1256 and 1413.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-57)\/2)*4\/96*-108\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 433273 and 1415?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y - 18 + 7 - 2*y**2 - 1. Let r(h) = -3*h**2 - 13*h - 24. Let v(c) = 10*l(c) - 6*r(c). Factor v(s).\nAnswer: -2*(s - 6)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6788837 divided by -6?\nAnswer: -6788837\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let s(z) be the third derivative of 0*z + 0*z**3 - 1\/60*z**5 - 21\/4*z**4 + 0 - 114*z**2. What is s(a(c))?\nAnswer: -c**2 + 126*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/1)\/(-15))\/(5\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let a(l) = l**3 + 5*l**2 - 2*l + 4. Let j be a(-5). Suppose s = -k + j. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a + 79*a + 1243 = 23*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1362045?\nAnswer: -1362044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z - z)*(161*z**3 + 267*z**3 + 5*z**3).\nAnswer: -866*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 32 (b) -0.01 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 735514.4ug?\nAnswer: 0.7355144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:40 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 56112.4 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12224*s + 134460. Calculate x(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 - 17716*p - 78464164 = 0.\nAnswer: -8858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (114 - 102)*(-1)\/3. Let a(m) = -m**2 - 4*m + 5. What is a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 84845793?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-7)\/((-7)\/(-382)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -0.2\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*x - 2034 = 5729 + 12687 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2005 + 8374 = -58*n + 272*n - 479 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4770285081 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i + 19*i**2 + 3*i - 2*i + 1 - 3. Does 16 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*z + 0 = 34, 4*x + z = -23. Is 2\/x - (33236\/(-6) - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/60 - o**2 + 13*o + 28. Let z(c) = -1928*c. Determine w(z(q)).\nAnswer: -3717184*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 699.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345 (base 6) to base 5.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 8\/5*r**2 + 4\/5*r**3 - 32\/5*r = 0. What is r?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -587 + 587 - 315*r as a + x*r and give x.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - -14.8?\nAnswer: -55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50, -90, -130, -170, -210?\n\"Answer: -40*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033022123 - -1100?\nAnswer: 1033023223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q + 8 - 8)*(30 + 16 - 23)*(2 - 2 + 2*q + (-4 - 1 + 3)*(5*q - 6*q - q)).\nAnswer: 2484*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.54 (b) -2 (c) 0.4 (d) -11\/3 (e) -0.3 (f) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 1.41.\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -2\/17 (c) -115565 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 + 53431*n + 2854871761\/2 = 0. What is n?\nAnswer: -53431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbx. Give prob of sequence xb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5.02. Let n = p - 0.49. Let x = n + 0.6. Round x to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641771 is divided by 501?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 5. Let n be o(-18). Suppose 13 + 0 = -n*f. Let r be f*(0 + -11) + 3 + -1. Solve -2*y + 2 = 4*k - 2, 3*k - y - r = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 409, 830, 1273, 1750, 2273, 2854, 3505, 4238?\n\"Answer: 2*x**3 - x**2 + 410*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49615323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 1, -20.\nAnswer: -20, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 4 - 3)*((-1 + 0 + 0)*(-3 + 1 + 1) + 3 - 2 - 2 + 0 - 2 + 6)*(g - 2 - 5 - 4) as n + j*g and give n.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 + 29\/((-29)\/(-446)) and 69.\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1686 and 10614?\nAnswer: 8928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16505\/5431 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-177)\/(-295)*(-107)\/(-9) + -7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 3*k - 24, -9 + 13 = 3*t + 4*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 13200.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 208436380*w - 2172286225375220.\nAnswer: -5*(w - 20843638)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 4*r - 176. What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-330))\/(10\/(-45)))\/((-30)\/(-100)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*(-3 + -18). Suppose 0 = -4*v + 74 - b. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8 = 28. Let n = x + -3. Solve 5*r = n + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 9. Let z be i(9). Suppose 2*n = 0, z = -3*p - 4*n + 3 + 15. Suppose -u = 2, -2*u - p = -3*w - 2. Solve w = -6*m + 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvevee. What is prob of sequence vvve?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d - d + 8*d + 0*d to p*d + h and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -387? (a) -10 (b) 2\/15 (c) -0.5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t + 1. Let a be z(1). Suppose -5 - a = 2*x. List the prime factors of ((-1)\/x)\/(1\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-16)\/60*-5. What is the highest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 2 = -9*l. What is the tens digit of -52*9\/(-6) - l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*y + 11, -4*j - 1 - 1 = -y. Suppose -4*k + 2 = -2*k. Which is the third biggest value? (a) k (b) -2\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = 4*z - 13, 0 = u - 2*z + 4. Solve -f - 1 + 0 = u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 8 - 1 - 10 + 2*m**2 in the form v + o*m + u*m**2 and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - -2 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -2, 5, -7, -4, 2 in descending order.\nAnswer: 5, 2, -2, -4, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-7 - (-6 + 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287115*k + 122*k**3 + 287385*k - 574498*k.\nAnswer: 122*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1230 and 910610.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2035, 2046, 2057, 2068, 2079?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -23.9. Let p = -0.2 - g. Which is greater: p or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - o + o)*(-8 - 2*o**2 + 84 + 207) in the form c*o**3 + d*o**2 + k*o + a and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.93 + 0.07. Let w = 3.8 + 0.2. Let q = -6 + w. Which is the nearest to -1\/2? (a) d (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:13 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -4*l**5\/5 - 12*l**4 + 60*l**3 - 8*l**2 - 240*l + 367. Let g(t) = 0. What is t?\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + (-19 - -2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*v - 3003 - 1178 = 0 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 138*c**2 + 17*c - 3. Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -742 - -1082. Let b = -112 + c. Let o = b - 228.000127. What is o rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 442. Suppose 2*a + 174 = s, 10 = -5*a + 10*a. What is the greatest common factor of s and v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u + 0*u**2 - 2\/3*u**3 - 1. Find the first derivative of w(a) wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1046)\/(-4) - 2\/4. Suppose 7*d - k = 166. What are the prime factors of d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1864, 7517, 16940, 30133, 47096, 67829?\nAnswer: 92332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/11, 81\/5, -6, 7.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-12)*((-192)\/28)\/2*20405\/(-2332)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301 + 115*p**2 - 301 + 64*p**2 - 46*p**2.\nAnswer: 133*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*m + 3 = 0, 3*m = 2*v + 7*m + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 2*y + 75. Determine t(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 5. Let h(d) = 7*d - 7. Let y be h(5). Let o = 32 - y. Calculate z(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = p + 3*g, -2*p - 141*g + 138*g - 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from mnmnmnnmwmn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4876)\/4770 + (-2)\/(-90)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*h = -80*h + 36. Put -1, -52, h, -5 in decreasing order.\nAnswer: -1, h, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 1\/24*u**4 + 2\/3*u**3 - u**2 + 0*u + 0. Let s be q(9). What is the greatest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(170) - (sqrt(170) - sqrt(170)*1)) - sqrt(170) - (sqrt(170) - sqrt(170)*1*4))\/((sqrt(810)*-2 - sqrt(810))*-3))**2.\nAnswer: 425\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 15*y + 104. Let v(p) = -2*p**2 - 18*p + 103. Let j(d) = -6*a(d) + 5*v(d). Let n(l) = 3*l**2. Give j(n(w)).\nAnswer: -36*w**4 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3538765842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 16*r**2 - 12*r + 2. Let k be 5\/2*110\/25. Let n = 4 + k. What are the prime factors of g(n)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1)*x)**(-22\/9)*x\/((x*(x**7\/x*x)\/x*x*x)\/x*x)*x*x**(-7) assuming x is positive.\nAnswer: x**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drirdkkrdddrrrddrr. What is prob of picking 1 k, 1 d, and 1 r?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (96\/20)\/(6\/(-20)). Is 1305\/2 + (-8)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) 3 (c) -2\/5 (d) 32\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4321 and 26075.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 4*(-16)\/20*1\/(6\/(-60)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780595 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 725*h*i**2 + 5*h*z - 3*h + i**3*z - i**2*z + 110 wrt i?\nAnswer: 1450*h*i + 3*i**2*z - 2*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 + 2*d**2 + 5*d\/3.\nAnswer: d*(d + 1)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*s - 69489 = 0, -3*j + 37599 = s - 31874. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p + 5*p)*(-28 + 32*p + 28) + (-7*p + 3*p + 3*p)*(4*p - 2*p + 0*p)*(1 - 1 + 1) in the form q + v*p**2 + a*p and give v.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 126 = 41*z - 4*m, 4*m - 5*m - 2 = m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/7, 4, -0.3, -11\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2469, 9940, 22391, 39822, 62233, 89624?\n\"Answer: 2490*q**2 + q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38289, 76647, 115005, 153363, 191721, 230079?\nAnswer: 268437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -3. Suppose -d*o = p - 97, 4*p + 61 = -4*o + 173. Calculate the lowest common multiple of 4 and o.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - 104. Let t = 229 + j. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -63*j - 100. Give o(13).\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*r + r - 32, 0 = -4*s + 4. Suppose -2490 = 6*q - r*q. Let v be q\/(-348) - 3\/(-2). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2 - 0. Let s = n - -4. Suppose -52 = -2*a - s*a. Solve -a = -y - 4*o, -4*y - 2*o = -2*y - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010001 (base 2) to base 14.\nAnswer: -493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -0.3, -1, 0.013?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 165, -2, 3, 0, 1 in increasing order.\nAnswer: -2, 0, 1, 3, 146, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-9)*-46)\/((-18)\/(-351)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 22*o**3 + 29 + 26 + 28 + 26.\nAnswer: 22*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008216327 rounded to five dps?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -6*s + 10*s - 32, 3*s - h - 10 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 514385*g - 1028790.\nAnswer: 5*(g - 2)*(g + 102879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**3 + x - 1. Let q be h(1). Let j(n) = n**3 + 2*n**2 - n + 1. Let z be j(-2). Suppose z*m - u = -0*u + q, 2*u - 10 = 0. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -16*w**2 + 6*w - 11. Let s(n) = -3*n**2 - 2 + 3*n + 0 - n - n. Suppose -4*t + 5*t = 4. Determine t*d(z) - 22*s(z).\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l**2 - 2*l + 2. Does 7 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - ((0 - 1) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/552 and -41\/6.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + h**3 - 7*h**2 + 3*h**2 + 7*h as f*h**3 + r*h**2 + j*h + m and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(180) + sqrt(2916)*-3 + sqrt(2916))\/((sqrt(240)\/(sqrt(20)\/sqrt(4)))\/(-4*sqrt(4)*-2))*6.\nAnswer: -856*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 0.8. Let s = w + 0.3. Let v = 0 + 0. Which is the third smallest value? (a) s (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 71*a**2 + 66*a - 62. Let y be r(1). Sort y, -5, 1, -3 in ascending order.\nAnswer: -5, -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -7683*-7\nAnswer: 53781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1600 divided by -5\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/8*((-2)\/(-6))\/(42\/28)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 4)\/(-2)*4. What is the remainder when (2\/s)\/((-2)\/116) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272 + 433 - 494)*(6 - 4 + 0)*(-2*s + 2*s + 2*s).\nAnswer: -1332*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - 122943188.\nAnswer: -122943230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + p - 5*p + 0*p. Let t(f) = -3*f**2. Give c(t(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*x - 49*x**2 - 48*x - 32*x**2)*(-6*x + 3*x + 2*x) in the form d + n*x**2 + w*x**3 + g*x and give w.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 6:14 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594158*a**2 - 170667*a**2 - 102809*a**2.\nAnswer: -867634*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/60 and 11\/27.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 412 + -268.7. Let u = f - 143. Which is the closest to u? (a) 0 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.1. Let p = 12.35 + -11.75. Let y = 0.1 - 0.2. Which is the nearest to p? (a) h (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 1. Let l(z) = z**4 - 5*z**3 + 7. Let u(t) = -5*k(t) + l(t). What is the first derivative of u(m) wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 124783307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 35*o = -50. Let x(v) = -10*v + 54. Let z be x(o). Solve 2*q - 1 = r, -q = z*r - 0*q - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:32 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*(-2)\/(6\/(-1)). Suppose 339*s = 359*s. Suppose l*d = -s*d + 9. Solve -d*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*m = 11, 13 - 5 = -2*m. Suppose 2*h + 2*h = -f + 13, 2*h = -5*f + 29. Find the second derivative of -r*n**2 + 34*n**h - 6*n + 0*n wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 175*l - 1934. Determine s(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(195\/260) - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = a + 27 - 2, -5*a + 60 = 29*b - 17*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(-12)\/120*(-5)\/22?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1\/g*g)**48\/(g**(2\/5))**(8\/17) assuming g is positive.\nAnswer: g**(8144\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*2\/(-4))\/(-1). Let s(y) = -18*y**2 - y - 2. Let g be s(-1). Let i = g - -19. Solve -h + 2*h + v = q, i = h - 3*v - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 + 36113\/495)\/(1\/50).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/242 and -137\/330.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92.4 - 92.4371. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858130379158.88 + 5.\nAnswer: -858130379153.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -4*o**2 - 4573. Suppose 5*s - 9 = 11. Let k(m) = -s*m**2 + m**2 + 0*m**2. Determine i(k(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3859671 is divided by 21091?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - x - 0*x + 1, -c - 3 = 2*x. Let t = c - 1. Suppose 3*i + 89 = 4*d, -t*i - i - 75 = -3*d. Solve -3*k = -r + 1, -3*r = 4*k + r - d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, 29158 in descending order.\nAnswer: 29158, 18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1154 - -3482\/3. Calculate the common denominator of -41\/222 and y.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h + 38*h - 19*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 1557 = 13*y. Let f = y - -239. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122254 (base 7) to base 14\nAnswer: 8264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(9\/21) + -2. Suppose 4*o - w*m = -19, 2*m = -3*o + 6 - 3. Let h be 2\/(-56) - 4\/(-14). Put o, 0.4, h in descending order.\nAnswer: 0.4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4*n - 4, 0 = -2*k - 3*n - 10 + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 110. Suppose -5*g - 3*p = -5*p + 6, 3*p = -i*g + 9. Solve 4*q - 2*x + 12 = g, -2*q + 0*q - 6 = 2*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3)*207\/46. Let c be a\/(-3)*-1 + (11 - 7). Suppose -20 = -g + 3*l, -5*g + 3*g - l + 12 = 0. What is the greatest common factor of g and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - ((-180)\/8 - -10). Let j(w) = 2*w**2 - 28*w + 30. Let a be j(m). Solve -a*r - 12 = -8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**3\/3 + 82*r + 8881. Let k(g) = g**2 - 20*g. Calculate k(x(c)).\nAnswer: c**4 - 144*c**2 + 5084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 12*b + 32. Let s(u) = -u**2 - 4*u + 11. Let x(g) = -3*j(g) + 8*s(g). Let t be x(-6). List the prime factors of t - (0 - -2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5859 - 3383. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -551 - -546. What is the second biggest value in 3, 1\/33, x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 12498 = -12666 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5682 - -0.4682. Which is the closest to -4? (a) n (b) 1\/2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - r - 1. Let q(g) = -125*g**3 + 21*g**2 + 2*g + 2. Let a(u) = -q(u) - 2*w(u). What is the third derivative of a(d) wrt d?\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/7))**7\/((j\/(j**(-1\/6)\/j))\/j*j\/(j*j**(-1)*j)))\/((j\/j**(-1))**(25\/3))**(-17) assuming j is positive.\nAnswer: j**(1747\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*a**4 - a**3 - 8*a**4 - 2*a + 0 to v*a**2 + g*a**3 + s*a + h*a**4 + q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/21 + -4\/7. Let g(y) be the second derivative of 0 - 1\/4*y**2 + 3*y - 11\/24*y**3 - a*y**4 - 7\/80*y**5. Factor g(i).\nAnswer: -(i + 1)**2*(7*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -10. Suppose d*i + 5*h = 15 + 1, 3*i - 4*h = 12. Solve 2*b - 24 = -0*b - 4*v, i*v - 28 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -20*f - 65 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 18 = 18. Let a = -3.4 + 3. What is the closest to a in g, 2\/11, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 4867?\nAnswer: 700848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:54 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 5 + -2 - (652 - 624)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1196)\/130)\/(1\/(-60)). Suppose -w + 3800 = 14*a. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n + 1. Let a(k) = 17931 + 5*k - 8973 - 8962 - 14*k**2. Give a(j) + 4*l(j).\nAnswer: -18*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-2613)*(-536)\/(-20)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*r**4*v - 88*r**3*v + 125*r*v + 10*v wrt r?\nAnswer: 204*r**2*v - 528*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - 4*a**2 + 2*a**2 - 6 + 3*a**2 + 9*a. Let q be o(8). Put q, -1, 2\/7 in increasing order.\nAnswer: -1, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.065 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 999 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 q = -34 + 86. Let p = q - 32. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2310*d**3*q**2*w**2 + 1261*d**3*q**2*w - 2*d**3*q*w**2 + 3211*d**3*w - d**2*w**2 + 130*q wrt q?\nAnswer: -4620*d**3*w**2 + 2522*d**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 9*j - 7. Let d = -44 + 37. What is k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430.1457 weeks to nanoseconds.\nAnswer: 260152119360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97099*k + 81130 with respect to k.\nAnswer: -97099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a millimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.7 + 28657.23495?\nAnswer: 28708.93495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 5*i + 3*i)*(2*i + i - 5*i) + 13*i - 13*i + i + 5*i**2 - 7 to the form l*i + o*i**2 + h and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*k - 213*k + 16 = 0. Let d be (3 + -6)\/(2 - 1). Let q be 102\/k*(d + -5). What is the highest common factor of q and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 599372 and 80272?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 24. Suppose c + 3*k + 1 = 0, 5*k - 13 = -0*c + 2*c. What is the lowest common multiple of 14 and v(c)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12663, -101320, -341967, -810600, -1583215, -2735808, -4344375?\n\"Answer: -12666*c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 2*v**3 + 123 - 44 - 18 - 61.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*o**5 - 7*o**5 + 4*o**5 + (-3 - 3 + 5)*(0*o**2 + 0*o**2 + o**5).\nAnswer: -19*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-3)*((-330)\/105)\/(-11)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 4 + 2)*(-6 - 1 - 7)*(-31*y**3 + 15*y**3 - 26*y**3) to the form v + p*y**2 + n*y + l*y**3 and give l.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 8 + 1\/3*z**3 - 22\/3*z.\nAnswer: (z - 6)*(z - 1)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 + 311926*c**3 - 106*c - 1341.\nAnswer: 20*c**3 + 1871556*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-4)\/5)\/(88\/1980) - 2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150163930 to the nearest one million.\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y - 620 + 620 in the form f + o*y and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-10)*(-160)\/416?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 - s. Let k be -6 + 4 - 220\/5. Let d = k - -44. Calculate n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z + 2. Let d(b) = b**2 + 44*b + 3. Let a(l) = 2*d(l) - 9*o(l). Determine a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897898 take away 0.065?\nAnswer: 897897.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 27455 (c) 1\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03141? (a) -5 (b) -2 (c) -46.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -1.5 (c) -0.3 (d) 3 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = q - 2. Suppose 0 = 3*f - 8 - 31. Calculate the greatest common factor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258998736?\nAnswer: 2, 3, 313, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {i: 2, l: 2, o: 3, g: 1, w: 3, e: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -488 + 495. Sort 5, 0, 4, y.\nAnswer: 0, 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyym when four letters picked without replacement from wywyfm.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l + 2. Let g be z(-4). Let u = g - -15. Sort 0.1, -0.2, u, 0 in decreasing order.\nAnswer: u, 0.1, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 0 - (447 - 418)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j + 3*j + 15*j)*(-17 - 2*j + 17) + j**2 + 0*j**2 - 1 + j - 3*j.\nAnswer: -59*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*d + 3*j, -5*d = 12*j - 16*j - 25. Solve 0 = -d*a + 6 + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r + 3. Let u be s(-5). Suppose -u*n - 10 = 14. What are the prime factors of 4\/n - (-38)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.04 (c) -1.3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 = 5*v, 0 = -2*u + 8*v - 4*v. Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92671 is divided by 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759834 is divided by 4396.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (-24)\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umlmlwddwdddu. Give prob of picking 2 m and 1 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from tttettetttetpvtp.\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 112, 215, 318, 421?\n\"Answer: 103*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -137.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 + 3447*g - 74169. Calculate d(21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -1637?\nAnswer: -2291.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 + 7*p - 7. Calculate v(5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6464436 - 3464420. Suppose 4*a = -4*x - 2400016, 2*x + 3*x + 4*a = -l. Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnwnw. What is prob of sequence nw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 0 + 2*s**2 - 3 + 4 + (-5*s + 5*s + 6*s)*(0 - s**2 + 0).\nAnswer: -5*s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*u - 197*u - 1150*u**3 + 358*u.\nAnswer: -1150*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)**(1\/18))**(-6\/13)\/(((j*j**(-1\/2))\/j)**(26\/3)\/((j\/((j*(j\/(j**(-6)\/j)*j*j*j*j*j)\/j*j)\/j))\/j**(-2))) assuming j is positive.\nAnswer: j**(-223\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 164\/44 + -4 - (-6077934)\/583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -641.4 - -641. Let i be 90\/(-120) + (-5)\/(-12). What is the nearest to i in g, 3, 0.9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 1\/16*d**2 - 1\/240*d**6 + 0 - 1\/24*d**3 + 1\/80*d**5 + 0*d**4 - 84*d. Factor v(j).\nAnswer: -(j - 1)**3*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.512091ng to milligrams.\nAnswer: 0.000000512091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7084 and 164.\nAnswer: 290444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*s - 12, 8*v = 4*v - s + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*v + 3*k, -5*v = -10*v + k - 1. Solve q - 4*y + 1 + 22 = v, -10 = -2*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 136*p**2. Let o(t) = 444*t + 10. Let s(u) = -198*u - 5. Let r(q) = 4*o(q) + 9*s(q). Calculate n(r(c)).\nAnswer: 4896*c**2 + 8160*c + 3400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 4*p + 8. Let y = 187 + -185. What is the first derivative of y*d - p + d - 14*d wrt d?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99)*-2)\/sqrt(9) + sqrt(33)\/sqrt(108))**2 - (0 + sqrt(121)\/(sqrt(1331) + (sqrt(1331)*-1 - sqrt(1331)) + sqrt(11)) + -1)**2.\nAnswer: -sqrt(11)\/5 + 11369\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 - 111*f**3 - 4150*f**2.\nAnswer: 120*f**2 - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeqe when four letters picked without replacement from {q: 2, w: 1, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**3 + 1179*g**2 - 4716*g + 34. Give u(4).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 + -162. Let t = 33 - z. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 6. Let a(p) = 1. Let d(m) = -6*a(m) + z(m). Let v(u) = 21*u. Determine d(v(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 6. Let d(u) = -4*u + 24. Let h be d(5). Let w be j(h). Solve -5 = -w*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -16*r**5 - 10510*r**4 + 1073394*r**3 + 27182422*r**2 + 153587302*r - 19625232 = 0.\nAnswer: -744, -11, 1\/8, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230187, 460414, 690641?\nAnswer: 920868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1. Let z(k) = k + 6. Let l(h) = 3*b(h) - z(h). Let f be l(-9). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -3*v + 5*p, 0 = 5*v + 37590*p - 37579*p + 330 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -919, -942, -965, -988, -1011?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*b + 802*b - 2*q = 7, 3*q - 27 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6379.4 * -1.2.\nAnswer: 7655.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 - (-4)\/3. Sort -3, -1, a.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -621\/7 - -89. Let t = 0.07 + 0.06. Let h = 0.43 - t. Which is the nearest to 2? (a) q (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 7. Let s be l(-6). Suppose -5*v + 14 = 2*k, -s*v + 0*k + 5*k = 0. Suppose 2*t = v*z - t - 3, 0 = z + 4*t - 29. Solve w = 4*w - z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -652 divided by 163\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m. Let d(o) = 11*o + 22. Let v be (-28)\/(-10) + (-3)\/(-15). Let t(w) = -4*w - 7. Let z(j) = v*d(j) + 8*t(j). Give z(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 5*q**2 + 3*q**2 + (-3*q**2 + q**2 + q**2)*(6 + 0 + 3) - 24*q**2 - 218*q + 218*q as h*q**2 + z + m*q and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 3, e: 6, r: 3, f: 1}. Give prob of picking 1 v and 2 r.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12095*a*g**2*n*p**2 + 4*a*g**2*n + 7*a*g - 9*g**2*n - g*n*p + 2*g*n - p wrt p.\nAnswer: -24190*a*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 2165458?\nAnswer: -2165458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = 8, 5*n = -h + 44. Let u = -5 + n. Suppose 0 = -u*r + 15 + 21. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/296 - (-498)\/1680)*7\/(-4)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*c - 3762*c + 922*c + 942*c + 948*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9797173, -19594355, -29391537, -39188719, -48985901, -58783083?\n\"Answer: -9797182*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - 319?\nAnswer: -30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106\/9 - 104\/9. What is the closest to 1 in -0.2, -8, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -399040, -2, -4, -5 in decreasing order.\nAnswer: -2, -4, -5, -399040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 23*w**4 - 5*w**2 - 5*w - 16. Let n(y) = 11*y**4 - 2*y**2 - 2*y - 8. Let r(o) = 5*n(o) - 2*z(o). Find the first derivative of r(m) wrt m.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15733 at most 15725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0409 - -0.0591. Sort -2\/11, 0, 35, j in ascending order.\nAnswer: -2\/11, 0, j, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6 - 6059343862124?\nAnswer: -6059343862129.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3385396, 3385376, 3385354, 3385330, 3385304, 3385276, 3385246?\nAnswer: 3385214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = 2935 - 9613. Let b = -466 + v. Let c(n) = n**2 - 11*n - 12. Calculate c(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899265.7 minutes to milliseconds.\nAnswer: 53955942000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 4. Suppose 4*h = 2*w + 10, -5*w + 26 = 5*h - 3*w. Let s(u) = -u**3 + 5*u**2 - 4*u. Let x be s(h). Solve c + 3 - r = x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -b. Calculate the remainder when 7 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19109 divided by 3.\nAnswer: 19109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 9*y + 3. Let t be z(9). Let i(x) = -x**3 + 3*x**2 + 3*x - 1. List the prime factors of i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4103.\nAnswer: -4103, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 8*l + 31*l - 62*l + 24*l.\nAnswer: l + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5)\/((-280)\/(-226)))\/((-4)\/8) and 129\/260.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -60, -228, -558, -1104, -1920, -3060, -4578?\nAnswer: -6528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22\/13 - -53\/39. Which is the nearest to -1? (a) n (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3\/7*d**2 - 120\/7*d + 528\/7 = 0.\nAnswer: -44, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**2 + 188*o - 36. Let b be v(-19). Solve 2*x - 4*z = -b, -x = 2*x - 4*z - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 117, 137, 159?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5752, -23295, -52582, -93607, -146364, -210847, -287050, -374967?\nAnswer: -474592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 - 577*j**2 - 360 + 279*j**2 + 297*j**2.\nAnswer: 22*j**3 - j**2 - 360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -432*a + 2. What is z(1)?\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = 5*s + 3*x, -s + 2*x - 7 = -104. Let k = s + -815\/9. Suppose 0*r**2 - 2\/9*r**4 + 2\/9 + k*r - 4\/9*r**3 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98.3 - -21.7. Let h = -121.4 + v. Let o = -1.39944 - h. What is o rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*75\/(-30).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -13, -52, -129, -256, -445, -708, -1057?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9579008 is divided by 103000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6) - (-162)\/(-180). Which is the closest to -1? (a) -13 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746242811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 9 + 3 + 26*q**3.\nAnswer: 19*q**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**5 + 4*p**5 + 5*p - 4*p + (-2 + 2 + 2*p)*(-5*p**4 - 12*p + 12*p).\nAnswer: -14*p**5 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10649372*b**3 + 3587*b**2 + b - 88.\nAnswer: -63896232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1080)\/(-9))\/((-3)\/138500 + 0). Round t to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 27\/12 - (-1870)\/136.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/33 and 163\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f - 1. Let o(v) = v**3 - v. Suppose k - 10 = -4. Let g = -5 + k. Let t(j) = g*i(j) + o(j). What is t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -343\/5, -2 in decreasing order.\nAnswer: -2, -5, -343\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(5)*2 + 0)*-1 + (0 + sqrt(320)*-1)**2 + 5.\nAnswer: -2*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**2 + 35189 + 35194 + 35171 + 35186 - 15*l**2 - 140740.\nAnswer: -46*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.09242881 to 4 dps.\nAnswer: -1.0924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15726309 and 47178927?\nAnswer: 47178927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1994086 and -6.\nAnswer: -1.1964516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i + 18 + 13*i - 77891*i**2 - 18.\nAnswer: -77891*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713869626 to the nearest integer?\nAnswer: 26718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -844 or -846?\nAnswer: -844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 49 - 209 = 0. Let k = 7 + -7. Suppose k = -7*w + 5*w + c. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*v - 11221, 28*v - 4 = 26*v. Is 52 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*l - 1421 = -68 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w + 0*w)*(w + 0*w - 3*w) + (2*w - 6*w - 3*w)*(-w**2 + 0*w**2 - 4*w**2).\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 60 = -18. What is the common denominator of 12\/g + (-79)\/66 and 115\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420319024, 420319026, 420319028, 420319030, 420319032, 420319034?\nAnswer: 420319036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 19. Give n(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q. Let c(v) = 12575*v. Give s(c(l)).\nAnswer: -37725*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -204, 209, 1180, 2895, 5540, 9301, 14364?\nAnswer: 20915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/25)\/(((-20)\/30)\/((-430)\/(-6))). Solve 0 = -2*y + h + 2, 3*y + 173*h - m*h = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/484710 and 101\/33705?\nAnswer: 10178910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756 and 68.\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/3 + -18 + 14. Suppose -j - 31497 = -3*n + k*j, 10496 = n - 4*j. What is n rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -19*a + 1 + 0 + 0. Let b = 93430 - 93431. Determine p(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:24 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 103\/(-4) - (-42)\/(-24)*80\/112\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -24 + -11 + 10.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - r. Let a(p) = 4*p**2 + 8. Give -a(j) - s(j).\nAnswer: -3*j**2 + j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228 + 7*j + 229 - 3*j**3 - 4*j to v*j + o + a*j**2 + t*j**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-18))\/(4\/18). Determine f so that 2 - 8*f + 12*f**2 + 0 - 5*f**b + 4*f - 5*f = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8048212?\nAnswer: 2, 257, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 369*y**4\/4 - 1453*y. Let x(a) = 4*a**2. Give x(h(k)).\nAnswer: 4901796*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.7095 (b) -4 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v - 3*l + 9, -903*l - 9 = -v - 906*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, -0.4, 3, -10, -0.12, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5033833 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-72)*(-24)\/25.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.1, 1\/2, 195202.\nAnswer: 1\/2, 30.1, 195202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/95 - 4\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*6\/(-2) + 0. Suppose -10 = -5*i - 4*l, -4*l + 0*l + 24 = -2*i. What is the units digit of (191\/3 + b)\/(i\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(343)*-2 + -3)**2.\nAnswer: 196*sqrt(7) + 1421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(-1215)\/2673\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 4, -34461 in ascending order.\nAnswer: -34461, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -574.\nAnswer: -5\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 24 + 129. Suppose -6*l + 27 = -t. Let y = 14 - l. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/29685546 and -34.\nAnswer: 29685546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 12. Let m(f) = f**2 + 7*f - 2. Let i be m(-6). Let d = x + i. Solve 2*l - d = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262*-0.007572.\nAnswer: 1.983864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 144 = -0*i - 4*m, -3*i - 4*m + 111 = 0. What is the remainder when 1365 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 22*u - 19*u, 25 = -3*t - 11*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -39. Let k = 21 + g. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 19*x**3\/6 + 9*x**2 + 23*x. What is the derivative of i(s) wrt s?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (13 + 314)\/(-1 - (-6)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 5*z**3 - 2520*z**4 + 2560*z**4 + 4*z**3 to the form b*z + x*z**2 + t*z**3 + i*z**4 + u and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (5\/(-10) - (-2 + 3\/10)). Let h = 9.5 - 10. Which is the smallest value? (a) 4 (b) -2\/11 (c) h (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**4 - 28*t**3 - 240*t**2 - 951*t - 1376. Let r(n) = 2*n**4 + 2*n**3 + n + 1. Let m(a) = 2*r(a) + 2*y(a). Find v such that m(v) = 0.\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3 - 3)*(18 - 17 + 20).\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(12\/3))\/((-1)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -9398, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*p - 1472, 2*z - 29*p - 1448 = -30*p. Calculate the greatest common divisor of 312 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2 + 1)*-96. Let u be 0\/((m\/4)\/4). Suppose -5*o = 5 + 15. Sort o, -2, u in decreasing order.\nAnswer: u, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d - 1. Let r(g) be the first derivative of 47 - 5\/2*g**2 - 2*g. Determine -r(u) + 2*z(u).\nAnswer: 2*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbbbxbbbxbbbx. What is prob of sequence bbbb?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226749491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*v = 768. Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 1 f when three letters picked without replacement from cexfbctb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p + 0*p)*(1 + 0 + 1) - 921*p - 1613*p - 1959*p - 222*p - 3944*p as i + c*p and give c.\nAnswer: -8655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 305 - 2ab22a?\nAnswer: -2aab25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 972\/30 - 2\/5. Suppose 3*x = -c - 19. Which is greater: x or -18?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14904 is divided by 14767?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 5. Let d(f) = 7*f**2 - 11. Let g(i) = -4*d(i) + 9*n(i). Let z = 3 + -3. Let x(j) = 7 + 8*j**2 + 0*j + z*j. Calculate -14*g(h) - 2*x(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 111662880\/2171 - (0 - (-4)\/(-26))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*f - 194*f + 2052 = 39341 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14*n + 13. Let g(z) = 7*z + 6. Suppose -18 + 8 = 5*x, 2*x - 61 = 5*t. What is t*g(s) + 6*i(s)?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 2*p + 103. Let o be q(0). Let c = 110 - o. Solve -c*h + 3*h = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 69, 2598?\nAnswer: 2598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*h + 88*h = 234*h + 12855 + 17427 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f**3 - 3*f**2 + 8*f + 28. What is the smallest common multiple of 20 and l(-4)?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47969?\nAnswer: 47969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17004 divided by 327?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 224 = 19*h + 19*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 762028555 divided by -3.\nAnswer: -762028555\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 42, 73, 112, 159, 214?\n\"Answer: 4*q**2 + 11*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 125\/15*(-20)\/150*(-21)\/(-28)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -176, -343, -510, -677?\n\"Answer: -167*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:51 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7698 and 11496?\nAnswer: 14749368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*f + 1 + (f + 3*f - 3*f)*(1 + 1 - 3) + 2 + 7*f - 2 - 5 - 5*f + 5 - 84*f in the form g + t*f and give t.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 997983 greater than 997984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**5 - 53*z**4 + 173*z**3 - 14*z**2 - 817*z + 979. Let o(a) = 27*a**4 - 87*a**3 + 6*a**2 + 408*a - 489. Let h(u) = 3*d(u) + 7*o(u). Factor h(w).\nAnswer: -3*(w - 3)**4*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-818 + 412 - 18*r + 414)*(2*r**3 + 1 - 1) to the form n*r + t + h*r**3 + x*r**2 + z*r**4 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4459098 is divided by 165151?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7.57 (b) -3.5 (c) -73 (d) -0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4534, -2, -4 in descending order.\nAnswer: -2, -4, -4534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(12) - -2*sqrt(12)) - (sqrt(12) - sqrt(108)\/(-1*sqrt(9)))))\/(sqrt(576)*4 + -3*sqrt(324)).\nAnswer: 68*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -350, -1309, -2876, -5057, -7858, -11285, -15344, -20041?\n\"Answer: -g**3 - 298*g**2 - 58*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.55*10\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -5 (c) -1\/55 (d) -0.4 (e) 76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010100010 (base 2) in base 15?\nAnswer: -35bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 47 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*f + 78, 29 = 4*k - 4*f - 47. Calculate the highest common divisor of k and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.090687?\nAnswer: -0.0453435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-5))\/(7\/(-35)). Let q = p - -8. Let j(v) = 23*v**2 + 1. Is 11 a factor of j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/8)\/((-3)\/8). Suppose 10 = 7*o - 2*o. Suppose -3*c - 12 - 3 = 0, 34 = 3*g - 5*c. Solve o + q = g*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3673523392 to the nearest integer?\nAnswer: 60610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -771.\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283072, -283083, -283108, -283153, -283224?\nAnswer: -283327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 191*d**2 - 417*d - 7363. Let i be h(-189). Let k(v) = -v - 6. Let y be k(-3). Which is the third smallest value? (a) i (b) y (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 13) in base 3?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + -53. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 2*q + 1. Let u be k(2). Suppose -2*i + 13 = 11. Let b = u - i. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*f + 5686 = 534*f - 7754 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1220, 1286, 1352, 1418?\n\"Answer: 66*k + 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 6. Suppose z*m - 6 = 2*m. Suppose 0 = a - 3*f - 11, -f - f = 3*a - 55. Calculate the lowest common multiple of m and a.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2. Suppose -5*a - 1 = -4*a, 3*w + 4*a - 23 = 0. Let q be (5\/(-3) - -2)*w. Let y(t) = -t**2 - 4*t**2 + q*t**2. What is y(s(b))?\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngm when three letters picked without replacement from {n: 1, l: 3, h: 4, g: 2, m: 1, f: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59, -39, -7, 43, 117, 221, 361?\n\"Answer: l**3 + 13*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 263426\/22 + 99\/1089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:54 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + o - 126 = 0, -4*b - 3*o + 38 = -54. What is the remainder when 49 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 933, 3730, 8391, 14916, 23305, 33558?\n\"Answer: 932*c**2 + c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 64833*t. Let r(w) = -217*w**2 + 1. What is r(y(v))?\nAnswer: -912119981913*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*3\/15*670. Find the common denominator of -1*12\/8 + c\/(-48) and 103\/138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-12))\/(44\/726)?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 481212330 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -451, 19 in decreasing order.\nAnswer: 19, -5, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/8)*k*k)**(-21) assuming k is positive.\nAnswer: k**(-525\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 1\/5, -1, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3852 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 6*f - 1. Let a be l(5). Solve 0 = -3*d + 13 - a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w**2 + 71*w + 117. Determine p(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5514 times -13895?\nAnswer: -7661.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w - 120. Let j = 42 - w. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219145 is divided by 54468.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-15)*(495\/891)\/((-2)\/(-60))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62608 = 8*y - 31760. Calculate the greatest common factor of y and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (12 + -1 - 156\/5070)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 571343603 divided by -3\nAnswer: -571343603\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 2:34 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from dppdjdjdjdpdddmmddjj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4596 - 7448631.\nAnswer: -7444035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**7\/210 - u**4\/12 - 3*u**2. Find the second derivative of a(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.4 and -4.82?\nAnswer: 98.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 72*a + 16. Calculate t(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13617405589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 716479 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(2*m**2 + 3 - 3) + 4*m - 2*m**2 - 4*m + (-m**2 + 2*m**2 - 2*m**2)*(0 + 1 + 1).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(16\/5))**(-33)*(y**(-6)*y**(-1\/4)\/y)**5 assuming y is positive.\nAnswer: y**(599\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:59 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42710, -43046, -43382, -43718?\n\"Answer: -336*t - 42374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/336 - g**6\/60 + g**4\/24 - 7*g**2. Factor b(a).\nAnswer: a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110001 (base 2) in base 6?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -59*j - 16. Is v(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 13 + 12. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/2 - 2928*l**3 - 870963*l**2\/2 - 15992329*l = 0?\nAnswer: -73, 0, 6002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 4 in descending order.\nAnswer: 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**(1\/19))**(-22) assuming n is positive.\nAnswer: n**(11\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 28034, 15, -0.05 in decreasing order.\nAnswer: 28034, 15, 0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v + 8. What is z(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + i**2 + 1 - 29*i**2)*(4 - 5*i - 4).\nAnswer: 140*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/27 and -5\/96501?\nAnswer: 868509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 38. Suppose 2*o + 5771 = 5*l + 5761, -4*l + 8 = o. Solve o = -5*b + 3*h + 40, h - 4 = b - t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 1220, 1608, 1744, 1550, 948, -140?\nAnswer: -1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0404 - -658.\nAnswer: 656.9596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g - 54. Let r be d(8). Let i(v) = 476*v**3 - v**2 + 5. Is i(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -12, -2.1, -3\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/5, -3, -846, 626\/17.\nAnswer: -846, -3, 0, 3\/5, 626\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in 3\/4, 0.1, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -379 - -381. Let j be (-133)\/(-76)*y\/(-14). Let m = -1 + 0.9. Which is the fourth biggest value? (a) 1\/5 (b) m (c) -3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 7. Let c be b(7). Suppose -4*o = -c - 13. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -385 + 3107. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14301 (base 5) to base 7.\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - 2 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7 - 6 - -7) + -16 + -72.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -145, -647, -1671, -3391, -5981, -9615?\nAnswer: -14467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z - 4*n + 90 = 0, -3*z + n + 149 = 0. Let p = -8 + z. Suppose 0 = 36*o - p*o. Solve -4*i - i = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*s - 66, -3*s + 4*s - 78 = -4*o. Let y(z) = -5*z**2 - 65*z + 155. Let l be y(2). Solve -l*n - 7 = 4*j - 2, -j = -3*n - o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 5. Let x(r) = -5*r**2 - 29*r + 4. Give z(x(c)).\nAnswer: -10*c**2 - 58*c + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -209*f**3\/3 - 4478. Let n(i) = -19*i**2. Give t(n(k)).\nAnswer: -75449*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3535, 3497, 3451, 3391, 3311?\n\"Answer: -i**3 + 2*i**2 - 37*i + 3571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3524853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/825*-3 + 12\/(-20)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5060688 divided by -81624\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 - 2*u**4 - u**4)*(5*u - 3*u - 3*u) + 3*u**5 + u**5 - 6*u**5 + 0*u + 0*u - u**5.\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 75. Suppose 23*k - 175 = 16*k. Let m be n(k). Solve -4*h - 16 = -m*v + 4*v, 3*v + 5*h + 16 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*w + 134, 5*p - 299 = 5*w - 79. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**3\/y)*y**(2\/5)*y)**(3\/16)*(y**3*y**8)\/(y*(y\/y**(-1\/4))\/y*y**9) assuming y is positive.\nAnswer: y**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 divided by 127?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-24)\/(3 + -6)*32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399.08 rounded to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 547*g + 15013. Calculate k(29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3601011, -3601007, -3601001, -3600993, -3600983?\nAnswer: -3600971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*l**2 + 163*l**2 + 47*l**2)*(99*l + 1 - 3 + 2).\nAnswer: 11286*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140323 + -10?\nAnswer: 140313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 42 = 2*c + 3*c, -2*p = -3*c + 12. Let h be (-1040)\/(-30) - (-2)\/c. Suppose -w + h = -57. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 34, 173, 456, 931, 1646, 2649?\nAnswer: 3988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/988 and -109\/468.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10818 and 2682.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - i = 6, -4*y - 4*i + 9 + 7 = 0. What is the lowest common multiple of 42 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4557 = -2*i. Suppose 4*u = -d + i, -4040 - 577 = -3*d + 3*u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -1 + -6 + -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 a when three letters picked without replacement from atatntanataatatt.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:53 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/16*18 + -2. Let v = 36 - 107\/3. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -893 - -783. Are l and -111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -7*d + 4. Suppose -4*g + 2*i + 3 = -7, 3 = d*g + 5*i. What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 750. Is 30 a factor of j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2 + (-447)\/(-3)). Let a = g - -284. Calculate the remainder when a is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -243850*h**2*w**2 + 33*h**2*w + 256*h**2 - 225*h - 259 wrt w?\nAnswer: -487700*h**2*w + 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048306136.\nAnswer: 2, 3797, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1962*u - 55 = 1972*u + 7*b, 0 = -5*u + 3*b + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3271, 3273, 3275?\nAnswer: 3277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 4*h - 4 + 0*h**2 - 2*h. Let p be w(-5). Let y(v) = -v - 12. Let k be y(-12). Is p greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 4*h**2 - 2*h + 6. Does 20 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1224\/14)\/((-93)\/(-868)) is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -8. Suppose -2*d - 12 = -2*i, i - 9 = 4*d + 9. Let a(h) = 2*h**i + t*h**2 - 6*h**2. Let f(c) = 2*c**2. Determine a(f(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 a factor of 1805305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91825 + 307*w**3 + 91825 + w**3.\nAnswer: 308*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 2, z: 2, d: 11, s: 1, h: 2}. What is prob of sequence je?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 24 = -2*f, 0 = -8*s + 3*f + 247234 - 247345 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -165729\/147950 - -1\/5918. What is the common denominator of w and (-28)\/((15\/2)\/(-3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 13. Sort 0, g, 1 in ascending order.\nAnswer: g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16658*s**4 - s**3 + 971*s**2 + 19?\nAnswer: -399792*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 12*t**2)*(-t + t + 2*t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14386705*-3.\nAnswer: 43160115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {d: 9, u: 1, a: 1, n: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/3*n**6 + 0*n**4 + 6*n - 4\/7*n**7 + 0*n**2 - 83 + 0*n**5 + 5\/3*n**3. What is the third derivative of f(y) wrt y?\nAnswer: -480*y**3 - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-6*(-5)\/(-20)) + 3. Calculate the common denominator of ((-56)\/32 - u)*-34 and (-351)\/96 + 2\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9456 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c - 13e?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -66*-7*11\/462. Solve 3*a + 2*o = -11, 64*a - 63*a - l = 3*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 13 + 13.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlh when three letters picked without replacement from httwlwfh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016418 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 9330*q**3 + 5103605*q**2 + 700832280*q + 28212067280.\nAnswer: 5*(q + 89)**2*(q + 844)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14675\/17 - 863. Do 1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*j + 24 = 154*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10282 rounded to 3 dps?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) -0.5 (c) -5.6676 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09999962 - 0.1. Round q to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2851, -4, -1 in decreasing order.\nAnswer: 2851, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7\/3 (b) -1\/5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkgayykyagm. What is prob of sequence mg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 4, g: 7, b: 1, h: 4, y: 1}. Give prob of picking 2 h.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/512500 and -28\/13325?\nAnswer: 6662500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 44*u - 436. Calculate k(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + m = -2*m - 19, -5*w = -5*m - 20. Let n be 1*-13 + 3 + w. Is -10 + 10 - n*11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-21)\/j)\/j*j**(-46)*j)\/((j\/(j*j*j**24\/j*j))\/((j*(j*j**43)\/j)\/j)) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11959951 or 11959941?\nAnswer: 11959951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:04 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126.041314 + 126.309. Let d = o - 0.268. Round d to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4693092 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/7, -0.0198, -2, -5?\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1eff (base 16) to base 5.\nAnswer: -223220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 10. What are the prime factors of z(-5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/24353352 and -65\/44647812.\nAnswer: 267886872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*m + 1, 2*m + 4*p - 2*p = 2. Suppose -3 = -m*g - 1. Suppose 76*z = 72*z. Solve z = -t + g + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 14. Let i(f) = -f**3 - 17*f**2 + 28*f + 11. List the prime factors of i(b).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 times -4?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*m - 236, -4*m + 4*z = -0*m - 196. Suppose 0 = 21*l - m + 6. Factor 0*q - 1\/6*q**l + 1\/6.\nAnswer: -(q - 1)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*n - 639 = -491 - 2007 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14182544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 77.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.644 and 1.1.\nAnswer: 2.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2814.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 171, 1 in increasing order.\nAnswer: 1, 23, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3153169.\nAnswer: 3153169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(396) + (1*sqrt(528))\/sqrt(12) + sqrt(44))\/((sqrt(324)\/sqrt(81))\/(-6*(sqrt(9)*1 + sqrt(9)))).\nAnswer: -720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01303967 rounded to four decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84861?\nAnswer: 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*l*q**3 + 2*f**3*l*q**2 - 4*f**3*l*q - 13*f**3*q**3 + 42*f**2*q**3 - 10*f*l*q**2 - 3*q wrt q.\nAnswer: 12*f**3*l - 78*f**3 + 252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4207 + -0.2.\nAnswer: -4207.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*p**2 + 4*p**2 - 5*p**2 - 281 - 2*p**2 + 159*p - p**2 wrt p.\nAnswer: -2*p + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.126 + -0.992. Round y to 2 decimal places.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450682624*c**2*o**2 + 8*c**2*o - 2*c**2 + 5*c*o + 11*c + 162*o - 7 wrt o?\nAnswer: 901365248*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.636338 to 1 dp.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 180579420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab4 + -c?\nAnswer: -ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**3 + 146*t**2 + 368*t + 232.\nAnswer: 2*(t + 1)*(t + 2)*(5*t + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -21*i**3 - 229*i**2 + 42*i + 435. Calculate x(-11).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*g - 23, -8*g + 244 - 228 = 0. Solve r*s - 6*s = 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 1. Let x be v(-8). Let t(d) = 27*d - 2. Is t(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 bigger than 189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6552 and 113\/604500.\nAnswer: 25389000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from rtrrvmfmvvmmvvmms?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l**3 - l**2 + 4*l. Let d be ((-6)\/(-10))\/(2\/10). Let y be (d\/(-1 - 0))\/(-1). Let s be x(y). Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5*z + 49*f**4*z**3 + 29*f*z**3 + z**3 wrt f?\nAnswer: 20*f**3*z + 588*f**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 67 = 3*v + 2*r, -57 = -3*v - 3*r. Suppose 2 = w - v. Let b(u) = -u**3 - 8*u**2 - 8*u - 1. What is the remainder when w is divided by b(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.668173 years?\nAnswer: 0.08668173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 26*k**3 - k**2 + 2*k - 1. Let n be u(1). Find j, given that 8*j - 24 - 6*j + n*j + 12*j**2 = 0.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.26 - 8.26. Is t greater than 150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -14. Suppose -3*d + 2*d - 2 = -3*b, 48 = -3*d - 5*b. What is the remainder when 18 is divided by (-2)\/d - 75\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (161\/14)\/(1\/2). Suppose 3*l - a = -j + 42, 46 = 2*l + 2*j. Calculate the highest common divisor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/20 + 5*y**4\/24 + 8*y**2. Let m be f(5). Let x = m + -55. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/5 + 118*a**3\/5 - 1798*a**2\/5 + 1682*a\/5 = 0. Calculate a.\nAnswer: 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 2\/(-12)*4*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 (base 12) in base 15?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = 3. Let w(a) = 2*a + 3. Let z be w(-2). What are the prime factors of (1\/z - -13) + n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 3, 2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (0 - 2) + -2. Let v(m) = -m**2 + 12*m - 12. Let a be v(10). Solve -y*l = a + 1, 0 = 4*f - 2*l - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/60 - a**4\/24 + a**3\/6 + 2041*a**2. Let h(i) = -2*i**2 - 4*i - 5. Let t be h(-2). Determine y(t).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -0.28. Let p = w - -68.28. Let a = p + -66. What is the closest to -2 in -2, -0.4, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14741052 plus -0.01729?\nAnswer: -14741052.01729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.564 and 1.\nAnswer: 1.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.8 - 4.8. What is the second biggest value in 1\/2, -2, q, 4.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u + 9. Let x be 28\/(-70)*20 + 14. Give p(x).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (1 - 1) + 1938\/51. What is the highest common divisor of 70 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 74*r + 1788. What is the remainder when 515 is divided by j(-23)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/12 + 2*y. Let v(m) = -m**2 + 4. Let r be v(0). Let k(j) = 3*j + 3*j - r*j. Calculate h(k(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/(-3) + (-1)\/3. Suppose -180 = -q*g + 9*g. Solve -5*r = -3 + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Suppose g*m - 4*m + 12 = 0. What is the units digit of m\/2*6\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 - 21*r**2 + 6*r - 4. Let u be a(4). Suppose 403 = 5*w - u. What is the remainder when w is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8275776469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -1.59?\nAnswer: -20.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 27\/12. Let d be (5 + -6)*(2 - -1). Let f = d + 6. Solve 3 = -2*m - f, w*h = 2*m + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 20?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 24. Let n(r) = -3*r - 2. Let t be n(g). Which is the smallest value? (a) t (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*c**6 - 146*c**2 - 33*c**5 + 16*c**5 + 17*c**5 wrt c.\nAnswer: 14400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 6*h + 36, -b + 6 = -998*h + 997*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 23. What is the greatest common factor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/807314 and -79\/25026734.\nAnswer: 25026734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.53, -1310, 4?\nAnswer: -1310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (3 - (-1 - -10)). Suppose 6 = -2*p + m*p. Let -11*n + 12*n**p + 5 - 2 + 9*n**3 - 1 + 0 = 0. Calculate n.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 971 - 2015 + 1044.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 1, s: 5, i: 6, z: 2, t: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-15)*(-60)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74437, 74395, 74353, 74311, 74269, 74227?\n\"Answer: -42*u + 74479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 785250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10*l + 23 = 5*l, 5*d + 3*l = -25. Let v be 12\/12 + (3 - d). Is 472\/v + (-12)\/18 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9487 - -21067. Does 60 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2 in ascending order.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 565988983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 291007 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*m**3*x - 41*m*x wrt m?\nAnswer: -1014*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 1 + 4.\nAnswer: 5 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271398589*f*s**3 + 16*s**3 - 114090*s**2 - 17 with respect to f.\nAnswer: -271398589*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 36. Let p(b) = b + 0 - 3 - 2*b + g. Let y be p(10). What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*w - 25, -c - 25 = w - 6*w. Suppose c = 6*n + 54 - 162. Is n smaller than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.26458 and -52.\nAnswer: -46.73542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/21*6\/20. What is the closest to -1 in -1\/4, b, -1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, 1\/4, -0.1, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16553.\nAnswer: 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 2*k + 6, -6 = -250*b + 245*b + 2*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5 - 1. Let m(k) = -k**2 + 4*k + 3. Let b be m(p). Suppose -31 - 47 = -b*f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 1, v: 1, f: 11, d: 5}. Give prob of sequence tft.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 76. Let m be ((-400)\/(-3))\/(z\/(-5460)). Round m to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -208, -468, -832, -1300, -1872?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 27*p + 289. Let q be v(-7). Solve 37*t = 36*t - 2*i - q, -t + i = -7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -2. Let t = 622 - 599. Suppose 5*s + 38 = t. Which is the second biggest value? (a) s (b) -0.1 (c) 1\/4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3. Let m be (-1*3)\/(6 - 7). Suppose 34 = -m*y + 10. Let p = -6 - y. Let d(l) = -l - 7. Give p*d(r) - 5*c(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d53 - -1249b?\nAnswer: 13410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 19. Let g = 41.9 + h. Let m be 44\/6 - (-48)\/(-36). Which is the second smallest value? (a) m (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d)**(3\/10)*d\/d**6*d*d*d\/d**(-5\/4) assuming d is positive.\nAnswer: d**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -204756*k*q**3*t**2 + 220*k*t**3 + 3*q**3*t**3 + 3*q**3*t - 8*q**3 - 220*q*t + 9*t wrt k?\nAnswer: -204756*q**3*t**2 + 220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 3*r. Let q be p(3). Let m = q + -35. Is (-190)\/(-4) - 12*m\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-10)\/6) - -7. Suppose b = m*g - 0*b - 125, 0 = -2*g - b + 61. Suppose -c = -2*k - g - 0, 0 = -5*c - 5*k + 140. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0*b**2 + 1\/4*b**4 - 8*b + 1\/10*b**6 + 0*b**3 - 3\/10*b**5 + 0. Factor a(o).\nAnswer: 3*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f*f*f*f*(f\/f**(-3\/5)*f)\/f)*f)*f\/f**(-3\/7)*f)**47 assuming f is positive.\nAnswer: f**(9917\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -61, -64, -69, -82, -109, -156, -229?\n\"Answer: -f**3 + 5*f**2 - 11*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18685850.000061 + -18685867. Let m = -40 - -23. Let o = m - g. Round o to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -135*(-47)\/(-564)*(-8)\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4 + 4)*(o**2 + o - o)*(-2 + 1 + 0).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:53 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t. Suppose 224 = -x + 5*z, -14*x + 19*x + 1120 = 4*z. Let r = -216 - x. Calculate the remainder when q(2) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -161*h**2 + 42*h - 42. Let s(q) = 19*q**2 - 5*q + 5. Calculate -42*s(p) - 5*v(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 2, u: 1, a: 4, x: 11}. Give prob of sequence bui.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-4)*16*-1. Suppose 0*w + 4*w - x = 0. Suppose 7 = -63*c + 448. Solve p - 2*v = -6, w*v = p + c + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/3 + 534112*c**2 - 106974087680*c - 5135166414848\/3 = 0.\nAnswer: -16, 400592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from kkkkkkkknkkkk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4*(3*(-2)\/(-20))\/((-339)\/(-113)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461590 + -8794.\nAnswer: 452796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 43*n + 14 = -41*n, -2*c + n - 10 = 0. Let f(p) = -5*p**2 + 8*p. Let q be f(6). What is the tens digit of q\/(-8)*(-16)\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177535007?\nAnswer: 2971, 1069517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) -13 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 64286 - 263383 = -4*m, 0 = -m + 4*c + 49741. Calculate the greatest common divisor of 317 and m.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 = -17. Solve q - i + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 + 11)\/((-3)\/(-8)). Is n\/(-44) + (-5518)\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3976157464 and 0.7.\nAnswer: -3976157463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 44. Suppose -4*w = -x + j, 3*x + 5*w = 2*x - 4. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*u - 273*u - 254*u - 220*u + 924*u.\nAnswer: 66*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.9 + -6. Let j = 5.9 - y. Let o = -9 + 8. Which is the smallest value? (a) j (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + -8 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, -2592 in decreasing order.\nAnswer: 12, -4, -2592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3818)\/(-4) + -6 - 6\/4?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370*m**2 + 150*m**2 - 1423*m + 0*m**2 - 391*m**2 wrt m.\nAnswer: -1222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55013 is divided by 54927?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*m**3 - 2 - 2*m**4 + 157*m**3 - 2*m to the form l*m + v*m**3 + z*m**4 + k*m**2 + h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*1*(-10)\/3*(-1194)\/(-1990).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (-40 + 22 - 74)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30730 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (20\/8)\/(47\/(-131600)*125)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 48.13, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**3\/3 + c**2\/2 - 2*c. Let i be s(-1). Suppose 0 = -6*o + 3*o, 5*o = -p + i. Solve 0 = -4*w + p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 85920?\nAnswer: 85920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*s - 227*s + 7*s**3 - s**2 - 30*s**3 to the form k*s**3 + h + u*s**2 + w*s and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 24 = 0. Suppose 0 = 4*d + a, 3*y - 6 = -0*y + 3*d. Suppose 5*i - 25 = -5*w, 19 = 3*i + 2*w - y*w. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34996 is divided by 873?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 + 145. Suppose -k*l - 4*f + 14 = -2*f, 13 = l + 4*f. What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) -2 (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 + 11*u**4 + u**4 + (-12*u + 4*u - 5*u)*(-5*u**3 + 3*u**3 + u**3) to a*u + o*u**2 + l*u**4 + m + y*u**3 and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose 0*g + g - 22 = -o, 16 = 4*o. Calculate the smallest common multiple of g and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -742931 + 742983. Suppose 154 = 3*c + j, -3*c = c - j - 196. Is f less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:26 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 97738634.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 + (1 + 30 - -27).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9720.975918 + 9721. What is i rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36392387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 251.255535 to 1 decimal place.\nAnswer: 251.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.059, -12, -0.5, 13\/7.\nAnswer: -12, -0.5, 0.059, 13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:18 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 563*g - 2 - 1379*g as z + n*g and give n.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -4, -3, -2, -1, 0?\n\"Answer: o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3924 divide 1282492692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6)\/(3\/108). Suppose 0 = 4*d - 4, -k - 2*k - j = -3*d. Sort 2, k, -2.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 10:33 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-168)\/(-35) + 3\/15. Let v be 220\/18 + 6\/(-27). Solve -c*b - v = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382356\/545 or -702?\nAnswer: -702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*sqrt(847)*1 - (2 + -2*sqrt(847)))**2 - (sqrt(847)*1 + 0)*-6*-6.\nAnswer: -704*sqrt(7) + 41512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Suppose -56 = -3*j + 148. Let u = j - -30. Let p(o) = 193 + 31*o - 95 - u. Calculate p(x(c)).\nAnswer: -62*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 455*s**2 - 239 + 239.\nAnswer: 455*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 809 (b) -5 (c) -513 (d) -4 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7 - 6) + -3)\/(-2 + 3 + 2)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 + -b52a5?\nAnswer: -b52cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 247\/10*2 - (-3)\/5. Find the first derivative of 63*l - 38*l**3 - 63*l + s wrt l.\nAnswer: -114*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from jwbjmjubjnjbw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 418*x**2\/7 + 1504*x - 10136.\nAnswer: 2*(x - 181)*(x - 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5 - 523*u + 523*u + 6 - 3*u**2 + 20*u**2. Suppose -26 = -4*v - 22. Give m(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/55 + 12\/(-66)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15735 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x - 41\/2*x**2 - 51 + 1\/2*x**4 + 18*x**3. What is the second derivative of z(l) wrt l?\nAnswer: 12*l + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -157*w + 17895. Calculate v(115).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*y**3 - 696790*y**2 + 9238320*y?\nAnswer: 726*y - 1393580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12300554 (base 8) in base 7?\nAnswer: 32056226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2638561 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 18*t**2 + 196*t + 27. Is 4 a factor of x(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.088 + 0.203. Let g = m - -9.785. Let d = 9.889 - g. Round d to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**5 - 64*r**4 - 39*r**3 - 126*r**3 - 23*r**4 - 81*r**2 = 0.\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + -3 - -33)\/1 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-2 - 6) + (18 - 6)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 - 20*s**2 + 37)*(-4 + 0 + 3)*(s**2 - 2*s + 2*s) to o*s**3 + n + m*s**4 + k*s**2 + b*s and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 635563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2319 (b) 4 (c) 1\/21 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 1, z: 1, s: 2}. Give prob of sequence ssv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jndbndbbbljndbbjjjbb. What is prob of sequence dljj?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 + 17*x - 11. Let l(j) = -2*j**2 + 6*j - 4. Let o(h) = 11*l(h) - 4*n(h). Find w, given that o(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 49 (c) 2\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140418455?\nAnswer: 5, 19, 1478089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 14*y - 15*y - 2*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -177*f + 60. Let v be c(0). What is the greatest common factor of v and 7620?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, q: 2}. Give prob of sequence qq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 66 = 4310*h - 4304*h - p + 5*p, 5*h - p = 63 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7765 - -7733. Which is the second smallest value? (a) x (b) -0.1 (c) 4\/3 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9700 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2637*h - 2614*h + 85 + 5246*h)*(-2*h + 3*h**2 + 2*h) as g*h**2 + q + n*h**3 + p*h and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-29 - -28)\/(1\/14))\/(4\/(-6158)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/2 + 4*t**2 - 30*t. Differentiate w(a) with respect to a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224 - 10?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 1.2, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 231459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 16. Calculate the least common multiple of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2740.939 * -0.11.\nAnswer: 301.50329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2. Let r(y) = -473*y**2. Calculate b(r(k)).\nAnswer: 671187*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 8, m: 2, z: 2, w: 2}. What is prob of sequence fb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -4262315\nAnswer: 72459355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*k**4 + 3*k**2 - 111*k.\nAnswer: -168*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Suppose 0 = 4*g - 0*g + 5*r + 83, 3*g + 2*r = -71. Let t = -29 - g. Calculate y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {v: 3, d: 3, f: 1, i: 3, z: 2, k: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 264\/7*p**4 - 72 - 1053\/7*p**3 + 1236\/7*p + 15\/7*p**5 + 438\/7*p**2 = 0. Calculate p.\nAnswer: -21, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*p = -219*p + 3996. Calculate the highest common divisor of p and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 45 + (16 + 7 - (14 + -3))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -0. Let v be 2*33 - (u + 6 - 1). Let a = 68 - v. Calculate the lowest common multiple of 3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s - 12, 0 = 3*f - 5*s - 24. Suppose f*c - 1 = -l, -2*l - 3*c = -4*c - 37. Suppose 4*i + q - 5 - 27 = 0, 0 = -2*i + 3*q + l. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00087013137 rounded to seven decimal places?\nAnswer: 0.0008701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**7\/1260 - g**6\/120 - g**5\/30 - g**4\/18 - 35*g**2\/2 + 15. Let y(u) be the second derivative of o(u). Factor y(j).\nAnswer: -j*(j + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8359, -8365, -8377, -8395, -8419?\n\"Answer: -3*j**2 + 3*j - 8359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 9 - 19)*(-59 + 59 + 9*x).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 12*d**2 + 4. What is f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92954 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 55 = 17. Let w(b) be the second derivative of b**4\/6 - b**3 + 5*b**2\/2 + 2*b. Calculate the lowest common multiple of w(j) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -0.0096, 1\/6, -0.1 in decreasing order.\nAnswer: 1\/6, 0.12, -0.0096, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-15)*(-12)\/(-8). Solve 2*k = t - 12 + w, -2*t + 5*k = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/348? (a) 847 (b) 1\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -3*p + g, p - 8 = -4*g. Suppose -2*j = -5*r + 2*j - 5, p = -4*r - 3*j + 27. Suppose 0 = -3*h - 12 + r. Put 4, h, -5 in decreasing order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 x, and 2 y when four letters picked without replacement from yyxuuyyu?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39856, -39884, -39912, -39940?\n\"Answer: -28*i - 39828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*s = 7, 0*s - 11 = -5*y + s. Suppose -15 = -y*l - 57. Let w = l - -26. Calculate the greatest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)*3 + 2. Let w(z) = 30*z**2 - z. Does 14 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -8*v + 4*f - 188, -4*v + 812 = 4*f. Does 52 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 16*h**2 - 16*h + 19. Let b be x(15). Suppose -3*j + 69 = b*t, -3*t + 0*j + 57 = -3*j. What is the least common multiple of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 3*r**2. Let h be w(3). Suppose -3*v - 3 = h, -4*k + 29 + 6 = 5*v. What is the units digit of 12\/k + 1\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -45*x**2. Let z(o) = 11*o. Calculate g(z(t)).\nAnswer: -5445*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6326 and 0.6.\nAnswer: -1.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 + 2*n + 55 + (-2*n - 2*n + 3*n)*(-1 + 2 + 0) + 3*n + n - 2*n + (2*n - 2*n + 2*n)*(-6 + 5 + 6) - 3*n + n + 4*n + 5*n - 3*n + 0*n + 4 - 7*n - 4.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 113 = 309 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/2, 0.2, -38\/9.\nAnswer: -38\/9, -2, -1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 - 34 + 23)*(-12*h + 26*h + 70*h) + 5 - 5 + 2*h to the form m + f*h and give f.\nAnswer: -3106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-88)\/66*378\/(-4). Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + 0 + 1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjjjjjjjjjjajj.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n - 2. Suppose h = 4*h - 6. Suppose -h = -3*l + 2*l. Suppose -5*c + 4*d + 2 = 0, l*c - 2 + 6 = 4*d. Calculate y(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*(27\/(-12) - -1). Suppose -5*r + 15 = -r + 3*w, -3*w + m = r. Let a be (-232)\/1914*(-6)\/(-4)*-5. Is r less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165209984 by 29.\nAnswer: -5696896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8534901983 to the nearest integer?\nAnswer: 92385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 + o**4 - 235814*o**2 + 3*o - 94538 wrt o?\nAnswer: 40*o**3 + 12*o**2 - 471628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204196406 is divided by 708.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962588416.\nAnswer: 2, 17, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.89281 days to nanoseconds.\nAnswer: 1891538784000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (64\/10)\/(194\/970). Solve 4*s - o = -3*k, -2 + 30 = 2*k + 4*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19836451628 plus -0.2?\nAnswer: -19836451628.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1654.87078 to 1 dp.\nAnswer: -1654.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7095 + 904?\nAnswer: 7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 476918251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*k - 8, 3*k + 2*d = 26 + 17. What is the highest common divisor of 44 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 10 + 0 + (-1 + 0 - 1)*(1 + 3 - 6) + 4 + 0 - 5 - 3 - 1 + 3)*(0*d**2 - 2*d**2 + 3*d**2) as u + y*d**2 + h*d and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*y + 5*r, -4*y - 2*r = -0 - 4. Suppose -5*q + 15 = 0, -y*x - 593 = -3*q - 1484. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1743 or -1831?\nAnswer: -1743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*h + 19*h - 38*h - h**3 + (-27 + 27 - h**3)*(-1 + 4 - 1).\nAnswer: -3*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1356550 divided by -10.\nAnswer: 135655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 285325*l - 285325*l + 2*l**2 - 2. Let g be ((-2)\/(-5))\/((-1)\/(-10)). Let z(i) = 2*i**2 - 3. Calculate g*z(u) - 6*x(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4))\/a)\/a**(-1\/3)*(a*a**(4\/9))\/(a*a\/(a\/a**(-3))*a) assuming a is positive.\nAnswer: a**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(143) + sqrt(143) - 2*sqrt(143)*-6)\/(6*((sqrt(88)*-1 + sqrt(88) + sqrt(88))\/sqrt(4))\/sqrt(2)).\nAnswer: 17*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a45c (base 15) in base 2?\nAnswer: 1010010101000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4156862 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 plus 2.82237612?\nAnswer: 1.92237612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 147 - 22*f + 12*f + 11*f - 132. Let l(u) = u + 14. Determine -2*l(g) + 3*v(g).\nAnswer: g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 - 330*k**4 - 11019*k**3 - 10686*k**2 = 0 for k.\nAnswer: -26, -1, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 u when three letters picked without replacement from uuuujuujuujuuuuujjuu?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*f = -2329 - 5527 - 3148 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 98841.\nAnswer: 49420.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from fffdfffygffgf.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4320029*x + 8796905 wrt x.\nAnswer: 4320029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - r + 6)*(4 - 6 - 1)*(-2 + 2 + 2*r)*(-3*r - 2*r + 3*r + (-3 + 3 - 3*r)*(3 - 2 + 1) - 3*r + 3*r + 2*r + 2*r - 14*r + 4*r).\nAnswer: -84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38679967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*p - 28 = -5*j, -5*j - p = -16. Solve -2*d + 10 = -4*w, j*d + 2*w - 4*w + 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171925423 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14486 = 124*y + 297*y - 4382 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 152\/(-10)*75\/(-10). Suppose -170 = a*z - 119*z. Suppose -z*u = -26*u - 1256. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -19*r - 42. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/21 + (-1056)\/84 + 17\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 9. Let h be a(5). Let n(g) = 17*g + 0 - 9*g + 3 - 2. Calculate n(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = 5, -5*k + 4381 = -2*r. Suppose 2*w = 1689 + k. Suppose 0 = -5*m - 3*t + w, -m + 3*t + 0*t = -271. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:06 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 2*y**2 + 3*y**2)*(0 - 5 + 3) + (4*y - 5*y + 2*y)*(-2*y + 1 - 1) - 2*y**2 + 5*y**2 - 4*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/9, -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15913, 15158, 14397, 13630, 12857?\nAnswer: 12078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9089, 8942, 8795, 8648?\n\"Answer: -147*m + 9236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/28178846 and 59\/3276610?\nAnswer: 140894230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.085 * 1.96\nAnswer: -0.1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.36479 decades to centuries.\nAnswer: 6.236479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 445*c**2\/2 - 224817*c\/4 - 2871657.\nAnswer: -(c + 68)*(c + 411)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/(-2) - 182\/(-130)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/267 and 20 - 26 - 2222\/(-356).\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21463587?\nAnswer: 3, 2384843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -350*n**4 - 230940*n**3 - 7746568*n**2\/7 + 1363620*n\/7 - 58950\/7 = 0. What is n?\nAnswer: -655, -5, 3\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -120, -166, -180, -150?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.024 - -5.176. Let t = j + -0.2. Is 0.1 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/3 + 3667*u**3\/3 + 245626*u**2 = 0. What is u?\nAnswer: -191, 0, 3858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 24*a**2 - 30*a**2 + 2*a**4 + 4*a + 1 as c*a**2 + b*a**3 + h + k*a**4 + x*a and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 415404.\nAnswer: 2907828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 609*i**2 + 3035*i**2 - 77*i**2 + 0*i to the form z*i + n + w*i**2 and give w.\nAnswer: 3567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/(-15))\/(2\/3). Let x(q) be the second derivative of 3*q - 1\/54*q**d - 1\/27*q**3 + 0 + 2\/9*q**2. Solve x(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, p: 2, f: 1}. What is prob of picking 1 f and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, w: 2, j: 3, c: 2}. Give prob of picking 1 w and 1 c.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - l - 1. Let n(v) = 5*v**3 - 4*v**2 - 16. Let a(q) = -q**3 + q**2 + 4. Let i(t) = -4*a(t) - n(t). What is d(u) + 5*i(u)?\nAnswer: -2*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 - 1 - 81 + 151)*(-5*k + k**2 + 5*k)*(-3 + 3 - k).\nAnswer: -222*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 87 = -2*t. Suppose 5*r - 3*l - 13 = 0, 5*r + l - t = -0*l. What is the highest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4498780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -27. Suppose j*h - 548057 = 441943. Round h to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:16 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 101 = 7*s, 3*b = 4*s - 7 - 47. Let c(i) = -7*i**3 + 9*i**2 - 12. Let m(t) = 15*t**3 - 17*t**2 + 25. Let o(u) = -13*c(u) - 6*m(u). What is o(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.88 - -0.9. Let w = -0.08 - d. Put 0.1, -2\/5, w in descending order.\nAnswer: 0.1, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (-2 - 5 - 6 - 2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -723586226.99999935 + 723586259. Let x = -32 + j. Round x to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*d + 6*d + 8, -2*i + 2*d + 10 = 0. What is the third derivative of 2 - i - 2*j**5 - 10*j**2 + 6*j**2 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 + -88. Let b = 7 + a. What is the closest to 0 in -3, b, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1236*c**2. Let w(r) = -5*r + 6*r - 4*r. Determine w(o(q)).\nAnswer: 3708*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2337 and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 2. Suppose k - 50 = -k. Suppose -5*p + 25 = 0, 2*j + 0*p - 5*p = -k. Suppose j = -f + 2*o - 12, 2*o = 5*f - o + 46. Determine y(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 8*v + 2. Determine m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98953, 92779, 86603, 80425?\n\"Answer: -g**2 - 6171*g + 105125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3*t + 3 = 2*w, 3 = -3*t. Sort w, 6, 0 in increasing order.\nAnswer: 0, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 7}. Give prob of sequence lww.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*9\/30*-5. Let x = r + -7. Suppose v = -2*y - x*v + 6, -5*v = 0. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596*c + 1160*c - 6*c**3 - 564*c + 97*c**3.\nAnswer: 91*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*b - 3*z + 189 - 150 = -96*b, -42*b + 213 = 5*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdbd when four letters picked without replacement from {p: 2, b: 6, d: 3, m: 1, s: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 40 = -y + 2*g, 72 = 2*y - 2*g. Let o be 2\/15 - 178\/(-15). Suppose 2*q - 5*q = -o, 2*m - 3*q = 2. What is the remainder when y is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwwbwsdsw. Give prob of sequence swsd.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 366, 551, 736?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*i - 20. Let x be -24*(-24)\/9 + i. Suppose -5*a - 23 = -x. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905619065 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 0*x - 3*x - 2)*(-3*x**2 + 6*x**2 - 2*x**2 + 3) to the form d*x**3 + v*x**2 + l*x + b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 3*d**4 + 2*d**4 + (0*d**2 - d**3 + 0*d**2)*(0*d + 2*d - 3*d) + 0*d**4 + 2*d**4 + 1 - 7*d**4 - d**4 + d**4 + 2*d**4.\nAnswer: 4*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 + 2*p**3\/3 - 6*p + 468. Calculate u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**3 + 397*y**2 + 87*y - 1158. Calculate a(-99).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10063*y - 79441?\nAnswer: 10063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = 2*z + 2, 5*r = -5*z + 10. Let f(s) = -3 + 13*s - 9 - 2*s**z + s**2 + 0. Calculate the remainder when 28 is divided by f(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 70. What is the second derivative of g - f*g + 31 - 33 + 53*g**3 wrt g?\nAnswer: 318*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*q - 7*q - 1839 - 3857 = 0 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 220.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.901038ns to minutes.\nAnswer: 0.0000000004150173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -831 + 839. Let j(m) = a - 2*m**2 - 12*m**2 - 3 + 7*m**2 + 6*m**2. Let b be 6\/21 + (-4)\/14. Determine j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q - 5. Suppose -u = -c - 8 + 20, -2*c = -u - 16. Let h(w) = -w + 1. Let a(z) = 6*z - 1. Let s(r) = -a(r) - 3*h(r). Give u*s(v) + 3*i(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-12) - 7\/42. Suppose q = 5*y - 3*h - 30, -y + 5*h + 28 = -0*h. Solve -y*p + 1 = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-4))\/(-1) + (-90)\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 = 4*b. Let u = -7 - b. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:34 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 + 374. List the prime factors of d.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/3 + 989960080*d\/3 - 122502619999200800\/3 = 0. What is d?\nAnswer: 247490020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -4*s, -2*s + 1 = -i - 0. Let w be -1*i*2\/(-6). Let h = -8 + 5. Which is the second smallest value? (a) w (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 35. Let j(s) = -5*s + 139. Let m(u) = 22*f(u) - 6*j(u). Let x be m(8). Solve x = 2*v + v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q - 7*q - 22*q**2 + 7*q**2 - 1 + q. Calculate i(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, k: 6}. What is prob of picking 2 k and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 60 = -2*s + 4*s, 0 = 2*z + 4. Calculate the greatest common divisor of s and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8*l = -13*l + 903005, 5*p + 3*l - 4515003 = 0. Round p to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -19, 1\/3, 1\/5, 1\/237, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -710*h + 39 + 21 - 10 + 22 - 10 wrt h.\nAnswer: -710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -4, 0.1, 68, 822, 0?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21443 - -17469. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-1)\/(-1 + 0). Suppose -4*s + 5*d = -45, d + 3*d = s - 25. Solve -s*c - 2*j - 15 = k, 2*c - 3*j - 14 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/((-12)\/3978) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1162\/3 - 382. Let w(q) be the second derivative of 0 - h*q**3 + 8*q**2 + 3*q - 7\/5*q**5 - 19\/3*q**4. Factor w(u).\nAnswer: -4*(u + 1)*(u + 2)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 4*z - 5 + 6 + 0*z**2. Let t be m(3). Let n = t - -28. Which is smaller: -1\/56 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*o = -300, -399 = -4*t - o - 104. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/2 (b) 0.03 (c) 0.0398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -163, -318, -523, -778, -1083, -1438?\nAnswer: -1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160079, 160080, 160081, 160082?\nAnswer: 160083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-3 - 0)) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from vvvvvvvvvovvovvvvooo.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**0*q)\/q))\/(q**(-2\/5)\/q))\/(q**(-8\/7)\/(q*q**(-12))) assuming q is positive.\nAnswer: q**(-296\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - 0.32. Which is smaller: g or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 596562553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.552589ug in grams?\nAnswer: 0.000008552589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35609*f**3 + 17*f**2 + 2*f + 7463357?\nAnswer: 106827*f**2 + 34*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, -67, -285, -717, -1435, -2511, -4017?\n\"Answer: -12*k**3 + k**2 + 5*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x - 8. Let j(h) = 4*h + 5. Let m(w) = -8*j(w) - 5*o(w). Let k(y) be the second derivative of -8*y**3\/3 + 4*y. Give m(k(z)).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29312)\/2290*(6 - 1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -22*q + 15. Let r(m) = -61*m + 45. Calculate 3*r(i) - 8*w(i).\nAnswer: -7*i + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -409787, -409333, -408575, -407513, -406147, -404477, -402503?\n\"Answer: 152*n**2 - 2*n - 409937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.1, -4, -2\/21, 0, -30?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -3.963?\nAnswer: 16.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 + 3*j + 3. Let r(o) = -o**2 + 6*o + 3. Let u be r(6). Let z be p(u). Let l = 8 + z. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 41, 143, 285, 467, 689?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 67 = 2*d, 6 + 4 = 2*j. Let x = d + -32. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020210362 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/((c**(3\/8)\/c)\/c))\/c*c\/(c*c\/c**32))\/((c**(-24)\/c)\/c*c*c*c**(6\/5)\/c*c) assuming c is positive.\nAnswer: c**(2297\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -250\/1087 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 7\/(14\/(-44)). Let s = -26 + q. What is the common denominator of 17\/20 and s*(4 + (-375)\/80)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 1776083 + 1776085 - 3*f - 101*f**2 + 9*f in the form y*f + a*f**3 + l*f**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-15)\/35*2. Sort 0, 2\/99, l in descending order.\nAnswer: 2\/99, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -86, 0.3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2551694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*n = 108. Suppose -d = -3*d + 8. Suppose 0 = -d*u + 2 + 10. Solve -3*f - n = -u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(150\/35)\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v + v. Let b be (v\/(-5))\/(2\/5). Find the second derivative of 3*d**b + d - d**2 + 0*d**2 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 254856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243) + 3)*-1*3.\nAnswer: -9 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-2))\/((-12)\/(-8)). Let q be 2\/k - (-12)\/2. Let l = q - 2. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence seab when four letters picked without replacement from bvaajvjejavvveaes.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w - 24. Let u be 0*(-2)\/w*-1. Let a(g) = g - 6. Let j be a(11). Solve v + j = u, -2*h = 4*v - 3 + 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -25)*(1 + -2). Suppose 2*z - 78 = -g. Calculate the remainder when 105 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515910551.\nAnswer: 13, 29, 1368463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 230359113527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.7 - 17.2. Let j = -25 + 22. Let k = -2 - -2. Sort j, k, u in ascending order.\nAnswer: j, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcz when three letters picked without replacement from iczciliiclccccclccll.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -160\/2557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31416 and 594?\nAnswer: 282744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6)\/(6\/16). Suppose m*u + 8 = 24. Suppose 188 = -u*b + 6*b. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5764801*b**5\/4 - 941192*b**4 + 230496*b**3 - 25088*b**2 + 1024*b = 0. Calculate b.\nAnswer: 0, 8\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4756350847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 446 - 308. Suppose -43*u + 892 = 204. What is the least common multiple of y and u?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*m - 20*m + m**3 - 12 - 4*m**2 + 3*m**3 = 0. What is m?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/19 in 2.3, 1\/4, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660589, 660588, 660587, 660586, 660585?\nAnswer: 660584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -167 and 11.660848.\nAnswer: -155.339152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 26?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3318 - 571 = -4*d, -13671 = -5*p + 4*d. What are the prime factors of p?\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 2. Let g be t(0). Let y be 4\/g + 3 + (-2)\/(-1). Let w(k) = 4*k + y*k - 5*k. Let x(b) = 6*b. Calculate w(x(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:19 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 7*q**2 + 6*q + 6. Let a be t(-7). Let x(k) = k**2 - 8*k - 1. What is the remainder when (-1340)\/a - 2\/9 is divided by x(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8751176 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w + 2*w + 3*w. Suppose -3*z - 17 = -5, 2*o - 14 = 5*z. What are the prime factors of r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/6 or 7.33?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 + -1.6. Let h = -4.9 + 4.4. Sort 0.1, m, h.\nAnswer: h, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**10*x*x**(-2\/27)*x assuming x is positive.\nAnswer: x**(-191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyee when four letters picked without replacement from {v: 2, e: 3, y: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 553 - 547. Is u greater than 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2001.\nAnswer: 200.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -73. Suppose -b*l - 9 = -35*l. Sort 1\/5, l, 0.04 in descending order.\nAnswer: l, 1\/5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -0.32 (c) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 3 + 4 - 4. What is the tens digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(sqrt(143) - 1*(sqrt(143)*4 - sqrt(143)))\/((sqrt(11) - sqrt(176))*1).\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*-11*(-2)\/(-3). Let l(z) = z**3 + 10*z**2 + 5*z - 18. Let d be l(-9). Suppose 0 = -d*i + 14*i + 88. Calculate the greatest common factor of g and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -5\/6 (c) -2.44 (d) -0.3 (e) 18 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9397566 and 3672?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (29 - 8) + (26 + -12 - 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {r: 1, q: 2, p: 2, h: 1, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23898.35 and -0.2?\nAnswer: 23898.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18092177 rounded to 3 decimal places?\nAnswer: -3.181","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 7459987 - (21 - 34). What is s rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*((-139)\/46 + 3). Is t at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 3*l**2 - 4*l. Let m(x) = -x**2 + x. Let c(q) = 473*q + 1894. Let u be c(-4). Give u*m(h) + t(h).\nAnswer: -h**3 - 5*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -128, -173, -218, -263, -308?\n\"Answer: -45*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*y + 1124 = -246*y + 2*o + 1133, 4*y = 5*o + 34 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1667 - 4?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.45468um in centimeters?\nAnswer: 0.005145468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -34. Let q be (-5)\/((-5)\/m) - (-17 + 1). What is the greatest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + o - 7*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -235124?\nAnswer: -235121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 2 (c) 1 (d) 6 (e) 282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -6 - (10 - -41) - (1 - 1 - 9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 8*a - 17. Let r be -15*(-2)\/(-12)*2. Suppose -4*m - 3*n + 219 = 0, 82 = 2*m + n - 5*n. What is the remainder when m is divided by z(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 w when three letters picked without replacement from {s: 7, e: 3, w: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1098460903 - -76693441788028\/69819. Let p = j + -2\/1369. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2\/7))**(-25)*n**(-4)*(n\/n**2)\/n*n assuming n is positive.\nAnswer: n**(-335\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**2\/2 - m - 2. Let b(s) = s**2 + 4. Let o(k) = k**2 + 4*k - 1. Let d be o(-4). Give d*b(z) - 2*j(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11158*f**3 + 1693*f**3 + 50*f**2 - 19*f**2 - 31*f**2.\nAnswer: 12851*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*h + 33 = 0, -h + 5 = -5*d - 2*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33463*g*m**2 + m**2 + 12558 wrt g.\nAnswer: 33463*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 24*n - 59. What is g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3 - 402563*i**2 + 2012846*i + 2415408 = 0.\nAnswer: -402568, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y**2 + 7*y + 5. Let f be d(-4). Let s = -39\/10967 - 2728750\/10967. Let q = f + s. Sort 5, -1, 0.1, q in ascending order.\nAnswer: -1, 0.1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - i + 7, -1 + 2 = d + i. Suppose u = -27 + 11. Let m = u - -16. Solve 5*s - 25 = d*z, m*z - 3*z - 15 = -3*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let f be i(8). Let u(v) = -v - 6. Let j be u(f). Suppose 11*g**j - 6*g**2 - 2*g - 3*g**2 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.1, -0.5, -4333?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654939 divided by -3429.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 724 - 81 + 341.\nAnswer: 12*x + 984","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-63)\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:31 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2775*j**2 + 5552*j**2 - 2774*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + -2. Let u = 25 + i. Suppose 0 = 2*w + 2*o - 10, 0 = 7*w - 2*w + u*o - 22. Solve 0 = 5*b, -w*g - 2*g = -3*b - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6835 not equal to -91008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -14.264, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 14. Let o = -23 + z. Suppose -3*c + 3 = g - 0*g, 4*c - 4 = -4*g. Sort -5, g, o in decreasing order.\nAnswer: g, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32002 (base 5) to base 9\nAnswer: -2823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2151259228.\nAnswer: 2, 89, 1123, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 284022027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10359554059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, 0.25, 32.\nAnswer: -265, 0.25, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 20*h**2 + 104*h - 3. What is the remainder when j(9) is divided by 46\/4*(1 - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40377853 is divided by 403778?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 8297241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10776148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 23 - 22 - 25 + 44*q. List the prime factors of t(8).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901 < 3901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129005 + 161*c + 1129005.\nAnswer: 161*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840*z - 29512 = 3771*z + 889*z + 396*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 12*l**2 + 6*l - 30. What is the smallest common multiple of k(12) and (-8)\/(-18) - (-21975)\/675?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -47 + 6 + (1 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 4. Let r(s) = 3*s**2 - s + 7. Let p(g) = 3*r(g) + 5*x(g). Let l(j) = -j + 2. Let q be l(-2). Is p(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45))\/(117\/1365).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64689 or 194071\/3?\nAnswer: 194071\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -18, 16, -1 in descending order.\nAnswer: 17, 16, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 4 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 48 - 29 + 0*l**2 - 3*l - 32 + 10 in the form n + f*l + s*l**2 and give n.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3451065l to millilitres.\nAnswer: 345.1065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b84 - -6d6?\nAnswer: -4ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h. Let u be r(1). Suppose u*l = -25, -28 = -3*d - 0*l + 5*l. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5402 at least -5403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-3 + (28 - -11) - (10 + -1))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.86 + -2.86. Let p = v - 58.4. What is the biggest value in 13, p, -1\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*n + 801, 2*n - 7*n = 4*g + 1069. Let b = g + 270. Solve 4*r = 5*s - r + 25, b*s = 2*r - 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose i*w = 4*w. What is the units digit of (-6)\/(-2 + w\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f. Let w = -2.4 - -3. Let d = 0.5 - w. What is the closest to f in 3, d, -3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*n**3 - 624*n + 88*n**2 - 221*n**3 + 1440 + 114*n**3.\nAnswer: -4*(n - 10)*(n - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -31. Suppose f*x = 11*x + 65. Is (-8487)\/x + (3 - (-148)\/(-52)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.206\nAnswer: 0.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10261 + -26\nAnswer: 10235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 3*b**2 + 1. Let y be z(5). Suppose -4*t + 5*o = -8, 5*t + 0*o = -4*o - 31. What is the tens digit of 5 + y + t + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 10:29 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94366129 + 20196*u + 94366129 to o*u + x and give o.\nAnswer: 20196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 196.56\nAnswer: -1572.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342 - 377 + 341*n**2 - 345 + 1064.\nAnswer: 341*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -5*o**2\/2 - 38*o + 21. Let u be y(-8). Let j(h) = h + 2*h - u*h + h - 14*h**2 + 1. Determine j(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w = 42*w - 86*w - 12. Solve 83 = w*n + 35 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxv when four letters picked without replacement from xvxvxvvxpv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y - 1. Let v be h(-2). Let a = v + 3. Let p = -46 + 187\/4. Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93853771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 18 + 0 + (-84 - 12)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -12) + 0 + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -405167502*z. Let f(b) = -2*b. What is f(x(q))?\nAnswer: 810335004*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 123. Let t(p) = -28*p**2 + 3*p**2 + 16*p**a. Let i(v) = -6*v - 2. Let k(b) = 7*b + 3. Let o(r) = -3*i(r) - 2*k(r). What is t(o(l))?\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 15, 14, 7, -6, -25, -50?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1 + 4*i**3 - 3*i**3 + 0 + 3*i**2 + i. Let o(v) = -v - 3. Calculate the remainder when k(-2) is divided by o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = -4*c, -h - 3*c - 22 = -7. Solve h = 8*l + 91 - 83 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -6, 10.\nAnswer: -6, -2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -50\/7, 0, 2\/9, 6122, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/199460 and -125\/59838.\nAnswer: 598380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/3*26\/(-91)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.316 - 105.441. Let h = z - -103. Let x = h + 0.125. Which is greater: 2\/17 or x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x - 4 = d - 51*x, d + 20 = -3*x for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 562 + -560. Find the second derivative of -1042*g + 5*g**3 - 14*g**z + 1240*g + 7*g**2 wrt g.\nAnswer: 30*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + u**2 - 1. Suppose -102*d = -55*d + 1128. Let x(a) = 13*a**3 + 6 - 9*a**2 + 18 - 15*a**2 + 5*a**3. Give d*m(s) - x(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 17*l**4\/4 + 2*l**3\/3 - l**2\/2 + 2. Let h be v(1). Let z = -11 + h. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6326.19 - 6370. Round w to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83 * -87773.\nAnswer: -7285159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634215542 a multiple of 631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2*170 - 1. Let r = g + 485. Let f = r + -72. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0555275 + -167043087\nAnswer: -167043087.0555275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/2108*341\/44 + (-653)\/238.\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, -0.5, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is bbb (base 12) in base 16?\nAnswer: 6bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -63, -4, 8, 1, -14 in ascending order.\nAnswer: -63, -14, -4, -2, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 8. Let z(y) = y**2 + 8*y + 1. Determine z(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0763291 microseconds in nanoseconds?\nAnswer: 76.3291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewpeeppwkjeq. Give prob of sequence jp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72159464 to the nearest integer?\nAnswer: 8495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*m + 2, -5*d - 3*m = 21. Let y be d\/7 + (-33)\/21. Which is bigger: -33\/37 or y?\nAnswer: -33\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3713674, -7427350, -11141036, -14854738, -18568462, -22282214?\n\"Answer: -p**3 + p**2 - 3713672*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 1. Let f(q) be the first derivative of -q**3\/3 + 15*q**2\/2 - 51*q - 6. Let y be f(7). Determine k(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + 450\/(-105). Let i = u + 9. Solve -a - 3*k = 2*a + 15, 5*a - k = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*u = -3*j - 15, 0 = -4*j + 5*u - 27. What is the second biggest value in 1\/2, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-2) + 9\/18 - -1. Suppose 0 = h*m - 15*m + 72. What is the remainder when 143 is divided by m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 36*g**2 - 1518*g - 50. Give m(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31869.794133 and 0.1.\nAnswer: 31869.894133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r**2 - 4*r + 16. Let w be c(-12). Suppose 2*q + 5*i - w = 0, 5*q + 2*i - 6081 - 919 = 0. Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/22 and -51\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = 6, 14*t + 130 = 12*t - 69*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2\/3*o**3 + 3 + 3\/2*o**2 + 0*o. What is the second derivative of r(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/30*-3)\/(4\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11407178269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 18. Let i be (-12)\/10*200\/u. Solve -x - 3*x = -i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1191+1112\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910772?\nAnswer: 2, 3, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 8*t + 6. Calculate the smallest common multiple of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -9 - ((4 - -4) + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -666, -671, -690, -729, -794?\n\"Answer: -g**3 - g**2 + 5*g - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-10) - (-2490)\/(-1660)*(-12)\/5. Let w(v) = -9*v + 22*v - 15*v + 7. Let r(y) = 2*y - 6. Calculate s*w(c) + 4*r(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3131, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 2:06 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-1*(sqrt(896) - (sqrt(896) + -1*sqrt(896))) - sqrt(896))*-4)\/((3*sqrt(8)*2 - sqrt(24)\/sqrt(3)*-1)*5))**2.\nAnswer: 499\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 1. Let o(s) = 118*s**3 + 354*s + 354. Calculate o(c) - 354*u(c).\nAnswer: 118*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62863.\nAnswer: 37, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.57 - -0.17. Which is the second biggest value? (a) -1 (b) z (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*h**4)*(-3*h - 36*h + 22*h) + 13*h**5 + 31*h**5 + 4*h**5.\nAnswer: 14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/52? (a) 4 (b) -1\/5 (c) 2\/7 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpcx when four letters picked without replacement from {e: 6, x: 1, p: 5, c: 5}?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*p = -8*p + 9, 5*n = 4*p - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 26*k - 4*b = -160, 3*k - 155 = 4*b. Suppose h - 4 = 1. Solve -25 + k = -h*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/2)*c)\/(c*c*c**0*c))**(-38))**(-15) assuming c is positive.\nAnswer: c**(-855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -244*x**2 + 89. Let o(s) = -485*s**2 + 178. Let p(g) = 3*o(g) - 5*y(g). What is the first derivative of p(n) wrt n?\nAnswer: -470*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-840)*7)\/(3\/(-5)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6836*g*o**3 - 16019627*g - 1188*o**4 wrt o?\nAnswer: -20508*g*o**2 - 4752*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133381 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.3 (b) 105 (c) 0.1 (d) -4 (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.511 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**3*s**2 + 456319*b**3 + 88126*b**2*s**2 + 2*b*s**2 + b*s wrt s?\nAnswer: -10*b**3 + 176252*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 214*r**2 - 18*r. Let m(x) = -214*x**2 + 12*x. What is 3*m(j) + 2*w(j)?\nAnswer: -214*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15627?\nAnswer: 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 9. Let g = f + 6. Suppose 99*z + 23*z = -4*z + 504. Solve z - 1 = -g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) -2\/1829415 (d) 0 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 608087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 - 370455*b - 81494292\/5.\nAnswer: -3*(b + 44)*(b + 617381)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5973?\nAnswer: 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:22 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from qqosombobosz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1511 or 776?\nAnswer: -3\/1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 17*x**2 + 65*x + 1. Calculate r(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*u - 5*k, u - 148 = -3*u - k. Let v = 53 - u. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (84*(-160)\/(-264320))\/((1*3)\/(-1))\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -503, -1147, -2047, -3203?\nAnswer: -4615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-4*(-555)\/(-60) + 3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)*p)\/p**(5\/6))**(-3\/13)*(p**(-1\/4))**(-1\/8)\/((p*p**(-1\/2)*p)\/p*p\/(p*p**(-2\/3)*p)) assuming p is positive.\nAnswer: p**(-121\/1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 102021210010?\nAnswer: 102021210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -109265 (base 10) to base 7\nAnswer: -633362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3369372*o**3 + 26*o**2 + 167*o - 37.\nAnswer: -20216232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksspgggsppgggg. Give prob of sequence kgp.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 + 7*n + 2. Let x be f(7). Suppose -6*i = -x*b - i - 19, i = 3*b + 61. Let w = b - -38. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -98*t + 23. Let k(s) = 2*s + 6. Let i be k(-5). Let d(l) = 97*l - 24. Let j(c) = i*d(c) - 5*y(c). List the prime factors of j(3).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3803\/283597?\nAnswer: -3803\/283597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/11 and -41\/125423.\nAnswer: 1379653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -30. Let y = -11 - -12. Let v be y\/(-6) - 62\/c. Solve 4 + 3 = v*x - 4*b, -1 = -2*x + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 387*q**2 - 3*q - 2. Calculate the remainder when z(-1) is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 + 5*q**2 - 2*q + 1. Let s(i) = 3*i**3 - 3*i**2 + 3*i - 2. Determine -3*h(g) - 2*s(g).\nAnswer: 6*g**3 - 9*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159703278.\nAnswer: 2, 3, 7, 107, 35537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 359194 and 4411770?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = i - 6. Suppose 2*h + 2*y - 13 = i, -52 = -4*h + 2*y. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 543 + -542. What is the biggest value in -2\/3, -3, y, 0.25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*p - 516 + 255 = 1345 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/89075 or 0.3499?\nAnswer: 0.3499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7 - 6 + 0*j - j. Let i(w) = -4*w + 3. Let p = 2 - 1. What is p*i(h) - 3*l(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-24))\/(((-6)\/3)\/(-56))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -14*c**5\/11 + 20*c**4 - 216*c**3\/11 - 1648*c**2\/11 - 448*c\/11 = 0.\nAnswer: -2, -2\/7, 0, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggegejjjjee. Give prob of picking 2 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27200.74 and -0.3.\nAnswer: 8160.222","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4830*g**3*s - 34*g**3 + 530462*g*s + s wrt g.\nAnswer: 28980*g*s - 204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 22*x**2 + 9223*x - 58376. Determine n(-89).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210608382 and 696.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:35 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 j when three letters picked without replacement from {j: 5, t: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 135 = -10*v. Let n be v*(40\/(-6))\/5. Let z = n + 54. Calculate the remainder when z is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21458296 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 bigger than 574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14ab - -69?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13448681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5, 295, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + s - 7, -5*s = -0*n - n - 2. Suppose o - n*o - 8 = 0. Let f(z) = -2*z**2 + 12*z - 5. Let m be f(6). Put m, o, 2 in descending order.\nAnswer: 2, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*a**2*k - 4*a**2 + 2*a*k - 2*a + k + 5 wrt a.\nAnswer: 32*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = -58*j - 456 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - u + (2 - 3 - 1)*(4*u - 4*u - u) + u - 4 + 4 + u + u - 3*u - 2*u + 4*u + 0*u + 0*u - 3*u + 0*u + (-2 + 5 - 2)*(-5*u + 5*u - u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -29*g - 105 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 3*u**2 - 7*u - 5. Let z be ((-4)\/(-30))\/((-2)\/(-13524)). Let t = -911 + z. Calculate the common denominator of f(-4) and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/110 in 1510, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-130*63\/29610)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*u - 5*u - 56*u + 125*u + 56*u.\nAnswer: 237*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = 0, 5*a = 3*k + 3*a - 328. Let m = k + -110. Let f(u) = -m*u + 8 + 3 + 3 - 17. Give f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - u - 15. Let t be j(3). Suppose t*z + 3*w - 28 = 4*z, 0 = -5*z - w - 54. Is z equal to -32\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 - 806. Let j = y - -586.421. What is j rounded to 2 decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/20)\/(8\/10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4373*m**5 + 2*m**3 - 431*m - 5?\nAnswer: 87460*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2. Let a(y) = -30*y - 40 + 84 - 53. Let f(v) = 15*v + 4. Let m(t) = 4*a(t) + 9*f(t). What is w(m(j))?\nAnswer: -675*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7800.7 + 7801. Which is the nearest to -1? (a) -6\/7 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-4 + 2 + (-6*(sqrt(272) + sqrt(272)*-1) - (-4 + sqrt(272) + 1 - sqrt(272) - sqrt(272))))*2)*-2)**2.\nAnswer: 64*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1531 (base 11) to base 10.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(((-136)\/(-170))\/((-2)\/5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306863784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -144. Calculate the remainder when 44 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174686 is divided by 348?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c*c\/(c*c*c\/((c\/c**(-1\/9))\/c)))\/(c**(-1))**(-3\/29))\/((((c\/(c**(-4)*c))\/c)\/((c*c**(2\/17))\/c))\/(c**(1\/8)*c*c**(-4))) assuming c is positive.\nAnswer: c**(-239587\/35496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 10:00 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (49\/(-28))\/(1 - 26\/24). What is the first derivative of -17 - 2*a - 40 + 2*a**2 - 16 + p wrt a?\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*((4\/(-30))\/(-1))\/(243\/729)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-126))\/(((-2)\/(-1))\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 460 - -1114. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/2 - (20 + 15). Which is smaller: w or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugggegggggggeguueg. What is prob of picking 2 e and 1 u?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575985 and 940?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21497856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from {r: 1, c: 1, g: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 11) to base 16\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*z - 5*z + 11*z + 4*z + 3*z - 5*z + (-3 + 0 + 1)*(3*z - 5*z + z) + z + 0*z + z - 2*z + 6*z - 5*z + 2*z + 4*z - 4*z - 3*z + 4*z - 3*z.\nAnswer: 59*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*s - 0*s. Suppose -2*d + 19 = s*w, -2 = 4*w - 3*d - 8. Suppose -3*l = -4*v - 0*l + 79, -5*v = -w*l - 95. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3947398 rounded to the nearest one thousand?\nAnswer: -3947000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222 + 1212011?\nAnswer: 2010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*k - 28, -s - 4*k = k - 29. Let i(q) = q - 2. Let c be i(s). Suppose -p + 63 = 2*p + c*m, 5*m = 15. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -20*w**4 + 12*w**3 + 12*w**2 + 24. Let p(y) = -y**4 + y**3 + y**2 + 1. Let d(z) = c(z) - 12*p(z). What is the first derivative of d(t) wrt t?\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + ((sqrt(22)*-3)\/sqrt(2))**2).\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 7*r + 3. Let j be o(6). Let w = j - -44. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 19. Let t be b(5). Let w(r) = 2*r + 7. Let y be w(-6). Sort t, -2, y.\nAnswer: y, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -474 + 474.00247. Round x to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 42125*t\/2 - 904763.\nAnswer: -(t - 42082)*(t - 43)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147984344.\nAnswer: 2, 3, 13, 1226479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zew when three letters picked without replacement from bevvwzvv?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 10*k**2 + 4*k**3 - 6*k**3 - k**3 as o*k**2 + r*k**3 + p + v*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19776251, 19776250, 19776249, 19776248, 19776247, 19776246?\nAnswer: 19776245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2600857 < -23407724\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15093219 is divided by 15093213.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-127)\/90173048*-72602 + (-3)\/28?\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -3*h**4\/4 + 4*h**3\/3 - 126. Let u(m) = 4*m**3 - 5*m**2. Suppose -5*r + 56 = 1. Let x = r + -7. Calculate x*u(s) + 5*y(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - b + 5*b)*(0*b**2 + b**2 - 5*b**2).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11131002 + 1332?\nAnswer: -11123010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5523*y**3 - 9949*y**3 + 4392*y**3.\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 11*p - 82. Let z be m(-17). Suppose z = 5*q + 5*d, -49*q + 47*q = -3*d - 18. Solve q*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*v + 218 = 57*v + 8714 for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 - (20\/5)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 212*w - 1019*w - 4 - 537*w + 4 in the form v*w + z and give v.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -1 (b) -3\/2 (c) -0.3 (d) 5\/27 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -13*s - 66. Calculate the smallest common multiple of d(-8) and 209.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from lhhl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330180 rounded to the nearest one thousand?\nAnswer: -10330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)\/((f**(-2\/7)\/f)\/f*f))\/(f**(-8)*f*f**0*f) assuming f is positive.\nAnswer: f**(181\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -343 + 351. Let v(w) = w**2 - 5*w - 19. Let h be v(s). Solve -n + 7 = -h*m, -m - m + 2*n = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:14 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*v, -d = -7*v + 4*v. Suppose -3*h + h = v. Suppose -2*g + 40 = -h*g. Calculate the greatest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 7*f**2 + f - 2. Let z(r) = -2071*r**3 - 42*r**2 - 2724*r + 12. Let j(x) = -6*y(x) - z(x). Find the second derivative of j(n) wrt n.\nAnswer: 12390*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -31, 3.\nAnswer: -31, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17873768, -17873769, -17873770, -17873771?\n\"Answer: -q - 17873767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 14*y - 2. Let m be ((-40)\/15)\/(4\/(-18)). Let h be z(m). Let i = -20 + h. Calculate the lowest common multiple of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + -18 + 11 + (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, g: 2, u: 1, h: 2, q: 5, v: 1}. What is prob of picking 1 u, 2 a, and 1 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 75*c + 7. Let w be x(-6). Let n = w - 153. What is the remainder when n is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7316 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/9, -1, 21, 13.78?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 2*r**2 + 26*r - 5. Let z be f(-5). Is z smaller than 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 1789920*r.\nAnswer: -5*r*(r + 357984)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 13*k**2 + 41*k + 10. Let v be n(-9). Let q be 41\/v + 116\/203. Suppose 0 = 5*g - 3*g. Put g, 2\/13, 2, q in descending order.\nAnswer: 2, 2\/13, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 - 2)*(-5 + 5 - 2*n) - 36 + 36 - 11*n)*(7*n + 9*n + 8*n) in the form i*n + k*n**2 + l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 - 132. Suppose 2*u - 2*x = 48, -m*x - 8 = -16. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - w - 2 = 3*w, 5 = q - w. Let r be q\/6 - 2\/(-3). Let j = r + 5. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.06415 millilitres?\nAnswer: 0.00206415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -29, -53, -65, -53, -5, 91?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 24 = 11*d + 3*n, 0 = -2*d + 13*n - 44 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88628153417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*p**3*q**3 + 18*p**3*w**3 + 2*p**3*w - p*q**2*w**2 + 2*q**3*w**3 + 4*w**3 wrt q.\nAnswer: -390*p**3 + 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2507, -3, 15, -5, -1, -19 in decreasing order.\nAnswer: 2507, 15, -1, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**3 + 13*a**2 + 14*a - 5. Let q(t) = t**3 + t**2 + t - 1. Let l(p) = o(p) - 6*q(p). Give l(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -74, 5, 0.6, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -34. Let t be -11*1*(-6)\/(-3). Let d = k - t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.004 - 34.904. Let g = w + 31. Let a = g + 2.9. Is -4 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 0 + 0 - (1*sqrt(10))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1322 + 0.1.\nAnswer: 1322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -7\/218408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 0, -3.355, 378, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**4\/6 - 1295*i**3\/6 + 22595*i**2\/3 - 255800*i\/3 + 286000 = 0.\nAnswer: 6, 13, 20, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z - 297 = -66*z. Solve -3*f + 14*f + z = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from hhmhmhhmhhmhhhhhhh?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + -4 - (-3 + ((1 + sqrt(3) - sqrt(3))*3 - sqrt(27)*6)))**2.\nAnswer: -272*sqrt(3) + 3484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739863.8 grams to kilograms.\nAnswer: 739.8638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 15 - 5. Let o(d) = -28*d**3 + 5*d**2 + 2*d - 2. What are the prime factors of o(n)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*r = -2 - 45, 0 = 2*d - 4*r - 26. Suppose -14*s = -d*s. Suppose 0 = 4*b - 4*u - 20, 10 = b + 4*u - s*u. Which is smaller: 23\/5 or b?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 181 - 408. Let m = p + 246. Solve -3*n - m = -2*w + 3*w, -2*n = 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + h + 15)*((0 + 1 - 3)*(3 + 1 - 2) - 8 + 5 + 5).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 - 380*n**2 - 3*n - 1199.\nAnswer: -6*n - 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5655, -4\/7, 574?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 41, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5948 - 4709. What is the remainder when y is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.158100977 to three decimal places.\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*t + 284*t - 77880 = 0. Does 44 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 75540 and 755409\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3857044 is divided by 964254?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 13528448.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5603 - 434?\nAnswer: 5136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**4 + 2 + 0*x**4 - 3*x**4 + 4 with respect to x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229824.1 millilitres in litres?\nAnswer: 229.8241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1334072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) - (sqrt(297) + sqrt(297) + sqrt(297)*-1))\/(sqrt(3) - -1*sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6523\/10 - -176141\/270. Let a be -2 + (-5)\/(-2 - -1). Let y = -0.04 + -3.96. What is the nearest to n in y, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1077 + 1523. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19940819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {w: 1, u: 2, y: 1, r: 8, o: 2, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + 3. Let w be x(0). Suppose 0 = -3*q - w + 18. Let a be q\/2*8\/(-50). Is a less than or equal to 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42241.\nAnswer: 53, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -319*r**2 + 94 - 720*r + 4*r**4 - 109*r**2 - 191 - 72*r**3 - 90 - 181 = 0. What is r?\nAnswer: -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171892 and 12740?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0406*2448.\nAnswer: -99.3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/120 + 7*u**5\/15 + 7*u**4\/12 - 17*u**3\/3 - 13*u**2 - 3*u. Is a(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*h**3 - 544*h**2 + 2*h + 267*h**2 + 280*h**2 + (-2*h + 3*h - 2*h)*(-2*h**2 + 3*h**2 + 0*h**2) in the form g*h**2 + p*h + w + x*h**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 11. Let y be o(-6). Suppose -3*g = 2*t - y*t + 33, 3*t - 35 = g. Is t greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*t + 3*p, -309*t - 2*p - 17 = -304*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38237 + 802979\/21. Let v(z) be the first derivative of 1\/14*z**4 + 0*z**2 + 0*z + d*z**3 - 28. Determine p, given that v(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -61*t - 35. What is f(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-12))\/((-1)\/(-36)). Let r be (-2)\/(-6) + (-1424)\/s. What is r rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 <= 250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1)\/((-8)\/12). List the prime factors of (3\/(-2))\/(w\/(-44)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1424 and 7387.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 - -0.44. Let s = -85 + 84.71. Let p = r + s. Which is the smallest value? (a) p (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*r + 300, 0 = r - w - 3*w - 60. Suppose r*i = 61*i + 7. Let g(o) = 11*o**3 - 11*o + 4. Let y(x) = -6*x**3 + 6*x - 2. What is i*y(a) - 4*g(a)?\nAnswer: -2*a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -1\/10*h**5 - 1\/15*h**6 + 1\/6*h**4 + 0 + 1\/21*h**7 + 0*h**3 - 4*h + 0*h**2. Solve m(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((((p*p*p*p**3)\/p*p*p*p)\/p)\/p))\/p*p**(3\/4))\/(p*p**(-1\/3))**(-1\/12))\/((p**(-1))**(3\/10)*(p\/(p*p**1))**(3\/10)) assuming p is positive.\nAnswer: p**(-827\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 133 = 2*w. Sort -3, 60, w in decreasing order.\nAnswer: 60, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 240\/(-168))\/(6\/(-12)). Factor 48\/7 - 2\/7*m**2 + u*m.\nAnswer: -2*(m - 12)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*(r\/(r\/(r*r**(4\/3)\/r*r)))\/r*r*r)\/r)\/r)\/r*r\/r**12*r)\/((r**(-12)\/r)\/((r**(-13)\/r)\/r)))**(19\/4) assuming r is positive.\nAnswer: r**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.65? (a) -1\/5 (b) -5\/4 (c) 5 (d) 171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.3 - -4129934.\nAnswer: 4129908.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 617 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-9))\/(r*r**(2\/25)*r*r*r))**(-7\/4) assuming r is positive.\nAnswer: r**(-259\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 - -3) - (23 + (19 - 11)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -5 - (24 + -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*w**5 - 2*w**4 - 110*w wrt w.\nAnswer: -2000*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -263, -526, -789, -1052?\n\"Answer: -263*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 2*k - 10\/3*k**4 + 0*k**2 + 19*k**5 + 175\/6*k**7 + 0*k**3 + 0 - 119\/3*k**6. Factor r(m).\nAnswer: 5*m**2*(5*m - 2)*(7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12190485 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991334.\nAnswer: 2, 495667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2568*i**3 - 12*i**2 + 3796. Let o(k) = 1027*k**3 + 5*k**2 - 1518. Let f(j) = 5*g(j) + 12*o(j). What is the first derivative of f(m) wrt m?\nAnswer: -1548*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/7, -0.8, 0.04, -0.03 in increasing order.\nAnswer: -0.8, -0.03, 0.04, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 - -4?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 289733551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 157343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184434969?\nAnswer: 3, 61478323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61601.0031629 - -61601. What is p rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 7*i - 4*i - 3*i + 12. Let t be j(-5). Suppose 4*f - t*f = 142. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + j**2 + 48*j + 1 - 23*j - 41*j + j**2 to m*j**2 + y*j**4 + q + s*j**3 + k*j and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pycccyscpppptcpcc. What is prob of sequence ttp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.02843339*-5.\nAnswer: -5.14216695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*3 + 2)**2*4.\nAnswer: 336*sqrt(19) + 33532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 980580.9l?\nAnswer: 980580900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*(-4 - (1 - 5)). Suppose 37*f + 3620 - 24377 = q. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4880, -16979, -37144, -65375?\n\"Answer: -4033*z**2 - 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -22*p + 388916. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 + 6*p - 12. Determine w(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2. Let g(d) be the second derivative of 2*d + 0 + 0*d**3 - 1\/6*d**4 + 0*d**2. Calculate g(b(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -17*i**2. Let f(y) be the first derivative of 2*y + 9. Let p(n) = n - 1. Let r(u) = f(u) + 2*p(u). Determine b(r(g)).\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265355, -265346, -265337, -265328?\nAnswer: -265319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 5 (c) -45 (d) 0.03 (e) -446\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 - 26 = 0. Let l(u) be the first derivative of -26 - 4\/3*u**3 - 5\/2*u**2 + 0*u + 1\/4*u**4. Determine l(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(3059\/(-152))\/(-23)*3\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43420105 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354*861.\nAnswer: 304794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 3\/(-42) - 114300\/(-840).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*g - 8, 3*h + 12 + 9 = 3*g. List the prime factors of g\/3 - (0 + -2 - 130).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnxx when four letters picked without replacement from xnnxn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = 5*x, 2*q - 63 = x. What is the least common multiple of q and 28*7\/(147\/15)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1154 = -3*k + 1207. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113 is divided by (-1 - 115\/5)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72910 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 51 = -3*x. Solve x = -3*h - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*o - 21, 5*o + 34 - 5 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*s - i, 5*s - 3*i + 2 = 4. Suppose -2*r + 0*r = -2. Let c be (1 + -3)*1 + 7. Solve r = 3*h - x - s, -x - 2 = -c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 12*j**2 + 61*j + 52. Determine g(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = -84*i - 1928 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51 + 14 + 14 + 332*t + 21 - 3*t + 2*t + 0*t + (-t + 0*t + 3*t)*(1 - 5 + 5).\nAnswer: 333*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 88. Suppose -h = 4*h - g. Let n be (h\/10)\/((-3)\/(-10)). Let c(s) = s**3 - 3*s**2 - 5*s + 4. Determine c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -16. Suppose s = j - 2 + 42. Is 14506\/8 - 5\/(j\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 19*s + 114 = -278, 15*f - 60 = 10*f + 4*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 60892 divided by 34\nAnswer: 30446\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44812754?\nAnswer: 2, 7, 19, 41, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.095094ms in nanoseconds?\nAnswer: 1095094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (sqrt(147)*3 + -4)**2.\nAnswer: -168*sqrt(3) + 1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 5. Calculate the lowest common multiple of (-21)\/42 + (0 - 17\/(-2)) and x(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5625 * -207011.\nAnswer: 1164436875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2754020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47571)\/(-9) - ((-3)\/9 + 0). Let m = q + -2453. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.3 * 137.\nAnswer: 2370.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -244, -773, -1754, -3325?\nAnswer: -5624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 989115 <= 989115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/9 + -2)\/(82\/123). Solve 4*w - 8*w + 20 = b, 4*w = a*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*g + 308*g - 27 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011100000 (base 2) in base 9?\nAnswer: -3104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-2)*4\/1. Let i = 150 + v. What is the highest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3895556\/789*(-3)\/(-4).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644 (base 10) to base 9.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1 (c) -64\/7 (d) 0 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1716191 divided by 29\nAnswer: 59179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let k(x) = 10*x - 2. Let g(j) = -5*f(j) + k(j). Suppose 5*b = 3*b + 6. List the prime factors of g(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 3 = -8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(1\/(-15)). Let w be ((-2)\/(-3))\/(((-4)\/18)\/(-1)). Suppose 5*j + 0*j + w*j = 0. Sort m, 1, 2, j in decreasing order.\nAnswer: m, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:48 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-1)\/6). Let g be (-1 + 22)*11\/((-44)\/(-12)). Calculate the greatest common factor of g and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -799369517 and -288.82?\nAnswer: 799369228.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 261630 divided by 570?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 0.08. Let o = 0.2 - j. Let z be 2\/(-9) + 48\/(-270). What is the closest to 1 in 1\/8, o, z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -3) + -2 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33053335510 - 4?\nAnswer: 33053335502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382939645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from nrgrgnngnnnrn?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 392. Suppose -3*u + 4*k + i + 28 = 0, 0 = -4*k. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/6*m**3 - m**2 + 0*m**5 + 0 + 0*m**4 + 0*m**6 + 1\/1260*m**7 + 0*m. Let n(a) be the first derivative of v(a). Factor n(k).\nAnswer: 2*k**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -388*0.02456\nAnswer: -9.52928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2238 + -331. List the prime factors of q.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9836d (base 15) to base 2.\nAnswer: -1110110000001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x**3\/9 - 210572*x**2\/3 + 554109660*x + 2328498900 = 0 for x.\nAnswer: -21\/5, 15795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2305.\nAnswer: -1\/2305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277734 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:09 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/10, 0.4, 1\/33, -4 in decreasing order.\nAnswer: 13\/10, 0.4, 1\/33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c + 0 - 3355*c**2 + 2 + 44*c - 88*c.\nAnswer: -3355*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 0, -6, 4, -3\/7.\nAnswer: -6, -2.5, -3\/7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100110 + -1000011011000111?\nAnswer: -1000010001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-1 + 10)) + (-7 - -12) + 18.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.76 - -1.24. Which is the second biggest value? (a) 0.8 (b) r (c) 0.1 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 13. Let i(l) = 4*l + 12. Let n(v) = -2*i(v) + 3*j(v). Let q be n(-13). Determine g so that 0 + 0*g + 0*g**q - 2\/9*g**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (110\/12 - 9) + 34\/12. Find the second derivative of -341*k**m + 152*k + 677*k**3 - 4*k**4 - 344*k**3 wrt k.\nAnswer: -48*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-6\/13)*y**3\/y*y*y**3 assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - a)*(-a - 8 + 2*a + a).\nAnswer: -2*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {m: 2, l: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11377 - -11405. Solve y = -628*o + 621*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587 + 1175 - t - 585.\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -2\/11 (c) -1518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 0.06927248\nAnswer: -0.0013854496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 83*v**3 + v**2 + 2*v + 2. What is t(-1)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 972*m**3*w**2 + 35*m**3*w + m**2*w**2 + 3*m*w**2 - 3*w**2 + 22*w + 66 wrt m?\nAnswer: 5832*m*w**2 + 210*m*w + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 8 + 10 + 54*y + 13 in the form o + l*y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let j(h) = h + 3. Calculate j(y(t)).\nAnswer: -3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 41, 0.4, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.009810746 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24616 and 504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 99. Let m = d - -61.99988. Round m to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 75165029\nAnswer: 5\/75165029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2654661 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 + 43*x**2 + 23*x - 3. Give c(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**2 - w - 8 + 0*w + w**3 - w. Let u be o(-12). Let h be u\/3*3\/2. Solve 4*z = -4*a + 8 + h, 0 = -5*z - 3*a + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -11*x**3 - 32*x**2 + 3*x - 13. Let o(h) = -19*h**3 - 62*h**2 + 5*h - 24. Determine 5*k(q) - 3*o(q).\nAnswer: 2*q**3 + 26*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 8968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 23*x**3 - 14*x**2 + 20. Let l(w) = -8*w**3 + 5*w**2 - 7. Determine 17*l(m) + 6*t(m).\nAnswer: 2*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6, 0 = -27*c + 29*c - 5*r + 12. Let g(k) = -2*k + 11. Let x be g(5). Sort 5, x, c in decreasing order.\nAnswer: 5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*i + 2*b, 2*i + 2*b = 5*b + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -6, 6, -4 in descending order.\nAnswer: 8, 6, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49954 by -6539.\nAnswer: 49954\/6539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*j**3 + 43*j**2 - 43*j**2 + (1 + 2 - 2)*(j**3 - 2*j**3 + 3*j**3) - 2*j**3 + 2*j**3 + j**3.\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -9. Solve 0 = 3*s - 2*s - q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -337*x + 340*x. Which is the smallest value? (a) x (b) -0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.309 + -124.409. Let c = -122.09999507 - a. Round c to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228051870 a multiple of 1041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3*k. Let y be n(-5). Let m = -8 - y. Solve -2 = -m*o - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 1658 = -1642 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3123 + -3122.63. Let y = -9\/7 + 29\/28. Which is the nearest to 0? (a) -3\/4 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1683 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -22*l**4 + 55054*l**3 - 494100*l**2 + 987408*l = 0.\nAnswer: 0, 3, 6, 27428\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -14*r - 7. Let u(z) = 29*z + 15. Let o be (-13)\/(6 - (8 - 3)). Calculate o*j(i) - 6*u(i).\nAnswer: 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.3, -0.02, 1\/5, 0, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190882 (base 10) in base 3?\nAnswer: -100200211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 45, 100, 177?\n\"Answer: 11*x**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181195 is divided by 304.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a + 122. Let y be j(20). Suppose 3*w = 9*r - 14*r + 2749, 2*r = -y*w + 1834. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + (-26 + 6 - (21 + -6)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6871.\nAnswer: 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -156.93?\nAnswer: -156.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5668276 to the nearest integer?\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 22*n - 78. Let u be p(18). Let t(a) = -2*a + 3. What is t(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 1\/90*o**5 + 14*o**2 + 0 + 0*o + 1\/1008*o**8 - 1\/120*o**6 + 0*o**4 + 0*o**7 + 0*o**3. Solve q(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601.3091l to millilitres.\nAnswer: 601309.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-520))\/(5\/(-10))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(((-4)\/(-8))\/(-1)). Let h be (36\/a)\/(2\/(-10)). Suppose -h = b - 2*b - 5*d, -3*d - 9 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j. Let o = -23 - -21. Give p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10107 = 3*r, -25*r + 24*r + g + 3377 = 0. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112.906 - -3.\nAnswer: -109.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6252, 6257, 6262?\n\"Answer: 5*v + 6247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**2 + 3*z + 13 - 47 - 32 + 20 - 29 as y*z + x*z**2 + j and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/12)\/(135\/37956). Let r = k - 602\/9. Calculate the common denominator of 11\/2 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -341298 + 7?\nAnswer: -341291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 21065250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282719 - 1282719 + 1360*a.\nAnswer: 1360*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-33)\/s**30*(s\/((s\/s**(-18))\/s))**(-2\/5))**(-24) assuming s is positive.\nAnswer: s**(6744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 467, 3379, 11199, 26381, 51379, 88647, 140639?\n\"Answer: 409*m**3 + 49*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*m**4 - 29*m**4 - 19*m**4 + (7 - 3*m**2 - 7)*(m**2 - 3*m**2 + m**2) to the form k + q*m + g*m**4 + a*m**3 + i*m**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3472, 3, -4, 8, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -257.7954 and -0.39?\nAnswer: 100.540206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, c: 1, d: 4, z: 3}. What is prob of sequence gzdz?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -3*z + 3*u, -5*z = 5*u + 135 - 385. Suppose -4*f = -4*k - 84, -2*k - z = 4*f - 2*f. Let l = k + 28. Solve -2*g + 4 + l = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*j + 136. What is j rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, t: 1, n: 3, c: 3, k: 3, m: 1}. Give prob of sequence bccn.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g - 6*g + 16*g - 2)*(-83*g**3 - 79*g**3 + 158*g**3).\nAnswer: 8*g**4 + 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 - 10*t - 10. Let y be b(-3). Is 6\/y*(-21)\/63 - -11108 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-2)\/4). Let l be j\/12 - 9\/4. What is the remainder when l\/((10\/115)\/(-1)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2474 - -2793. Solve w = -c + 315 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-510)\/408 - (2 - -2)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -82. Let j(f) = f**3 - f**2 - f + 1220000. Let k be j(z). Round k to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2205558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -1\/15, -1\/5, 0.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -l + 7 - 4, -4*l = 2*u - 12. Solve -4*k = -a - 4 + 6, u = -2*a + 2*k + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4726 divided by -34\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 + 3.316. Round s to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o - 13 - 3 + 47*o - 48*o - 5. Let d(x) = 2. Let b = -8 - 2. Let a(p) = b*d(p) - 2*k(p). Find the first derivative of a(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 4. Suppose -2*n - 2 = -8. Is 4 a factor of a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 986 = 5*j - 4*j - 3*b, 4*j + 2*b = 3902. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 3084*j + 86072.\nAnswer: 4*(j - 742)*(j - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -45*x**2 + 227*x - 6. Let u be t(5). Let s(c) = c - 5. Give s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2194818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1625*i + 359 + 361 - 3031*i - 1080 + 361.\nAnswer: -4656*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) 15 (b) 0.17 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - -4 - (0 + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 37. Let z be y(13). Let j(s) = 30*s - 34*s + 4 - 1. What is j(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497715467 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*o + 173*o - 1107640. Round o to the nearest one thousand.\nAnswer: -277000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*p)*(2 + 0 + 0 + 1 + 0 + 1 + (3 - 3 - 2)*(-2 - 1 + 2) + 6 - 4 + 0)*(7*p - 97*p - 320*p).\nAnswer: 9840*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/11 - -37\/33. Let q be 292\/132*3 - 5. Is k not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5073*q**2\/2 + 951*q\/2 + 18.\nAnswer: 3*(19*q + 1)*(89*q + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 24*t + 1. Let d be a(4). Let c = d + -30. Let s = c - 34. Calculate the remainder when s is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away -131121499226875?\nAnswer: 131121499226875.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -15. Let v = 5.6 - q. Let k = v - 0.6. Sort k, 1\/3, 3 in increasing order.\nAnswer: k, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -187, -1831, -6329, -15109, -29599, -51227?\n\"Answer: -238*i**3 + i**2 + 19*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0*p**2 + 18 - 3*p + 41\/10*p**5 + 0*p**3 + 1\/3*p**4. What is the third derivative of s(r) wrt r?\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*360.36.\nAnswer: -2162.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p - 34. Let j be y(-3). Solve -j*n - 3 - 1\/3*n**2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(306\/187)*-3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -745 divided by -1696\nAnswer: 745\/1696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1\/32, 2, 2321 in decreasing order.\nAnswer: 2321, 3, 2, -1\/32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1 + (-2)\/((-10)\/35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/16)\/(-3 + (-46)\/(-24)). Is z less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/3 - 43*z**4\/3 - 137*z**3\/3 - 49*z**2\/3 + 136*z\/3 + 92\/3 = 0. What is z?\nAnswer: -2, -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**3 - 161*b + 156 wrt b?\nAnswer: 18*b**2 - 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3866*k + 3 - 1291*k - 1287*k - 1292*k.\nAnswer: -4*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68a43 + 4?\nAnswer: 68a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.842807 seconds to nanoseconds.\nAnswer: 842807000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -302 + 405. What is the remainder when o is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 7*k**5\/60 - 2*k**2 - 19*k. Let s = 23 + -16. Let g(v) = 6*v**2 - s*v**2 + 3*v**2. Determine p(g(z)).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 5*m - 35, 15*m + 5 = -4*n + 18*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, -0.1, 28\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -930, -1860, -2790, -3720, -4650, -5580?\n\"Answer: -930*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/478605 and -49\/638.\nAnswer: 305349990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -980\/13 + 602\/13*d - 4*d**2 - 2\/13*d**3 = 0.\nAnswer: -35, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25147 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 x when four letters picked without replacement from {x: 1, d: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*b**3 - 389155*b**2 + 277940*b + 111180 = 0. Calculate b.\nAnswer: -2\/7, 1, 11118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 + 10?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2270528 and 45760?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 786583 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-2)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/3*(-8)\/120 + -3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2322 divide 62972640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, s: 2}. Give prob of picking 1 s and 2 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6501, 11551, 16601, 21651?\n\"Answer: 5050*s + 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3868 and 106783876.\nAnswer: 3868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2057) + (sqrt(2057) + (sqrt(2057) - (1 + sqrt(2057)*3) - sqrt(2057)))**2)*-2.\nAnswer: -16458 - 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/48)\/((-1)\/8*1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -14. Suppose 0 = y*h - 34 + 6. Suppose 16*l - 30 = h*l. Solve -4*r - l = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -20. Suppose -2 = 3*g - y. Suppose -3*n + 60 = 3*x, -n + 3*n = x + 34. Calculate the remainder when n is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/803 and -31\/523702.\nAnswer: 5760722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.12, 0.1, -4, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8161850 (base 11) to base 6\nAnswer: -1233052323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -25. Suppose 6*z - 3*z = 5*i + 2, 3*z + 5*i - g = 0. Let v be 4*6628\/72 - 2\/z. Calculate the greatest common factor of v and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*m + 72, m = 19*o - 15*o - 340. What is the remainder when (46 - o)*(-1 - 0) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2487187911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 548 - -4?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*h + 20, 0 = 5*h - 5*g + 3 - 28. What is the nearest to 0 in -2, 7\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -5*r**2\/2 + r + 1. Suppose 436 = -251*l - 568. What is h(l)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-30)\/s)\/(s\/(s\/(s*s\/s**13))))\/(s**(-29)\/(s*s\/s**(-1\/25))) assuming s is positive.\nAnswer: s**(276\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:57 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 175 - 37. Let n(w) = w**2 + 23*w - 1. Let j be n(i). Is (2 - j\/1)\/(6\/706) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2*l + 2*i**2 + i*l - 226*i + 7796*l wrt i?\nAnswer: 2*i*l + 4*i + l - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 + -93. What is the remainder when u is divided by ((-630)\/252)\/(10\/(-168))*1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(171) - (sqrt(171) + 2*sqrt(171) + sqrt(171) + -4) - sqrt(171)) + sqrt(171) - (-5*(-3*sqrt(171) + 1))**2) + 3.\nAnswer: -153965 + 1764*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n - 7*n + n**2 + 7*n + 4*n**2 - n**2. Let b(f) = -f**2. Determine i(b(h)).\nAnswer: 4*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/744427 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**3\/2 - h**2. Let n(o) = -o + 1. Let f = 309 + -311. Let l(t) = f*m(t) + 6*n(t). Let k(y) = -3*y**2. Determine k(l(q)).\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 959163 and 7729?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 10, 6 in descending order.\nAnswer: 10, 6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - 1.3. Let w = 5.4 + h. Let t = w - -1.4. What is the biggest value in -0.4, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 5*v + 16 = 0. Solve 3*l - 6 = -4*y + 8, v*y - 18 = -l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 minus -126630255?\nAnswer: 126630156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**3 - 7*d**3 + 0*d**3 - 5*d**3 + 6302*d**2 + d**3 to the form t*d + c*d**2 + w + b*d**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2)*(-11)\/132 + 58513279\/44 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1911 or 1941?\nAnswer: 1911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -223\/49187880 and -173\/960.\nAnswer: 393503040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbbbbbbbbbb. What is prob of sequence rbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -4*s + 2*f - 32, 5*f - 65 = -5*s. What is the greatest common factor of s and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiaa when four letters picked without replacement from iiaaiiiaaaaa?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 27*w. Let z(h) = -2*h. Calculate o(z(x)).\nAnswer: -54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(9\/8))**46 assuming n is positive.\nAnswer: n**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-29))\/((-1)\/(-7*(-9)\/63))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37416137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002756368 to five dps.\nAnswer: -0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -38 (b) -1 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221313 + 1311113?\nAnswer: 1023200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 987634127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"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: Let j(c) = 1075*c**2. Let v(a) = -847*a + 1719*a - 875*a. Give j(v(t)).\nAnswer: 9675*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2*8\/(-8))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 286019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g + 584. Let s = -57 - g. Suppose 0 = -4*h + 5*t + s, -t - 84 = -3*h - 3*t. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -236*j**7\/7 + 5*j**3\/3 + 4*j**2 + 154. What is the third derivative of g(f) wrt f?\nAnswer: -28320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 26. Let u = 1 + g. Calculate the smallest common multiple of 34\/u - (-30)\/(-10) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16601\/26960 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1415 + -28289\/20. Find the common denominator of (-2073)\/216 + 2\/9 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 34072*x**2 + 456*x - 1815. Is j(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3b9d2 (base 14) to base 2\nAnswer: -100011111110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-10))\/((-4)\/20). Let q(h) = h**3 - 2*h**2 - 5*h - 3. Let d be q(4). Let m = d - g. Which is greater: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**7\/70 + h**5\/5 - 11*h**2\/2 + 1. Let u(v) be the second derivative of w(v). Find the third derivative of u(f) wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27236110 to the nearest integer?\nAnswer: 5219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 4. Let h = o - 12. What is the nearest to h in 0, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c, 4*t - 31941 = -c - 2*c + 33859. List the prime factors of t.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*k + 183, 0*l - l - 4*k + 51 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36966 (base 16) to base 3.\nAnswer: 102100201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -o - 1 - 4, 4*o - 5*p + 5 = 0. Suppose q - l + 3 = 0, l = q + 2*l - 3. Let j = 13 + q. Solve 4*x + j = -3*h, h - 18 = o*x + 3*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*w + 5 = -15, 4*p + 30 = 2*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -701? (a) 3 (b) 2 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((9 - 8)\/(-16))\/((-1)\/(-3)). Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.240952 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 8*o - 3. Let r be t(-5). Let d = 43 + r. Let v = 36 + d. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3040, -6076, -9112?\nAnswer: -12148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-22)*6)\/(-2)*(-16)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -7) - (-15 + -43 + 60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27120 - 27117. Let g(o) be the third derivative of -1\/6*o**4 + 0 - 12*o**2 - 17\/6*o**t + 0*o. What is the first derivative of g(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2)\/sqrt(11))**2 + -5 - sqrt(95)\/((sqrt(35) - sqrt(315))\/sqrt(7)).\nAnswer: sqrt(19)\/2 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70567 = 108*z - 109901. What is the remainder when z is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:30 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742921399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6098.88 + 705992.\nAnswer: 712090.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-45) - (0 + -1))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-35))\/(18\/(-120)*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 - 4*j**2 - 4*j. Let c be 52\/(-10) - (-9)\/45. Let n(f) = f**3 - f**2 - f. What is c*u(h) + 20*n(h)?\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*a - 39*a - 57051 + 11166 = 0 for a.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-1\/7)*k))\/(k\/k**9)*(k**(1\/7))**(-22))**(1\/5))**(7\/5) assuming k is positive.\nAnswer: k**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481405457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 11919*i**2 - 59626*i - 71544.\nAnswer: (i - 6)*(i + 1)*(i + 11924)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 138529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 13, 4, 20, -211 in increasing order.\nAnswer: -211, -19, 4, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004997 to 6 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1872)*2*-2 - sqrt(1872))**2 + sqrt(1872)*-2 + -2 + 2*(-1*sqrt(1872) + sqrt(1872)).\nAnswer: -24*sqrt(13) + 46795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6439 + 1155572088?\nAnswer: 1155578527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 993 = j, -2*l = -0*j + 3*j - 2955. Suppose -25*h = -j - 1388. Calculate the remainder when h is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/10)\/g*((g\/(g\/(g\/g**6)*g))\/g*g)\/g*g**5\/g**8*((g\/g**(1\/2))\/g)**27\/(g**0)**(-33) assuming g is positive.\nAnswer: g**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 77 = 7. Let n be 30\/(-33)*(w\/20 + -2). What is the second smallest value in 2\/5, n, 8\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let w(g) = 3*g - 3. Let q be w(a). Suppose 9 = -q*n - 3*i, -5*n - i = -0*i - 1. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 35*n - 2. Let u(t) = 2297*t + 4. Let j(m) = 3*u(m) + 6*x(m). Let p(g) = g. Give p(j(a)).\nAnswer: 7101*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/182381, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a - a**2 - 9*a - 3 - 1 - 12*a. List the prime factors of u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + -1*sqrt(117)*2 + -6*((sqrt(117) + -2 + sqrt(117))*6 - sqrt(117))))**2*2.\nAnswer: -1387200*sqrt(13) + 27281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 13*c**2 - 18*c - 17. Let j be g(-12). Let s = j - 49. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.444 - 13.584. Let u = f + 12. Round u to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -j. Let i(q) = q**2 - 2*q - 3. Let u be i(j). Sort u, -1, 2 in decreasing order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705\/19 <= 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 45 - 44 + 13*p**2 - 2*p. Calculate the remainder when 23 is divided by b(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = h - 0*h. Suppose -h + 37 = 3*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4 + 4. Let m be g\/(-3)*(-3)\/(-2). Sort m, -1, -6.\nAnswer: -6, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 4. Let p be u(-3). Let k be (-10)\/8*44\/11. Let m be (-8)\/4 - (0 + -1). Put p, k, m in descending order.\nAnswer: p, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88096.\nAnswer: 2, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m**4\/7 - 255*m**3\/7 - 1203*m**2\/7 - 1185*m\/7 - 225\/7 = 0.\nAnswer: -15, -5, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 26, 15, -32, -127, -282, -509, -820?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220323103 - 12?\nAnswer: -220323120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11315 = 298*u - 97*u + 339*u - 26485 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.2725 milligrams to grams.\nAnswer: 0.2902725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-6*(-6)\/(-16))\/((-110)\/(-176)). Let x = -3 - -2.95. Which is the second smallest value? (a) x (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**4 - f**3 + f**2 + 2. Let c(m) = -6*m**3 + 3*m**2 - 1026. Let q(j) = c(j) - 6*h(j). What is the first derivative of q(p) wrt p?\nAnswer: 24*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 + 4*z + 11. Let s be p(-5). Suppose 2*w - 6*w + s = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 33 - w - 9 - w**2 - 15. Calculate h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r. Let f(h) be the second derivative of -h**6\/720 - h**4\/6 + 9*h**3 - 42*h. Let w(y) be the third derivative of f(y). What is w(s(a))?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqa when three letters picked without replacement from {a: 3, q: 12}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 10*c - 9. What is y(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 198 = -14*p. Let x = 329 + p. What are the prime factors of 3*(-1)\/(-6)*(x + 3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - r = -4*w - 5, 2*r = w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-5))\/(3\/(-15)). Let r(a) = a**2 + 2*a. Let o be r(-4). Let u = o + h. Solve -12 = -3*c - u*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*f - 5*y, -12 - 53 = -5*f - 2*y. What is the smallest common multiple of 8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6877118 is divided by 1719279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5531*x - 15915 - 22802 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/12 - 5*p**3\/6 + 7*p**2. Let j be z(-4). Solve -3*h = -j + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -0.1, -2\/3, -39\/7 in increasing order.\nAnswer: -39\/7, -1, -2\/3, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -621*i**2*p**3 + 191*p**3 wrt i?\nAnswer: -1242*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -29\/4 (c) -3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + 9. Let p = t + -61. Solve -m - p = -4*c, 0*m - 5*m - 5 = -3*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82140126 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-112)\/(-9) - (17 - (26 - 1))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y + 198. Let l = 6723 + -6712. What is the greatest common divisor of y and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1843, -14838, -50107, -118786, -232011, -400918, -636643?\n\"Answer: -1856*f**3 - f**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 5. Suppose 60 = -2*g + 5*g - 4*n, -5*g + 4*n = -100. Suppose g = 4*p - 4*m, -3*p - p + 36 = 4*m. Is p at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*a**2 + 0*a - 8\/5*a**4 + 6\/5*a**3 + 2\/5*a**5.\nAnswer: 2*a**3*(a - 3)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 5*k**3 + 2*k**3 - 17*k + 42*k - 22*k**2 + 35. Does 13 divide d(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (20 + -17)) + -27 - 12\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385590312.\nAnswer: 2, 3, 5355421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 9*c**2 + 3*c. Give y(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 501554245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 609\/(-35) + (2 - 24\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 15 - 35\/(-7))*(-63)\/(-168)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 783153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*w = -4, -4*u = -3*w + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*a + 151117 + 14*a**2 - 12*a**2 - 151115.\nAnswer: 2*a**2 + 179*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 15360 = 13*s - 2*s. Does s = 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.2284nm in centimeters?\nAnswer: 0.00006352284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 208354 - 3?\nAnswer: 208351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -2202?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 737*w + 737*w - 3*w**2 - 7*w**4 + 991*w**3 + 26 - 989*w**3 to n*w**3 + v*w**2 + d + l*w**4 + t*w and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470385650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 324246420 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w**5\/9 + 106*w**4\/9 + 34*w**3\/9 - 154*w**2\/9 - 4*w\/3 = 0.\nAnswer: -3, -2, -1\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 - 9936*w + 453195 = 0. What is w?\nAnswer: -3357, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -6\/11, 0.2, -3\/8, 620, 0.6, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2746*a - 7185 = -1352*a + 16513 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 - -8) + 4 + 0. Sort z, -2, 1, -3.\nAnswer: -3, -2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 + v + 5. Let g be l(0). Suppose -5 + 25 = g*d. Let o(t) be the second derivative of -t**3\/3 + 5*t**2\/2 - t. What is o(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -402526.194 and -67233?\nAnswer: 335293.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 + 4)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89\/7 + -1367\/91. Let r be (-4)\/8 + (-3)\/(10 + -4). Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 4*q**7\/7 - q**4\/2 - 5*q**3 + q**2\/2 - 39. What is the third derivative of l(c) wrt c?\nAnswer: 480*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:38 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474\/(-2765)*(-6)\/(-4)*28\/(-18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286276 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98516*k**4 - 631587*k**2 wrt k?\nAnswer: -2364384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*p + 38, -3*p = -160*t + 166*t - 93 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m. Let h(n) be the third derivative of 0 + 3*n**2 + 0*n - 1\/20*n**5 + 0*n**3 + 0*n**4. Calculate w(h(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112120 - 1120101?\nAnswer: -12002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose 6*d - z*d - 6 = 0. Suppose -d*u + 69 = -6. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqq when three letters picked without replacement from {h: 2, l: 4, w: 7, q: 3, d: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 9*u**2 + u - 9. Let k(i) = -i**3 + 5*i**2 - 3*i + 5. Let h be k(4). Let y be m(h). Suppose 3 = -y*r + 3*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75774, 75846, 76024, 76356, 76890, 77674?\n\"Answer: 8*r**3 + 5*r**2 + r + 75760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 20*k**2 - 74*k - 20. Let i(z) = -13*z**2 + 49*z + 13. Let x(l) = -8*i(l) - 5*v(l). Is 37 a factor of x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 11*k**2 + 15*k - 7. Give o(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 26*o**5\/15 + 11*o**3\/6 + 37*o**2. Differentiate z(k) with respect to k.\nAnswer: 208*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/8 - k**3\/3 + k**2\/4 + 4. Suppose d(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = 6*u. Suppose -5*d = -0*d + 5*q - 20, 2*d = -u*q + 8. Find the second derivative of -w**3 - 4*w + w + d*w wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*p - 3*p + 28 = 0, 2*j - 5*p = 20. Solve -j*s - v - 3 = 7, 2 = -s - 2*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -8 - (-2 - 5 - -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/308 and 89\/164640.\nAnswer: 1811040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*t + 4*t - 28, 0 = -k - t + 6. Let r(c) = -9*c**2 + c. Let l be r(k). Let w be 2\/(-10) + 42\/l. What is the nearest to -1 in w, 0.2, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 0*m + 6*m**2 + 4 + 0*m - m**3. What is the least common multiple of (-3)\/(-2)*28\/3 and b(6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -2 + 4 + 2. Let n = 8 - i. Solve 0 = -2*a - 5*k - 17, a = 2*k + n + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44753734*p**3 + 89507425*p**3 - 44753711*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 - 7*h + 6. Let z(w) = -w + 1. Calculate b(a) - 6*z(a).\nAnswer: -5*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r + 8*w - 230, 4*r + 40 = 4*w - 76 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(6\/13)\/(x**(-1))**(15\/8) assuming x is positive.\nAnswer: x**(99\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13116.1626s in days?\nAnswer: 0.1518074375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 + -159. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - s**2 + 4*s**2 - 28*s in the form m*s + b + p*s**2 and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 729956.79 take away -2753?\nAnswer: 732709.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 122484, 1 in decreasing order.\nAnswer: 122484, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 4*x - 1. Let v(u) be the third derivative of u**5\/12 - 11*u**4\/24 - u**3\/3 - 33*u**2. Calculate 8*b(w) - 3*v(w).\nAnswer: w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3960860, 3960743, 3960628, 3960515, 3960404, 3960295?\n\"Answer: b**2 - 120*b + 3960979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*y - 62*y + 2*r + 9 = 0, -3*r - 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22435 is divided by 5497.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 284.0546343 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 36*a**2 - 72*a - 181. Let v be y(18). Calculate the highest common divisor of v and 668.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 89\/13 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 18. Let s = 16.0000014 + l. Round s to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-64)\/(-152))\/4 - 397\/(-19). Calculate the common denominator of 14\/49 - (-2)\/s and (-8)\/(-28) + 97\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 57*y - 47. Let u be x(14). Let t = u + -745. Solve t*c - 2 = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 488, 1946, 4376, 7778, 12152?\n\"Answer: 486*t**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -3653 + 221. Calculate the highest common factor of 18 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(80\/140))\/((-7)\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11650 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1082462 + -841?\nAnswer: 1081521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 - 1\/30*k**5 + k**2 + 0*k**4 + 0*k**3 + 2*k. Let z(v) be the first derivative of x(v). Let p(y) = 2*y. What is z(p(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2814 and 42?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3 = 3*c - 1, 5*c = -10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**11*i*i*i**(4\/5)*i)**(-28)*((i*i**(-10))\/i**6)**(2\/123) assuming i is positive.\nAnswer: i**(35538\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1540903 (base 11) to base 2.\nAnswer: 1010000011101010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004230 (base 5) in base 16?\nAnswer: 3f3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 8) to base 7\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - ((-1446)\/(-66) + -19))\/7.\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -2*u**7\/105 - 13*u**6\/60 - 4*u**5\/15 + 4*u**4 + 1145*u**2. Factor m(x).\nAnswer: -2*x*(x + 4)**2*(2*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -57. Calculate the greatest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -87*y + 4. Let v be f(3). Let a = v - -107. List the prime factors of (-48)\/(-40)*a\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 875723082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m. Let p(j) be the second derivative of -j**5\/10 + 17*j**4\/12 - 17*j**3\/6 + 6*j**2 + 74*j. Let x(l) = 5*h(l) + p(l). Let x(n) = 0. What is n?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/11 - 111880*d**2 + 189347499434*d\/11 - 7950424204884\/11 = 0.\nAnswer: 42, 307649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19\/(-3))\/((-1)\/(-3)). Let x(k) = k**2 - 730*k - 8901. Let o be x(-12). Sort z, o, 0 in ascending order.\nAnswer: z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n**3 + 8*n - 2. Let k(u) = -5*u**3 + 4*u - 1. Give 6*a(c) - 13*k(c).\nAnswer: 5*c**3 - 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 7:18 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20763784 - 16?\nAnswer: -20763811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -67*n**2 - 222*n - 59. Determine v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1 in descending order.\nAnswer: 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 4:35 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1507*i**4 + 1634*i**3 - 10*i**2 + 318201.\nAnswer: -36168*i + 9804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -27) + 10 + 1 + (1 - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-9)\/15 + (-168)\/(-30). What is the tens digit of (-44 - -5)*-1*(z + 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377339, -377338, -377341, -377348, -377359, -377374, -377393?\nAnswer: -377416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.43 + -35207.\nAnswer: -35209.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.1. Let k be ((-4)\/(-24))\/(1 - 2). What is the closest to -0.05 in k, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -0 - 2, 4*v = 5*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 14 = -10. Solve -r*m**3 - 17 + m**3 - 3*m + 10*m**2 + 17 = 0 for m.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(12) + (sqrt(300) + -2*sqrt(300) + sqrt(300))**2 + (sqrt(12)*1*2 - (1*sqrt(84))\/sqrt(7))**2.\nAnswer: sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.211, 2\/27, 0, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4 + 178*y**3 - 2837*y**2 + 5062*y + 37200 = 0.\nAnswer: -8\/3, 6, 25, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 4*l**3 + 2*l**4 - 14 + 3*l**3 + 2*l - 5*l**3 to a*l + d*l**4 + o + p*l**2 + g*l**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(475) - (sqrt(475)*3*-2 - sqrt(475))) + (-2*(sqrt(475) + 2)*3)**2.\nAnswer: 760*sqrt(19) + 17247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*y - 1731*y = -243*y + 3798 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + (-232)\/(-44).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15048)\/3553)\/72*(-17)\/166?\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011119238 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-707)\/70)*2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31011806?\nAnswer: 2, 7, 71, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6352688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/((-2)\/(-3)). Let w be 7\/(h - -1 - 1). Solve -2 = 3*q + v, -2*v = q - w*v + 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - d = -5*q - 10, 20 = -5*q + d. Let p = q - -7. What is the second derivative of -2*x**2 + x**p - 2*x**2 - x wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 28. Give q(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.3 to 0 decimal places.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 0.1 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061 less than -0.27?\nAnswer: -0.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 19 + -14 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/((4\/(-2))\/(-2)). What is the highest common factor of w and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w - 56*w - 9*w + 4*w + 136 + 25*w**2 - 29*w**2.\nAnswer: -4*(w - 2)*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 98361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 1 (c) -1634 (d) 2\/11 (e) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 7, -38, 72, 5 in descending order.\nAnswer: 72, 7, 5, -5\/3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36620658.\nAnswer: 2, 3, 2034481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 11) to base 2\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.085 times -1.1\nAnswer: 0.0935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/38 and 11\/9.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 647 or -1?\nAnswer: 647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 450*j + 1. Let r(n) = 32*n + 53. What is d(r(t))?\nAnswer: 1024*t**2 + 17792*t + 26660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, f: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1. Let d(o) = 7*o + 3. Let w(a) = -d(a) - 4*k(a). Let v be w(-3). Solve h + 2*q - 14 = -q, v = 2*h + 4*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 170. Is m > -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17841494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i - 212. Determine q(15).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3228 - -3230. What is the smallest common multiple of 79 and s?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28460 (b) 16 (c) -2\/9 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 + 658*x**2 - 12528*x + 51912 = 0. What is x?\nAnswer: 6, 14, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 12:10 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 135614?\nAnswer: 2\/67807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -73267 and -14834850?\nAnswer: 14761583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86 - 1?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 20. Suppose -19 = 25*g - 94. What is the third derivative of -202 - r*z**2 + 202 + 0*z**3 - g*z**3 wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2\/9 + 11067320*t\/9 - 15310696497800\/9 = 0.\nAnswer: 2766830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -625.8 + 626. What is the second smallest value in -2\/11, w, 13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 22 = 4*w - 2*i, -5*w - 2*i = -5. Suppose -w*r - 1 = -16. Solve -r*n + 1 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23558, -23560, -23562, -23564, -23566, -23568?\n\"Answer: -2*w - 23556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 7*m + 8. Let s be x(-1). Let r be (s - 0)*(-146)\/3. Round r to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*d - 178*d - 206*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + x**2 - 1. Let p(n) = 3*n**3 + 14*n**2 + 11*n - 4. Let m(g) = -2*h(g) + p(g). What is the units digit of m(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21927613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4\/42*(-4)\/20*35?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**7\/210 + p**6\/4 + 193*p**5\/60 - 20*p**4 + 128*p**3\/3 - p**2 + 1. Factor r(n).\nAnswer: (n - 1)**2*(n + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 23 + 17. Let h = 5 + -5. Which is the second smallest value? (a) s (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 11*s + 13. Let d be b(-9). Let z(a) = -a**2 - 6*a + 2. Let n be z(d). What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4629 is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12)\/((-43)\/(-258)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7041, -14087, -21145, -28221, -35321, -42451, -49617?\n\"Answer: -g**3 - 7039*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -72, -90, -126, -186, -276, -402?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19.779 and -2?\nAnswer: 21.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.488655l in millilitres?\nAnswer: 4488.655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -47. What is the third derivative of -11*t**5 + 11*t**5 - a*t**2 - 14*t**6 - 4*t**2 wrt t?\nAnswer: -1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3194570 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-105)*357\/(-1275).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -44, -91, -172, -299?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 80773.89.\nAnswer: 80769.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, b: 1, m: 1, i: 1, v: 5, h: 5}. Give prob of sequence hmi.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 10 - 4. Let f be 64\/x*(-5 - -8). Let t = f - -34. Sort t, -5, 5 in ascending order.\nAnswer: -5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. What is the second biggest value in 2\/5, 0.1, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 22. Which is smaller: s or 0.8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -8 (b) -10 (c) 17\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 - 12*g**4 + 3*g**3 + 34*g**2 - 24*g.\nAnswer: -g*(g - 1)**2*(g + 2)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4027903491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-2 + 2 - 3)*(-169*g**4 + 30*g**4 + 36*g**4)*(g + 0*g - 3*g).\nAnswer: -618*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 16. Let h be r(13). Let w be (2\/(-15)*h)\/((-8)\/80). Suppose 27 = 5*m - x, 0 = -m + w*x + 12 + 1. Sort m, -5, 2, 3.\nAnswer: -5, 2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438 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: 0.002+-0.481\nAnswer: -0.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:27 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.077? (a) 0 (b) -0.1 (c) -0.058 (d) 0.3 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.223 + 5.22301067. What is w rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/3 - 98\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 4*w**2 + 14 - 10*w**4 - 20 + 5 in the form n*w**2 + u + r*w**4 + f*w + a*w**3 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 78*a. Let k(x) be the second derivative of x**3\/3 + 11*x. What is d(k(y))?\nAnswer: 156*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-12))\/((-2)\/(-27)). Suppose -4*a = -a - 2*t + y, 3*a + 9 = 3*t. Suppose -4*v - 4*c = -c - 1, 19 = -2*v + 5*c. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 179273*l. Let d(f) = 3*f + 45. Determine d(u(o)).\nAnswer: 537819*o + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (5 - ((-4 - 2) + 12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.16 - 13.16. What is the fourth smallest value in -1\/4, -11, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70017, -280177, -630443, -1120815, -1751293?\nAnswer: -2521877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4578*10*(-406)\/870?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.1? (a) 2\/5 (b) 641\/60 (c) 5 (d) -2\/5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 1\/2*l**2 + 0*l - 104 - 1\/3*l**3 - 1\/4*l**4. Determine x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 9*g + 6. Suppose 0*s + 6*s - 126 = 0. Let o(d) = 3*d - 66. Let h be o(s). Let c(l) = -l**2 - 5*l - 3. Calculate h*a(r) - 5*c(r).\nAnswer: 2*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5361 is divided by 5354.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 404*h**2 - 2948*h + 23. Give j(7).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**3 + 3. Suppose 3*n = -x - 14, n + n = 5*x + 19. Let w(l) = 8*l**3 + 2. Let g(i) = x*v(i) + 4*w(i). Differentiate g(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.406003 months in decades?\nAnswer: 0.120050025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13033 and -0.8304.\nAnswer: -0.70007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - s = 2*s - 9, 5*n + 21 = 3*s. Let h(m) = -m**3 - 5*m**2 + 6*m + 6. Let k be h(n). Determine j, given that k*j - 6*j + 0*j**2 - j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115.458 - -116. Let l = 0.038 + v. Round l to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (270\/40 - 7) + 117\/4. Solve 2*a = -r - 3, 9*r - a - h = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a - 12*a + 4*a + 14*a.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/60 and 2 - ((-2129022)\/(-17780))\/61.\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -240031021, -480062039, -720093055, -960124069, -1200155081, -1440186091?\n\"Answer: r**2 - 240031021*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 + 1924*g - 270960\/7.\nAnswer: 4*(g - 20)*(g + 3387)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0) + (-4)\/(-20)*-709. Let i = a - -144. Which is smaller: i or -0.03?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 14*u**2 + 32*u + 13. Let g be l(-11). Calculate the highest common factor of 104 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.23278 minutes in nanoseconds?\nAnswer: 2653966800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 218?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44639 divided by -39\nAnswer: 44639\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -1*2*sqrt(152) - 2*-3*sqrt(152))\/(sqrt(288) + sqrt(288) + 1*sqrt(288) + sqrt(288) - (sqrt(8) - (sqrt(72)*-3 + sqrt(72))\/sqrt(9))).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -52. Is 2319\/q + (-3 - (-60)\/16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o + f, -4*f = o - 29 + 33. Suppose -4*j + 3*x = -0*j - 609, o = 2*j - 4*x - 302. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z**2 + 6*z - 3. Suppose 2*k - 4*n - 14 = 0, 0*k - 4*n = 4*k - 40. Calculate the lowest common multiple of k and q(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/78 + ((-1480)\/132 - -4) + 5.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -388.7 + 389. Which is the nearest to -1? (a) -2 (b) 1.1 (c) y (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/3 - 20326984*l\/3 - 51648284817032\/3 = 0?\nAnswer: -5081746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2632*o**5*v + 2*o**5 + 96*o*v + 79*o wrt o.\nAnswer: 52640*o**3*v + 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 - 15*x - 32. Let g be t(-4). Suppose 12*q - 76 = g. What is the remainder when 45 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*b**2*h*x**2 + 22*b**2*h + 6*b**2 - 2*h*x**2 + h*x - x**2 wrt x.\nAnswer: -22*b**2*h*x - 4*h*x + h - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 266?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 4.96. Which is the closest to -0.1? (a) 4 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69 + 69 + d + (-9 - 4 + 2)*(-2*d + 0*d + 0*d).\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1234\/1851*1\/(1*22).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 356016697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.3 - 12.2. Sort 5, p, 50 in descending order.\nAnswer: 50, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -5)\/(18\/24). Let o(c) = -348*c**3 - c**2 + 2*c + 3. Let n be o(-1). Suppose n = -4*p + d*p. What is the highest common factor of 58 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16290701033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046433 rounded to 7 dps?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612) - 5*2*sqrt(17)) + ((-2*sqrt(2057) + -2 - sqrt(2057))*-1)**2.\nAnswer: 128*sqrt(17) + 18517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(25\/3)*(-20)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 78?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*b - 1046 = 3406 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahf when three letters picked without replacement from {m: 1, f: 1, y: 1, h: 1, u: 2, a: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -598*y - 5409. What is o(-9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 39*z = -4*q - 12, 0 = -z + 5*q - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 8*a**2 - 7. Is k(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -2 + (0 - -1). Let v = -370 + 390. Solve z = -4*x - 4, 2*x - n*x + v = -5*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1004302?\nAnswer: 4017208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0\/1)*1. Let x = 0.23 + -0.566. Let q = -0.064 + x. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -390*s + 3. Let q(f) = -585*f + 5. Calculate 8*g(r) - 5*q(r).\nAnswer: -195*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000150099 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6664493\/81 - 82277. Let f = 24860\/9 + -2756. What is the common denominator of c and f?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -52. Let z(w) = -w**2 - 6*w - 3. Let c be z(-5). Suppose 28 = 2*y - 4*a, y + 21 = c*y + 5*a. Calculate the remainder when m is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44850 by -23.\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 11*j**2 - 10*j + 147. What is the remainder when p(12) is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72825 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 6*a - 2. Let y be t(3). Solve -1 = -2*i + y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691151319 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k**2 - 94310*k + 53880 = 0. What is k?\nAnswer: 4\/7, 2694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.548746 milligrams?\nAnswer: 4548746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -1, 45, 4, 61 in increasing order.\nAnswer: -39, -1, 4, 45, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -58.5. Let b = 67.5 + j. What is the closest to -2\/9 in b, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32400 + -3302011?\nAnswer: -3214111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 45*l**2 - 11*l**2 - 12 - 31*l**2 + l to the form v*l**2 + c + q*l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r - 3 + 2 + 138*r.\nAnswer: 159*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 699?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220021021 (base 3) in base 7?\nAnswer: -551056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*g**2 + 28*g**2 + g**2 + (2*g + 1 - 1)*(g + 2 - 2).\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 10*m - 12*m - 3*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 888795772 to the power of 1\/4, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, h: 2, s: 2, n: 1, j: 2, o: 1}. Give prob of picking 1 s and 2 m.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-129)\/27 + 8\/(-36) + 2. Put -5, -1, k in decreasing order.\nAnswer: -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1 - 4 + 0 - 5*w + 1 - w**2. Let u be y(-4). Solve 0 = 5*x - 15 - u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*s - 5 = -0, -4*s + 1 = 380*y - 381*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125998272 divided by -158688.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10 = -2*w. Let c = w + 12. Solve c*p = p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*d + 3, 0*c + 2*c + d - 7 = 0. Let w = 0 - -4. Differentiate -5*i**w + i**c - 1 - i**2 + 3 wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-844)\/760 + (-954)\/(-1060).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/60 + c**5\/30 + c**4\/6 + 97*c**2 - 1. Factor f(i).\nAnswer: -2*i*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 + 136*w**3 + 315*w**2 - 5454*w + 9936 = 0. Calculate w.\nAnswer: -8, 3, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55990967?\nAnswer: 19, 29, 307, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -17*p**2 + 13*p + 5. Let m(c) = -40*c**2 - 9*c + 19. Let a(z) = -114*z**2 - 25*z + 54. Let u(f) = -6*a(f) + 17*m(f). Give -2*l(n) - 9*u(n).\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.93 - 0.07. Let s = 3.6 + r. Let b = 0.2 + s. Sort -1\/3, 1\/5, b in descending order.\nAnswer: 1\/5, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15)*-15)\/((-18)\/(-15))*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 463*a**2*i**3*w - 18*a**2*i*w - 5*a*i**2 wrt i?\nAnswer: 2778*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 5. Let l(s) = s - 21. Let c be l(16). Determine t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -3, 11.4, -0.2, -1 in descending order.\nAnswer: 11.4, 7, 1, -0.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-9)\/6 - 161\/(-14) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -5. Let k = -6 - -41. Calculate the remainder when k is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 141 = 5. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b**2 + 1. Let z be t(1). Let u(w) = 22*w + 21 - z - 10. What is the units digit of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -20.9. Let r = -0.1 - 0.2. Which is the closest to 1? (a) 2\/3 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3 - 1534*u**2 + 1532*u**2 - 2*u + 3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:08 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {m: 2, f: 2, j: 1, h: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f - 21. Suppose 3 = -2*s + 2*k + 1, -5*s + k = -f. Let l = 393 + -390. Solve -l*h - 23 = 5*v - 2*h, s*h = 4*v + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 56322582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 153 = 3*r. Suppose -21 + r = 3*i. What is the greatest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204577?\nAnswer: 149, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 135.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91\/281 - 9743\/29786. What is the common denominator of -7\/6 and c?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 1.28. Let w = d - -0.58. What is the closest to w in -3, 0.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -47*i**2 + 3169*i - 1068. Calculate u(67).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8905332, -8905328, -8905324, -8905320, -8905316?\nAnswer: -8905312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 + 51.4. Let p = 0.459 + -64.059. Let k = j + p. What is k rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 25*y**2 - 27*y - 20. Let c be o(-26). Let w(k) = 13*k + 8 - 8*k - 4*k. Let a(g) = -1. What is c*a(s) + w(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 700*f**2 - 13601*f - 733. What is s(-680)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-16)*1)\/((-117)\/(-1170)))\/(1\/8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 284218543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 2294750414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37675\/1375 + (-1)\/((-28)\/6 + 34 + -31)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(121)\/(sqrt(11)*1))*4 + -4 + (2*sqrt(88) - sqrt(88))\/sqrt(8) + -5 + 2*sqrt(11))*2.\nAnswer: -34 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -230*x. Let k(g) = 117352*g**2. What is k(i(y))?\nAnswer: 6207920800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36355 is divided by 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/(-15) - -1)*(-141)\/126 and 85\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*p + 18 = 0, -l - 3*p + 12 = 2*p. Let i = l + -3. Suppose 15 - 21 = -3*j. Solve m = i*k + 1 - j, k + 6 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 1, k: 1, f: 1}. Give prob of picking 1 v and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from xxqxqqxrqqxxqxrxqx?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5af7 (base 16) to base 3.\nAnswer: -1011221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3335 - 740. Let p be (2\/(-10))\/((-3)\/q). Suppose -5*u + 102 + p = 5*o, 5*u = -4*o + 217. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231991479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1560 and 31512.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h)**(-4\/13)\/((h*(h*h**(-6))\/h*h)\/h**(-3\/2)) assuming h is positive.\nAnswer: h**(69\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z. Let q be o(6). Let l be (q + -2)\/2 + 4. Suppose -l*m - 3 = 2*b - 14, -31 = 3*b - 5*m. Round b to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52025311 (base 6) to base 5.\nAnswer: -340344104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -111b - -75?\nAnswer: -10a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 2*u - 26 = 2*c - 3*u, 15*c = 12*c + 5*u + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 2*w**3 + 3*w - 6*w**3 - 3 - w**3 + 2*w**3.\nAnswer: -3*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 92859 = -36*i. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(10\/(-6)) - -7. Suppose 10*w - 5*w - 51 = -c*g, -2*w + 4*g + 26 = 0. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/12)\/(63\/(-84) - (-90)\/80)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*u + 14*u. Let j(g) = 16*g**2 - 8*g + 15 - 53*g**2 + 16*g**2 + 22*g**2. Determine j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3222 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3727 in -2\/13, 3\/4, -4, 6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -751 - -404. Let a = 347.361 + w. Round a to two decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*r - 30. Let q(f) = -5*f - 5. Is 8 a factor of q(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -24. Let l(y) = y**3 - 26*y**2 - 2*y + 85. What is the remainder when l(26) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -208*d + 227*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*b = -30, 0 = -3*x + 2*b + 19 + 5. Is 7 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2628.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epallkeps. What is prob of sequence se?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54.9 - 5.1. Let k = 65 + m. Put k, -2, -4\/3, -1\/2 in ascending order.\nAnswer: -2, -4\/3, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 1402, 2133, 2864?\nAnswer: 3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36156 take away 1.75735?\nAnswer: -36157.75735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - -43?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4 - 3904*l**3\/5 + 568886*l**2 + 1138396*l\/5 = 0.\nAnswer: -763, -2\/5, 0, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 508 + 6*w**2 - 954 + 523 - w**2 in the form d*w + f*w**2 + g and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 683129257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285404.18629 - -6.\nAnswer: -285398.18629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (328\/369)\/((-568)\/(-18)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*p - 302, 2*d - 31 = -37. Let t be (-6)\/4 - p\/112. Let v = 0.07 - -0.23. Put v, t, 5 in ascending order.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*t**5 - 19*t**3 + 538*t**2 + 5386374*t?\nAnswer: -900*t**3 - 114*t + 1076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -7. Calculate the remainder when 7667\/85 - (-16)\/20 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 14. Let l = -9120 - -63842\/7. Let n be -2*(2 - (-21)\/(-6)). What is the closest to l in 0.2, n, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j**2 - 2*j**3 + 2*j**3 + j**3)*(2 - 4 + 0)*(-2*j + 3*j + j).\nAnswer: -4*j**4 + 64*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 + -10) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968086313?\nAnswer: 101, 751, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*s + 77*s - 402*s + 337*s.\nAnswer: 268*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40\/57, 1\/11, -1, 1, 0.3.\nAnswer: -1, -40\/57, 1\/11, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*h + 5*j, h - 2*j = 6*h - 19. Suppose -o = h*z - 54, -z - 2*o + 7*o + 34 = 0. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/14 (b) 0 (c) -1\/103 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74\/((-130980)\/59))\/(3\/(-60)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -23. Let c be q\/(-3) - (-3 - (-31)\/(-3)). Let u(f) = -2 + 3*f**2 - c + 9*f - f**2 - f**2. What is u(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 70. Let o = g + 28.5. What is the nearest to 1\/2 in -0.4, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/63)\/(40\/3600).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 5\/92 (c) 31 (d) -1\/2 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/11*((-833)\/(-245) - 73\/(-5)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let m(l) be the first derivative of -l**5\/30 + 7*l**3 - 22. Let z(s) be the third derivative of m(s). Determine n(z(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/7 + 640*m**2\/7 + 9652*m\/7 - 10296\/7.\nAnswer: 4*(m - 1)*(m + 18)*(m + 143)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-7)\/378*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z + 28*z - 9 - z**3 + 486*z.\nAnswer: -z**3 + 465*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11810?\nAnswer: 2, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/227192 and -55\/784.\nAnswer: 3180688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/9)*b*b**(-8))\/((b\/((b**(-12\/7)*b)\/b)*b)\/b*b\/(b\/(b\/b**(-2\/67))*b)) assuming b is positive.\nAnswer: b**(-37378\/4221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2*(-1)\/(-2)). Suppose k + 1 - 4 = h. Is k != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6))\/d**(-1\/2))**(-9) assuming d is positive.\nAnswer: d**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**2 - 26*y - 5. Let a be d(14). Suppose -7*r + a - 128 = 0. Let j = r - -102. Is 33 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 2*i - 11*z - 911, 2*i + 5*z - 935 = 0. Calculate the remainder when i is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:55 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 - 6*h + 5. Let c(m) be the second derivative of m**3\/6 - m**2\/2 - 3*m. Let b(k) = 6*c(k) + d(k). What is the derivative of b(r) wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1415, -3938, -6463, -8990, -11519, -14050?\n\"Answer: -d**2 - 2520*d + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 28 + 2. Suppose -4*m + 93 = -5*p - 11, 5*m - 97 = -h*p. What is the remainder when 355 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0126 to two decimal places.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694 - -719 - (0 - -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h*h**(1\/11))\/h))**(1\/4) assuming h is positive.\nAnswer: h**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -275, -607, -1069, -1661, -2383?\n\"Answer: -65*t**2 - 7*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 22*j**2 + 2*j - 319. Let l(x) = -x**2. What is d(l(o))?\nAnswer: 22*o**4 - 2*o**2 - 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzznznzzzznzzzznzn.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -14 + 87*h**2 - 86*h**2 - 5*h - 2 + 4*h. What are the prime factors of y(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.33 - -0.014. What is a rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 12. What are the prime factors of (v\/9)\/((-6)\/99)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -66*f + 329 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:08 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4438 is divided by 4427?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*-0.255186.\nAnswer: -11.228184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1 - 5. Let j = 0.4 - 2.4. Let c = 1 - 5. What is the nearest to j in -1\/2, c, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23154 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2008093637 to the nearest integer?\nAnswer: 44812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417\/5102 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * 0.07.\nAnswer: 4.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-20)\/(-2800))\/(1\/5)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -31*d**2\/2 - 10*d + 44. Find the first derivative of o(k) wrt k.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 35*a**2 - a + 1. Let q be k(1). Let t be 10\/q - (-9)\/(-7). Let d be ((-14)\/9 - t) + 1. Which is smaller: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 12:27 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244 - -244. Solve -2*y + 2*z - 2 = -s*y, -2*y + z - 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/24 - 5*j**3\/6 - 18*j**2. Let x be c(-11). Let h(p) = -3*p + 1. Give h(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -11565601?\nAnswer: -11565604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 280. What is the greatest common divisor of 200 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 4*w - 6, -4*w + 22 - 4 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 - 6*h**4 - 22*h**4 + 0*h**2 + 2*h**5 - 24*h**2 - 50*h**3 = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17547 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x + 238 + 3*x - 238. Let q(r) = 3*r**2 + 981*r - 981*r. What is y(q(z))?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k + 13*k - 9*k)*(-3 + 0 + 2)*(936 - 1889 + 666) to the form l + a*k and give a.\nAnswer: -1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 - 2*h**3\/3 + 6*h**2 - 32*h + 1. Let g = 16 + -8. Is 22 a factor of t(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/28846 and 56\/3.\nAnswer: 86538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12766\/15 + 2552\/3. What is the second smallest value in 1\/87, -1\/3, -0.8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:38 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -1, -2, 1.\nAnswer: -8, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*o = -19, -4 = -3*s + 2*o + 3*o. Suppose s*z - 18 = 12. Let u be 2 + -1 + (12 - z). Solve -5*r + 18 = u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-4)*w))\/(w\/w**(-6)*w)*(w*w*w\/(((w*w*w**(-1))\/w)\/w))**(-30\/13))**(-30) assuming w is positive.\nAnswer: w**(8670\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(3\/30))\/(4\/15) and -7\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 + 21*s**2 + 2*s + 10. Let k be w(-7). Let h = 95 + k. What is the units digit of (-10 + 0)*h\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/(-6)*7\/((-14)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8*o = 0. Suppose 9*n - 13*n = o. Suppose 5*x + n*x - 2*w = 510, 0 = 2*x - w - 205. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8570871.5 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y + 1. Let i be a(-1). Solve 0 = -i*d - 5*w - 1 - 4, 4*w - 12 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 + 8*s**2 - 5*s**2 + (3*s**2 - 2*s**2 + 0*s**2 + 0*s**2 - s**2 + 0*s**2 + (-s + 5*s - 2*s)*(s + 3 - 3))*(-1 + 1 + 2)*(-4 + 4 - 2).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*r - 63*r + 25*r**3)*(3*r - 3*r - r) - 16*r**4 - 17*r**2 + 17*r**2 + (-3*r**4 + 3*r**4 - 2*r**4)*(-2 + 3 - 2).\nAnswer: -39*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = o + v - 9, 4*o - 19 = -3*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 752322125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -4*x + 0 + 0*x**5 + 0*x**3 + 5\/12*x**4 + 0*x**2 - 1\/5*x**6. What is the third derivative of n(w) wrt w?\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*u + 453*u + 796 + 9899 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + h. Let y be ((-9)\/7 - -1) + 75\/(-105). Let v(s) = 8*s**2 + 4*s - 1. Determine y*v(p) + 4*j(p).\nAnswer: -4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2931 - 2983 + 9348 - 3434 - 5*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**4 - 2*p**3 - 2*p - 1. Let c(x) = -12*x**4 + 3*x**3 + 3*x + 1. Let b(i) = -2*c(i) - 3*d(i). What is the derivative of b(l) wrt l?\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 14. Let d(j) = 5. Calculate 7*d(o) + 2*l(o).\nAnswer: 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 y when three letters picked without replacement from syyyyyyisyssis.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4. Let k be (2\/4)\/((-165)\/(-30)). Which is the biggest value? (a) q (b) k (c) -0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -3, -0.5, -0.0245, -211\/4, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, w: 13}. Give prob of picking 3 m.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-5)\/(-40))\/((-15)\/60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1959*l + 137*l - 1 + 353*l - 4.\nAnswer: -1469*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 1. Let l be -3 - (4 - 3) - 0. What is y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 - 692274*r - 39936940923 = 0. What is r?\nAnswer: -115379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let d(y) = -3*y**2 + 6*y - 3. Suppose -4*k + 184 - 1692 = 0. Let a = -376 - k. What is a*d(o) + 6*l(o)?\nAnswer: -3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2428849291 divided by -1\nAnswer: 2428849291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17*-3.2\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 661941520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*v + 12 = 0, 21 = 4*b + 5*v - 16. Suppose 1298 - 786 = b*c. Calculate the highest common divisor of 832 and c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 6*x. Let c(v) = -14*v**2 - 17*v. Let m be (-15)\/75 - 84\/5. Let l(k) = m*b(k) - 6*c(k). Let u(j) = 12*j + 2. Give l(u(h)).\nAnswer: -144*h**2 - 48*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 38*f - 6*f - 3*f - 14*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29762\/25 greater than 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 9*b - 1. Let n(u) = 759*u**2 + 45*u - 964. Let w(h) = -3*n(h) + 15*p(h). What is the first derivative of w(j) wrt j?\nAnswer: -4584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1204*a**3 + 2*a**2 + 7216*a.\nAnswer: -7224*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 34*v**7\/21 - v**4\/12 - 13*v**3\/6 + 7*v**2 + 256*v. What is the second derivative of m(s) wrt s?\nAnswer: 1360*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*t - 17 = 0, -t + 30 = 4*x + t. Let w(v) = 4*v**3 - 27*v**2 + 8*v + 11. What is the units digit of w(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3238 from -12377067248.\nAnswer: -12377064010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(113050\/285)\/70?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 4*c + 7*c - 3990 = 0. What is the highest common factor of 1110 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000011 (base 2) in base 5?\nAnswer: 31201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 14. Let g = 5 + p. Which is greater: -8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (16 - 26) - -39) + -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -4, -23, -0.08, 3, 2 in increasing order.\nAnswer: -23, -4, -5\/3, -0.08, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-36)*(120\/25)\/(-6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12013 - -20?\nAnswer: -11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:28 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12906, 13191, 13470, 13743?\n\"Answer: -3*s**2 + 294*s + 12615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -277, -821, -1635?\nAnswer: -2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Let c = b - -2. Suppose -2*v + c*v = 70. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 551 (b) -22 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*r - c, 5*c + 6 = 8*c. Does 23 divide (3 + -2 + r)\/2*127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-6 + (-3 - -6)). Let v = d + 3. Let z be (v - 0\/(-1)) + 3. Solve -5*s + z*s = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 19*c + 109*c)*(-2*c - 3*c + 4*c).\nAnswer: -87*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2 + sqrt(1008)*2)**2 + (-1*(sqrt(448) - sqrt(28)) + sqrt(28))\/sqrt(4) + 3.\nAnswer: -2*sqrt(7) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -52\/15, -16, 1\/5 in descending order.\nAnswer: 1\/5, -52\/15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -581 (b) 2\/15 (c) -0.3 (d) 0.2 (e) -2\/17 (f) -98\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 492337155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1433675 (base 9) to base 15.\nAnswer: -10915b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6054794 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0172 times 0.2\nAnswer: -0.00344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33352 (base 7) in base 14?\nAnswer: -30d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2 times 407208?\nAnswer: 3746313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)\/((-2)\/4). What are the prime factors of (4 - 2)*(-26)\/p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/15 + 148*d**3\/15 - 704*d**2\/15 + 324*d\/5 - 138\/5 = 0.\nAnswer: 1, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82787101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 8) in base 15?\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3058782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -11 - (170 + -117) - (-125 + 0).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 3. Let d be j(1). Let p = 5 - 14. Let r be 14\/(-3) + (-6)\/p. Put -2, d, r in descending order.\nAnswer: d, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**2 + 9473*w + 113857. Calculate j(-849).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -169037*s. Let c(n) = -173*n. Determine w(c(a)).\nAnswer: 29243401*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -0.3, 0, -3\/7?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0623 and 2640428.\nAnswer: 2640428.0623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/8)\/((a**(2\/7)\/a)\/a)*a**13\/a**(-2\/43))**17 assuming a is positive.\nAnswer: a**(588897\/2408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1045*r**5 + 2719580*r**4 - 14838075*r**3 - 9819400*r**2 + 7116020*r - 623280 = 0. What is r?\nAnswer: -1, 2\/19, 4\/11, 6, 2597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-3))\/((-1)\/(-7)). Let u(c) = -6*c**4 - c**2 - 7*c. Let a(p) = 5*p**4 + p**2 + 6*p. Let s(q) = r*a(q) + 6*u(q). Factor s(w).\nAnswer: -w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4872906861 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542 - 283 + 970 + 971 + 29*k**2.\nAnswer: 29*k**2 + 2200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**39)**24 assuming c is positive.\nAnswer: c**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Is (20\/6)\/(m\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -0.124.\nAnswer: -2.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 637662 * 1.\nAnswer: 637662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + -27 + 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 751 + -757. Let z(k) = 3*k - 2. Let m(a) = -3*a + 2. What is p*z(q) - 5*m(q)?\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 o, and 1 u when four letters picked without replacement from uoosuuruuuscrrsorsco.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67 - 3?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 74*f**2 - 473*f - 251. Let g(a) = -a**3 + 6*a**2 + 5*a + 2. What is the remainder when g(6) is divided by k(-67)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 14 in descending order.\nAnswer: 14, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3708, -18656, -43582, -78486, -123368, -178228?\nAnswer: -243066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-10)\/(((t*t**(-1\/6)*t*t)\/t)\/t*t))**(-40))**(-36))**(-8) assuming t is positive.\nAnswer: t**136320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -879*a**3 + 8 + 6*a**2 + 6*a**2 - 3*a - 2*a**2. Let p be i(9). What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -643.77 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*q = 186*q - 11951 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19462716 from 2116.\nAnswer: 19464832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -c - 22, -3*l + 53 = 4*c + 76. Sort c, -14, 2, 4.\nAnswer: -14, c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45438917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -153*l + 9. What is the hundreds digit of s(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-84) - (-10)\/(-42). Put -1\/3, y, -2\/37 in descending order.\nAnswer: -2\/37, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 40 = -3*g, 3*g + 5*i - 44 - 2 = 0. Suppose 0 = -43*k + g*k. Solve k*s = 5*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4843, 9881, 14939, 20017, 25115?\n\"Answer: 10*r**2 + 5008*r - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3 + 1550*i**2 - 1923?\nAnswer: -3*i**2 + 3100*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 + -83. Let h = -39 + n. Sort 6, h, 5, -1 in increasing order.\nAnswer: h, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 5*h - 22*h + 6*h + 169*h**2 + 0*h - 1 in the form q*h + n*h**2 + a and give n.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 153486 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 greater than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*a - 22, -3*o - 5*a + 30 = 2*o. Let b(z) = -4*z + 1 + o*z + 5*z - z**2. What is b(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2636 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3569924.5 to the nearest 10000.\nAnswer: -3570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 13*p**6\/120 + p**5\/30 - 115*p**4\/8 - 4*p**2 - 14*p. What is the second derivative of k(l) wrt l?\nAnswer: 78*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**7\/2520 - d**6\/360 + d**4\/6 + d. Let g(o) be the third derivative of a(o). Solve g(k) = 0 for k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -1\/13, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 + 484*h**3\/7 - 28794*h**2\/7 - 59048*h\/7 - 29768\/7.\nAnswer: -2*(h - 122)**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-42) - 3792\/(-3360).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 6*x**4 + 4*x)*(2 - 1 + 0).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa + -89668?\nAnswer: -89745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1344\/37 or -36?\nAnswer: -1344\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(931)*2 + 2 - (4 + sqrt(931)*-2)))**2 + 3 + 2.\nAnswer: -336*sqrt(19) + 44705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 17 - 50)*(0 + 0 + 2*d)*(4 - d - 4).\nAnswer: 110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 279253691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -1274238, -2 in decreasing order.\nAnswer: 5, -1, -2, -1274238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcc when three letters picked without replacement from {c: 3, w: 3, z: 1, s: 2, m: 9}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486 and 26946.\nAnswer: 242514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 14. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 17 in increasing order.\nAnswer: -5, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 1\/6, 0.1 in descending order.\nAnswer: 1\/6, 0.1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) 1\/21 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 1. Let i(n) = 10*n + 10. Let f(v) = 6*h(v) - i(v). Let u(x) = x + 1. Determine -f(s) - 5*u(s).\nAnswer: -s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-20))\/((-1)\/(-1)). Which is the closest to -0.1? (a) -3 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*t**2 - 164*t**2 - t - 17 - 137*t**2 + 19 in the form f + r*t**2 + z*t and give r.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -64342000 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19315*t - 570852 = 3458*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 1\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*s**3 - 9033*s**2 + 24036*s - 12012 = 0. What is s?\nAnswer: 2\/3, 2, 1001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*(5\/10 + (-1)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(2\/11)*f*f)\/f)**(-49) assuming f is positive.\nAnswer: f**(-1715\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + -15246?\nAnswer: -15216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/264 - 1*-1*(-1950)\/(-7800)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0 - -2) + -3 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d01 - 2?\nAnswer: 2cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 1 = -15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 384*s - 9216.\nAnswer: -4*(s - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -371 + w**3 - 9*w + 194*w**4 + 369 + 108*w**4 + 0*w**3 to the form u*w + y*w**4 + q*w**2 + j*w**3 + s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566*n - 2340*n = -452*n + 9344 - 2436 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 759 divide 600369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*h - 2, 6*q - q - 1 = 3*h. Suppose g = 3*a + 9, -q*a = -8*g + 7*g + 7. Solve -5*u - d - 17 = 4, -3*u + g*d - 27 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d. Let l be z(2). Suppose 0 = -q + x - l, -q - 2*q + 5*x = 4. What is the second biggest value in 4, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -12, 2.\nAnswer: -12, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828799.2 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-4)\/(-18)*-3. Let n be (-1)\/o - (-33)\/12. Suppose n*j - 7 = 17. Calculate the highest common factor of j and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 15 = 10*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.369 less than 6?\nAnswer: 351.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -459, -1248, -2697, -5136, -8895, -14304, -21693?\n\"Answer: -55*l**3 - 404*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*q**3 - 293*q**3 + 232*q**3 - 330*q**3.\nAnswer: -500*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 14 = 4*b. Suppose -36 = b*g - 502. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81400 and 11552200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -w - 11, 3*f + 13 = 3*w + 2*w. Suppose 0 = -4*v, -k + 5*v = -w*k + 24. Calculate the highest common divisor of 24 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877443 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 107. What is the remainder when 10 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -37. Suppose 0*y + 2*i = o*y - 324, 2*i = -4. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -474217 - -9?\nAnswer: -47420a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 317*f - 405. List the prime factors of n(6).\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21402 + -35?\nAnswer: 21323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -1. Let v = 124.9 + -119.9. Sort w, -3\/10, v in decreasing order.\nAnswer: v, w, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984260860, -1968521721, -2952782582?\nAnswer: -3937043443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6776 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - m + 4*m = -66, -4*q + 92 = 4*m. Suppose 43 = 5*b - q. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11083311 is divided by 16592?\nAnswer: 16447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + 5*l**3 - 2*l**3 - 3*l**2 - 3*l + 3*l**3 + 2. Let d(p) = -p**3 + p**2 + p - 1. Give b(u) + 2*d(u).\nAnswer: u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 895?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 769206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 712.86397 + -0.06397. Round q to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-30964792.\nAnswer: 154823960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 333 - 1397 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n + 12 = 0. Let u = -146 + 140.47. Let y = 5.53 + u. What is the fourth smallest value in 4, n, y, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1165050 and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1692342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 392*f**2 - 2228*f + 1840.\nAnswer: -4*(f - 92)*(f - 5)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/((-84)\/(-24))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -743930 divided by -6763\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 19, p: 1}. Give prob of sequence pgg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = -16515 + 16452 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60070392 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**3 - 18*w. Let c(u) = -2*u. Give m(c(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*i - 3*d, -38*i + 3*d + 4 = -40*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 243 and 3.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13698*r**3 - 27371*r**3 + 13671*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1328 - 1329. Put f, 2, 15 in decreasing order.\nAnswer: 15, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181 + -177. Let h be -71 - (-3 + (-1 - -3)). Let b = h - -74. Solve -b*v + 2 = 3*f, -f = 2*v - 4*v - r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 6*m**2 - 8*m - 5. Let f be c(-4). Let x(s) = 2*s. Give x(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21061\/27 + -780. Let c(w) be the second derivative of 0 - 1\/54*w**4 - 5*w + 2\/9*w**2 + h*w**3. Suppose c(a) = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:37 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 217, -3, -5, 4049, 1 in descending order.\nAnswer: 4049, 217, 3, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -22475157284.\nAnswer: -22475157289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098 - (-6 + -18)\/(-6).\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43752, -87482, -131212, -174942, -218672, -262402?\n\"Answer: -43730*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -227*d - 2569. Does 5 divide b(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80662201.\nAnswer: 19, 223441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-2 + 2 - 6*a) + (-1 + 0 - 1)*(0*a - 2*a + 0*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 538 = 3*h, -m + 98 = -0*m + 3*h. What is the greatest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -963566 rounded to the nearest 1000?\nAnswer: -964000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 6*f + 5. Let p = 14 + -7. Let d be q(p). Is 33\/(-6)*d\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/40*(8 + (-19)\/(76\/42))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268492 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 260885 divided by -5\nAnswer: -52177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*h + 17*h = 2*h + 3465 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1 - 0))\/(9\/(-459)). Let t = 72 + d. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*x = -987, -4*f + 0*x - 3*x = -1288. Suppose 0 = -16*z + 3*z + f. Is (29 - z) + 362\/((-4)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443a330 (base 11) to base 15.\nAnswer: -a3c8a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - -12. Suppose k = y + y. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + ((-7)\/4 - -2). Let a(p) be the first derivative of -1 + 0*p + 2\/3*p**3 + o*p**2. Let t(d) = -3*d**2. Calculate t(a(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(275) + sqrt(11))**2 - (-3*sqrt(132))\/sqrt(12)) + -3.\nAnswer: 3*sqrt(11) + 4848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 2*s + 4*s - 3*s to o + w*s and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 44\/177, -3.\nAnswer: -3, -1, 44\/177, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 7. Let d be f(3). Suppose s - 8*r + 65 = -d*r, -s + 5*r = 65. Let l = -35 - s. What is the lowest common multiple of 18 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -3*d**2\/2 - 3*d + 6. Let f(y) = -2*y. Calculate f(o(k)).\nAnswer: 6*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 1036 + 3278. Is c 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 ((-3)\/(-1))\/((-3)\/(-39))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -7) + 4\/(-2). Suppose 4*w + 44 = -z*g, 0 = -w - w - 3*g - 26. What is the units digit of (-1)\/(0 - (-1)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14085, -14077, -14065, -14049, -14029, -14005?\nAnswer: -13977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17415252?\nAnswer: 2, 3, 483757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 40603464?\nAnswer: 40603464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-3 - -6)) + 6 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.4. Let l = -2.4 - r. Which is the third smallest value? (a) 0.4 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q = 70*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - a032?\nAnswer: -a040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -430*d - 548. Give p(-1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5067*i**3 + 5094*i**3 - 10125*i**3.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:58 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, 1\/5, -0.3, -1165, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236259004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 25*b**2 - 28*b**2 + 37*b - 9*b + 0*b**3 + 62*b**2.\nAnswer: 4*b**3 + 9*b**2 + 28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2048 and 270080?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 (base 9) in base 2?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*f**2*s*y**3 + 44*f**2*y**3 + 87*f**2 + 32*f*s*y + f*y**2 + 2*y**4 - 2*y**2 wrt y?\nAnswer: 276*f**2*s + 264*f**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 6. Let l(n) = -1. Let u(j) = -3*l(j) - x(j). Let m(y) = -y + 3. Give 4*m(g) + 3*u(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -372\/29 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/(((-2)\/(-1))\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-157)\/(13031\/(-332))*((-4)\/2)\/((-8)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:23 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: be6 (base 15) to base 3\nAnswer: 10200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -3*o**2 - 12*o - 6. Is 5 a factor of f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 7*n**2 - n + 5. Let y be f(7). Let u be 0 - (0 - (-8)\/y). Suppose -5*l - 60 = -17*l. Solve -l*j = -4*a + 6, a + 12 = -3*a - u*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*o + 45*o - 674*o)*(-o**2 + 0*o + 0*o) to the form r*o**2 + h + w*o**3 + c*o and give w.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -363, -1394, -3411, -6744, -11723, -18678, -27939?\nAnswer: -39836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -30 - 16 - 6*c - 2*c - 7. Let j be f(-7). Suppose 10*k - 5*k - 15 = 0. Solve 2*i + 2 = -r, -5*i - k*r = -j*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.12 - -0.92. Is -6 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*a**2 - 16\/7*a + 0 - 2\/7*a**3.\nAnswer: -2*a*(a + 2)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -10\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -17 - (-2 - -4 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23445\/4 + -5840. Find the common denominator of f and -35\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247930360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16385, 1, -1\/3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67989369 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 1. Let x(u) = 6*u**3 - 6*u**2 - u - 7. Let d(v) = x(v) - 5*z(v). What is d(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15138.588 months to decades.\nAnswer: 126.1549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -660c (base 13) in base 9?\nAnswer: -21436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:18 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - -0.162?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289 or -24\/287?\nAnswer: -24\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/5*l**2 + 0 + 2*l**3 + 2\/5*l**4 + 14\/5*l.\nAnswer: 2*l*(l - 1)**2*(l + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**(5\/8))\/q))\/((q\/(q*q**2)*q)\/q)*(q**(-29)\/q)\/q**(3\/7) assuming q is positive.\nAnswer: q**(-1501\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85968\/810 - 124) + (16 - -2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(7\/175).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*a = 2482 + 118, -4296 = -5*j - a. Is 57 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1400)*-1 + sqrt(1400))\/(sqrt(128)*2))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 1, -3, 4\/5, 2\/851, 2982?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17966 - -17997. Calculate the greatest common factor of 217 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/4 + l**3\/3 - l**2\/2 - 640*l + 7. Let q be i(0). What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*q + 4 + 6 - 9)*(0*q**2 + 2*q**2 - 5*q**2).\nAnswer: -51*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1378 - 11045\/8. Find the common denominator of -41\/146 and g.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j. Let f(m) be the first derivative of -m**2\/2 + 4. Let z(u) = -21*f(u) - g(u). Let q(b) = -9 + 76*b - 8 + 17 - 73*b. Give q(z(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1. Let w(b) be the second derivative of b**3\/6 - 3*b**2 - 94*b - 2. Determine w(x) + 3*y(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-14))\/((-393)\/3668).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0199 + 0.1801. Sort -0.1, -2, n, -8 in increasing order.\nAnswer: -8, -2, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84146, 84216, 84332, 84494, 84702, 84956?\nAnswer: 85256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -71, 1, -2, 0, -3, 6, -12 in ascending order.\nAnswer: -71, -12, -3, -2, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, -0.13, -1, 3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 11. Let n(x) = -x - 12. Give 2*l(d) - 3*n(d).\nAnswer: -d + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 6. What is n(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2800\/(-460) + 36\/6 - (-77)\/92\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 12*v**2 - 8*v + 17. Let r be z(-11). Let w(f) = -f**2 - 17*f - 14. Let d be w(r). Factor -1\/4*o**3 - 1\/4*o**4 + 1\/4*o**d + 1\/4*o + 0.\nAnswer: -o*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 6*k - 322. Give o(-13).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3978314 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 + 366*m**2 + 7965*m - 988. Determine b(-36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 18*q - 72*q + 2 - 216*q to the form t*q + m and give t.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42425.7115*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 - 4*g. Let t be r(4). Let k = 64 - t. Let d = -81 + k. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.177 + -9.\nAnswer: -9.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 14, 70, 190, 398, 718?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5 - 70*h**4 + 896*h**3 - 5184*h**2 + 13824*h - 13824 = 0.\nAnswer: 3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3776 times 0.0466\nAnswer: 175.9616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27*o + 2. Let y be t(0). What is the third derivative of -h**3 - 13*h**4 + y - 245*h**2 + 29*h**2 - 2 wrt h?\nAnswer: -312*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/26517 and -46\/26517.\nAnswer: 26517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6\/19)*(i\/i**(-3))\/i assuming i is positive.\nAnswer: i**(51\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 164 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/7 (b) 0.4 (c) -6\/5 (d) -2\/21 (e) -8 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-26.51\nAnswer: -26.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56774.8 - -56775. Let i be (8\/10)\/((-3)\/(-15)). Which is the second biggest value? (a) 0 (b) i (c) v (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 3*c**2 + 4*c - 3. Let g(k) = -k**3 + 1. Let d = 56 + -55. Let y(j) = d*l(j) - 2*g(j). What is the units digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -205, -219, -231, -241, -249, -255?\n\"Answer: f**2 - 17*f - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4867 = -2*z, -2*a + 0*z + 1950 = -4*z. What are the prime factors of a?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*p**4 + 2*p + 36*p**4 - 71*p**4 + (p**2 + p**2 - 3*p**2)*(-p**2 + 5*p**2 - p**2).\nAnswer: -87*p**4 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40827 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12940.\nAnswer: 2, 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -232 + 36 + 196 + 5889*w in the form m*w + j and give m.\nAnswer: 5889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3 + 3*q**2 + 17*q + 20. Suppose -2*c + 3*z + 49 = 0, 0 = -5*c + 2*z + 287 - 192. Let h(w) = 2*w**3 + w**2 + 6*w + 7. Determine c*h(j) - 6*o(j).\nAnswer: -2*j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13117364 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - 2*h)*(-227 - 258 + 257) to the form n*h + j and give n.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 + 25.1. Is p at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/73, 3\/2, 3?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - -1) - (-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11903363039.291 - -0.05\nAnswer: -11903363039.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4 (c) 2\/17 (d) -7\/2 (e) -85 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1942*g**3*w**2 - 2*g**3 + g**2*w**2 + 2108*w**2 wrt g?\nAnswer: 11652*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 84 = -345. Let z = w - 22. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = t - 4*d, -d + 0 = -3. Let s = t + -923. What is s rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 4. Let j be x(-3). Suppose 490*h = 500*h - 20. Put 5, h, j in increasing order.\nAnswer: j, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (3 - 1) - (11 + 1)) + (0 - 39)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1 + t + 0*t - 2*t - t - t + 3*t - 4*t + (-3 + 5 - 4)*(4*t + 4*t - 5*t))*(-71 + 71 + 29*t) in the form l + o*t + i*t**2 and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - -1*36\/8 and 14\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1 + 1 - -1. Solve -2 = -v*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35062657 divided by -16331\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n**2. Let y(q) = 44*q**2 + 14. Let x(l) = -3 - 2189*l + 2189*l - 9*l**2. Let w(m) = 28*x(m) + 6*y(m). Give w(d(b)).\nAnswer: 2700*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2559997 = -4*a - m, 5*a + 3*m - 714243 = -3914234. What is a rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6270 and 1518.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11364*l**2 - 11348*l - 16 = 0 for l.\nAnswer: -4\/2841, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 176\/533? (a) 1 (b) 2\/27 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d. Let p(f) = -f**2 - f + 9. Let r be p(0). Let j = r + -10. Calculate y(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*d, y + 5*d + 50 = -39. Let s = y - -34. Let c = s - -88. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 6, t: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/7, -49, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.36 rounded to 0 decimal places?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 7, d: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 118492*i - 16. Let n be z(-2). Round n to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1685 = -216*g + 2203 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -86 and -1315111.\nAnswer: -1315197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*c**4 - 9*c*z - 3*z - 3217 wrt c.\nAnswer: 32*c**3 - 9*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 7:11 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 32, -151, -2, 45 in increasing order.\nAnswer: -151, -4, -2, 32, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*d + 10, 0 = 4*d + 4*f - 9 + 1. Solve 2*h + 4 + 2 = 3*i, 0 = i - d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + r + 16, 19*r - 48 = -2*u + 21*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 5)*(t - 3 + 3) - t - 3*t + 3*t + t + 2*t - 2*t)*(-37*t + 27*t - 19*t).\nAnswer: -58*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:37 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 6*o)*(3 + 1 - 1).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96515.\nAnswer: 5, 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k - 2. Does 11 divide o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**7*u)*u)\/u)**(-1\/31) assuming u is positive.\nAnswer: u**(-5\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.35 (b) -3\/2 (c) -0.16 (d) 0 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78476 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -12. Let f(p) = -11*p + 125. Let m be -7 + 6\/(-15)*-45. Let c be f(m). Solve 3*z + j - 5 = h, -3*z = -c*j - 31 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 844*l - 19 + 831*l - 1680*l in the form m*l + y and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v - 14. Let y be f(5). Let r be -4*y*(-1)\/4*2. Solve 0 = -4*d - 5*u + 7, -3*u - r*u - 2 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 42. Let t be n(19). Suppose i = t*q - 0*i + 504, 4*i = -q - 109. Calculate the common denominator of -81\/8 and (-4 + 3)\/((-145)\/q).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 13 = 3*g, g + 17 = 4*x + 4*g. Suppose 0 = -4*s + 2*i - x, 5*s = 5*i - i - 10. List the prime factors of 1*8*(75\/s)\/5.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/5124 and 53\/56784.\nAnswer: 3463824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -36*d - 996. What is g(-28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3743632332 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 564606264 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, -62, -108, -170?\n\"Answer: -8*t**2 - 6*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 + 84\/(-136). Let i = 0.05 + 0.15. Which is the biggest value? (a) i (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/21 - 1)\/(16\/(-6)). Let j(b) be the third derivative of 0 - o*b**5 + 0*b**3 - 2*b**4 + 28*b**2 + 0*b. Find the second derivative of j(m) wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 2141220001?\nAnswer: 2141220033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (182 - 182 - (0 - (-8 - (5 - 0))))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4944*a + 5 + 447 = -4522*a - 3*h, a = -h - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r + 11. Let t(i) = i - 2. Let o(y) = 6*b(y) + 33*t(y). Let g(c) = c**2. Determine g(o(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -945, -944, -941, -936, -929?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + 40. Suppose -58 = 6*w - z. Solve -w*h - 2*h = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 636, 979, 1338, 1719, 2128, 2571, 3054?\nAnswer: 3583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 58946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -45, 3, -112 in decreasing order.\nAnswer: 6, 5, 3, -45, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*p = -4*p, 3*p = -5*r + 7. Suppose -2*a = r*a + 4. Let j = 5 + a. Calculate the smallest common multiple of 6 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008159646 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 26. Suppose -3*w = -a*f + 14 + 4, -2*w = 5*f - 13. Suppose 4*u = 4*k + 908, k = 5*u - f*k - 1138. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6303 + 1.030336. Let r = 7 + -5.4. Let a = r + w. Round a to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wefqwye. What is prob of sequence wq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/404885292 and 64\/93621?\nAnswer: 4453738212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 305?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*x**2 - 22*x**2 - 1.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 17*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6208022 times -6?\nAnswer: -9.7248132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383873.5 - 383872. Let x = -0.37 - -0.07. Sort 2\/7, w, x in ascending order.\nAnswer: x, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*s + 88, 2*r + 3*s - 151 = -0*r. Suppose r = -5*m + 9*m. Let o = 17 - m. Solve o*t - 2*t - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 83. Suppose 4*u = 3*s + 27, 0 = -5*u + 4*s - g + 35. Let w = -25 + 20. Sort -3, u, w in increasing order.\nAnswer: w, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + g + 2*g - 2*g**3 + 2. Suppose -19 = 4*s - 11. Determine v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 at least as big as -350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 15 = -h. List the prime factors of (27\/3)\/h + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 2:30 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -43. Sort -5, 10, -4, q in increasing order.\nAnswer: -5, -4, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 18915720446468.\nAnswer: -18915720446468.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 3*x**2 + 3*x + 1. Let j = 1 + -5. Let s be m(j). Suppose 1 = s*g - 34. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Let z = -400 + 402. Differentiate 15*f**2 - 6 + f**z + 4*f**2 - a*f**2 with respect to f.\nAnswer: 34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 845 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1290*p - 17 - 1276*p + 3 + (2 - 2 + 2)*(p + p + 0*p) + 0 + 0 + p.\nAnswer: 19*p - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1447*d + 8685. Let r be v(-6). Put r, 1, -5, 18, 71 in decreasing order.\nAnswer: 71, 18, r, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2. Let n be q(-1). Calculate the common denominator of (-259)\/12 - (-2)\/6 and ((-30)\/9)\/((-4)\/n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.3. Let t = m + -0.8. Which is the closest to -1? (a) -1\/4 (b) 5\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 2. Let i(p) = -2*p - 2*p + 4*p + p. Give 2*i(y) - j(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 4\/57, 100, 1.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 1.4. Let g = q - 0.5. Let k = -3 + 8. Put g, 0.3, k in decreasing order.\nAnswer: k, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x**4 + 8*x + 5*x - 3*x**3 - 10*x - 2*x**2 - 4*x**2 = 0. What is x?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*a = 75, 7*a - 285 = -5*f + 2*a. Let w be (-4)\/(-1 - (-1 - 1)). Does 14 divide w - -1*(-4 + f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from {v: 4, h: 15}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 13*x**2 - 2*x + 31. Let j(u) = 6*u + 1. Let g be j(2). Let s be n(g). Solve -r + s - 3 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 32 = 40. Let l(z) = -3*z**2 + z - 2. What is l(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(9) + 1*sqrt(441) - 2*sqrt(9)*-2)\/(sqrt(24)\/(sqrt(48)\/sqrt(6)*2)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/752276 and 97\/4.\nAnswer: 752276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/235)\/(2\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q. Let v be 0 - -1 - (-3 + 2). Suppose q*t - 4*w = v*t - 18, -2*t - 2*w = -12. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 + 1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 496*b - 491. Let g be c(1). Solve 0 = 5*q - 34 + 9, -2*v - 3*q + g = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**2 + 0*m**2 - 5*m**2)*(-m**2 + 8 - 8).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 37, 0, -3\/4, 3\/7, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 18 + -11 - (1 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/(27\/45). Suppose 0*w - l*w = 0. Suppose w = t + i - 0*i - 2, -2*i - 5 = -t. Solve 2*a + t*h = 3, -a + 0*h = 5*h + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, g: 4, p: 2, b: 1}. What is prob of picking 2 v, 1 p, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25245814 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 2*q + 14, 4*t - 165*q - 16 = -161*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/11 + 1240*d**4\/11 - 20240*d**3 + 9146240*d**2\/11 - 33952800*d\/11 + 33081984\/11 = 0.\nAnswer: 2, 52, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 97935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8589964, 8589969, 8589986, 8590021, 8590080, 8590169, 8590294?\nAnswer: 8590461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 41 = -o - 0*i, 2*o + i + 94 = 0. Let h = o - -69. Which is smaller: 23 or h?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118.19, -19, 5, -1\/3, 4.\nAnswer: -19, -1\/3, 4, 5, 118.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -2*u - 1\/3*u**3 - 1\/4*u**4 + 0 - 1\/10*u**5 + 0*u**2. Determine t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 4. Let d be j(-5). Suppose 2*r = 3*r - d. Let b = r + 13. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*m = 6, -6*d - 2 = -2*d - m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**0)\/(g*g*g*g\/(g*g**(-1))*g))\/(g\/(g*g**(-5)\/g)*g**(-1)))\/((g\/(g*g\/g**(2\/3)*g*g))**45*g**0\/((g*g\/(g**(-7)\/g*g)*g)\/g)) assuming g is positive.\nAnswer: g**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, 7, -4, 356 in decreasing order.\nAnswer: 356, 26, 7, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.1 (b) -3\/8 (c) -0.04 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 10. Let u(c) = -c**2 - 1. Let l(i) = 5*i**2 + 13*i - 11. Let o(d) = -l(d) - 6*u(d). What are the prime factors of o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-30)*8*-31*(-189)\/(-126)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9122.36l to millilitres.\nAnswer: 9122360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 86, 101, 116?\n\"Answer: 15*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.0202137001 - 19.8\nAnswer: -18.7797862999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.53*10\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50088118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/2291 and -23\/3.\nAnswer: 6873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191326*u - 191356*u + 780 = 0 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250\/6 + 11\/33 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6960943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (30 - 52)) + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose -o*a + 5*a - 6 = 0. Solve -4*b = -4*r - 24, -3*r + 0*b = b - a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(343) + -1 + sqrt(343) + (sqrt(343) - (sqrt(343) - sqrt(343)*-1)) + -3 - (1 + 3*sqrt(343)*-1 + sqrt(343)))**2.\nAnswer: -15680 + 1470*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6941, -6936, -6921, -6890, -6837?\nAnswer: -6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voo when three letters picked without replacement from {o: 2, j: 1, h: 1, v: 1, r: 2, f: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {a: 1, w: 1, j: 1, e: 1, n: 2, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:34 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31842 - 31844. What is the second biggest value in -4, -5, -49, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 4*f**5 - f**5 + (f**3 + 0*f**3 - 3*f**3)*(f**2 - 3*f**2 + 3*f**2) - 5*f**5 + 10*f**5 + 32*f**5.\nAnswer: 36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240.1 + -244. Let i = -2402.916 + 2399. Let k = i - v. Round k to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -13580833*n**2 - 21403*n. Let l(x) = -2538*x**2 - 4*x. Calculate 21403*l(a) - 4*w(a).\nAnswer: 2518*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183961.\nAnswer: 71, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 125, 128, 133, 140, 149, 160?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 15) + -17 + -16 - (60 - 8 - 3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-11)\/10 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2838093 is divided by 5050.\nAnswer: 5043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -53. Is l*((8*-2)\/4 - 2149) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-74)\/(-4*2\/(-8)). Let v be 1\/(-6) + q\/(-12). Suppose 0*w + 2*r - v = -w, -4*w + 15 = 5*r. Solve 1 + w = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 4. What are the prime factors of (3*173\/(-3))\/v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 227871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**1\/u))**(-12\/11)*(u\/u**(1\/4))\/u*u**(1\/5))**(-19) assuming u is positive.\nAnswer: u**(4769\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -51, 2.362, -9, -5?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 1. Let j(g) be the second derivative of g**4\/12 + 2*g**3\/3 + 7*g**2\/2 + 7*g. What is -j(w) - 6*z(w)?\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r + 4. Let d be o(-6). Calculate the least common multiple of 2\/(-6) + d\/(-6) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.9 and -4349.\nAnswer: -38706.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -75, 18, -0.0969?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 + 67488888*v + 67488891 = 0. What is v?\nAnswer: -1, 22496297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7739, 6236, 3727, 206, -4333?\n\"Answer: -p**3 - 497*p**2 - 5*p + 8242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/6 - 7*i**3\/6 + 24*i**2.\nAnswer: -i**2*(i - 9)*(i + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -749565*y**3 - 11241*y**2 + 4*y wrt y?\nAnswer: -4497390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 30704 (base 8) to base 16\nAnswer: 31c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 16. Let j(t) = t + 3. Let q(d) = -2*d - 6. Give r*j(y) + 6*q(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 24. Calculate k(7).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353583 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.383217 hours in minutes?\nAnswer: 262.99302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132*v**4 + 70 wrt v.\nAnswer: -528*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -399 (base 13) in base 6?\nAnswer: -2533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -81501 (base 11) to base 2\nAnswer: -11101000100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*b + 58 = 3*q, 3*q = -b - 87. Let x = q - -46. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -14, 11, -1, 314, 0 in decreasing order.\nAnswer: 314, 11, 5, 2, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*c**3 + 554*c - 274*c + 0*c**2 + 2*c**2 - 281*c in the form z + a*c**2 + t*c**3 + p*c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 + -1220212?\nAnswer: -1212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4217071 + 64?\nAnswer: -4217005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84132486 - 84132486 - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*q + 21, 4*v = -2*q - q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gql when three letters picked without replacement from qgqqcqlqgalya.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmuuum. What is prob of sequence mm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0.4, 1, -892, 0.12 in descending order.\nAnswer: 4, 1, 0.4, 0.12, -3, -892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 divided by -1?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29225*p - 29239*p = -518 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 23. Let k be l - (896\/(-49) - 4\/(-14)). Calculate the highest common divisor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*m + p + 4*p, 4*m = 4*p + 16. Suppose 0*y = 3*w - 4*y + 7, 0 = 3*w - 3*y + m. Let v(k) = 6*k + 5. Is v(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386490706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-20)\/10)*(-2)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 118071.01 to the nearest 100.\nAnswer: 118100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -665 - -2974. Let l = v - 1357. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*a = i + 8, 12 = -i + 3*a. Solve 2*g - 7 - 1 = i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose -9 - 56 = -5*y. Let t be y\/(780\/(-48))*30\/4. Put w, 4, 5, t in ascending order.\nAnswer: t, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 28 = -4*k, 2*o - 30 = -o - 3*k. Suppose 0 = o*y - 4*y - 68. Suppose u + 3*u - y = -2*n, n + 53 = 5*u. Is -1 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - 155. Let b = 56 + l. Solve b = x + j + 4, 3*x - 2*x = -4*j - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 - 7*i. Let k be q(4). Let d = k - -97. Suppose 2*t - 125 = -d*v, -138 = -3*t - 3*v + 45. Sort 4, 1, t in increasing order.\nAnswer: 1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1536\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5549662 nanograms in micrograms?\nAnswer: 0.0005549662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 5*i**3 - 2*i**3 + (-863*i + 13*i - 1095*i)*(-i**2 - 4*i + 4*i) as g*i + v + p*i**3 + k*i**2 and give p.\nAnswer: 1947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -90, -2\/5, -3\/25 in decreasing order.\nAnswer: -3\/25, -2\/5, -1\/2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -448142 in -4, -2\/11, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*z**2 - 6*z**3 + 25*z**2 + (-z + 2*z + 0*z)*(3 - 3 + z**2) + 0*z**3 - z**3 + 2*z**3 + z**3 - z**3 - 3*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 63. Let q = z + -11. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**5 + 20*c**2 - c + 321 wrt c?\nAnswer: 140*c**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -43, -1666\/11 in descending order.\nAnswer: -13, -43, -1666\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 332665814 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: List the prime factors of 425711.\nAnswer: 11, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**4 - 2*q**4 - 4*q**4 + (-20*q + q**2 - 2*q**2 + 29*q)*(2*q**2 - q**2 - 2*q**2).\nAnswer: 2*q**4 - 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5672197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10983, 8135, 5287, 2439, -409?\n\"Answer: -2848*d + 13831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2011974 and 6?\nAnswer: 2011974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 4*t - 356 = 0, -5*q - 561*t = -291*t - 274*t + 106 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4588.6*-84\nAnswer: 385442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.097 in 4\/3, -2\/7, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/58708807 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18 + -16)\/(2\/(-603)). Let z = w - -612. Solve 0 = -z*n - 1 + 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.1. Let o be 7*14\/70*2\/(-7). What is the closest to -1 in 2\/3, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*f - 81740 = -120989 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 528\/7, 5, -2\/7, 2.\nAnswer: -2\/7, 2, 5, 528\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -13, 12, 47, 92, 147, 212?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 283\/5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 28. What is the highest common factor of 72 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*p + 127*p = -25*p + 3572 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290\/14 + 4 + (-145)\/35.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - (-36704)\/17352)*(-5)\/(40\/6) and -63\/964.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6066, 6053, 6040?\n\"Answer: -13*k + 6079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1298120, 1298121, 1298122, 1298123?\nAnswer: 1298124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001000 - -101?\nAnswer: 1000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 3:24 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -2*m. Suppose 5*v + 7 = m*t, 1 = -t + v + 3*v. Solve 0 = -4*x + w - 12, t*x + 4*w - 10 = -0*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:17 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(56)\/(sqrt(8)*1) - (sqrt(378)\/sqrt(6))\/sqrt(9)) + (5 + sqrt(448) + 3)**2 + (sqrt(448) - (sqrt(448) + 1))**2 + -5.\nAnswer: 128*sqrt(7) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a**(-8))**(-6\/31) assuming a is positive.\nAnswer: a**(-84\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 0.3. Let r(y) = -2*y**2 + 8*y**2 - y**2 + y**3 + 4 + y + 2*y**2. Let l be r(-7). What is the biggest value in 3, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2 - 6. Let w be -1 + 4 - -3*m. Let y be 8\/(-30)*(-9)\/w. What is the closest to -0.1 in 4, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/16 - 41\/48. Let z = -44351.1 - -44352. Which is the closest to f? (a) z (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*d - 83*d - 4*j + 4 = 0, -2*d + 3*j + 2 = 0. Solve 4*x - 7*x + 5*m + d = 0, -30 = -5*x - 5*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -32) + (-2 - 1) - 23 - -112?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuzlg. Give prob of sequence gl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 3 + -3*sqrt(30)\/sqrt(6).\nAnswer: 3 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2145, -4293, -6441, -8589?\n\"Answer: -2148*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 + 3.14. Let h(n) = -n**2 + 79*n - 1487. Let k be h(31). What is the closest to k in -2\/19, 1, j, -5\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35132 - -49473. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -40, 0, 6619, -4 in descending order.\nAnswer: 6619, 4, 1, 0, -3, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-17 + 30 + -17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 834*-0.2\nAnswer: -166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 914713601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12921*x + 12910*x - 198 = 0 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11559 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899682 is divided by 21943?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avavaawvavvaawvwva. What is prob of picking 2 w?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7385 - 4552. Let y = 2832.999998811 - b. What is y rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 32*x - 788. Calculate the lowest common multiple of f(-17) and 123.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + 2*sqrt(132) + sqrt(33))\/sqrt(11).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*g - 6*g + 163*g)*(6*g - 9*g + g).\nAnswer: -476*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1520 and 7?\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**3 + 3 - 8 - 6 - x**3 - 9 in the form l*x + b*x**3 + h + i*x**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410\/49*(-22)\/99*1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**3*x**3 + 142*p**3*x + 5*p**2*x**2 + 3*p**2 + 3*p*x**3 wrt p?\nAnswer: 24*x**3 + 852*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 137\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 17. Let z be f(-6). Find the second derivative of z*i**3 + 7*i + 19*i**3 + 24*i + 9*i wrt i.\nAnswer: 228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v + 863 + 343 = 0. Solve -3*o - 15 = -v*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92da (base 16) to base 13\nAnswer: -1415b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 767 = -1921. Suppose -3*m + 459 = 5*f, -4*m + r = -0*m - 5*f. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-9) - -1 - (-107)\/(-963)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*s + 7*s = 15, 5*s - 30 = 5*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -17*p + 322. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + 0.07?\nAnswer: 86.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-160)*(-2440)\/15 - -8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5646 is divided by 2794?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*z = -219 - 291, n + 4*z = 124. Calculate the remainder when n is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 25*u - 6 + 23*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00168942 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101000 - -100?\nAnswer: 1110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(-26 + 27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44371102?\nAnswer: 2, 29, 41, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-2\/51)*j)*j\/(j*j**29)*j*(j*j\/(j*j**(9\/2)))**45 assuming j is positive.\nAnswer: j**(-18917\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18627551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 14*r + 108 = 0. Solve -3*u - r = -8*u - m, 0 = u - m - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**9\/756 - h**8\/420 + 113*h**3\/3 - 40*h + 1. Let t(x) be the second derivative of q(x). Factor t(s).\nAnswer: -4*s**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80524 and 946157?\nAnswer: 3784628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49117, 49060, 49017, 48994, 48997?\n\"Answer: g**3 + g**2 - 67*g + 49182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*f - 18*f + 23*f)*(-7 + 9 - 9) to the form t + q*f and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 + -92. Calculate the remainder when l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4620679*n**3 - 1572597*n.\nAnswer: -27724074*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + -1 + -2 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2451048117 to the nearest integer?\nAnswer: 49508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -867.04 - 35.96. What is the third smallest value in u, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3157539172.\nAnswer: 2, 2087, 378239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 165*c + 5. Let y(n) = -2079*n - 1. Give l(y(v)).\nAnswer: 4322241*v**2 + 347193*v + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-110)\/(-88)*(-8)\/6. Suppose 0*k**3 - z*k**4 + 0 + 1\/3*k**5 - 1\/3*k + 2\/3*k**2 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 580*f**4 - 70*f**4 + 2*f**2 - 3*f**2)*(14 - 55 - 36).\nAnswer: 50050*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*(-3 + -2))\/2. Suppose c + 4*n = 39 - 3, -5*n - 55 = -o*c. Suppose -3*m - 26 = -c*m. Solve -2*x = -3*s - s - 10, -4*s - m*x + 10 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 22. Let x be u(9). Suppose -2*m - 10 = -3*p, 2 = 3*p + m - 2. Let k be p*((-14)\/4 + 4). Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 25, -2.\nAnswer: -2, 1, 23, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + -3 + 1 + (3 - (-43 - -38)) - -12.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*h + 14*h + 28*h + 0*h.\nAnswer: 147*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181192219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*m - 17*m + 65*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.06\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73963, -73949, -73925, -73891, -73847, -73793, -73729?\nAnswer: -73655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 1360 (b) 4\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/31, -1, 1, 2 in decreasing order.\nAnswer: 2, 1, 1\/31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 65*k**2 + 44*k - 1385. Give w(-66).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(1 + 4 + sqrt(612) + 3) + 0)**2*4.\nAnswer: 18432*sqrt(17) + 129792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207049 - 207049 - 1591*l)*(1 + 2*l - 5*l + 0)*(-3 - 4 + 5 + (-1 + 3 - 4)*(-2 - 1 + 5)).\nAnswer: -28638*l**2 + 9546*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2271 + 146.3271. Let f = 149.1 - i. Let k = -2.01 + 0.01. Which is the biggest value? (a) k (b) 2\/3 (c) f (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6753, -6769, -6789, -6813, -6841, -6873?\nAnswer: -6909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 18*n + 36 = 0. Let z(k) = -392*k + n - 3 + 390*k. Let y(s) = 6*s. Give y(z(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*(-2)\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211 by 6179.\nAnswer: 211\/6179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5dc + -5?\nAnswer: -5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 3. Let i be k(-11). Let j = i + 20. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(2 + -2 - -1). Suppose -12 = -3*h + 3*b, 6*h = 2*h - 4*b. Suppose 14*q = 19*q - 2*t + 5, h*q = t - 1. Sort s, -8, 2, q in ascending order.\nAnswer: -8, s, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/8)\/(3\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4 = -68. Suppose -h + 3*p = -0*h - f, p + 4 = 0. Suppose 0*n = -4*d - 3*n - 13, -d - n = 4. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -387?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 13) in base 11?\nAnswer: 43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1 = i, -19*x + 24*x - 21 = i. Let l(q) be the second derivative of q**4\/6 + 5*q**3\/2 - 5*q**2 - q. What is the units digit of l(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = d. Let m be (-5)\/(-15) + (-11)\/d. What is the second derivative of 3*l + 3 - 3 - m*l**2 wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/3*6\/(-4). Suppose -y*h = -h. Let q(t) be the first derivative of -t**3\/3 + t**2\/2 + t + 2182. Calculate q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31133343 (base 5) to base 2.\nAnswer: 111110010111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*l**2 - 208*l**3 - 85*l**3 + 127*l**3 wrt l.\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 31605610.\nAnswer: -126422440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t*w**2 - 879094*t - 1941*w**2 - 26*w wrt t.\nAnswer: -2*w**2 - 879094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 43140?\nAnswer: 43142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n**2 + 4*n - 4. Let d(b) = -3*b + 48 - 7*b**2 + 6*b - 6*b**2 - 97 + 46. What is -4*d(o) + 3*k(o)?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:49 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41028957 to the nearest integer?\nAnswer: 6405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663728 to the power of 1\/2, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -218397186 divided by 3466622?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -134 - 766. Let a = r - -554. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(3\/4)*g)))\/(g\/(g*g\/(g**(-1\/21)\/g))) assuming g is positive.\nAnswer: g**(319\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2. Let w(s) = -405254143*s**2. Give z(w(j)).\nAnswer: 328461840837328898*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 234310129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137622*b**3 - 211325*b**2.\nAnswer: -825732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 11*b - 252 = 0. Suppose -20*k - 6 = -b*k. Solve 3*t = k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 99*p**3 + p**2 + 3*p + 1. Let q be l(-1). Let u = -58 - q. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - -1.6. Let y = 423.1 - 423. What is the second smallest value in k, 0.01, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-959536\nAnswer: -3838144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 221641 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -38.6. Let f = l + -3.8. What is f rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/(-10) + 4\/10. Let j(r) = r + 6. Let m be j(a). Suppose 4*q - 6*h = -m*h + 29, -5*q = 3*h - 43. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163838047.\nAnswer: 1097, 149351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 3*k**8\/112 - k**6\/120 - 2*k**4\/3 - k**3\/2 + 38*k**2. Find the second derivative of r(m) wrt m.\nAnswer: 180*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285279 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 989481125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673) + (sqrt(2673) - sqrt(2673)*-2)*-1 + sqrt(2673) + sqrt(2673) + sqrt(2673) + sqrt(2673) + -5*sqrt(2673)*2)\/(-2*sqrt(99)*-3*1).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - 21 = 0. List the prime factors of 2\/7 + (-141)\/d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/18 - (-202)\/114?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 774*v**4 - 3165*v + 3165*v + (2*v**4 + 1 - 1)*(-1 + 0 - 1) + v - v + 2*v**4 as q*v + j*v**4 + r*v**3 + a + g*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3777\/((1 - -8)\/9)?\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (-2 + 3*sqrt(2448)*2 + sqrt(2448) + 5)*6 + -5))**2.\nAnswer: 40320*sqrt(17) + 17273488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9aa + 9267?\nAnswer: 8368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.04064 * 16\nAnswer: 0.65024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + i - i + 17*i**3 + 34*i**3.\nAnswer: 51*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 0.6. What is the nearest to q in 1\/2, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 1 - 142\/26. What is the closest to -1\/24 in a, 0.4, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59.08 - 59.13. Put 2\/23, -4, 3\/34, r, 1\/5 in decreasing order.\nAnswer: 1\/5, 3\/34, 2\/23, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 183 = -27 - 94 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23274 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1495519, -5982094, -13459719, -23928394, -37388119, -53838894, -73280719?\n\"Answer: -1495525*n**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-20)*-4*-1)\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11906593 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 263735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/329584?\nAnswer: -9\/329584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55906764 divided by -6?\nAnswer: -9317794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612583.2ms to hours.\nAnswer: 0.170162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from {q: 1, v: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438 = 233*j + 467*j + 6338 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 45*y**2 - 22*y - 17. Let w be (-45)\/12 + 4 - 89\/4. Is g(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Suppose -63 = -l*t - i, -t + 3*t - 69 = -3*i. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -889258 divided by -14578\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-333)\/36 + 9)*2018\/31. Let q = 24\/31 + k. Which is smaller: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000524413 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*k + 99 = -30, 4*k + 6 = 2*v. Solve 4*t + 7 = -9, -v = i + 5*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l. Let o(k) = 5*k + 4. Let d(v) = 5*v + 3. Let b(w) = -3*d(w) + 2*o(w). Suppose -p - 49*q = -52*q - 1, -4*q = 5*p - 24. What is p*b(g) + 3*f(g)?\nAnswer: -2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 1641*l - 1666*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.555 - 27.7. Let f = 0.045 + j. What is f rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 4*y - 4. Let w(b) = 3*b**2 - 2*b - 2. Let a(i) = k(i) - 2*w(i). Let l(t) = 22*t - 41*t - 25*t. Calculate a(l(p)).\nAnswer: -3872*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -14224232?\nAnswer: -14224224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 - 3*i**4 + i**4)*(-4 + 3 - 1 - 3 + 3 - 2 + (1 + 2 - 1)*(5 - 1 - 5)) + 0*i**2 - 6*i**4 + 0*i**2.\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -4*o + 80. Let m = 35 - o. Let v = 19 + m. Sort v, 4, -3.\nAnswer: v, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e05 - -4?\nAnswer: -4e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.8 + -8.5. Let v be (-3)\/(-48)*18 - 1. Which is the nearest to -2? (a) m (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28388170?\nAnswer: 2, 5, 43, 107, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/((-100)\/(1850\/37)*(-37)\/7).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - g - 4 = -2, g - 8 = -3*x. Suppose 2*u - 4*r - 16816 + 414 = 0, 16407 = x*u - 5*r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/9 + 4*m**3\/3 + 29*m**2\/9 - 4*m\/3 - 28\/9 = 0.\nAnswer: -2, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 3) to base 12\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15153694.\nAnswer: 2, 7576847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -43, 16, 101, 212, 349?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Suppose 35 = 2*u - 3*o, 9 - 24 = w*o. Solve 0*r + 2*r = u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, -2\/163.\nAnswer: -1\/2, -2\/163, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 10, 2, 13 in increasing order.\nAnswer: -6, 2, 5, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -226*y + 3385. Let m be g(15). Let q(r) = 7*r + 4. Let b = 2 - 1. Let t(n) = n + 1. Calculate b*q(z) + m*t(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -25. Let j = p + -27. Let k = j - -16.2. Which is greater: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.5 + 0.5. Let o = -1.7 + 12.7. Let y = 9 - o. Sort a, y, -0.1 in descending order.\nAnswer: a, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 14*t**2 - 6*t - 81. Calculate m(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 346409 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -7.4622. Let k = y + -3.5365. Let b = -32 + k. What is b rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*z + 32117 = 32069, 158 = 4*g - 15*z + 30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/9725110 and 95\/187472?\nAnswer: 77800880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 97.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 61*c**3 + 0*c**2 - 4*c**2.\nAnswer: 61*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130597*l**4 - 1728229*l?\nAnswer: 1567164*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7623).\nAnswer: 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -97. Let s be 2\/(-4) - -10*a\/12. Suppose -4*w = 16, f - 2*w - 122 = -s*w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -576465 - 843535. What is j rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r**3 + 26*r**3 + 2*r - 46*r**2 - 3*r.\nAnswer: 65*r**3 - 46*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*w - 4 = 0, -3*w = 2*l - 3 + 1. Suppose -2*o = -o + l. Let z be (o - 3)*(-1 - 0). Solve -3*v + 2*v = z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z - 3. Let m be l(3). Let o be m\/(-10)*(1 + (-52)\/12). Suppose o*n - 15 + 19 = 0. Is -5\/8 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9.4. What is the biggest value in f, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + -76. Let v be (-3)\/((-26)\/32 - -1). Let h(i) = 3*i - 7. Let k(u) = 10*u - 22. Give v*h(j) + w*k(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 387?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 4*c + c + (5*c - 2*c - 4*c)*(4 - 5 + 2) + c + c - 4*c)*(-302 - 295 + 372) + (-5 - 2 + 4)*(-11*c + 10 - 10) to the form g*c + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 118\/4)*-2. Let f = -60 - l. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(2 + (-36)\/15). Suppose w*a + 153 = 14*a. Suppose a*f + 20 = 18*f. Calculate the remainder when f is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(u + 11*u + u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 29)\/5*(-4)\/(-10). Let i(d) be the first derivative of 7\/3*d**3 - 3\/2*d**m + 3 + 0*d. What is the second derivative of i(w) wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2532 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -42*m + 8. Let d be b(-7). Let o = 46 + -43. Suppose -4*c - 2*w = -d, -o*w - 3 = -18. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -7764218\nAnswer: 1\/554587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -6 (c) 8 (d) -6\/13859 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4675 - 4680. Which is the nearest to v? (a) 1 (b) -7\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3\/2 - 944*s. Let t(n) = -33*n - 2. Give y(t(j)).\nAnswer: 99*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/186900 and 67\/3780.\nAnswer: 1682100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -361\/61?\nAnswer: -361\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -32, -20, 8, 58, 136?\n\"Answer: w**3 - w**2 - 2*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10061, -20100, -30099, -40040, -49905, -59676, -69335?\n\"Answer: 3*r**3 + 2*r**2 - 10066*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 3\/2, 3\/8, -0.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -1774, 0, -5, 69.\nAnswer: -1774, -5, 0, 2, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 3*x - 66)*((-x - 3*x + 3*x)*(-3*x + 3*x + x**2) - x**3 + x**3 + 2*x**3 + 0*x**3 + x**3 + 0*x**3) - 2*x**4 - 2*x**4 + 7*x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 461*a + 506. Calculate m(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6507 - 6468. What is the fourth biggest value in -3, 2\/9, l, -2.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaac when four letters picked without replacement from {a: 3, f: 2, p: 2, c: 9}.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 2\/3, -75.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12244.15 from -16.\nAnswer: 12228.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 5. Let a be l(-6). Calculate the highest common divisor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3be (base 16) in base 13?\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 198?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198445, 793770, 1785977, 3175066, 4961037, 7143890?\nAnswer: 9723625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3775 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4344, -17332, -38962, -69234, -108148?\n\"Answer: -4321*r**2 - 25*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**7\/840 - 11*a**6\/360 + 7*a**5\/60 - 5*a**4\/8 - 3*a**3 + 15. Let o(y) be the third derivative of q(y). Is o(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*g - 2*g - 2, 0 = -4*i - 5*g + 29. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(96)\/sqrt(12)))\/sqrt(9) - 2*-2*sqrt(3)*4.\nAnswer: 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -467?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 2*n**3\/3 - 95*n - 1. Let j(w) = -40*w. What is j(c(o))?\nAnswer: -160*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4722928 is divided by 188916.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (5 - 5 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 106\/9 + (-8)\/(-36). Suppose -4*w = 3*n + 10, 4*w + i = -4*n + 4. Solve -5*t = -5*h + 15, h = n*t + 7 - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 10. Let g(u) = u**3 - 2 + 3*u**3 + 2*u**2 + u - 5*u**3. What is the lowest common multiple of o and g(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242902*j - 13842?\nAnswer: -242902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 4. Let h be z(-9). Let o = -4 + h. Calculate the lowest common multiple of 2 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 9) to base 10.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 8*x + 3. Let p be g(-8). Let l(o) = -6*o + 6. Let j(t) = 11*t - 11. Let d(k) = p*j(k) + 5*l(k). Determine d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/2 - 290418*o + 14057102454 = 0.\nAnswer: 96806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9491034 litres in millilitres?\nAnswer: 949.1034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/43 - 55\/86. Let q = -19.5 - -16. Let u = -0.5 - q. Is u greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpp when three letters picked without replacement from {s: 4, p: 2, x: 8}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 0, 9 in decreasing order.\nAnswer: 9, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/3 - (-118 - 1). Suppose -5*f + n = 29. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 85759.29 micrograms?\nAnswer: 85759290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3 - 2*l**2 + 0*l + 2\/3*l**3. Let g = -24 + 17. Let q(n) = -n**2 + 2*n. What is g*q(t) - 3*y(t)?\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1876 + 1879. Let t(r) be the second derivative of 2*r + 0*r**5 - 1\/18*r**4 + 0*r**2 + 1\/45*r**6 - 1\/126*r**7 + 1\/18*r**s + 0. Solve t(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4021 - -8990. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15764, 31531, 47302, 63077?\n\"Answer: 2*g**2 + 15761*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/9152 and -53\/2288.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**4 + 152*h**3 - 1584*h**2 + 2592*h = 0.\nAnswer: 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -4, -58, 0.15, -1\/5, -0.79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 2. Suppose 2*a = -3*a. Suppose a*m = 4*m - 12. Calculate r(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008633092558 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j**5\/j)\/(j\/(j\/j**(-2\/7)))**(8\/5))\/(j\/j**(7\/3)*j\/(j\/j**(-2\/5)))**21 assuming j is positive.\nAnswer: j**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrprprrr. Give prob of sequence rr.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.98, -23\/3, -0.1 in decreasing order.\nAnswer: -0.1, -0.98, -23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(sqrt(36)\/(4*sqrt(6))))\/(sqrt(75)*2 - (sqrt(6)\/(sqrt(2)*-1) + sqrt(3))))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 1792, 5 in increasing order.\nAnswer: 5, 88, 1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 7 - 3*a - 9 + 2*a.\nAnswer: -a + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8047 + -8049. Let x(n) = n**2 + 5*n - 4. Let h be x(-5). What is the fourth biggest value in h, q, 0.2, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*t + 4*w + 8, 0 = -t + 5*w - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 13) to base 16\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 7*q + 10.\nAnswer: (q + 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**2 + 30*x**2 + 38743*x**3 - 38751*x**3 + 26*x**2 - 83*x**2.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 - 5*x - 11. List the prime factors of g(-5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 + 1345 = 171*o. Let a(p) = 15*p - 4. What is the remainder when a(8) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343853 divided by 343853.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(17)*-1)**2 + (sqrt(17) - sqrt(17)*-1*6)**2 + sqrt(1088) + 5 + 1 + sqrt(1088) + sqrt(1088))*-4.\nAnswer: -3488 - 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/12)\/(552\/(-138)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 131\/((35\/(-14))\/(-1 + -4))?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127? (a) 0 (b) -1 (c) 12\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = -4*r - 2*u - 22, 0 = -5*r - 5*u + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*w = -23, 0*r - 5*w + 21 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144\/5 + 1848\/5*d + 5281\/5*d**2 - 4158\/5*d**3 + 729\/5*d**4 = 0. What is d?\nAnswer: -4\/27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1107, -2211, -3315, -4419, -5523?\nAnswer: -6627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005745 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024900894 rounded to five decimal places?\nAnswer: 0.00249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 9, 2*d - 5*t = -2*d - 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2 - 2)*(5 - 6). Suppose -5*y + 3677 = -2*u, 4*y + 3*u - 4*u - 2944 = t. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*x**3 + 27*x**3 + 0*x**3)*(63 - 8 + 5) to the form a*x + y*x**3 + u + w*x**2 and give y.\nAnswer: 3540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**2 - 26*f - 5. Let o(q) = 7*q**2 - 25*q - 4. What is -6*o(h) + 5*p(h)?\nAnswer: 3*h**2 + 20*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 1, k: 2, c: 5}. What is prob of sequence kqi?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.992 + -0.088. Let c = 563626.080179 - 563623. Let n = g + c. Round n to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -907227*j. Let t(m) = -2*m. Calculate t(w(g)).\nAnswer: 1814454*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4628 - 4640. Which is the third smallest value? (a) 0.05 (b) -4 (c) u (d) -3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12 - (-183)\/18. Suppose 9*d + 4 = t*d. Let u(a) = -4*a + d*a + 7*a - 3*a - 6. What is u(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -47 + (4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 9. Let b be (1 + 9\/(-6))*12. Let f be d(b). Solve -v - 2 = x, f*x - 2*v - 12 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**2 + 0*i**3 - 1\/12*i**4 - 11*i + 0. Let r(y) = -7*y + 2*y + 0*y. Determine r(a(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {a: 5, w: 1, b: 1, i: 5, m: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {p: 1, a: 9, o: 2, b: 3, s: 2}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 28*w = 26*w - 12, -w = 3*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*c + 162. Let t = c + 36. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 8*j**2 + 2*j - 6. Let r = 15 + -7. Let f be t(r). Solve -m + 2*m + 2*l = f, -4*m - 3*l + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/((-224)\/(-21))*20\/6)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 8500*h**2 - 109702*h - 1949020 = 0. Calculate h.\nAnswer: -10, 23, 4237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-18)\/q)*q*q*q*q**(-3))\/(q**(-2)\/((q\/q**(1\/19))\/q)) assuming q is positive.\nAnswer: q**(398\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f + 3. Let d = 6 - 0. Let n(h) = -8*h - 1. Let i(s) = -s**3 - 14*s**2 - 3*s - 25. Let u be i(-14). What is d*o(a) + u*n(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/161)\/(968\/(-1012))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3447949, 3447920, 3447891, 3447862, 3447833?\n\"Answer: -29*l + 3447978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 5*d + 12. Solve 1 - 21 = -d*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3\/8, -2.7, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -39*m. Let v be n(-1). Let c = 87 + -82. Suppose -12 = -c*t + 3, -4*s + v = t. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 1, k: 7, s: 5}. What is prob of sequence ws?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thnangattmn. Give prob of sequence gmh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2 + -4)\/((-22)\/231). Differentiate -451*h + a + 843*h - 249*h wrt h.\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -9. Let o be (2 + (-75 - 0))*g. Let y = -50 - o. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 59 = 21*k + 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6386.073 kilometers in micrometers?\nAnswer: 6386073000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73632 and 1062?\nAnswer: 220896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 34345440 (base 6) to base 4\nAnswer: 10001313000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:32 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 1\/8*c**2 - 1\/12*c**3 - 2 - 1\/16*c**4 + 0*c + 1\/20*c**5. Find x such that b(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -412506 or -9487668\/23?\nAnswer: -412506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 4 - -13) + 4. What is the greatest common divisor of 120 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/(-38))*(-38)\/(-76)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/23437114 and 131\/3368208.\nAnswer: 562490736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/60 - 20\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 786026.33 to the nearest one hundred.\nAnswer: 786000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(0*i**4 - i**4 + 2*i**4)*(0*i - 12 + 4 - i).\nAnswer: -2*i**5 - 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3326104 and 5.\nAnswer: 16630520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -118, -100, -72?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -61, -62, -63, -64, -65?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let y be m(-6). List the prime factors of (-2538)\/60*(-4)\/y*-5.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**3 + 3*v**3 + 3*v**3 + (-3*v + 2*v + 2*v + 0 + 0 - 2*v + (-3 + v + 3)*(2 - 1 - 3) - 5*v - v + 5*v + 8*v - 2*v + 0*v)*(0 + 0 + v**2).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 divided by -591.\nAnswer: 413\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 19632594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36686 is divided by 36368.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 833*b**5 + 3078*b**3 - 361*b**2 - 3605*b - 17 wrt b?\nAnswer: 49980*b**2 + 18468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = 10*b - 5*b. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/16 + (-54)\/(-36). Solve n + b*p + 39 = 62, 2*n + 4*p - 22 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*y**2 - 861*y**5 + 860*y**5 - 760*y**2 + (-3*y + 0*y + 7*y)*(3*y**4 + 0*y**4 - y**4).\nAnswer: 7*y**5 - 738*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2870095 - 2870083 - 2870083 + 9*k - 4*k**2 - 9*k + 8610261.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332432 is divided by 126?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29105858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**2 - 405*k + 325. Give z(-30).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, -4, -7797 in decreasing order.\nAnswer: 5, 1, -3, -4, -7797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:52 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*v + 270*v - 535*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.901387 to 0 dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 12294 + 5*l + 11155 to o + k*l and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4627 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*o - 1654 + 1593, -5*q - o = 41 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 52 = -z. Let g = z + -4. Suppose -c + g = -55. Calculate the greatest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1857505 from -3.6697.\nAnswer: -1857508.6697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -615, -635, -673, -735, -827, -955?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.975719.\nAnswer: -2.024281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43229783308 - -6.\nAnswer: 43229783314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -294 + 5881\/20. Let q(v) be the third derivative of 0*v**4 + 0 + 0*v**3 + 4*v**2 - s*v**5 - 1\/30*v**6 + 0*v. Find the third derivative of q(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197085001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -896 - -1518. What are the prime factors of k?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4853100.7 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -74690624 + 29.70621\nAnswer: -74690594.29379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 11*i**2 + 12*i - 14. Let q be x(10). Suppose 5*p - 4*f = -2*f + q, 3*p = -2*f + 10. Sort p, 0.4, 0.02 in ascending order.\nAnswer: 0.02, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4807*k**3 - 4*k + 3 + 4*k + 4805*k**3.\nAnswer: -2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 13) to base 4\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4974514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**8\/560 + v**5\/20 - 7*v**3\/3 - 7. Let m(i) be the third derivative of a(i). What is the second derivative of m(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8224832?\nAnswer: 2, 7, 11, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0*m*m*m)**10\/(m**(-1))**(16\/7) assuming m is positive.\nAnswer: m**(296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 32*s**5\/5 + 62*s**4 + 76*s**3\/3 - 334*s**2 - 168*s + 5781. Solve q(x) = 0 for x.\nAnswer: -7, -2, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3172 = 4*y + 3144 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3682 and 57344?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 198847 divided by -105?\nAnswer: -198847\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 48. Let w be 2\/(-7) - 130\/(-14). Let f = o + w. Solve 0 = 5*h + c + 11, -2*h - 7 = -c + f*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022031 (base 4) to base 14\nAnswer: -331b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000407 to 5 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 7*q**5\/20 - 5*q**3\/6 + 2*q. Find the second derivative of y(z) wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113942.\nAnswer: 2, 1056971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1119 and 0.02.\nAnswer: 1119.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-2*1 - ((-1*sqrt(144) - sqrt(144))*-4 - sqrt(144)))\/(-5*(2*4*sqrt(200) + sqrt(200))).\nAnswer: 3*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 3*h - 3*h = 0. Let a(j) = -3*j + 7. Let b be a(-6). Suppose -5*r + b = -4*n, -r + 3*n - 2*n = -6. Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 16*f + 1. Let y be x(-6). Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 22*l**2 + 20*l - 65. Let i be s(-23). Which is the nearest to i? (a) 1 (b) -1 (c) 0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040009 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -486 + 489. Put 2\/3, 0.3, -18, m in descending order.\nAnswer: m, 2\/3, 0.3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 7*h. Let o be i(4). Does 8 divide 44\/6 - 8\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2, 56, -0.21, -1\/141?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 15\/2*l**3 - 7\/2*l**2 + 2*l**5 + 0 + 1\/2*l - 13\/2*l**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -518 not equal to -518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -285.301535 rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-50)\/(-15))\/5)\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, 0 in ascending order.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391, 697, 833, 721, 283, -559, -1883?\nAnswer: -3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 14638273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 - -5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgbg when four letters picked without replacement from bbgggbgbbbbbggggbbgg.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/12 - (10 + 4).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -1, -6, 4 in ascending order.\nAnswer: -42, -6, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 21. Let g = 582\/5 - 116. Put f, g, 4\/3 in decreasing order.\nAnswer: 4\/3, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 1696?\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 5\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 103*t + 1085. Calculate i(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -7*a**6\/40 - a**5\/60 - a**4 - 3169*a**3\/6 - 4974*a**2. Find the first derivative of s(v) wrt v.\nAnswer: -63*v**2 - 2*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from {s: 2, t: 1, c: 3, i: 6, m: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.062638 * 159.2\nAnswer: -9.9719696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:43 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/13542211?\nAnswer: -1\/13542211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 k when three letters picked without replacement from kkqqkk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f + 10. Let d be f*((-1)\/5 + 1). Let 2\/9*y**5 + 0 + 4\/9*y**d + 0*y**2 + 0*y + 2\/9*y**3 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10238139581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(33)\/(sqrt(3) + -1*sqrt(108)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*b + 2, 5*o - b = -7 - 7. Let h = 1 - o. Suppose -h*u + 542 = -5*a, -4*u + 718 = 2*a - 4*a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 49680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22798579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 34, 70, 148, 286, 502, 814, 1240?\n\"Answer: 3*i**3 - 6*i**2 + 9*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333 - 397 + 4*q**3 + 60*q + 730.\nAnswer: 4*q**3 + 60*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*u - 5, 5*b - 18 = b + 3*u. Let v(t) be the first derivative of -1\/3*t**b + 1 - 3*t + t**2. Give v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263369 to the power of 1\/2, to the nearest integer?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 848954166 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 50, 5, -4.\nAnswer: -7, -4, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -277596484, -277596485, -277596486, -277596487, -277596488, -277596489?\n\"Answer: -k - 277596483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -330 + 740. Suppose 3*p + 418 = 5*g, 0*g = 5*g + 5*p - u. Let k(x) = 2*x**2 + x - 15. What is the remainder when g is divided by k(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 + 20*m**2 + m**2 + 10 + 0 wrt m?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -160055? (a) -1 (b) -0.1 (c) -4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, u: 12, j: 4}. What is prob of sequence uu?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*w**5 + 144*w**4 + 124*w**3 = 0. Calculate w.\nAnswer: -31\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 21212?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:06 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*r + 3 + (1 - 5 + 2)*(3*r + 0*r - 5*r) + (-r + 0*r + 10*r)*(4 - 2 + 4).\nAnswer: 56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 + 122 + (15 + -3 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = 52*u - 5*o, o + 7 = -29*u + 27*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-10)*220\/88*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13180 less than 0.0358536?\nAnswer: 13180.0358536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 9*u - 7*u - 7385, -5*n = -2*u - 12335. What is the greatest common divisor of n and 290?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 2440*n + 7299. Determine g(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11612371.\nAnswer: 727, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 39*b**2 + 7*b + 276. Calculate c(-39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -21 (b) -3 (c) -5552 (d) 1 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*b - 5503 + 5513, 2*y = -b - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 1. Let p(r) = -r - 1. Let w(y) = -2*y - 1. Suppose 6*c + 30 - 18 = 0. Let v(t) = c*p(t) + 2*w(t). What is u(v(i))?\nAnswer: -12*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*n**2 - 52*n + 52*n)*(13*n - 20*n - 9*n + (-2*n + 0 + 0)*(1 + 2 - 4)) to c*n + j*n**2 + b + f*n**3 and give f.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 215, 438, 671, 914, 1167, 1430, 1703?\n\"Answer: 5*j**2 + 208*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30929 + -15728. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11350 divided by -2.\nAnswer: 5675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9*(-10)\/(-60))\/((-6 - -3) + -9). What is the smallest value in 0, 219, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (-6*sqrt(130)*-2 + sqrt(130))\/sqrt(10) - (-5 + ((-6*-2*sqrt(91))\/sqrt(7) + 5)**2).\nAnswer: -1889 - 107*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-3060)*935\/(-5)\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = -3*d - 6, -m = 2*d - 1. Which is bigger: -1\/582 or m?\nAnswer: -1\/582","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 1.2. What is the biggest value in 2, -0.1, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 15 = -3. Let x(h) = -3*h**2 + 37*h - 5. What are the prime factors of x(y)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z + 2. Let j(l) = 5*l - 2. Let q(s) = 2*h(s) + 3*j(s). Let a(p) = -p + 1. Calculate -4*a(k) - q(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 6*r**2 + 6*r - 8. Let x(q) = -q**3 - q**2 - q. Calculate -t(o) - 6*x(o).\nAnswer: 5*o**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11692.49 + -11321. Let l = x + -355. What is l rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*a - 6*a - 43*a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*i - 21*i**2 + 38*i - 79*i + (-7*i**2 + 5*i**2 + 0*i**2)*(0 + 0 + 2) to o*i**2 + d*i + b and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1035 - -1040. Let d(l) be the second derivative of l**5\/20 - 5*l**4\/12 + l**3\/3 - 2*l. Let s be d(r). Solve -b = -3*b - s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66338549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -9. Let t = 0 - s. What is the smallest value in -0.4, t, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - 1 + 1 + (-2*s - 1 + 1)*(6 + 0 - 4))*(-7 - 15 + 4)*(4 + 4 - 6) as g + n*s and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 48. Differentiate -i - 9 - y + 9*i - 9 wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4 - 0. Suppose 0 = z + 2 + 7. Let x = -4 - z. Solve 4*c - 2 = h*v, 2*v - x*v - 25 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c. Suppose -14*p - 84*p = 10*p. Let i(a) be the second derivative of 0*a**3 + p + 12*a + 0*a**2 + 3\/4*a**4. Determine i(y(g)).\nAnswer: 324*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 694 + -693.8. Let i = -21.23 + 21. Let c = -0.01 + i. Put c, -4, h, 1 in ascending order.\nAnswer: -4, c, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 29*q + 163. Let k be f(-5). Solve 0 = 5*h + 4*x - k, 0 = h + h - 2*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 70*b - 104. Determine s(43).\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 13*a**2 - a + 10. Let w be j(13). Calculate the remainder when w\/1 - 27*-3 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 < 201.233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = j + 3264. Calculate the highest common divisor of 144 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228 + 142. Suppose g = -2*g - 96. Let p = a - g. What is p rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 488?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 28*b**2. Let v(r) = 4*r. Calculate h(v(x)).\nAnswer: 448*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 3 (b) 0 (c) -14844 (d) -0.05 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -175 - 11?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(7)*1)*6 - sqrt(77)\/sqrt(44).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) -2\/9 (c) 2 (d) -2\/231 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/8397408 and 67\/2099352.\nAnswer: 8397408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 3118\nAnswer: 2\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -34*c**3 - 19*c**2 - 1159*c + 126. Let d be t(47). What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4402 and 127\/229684.\nAnswer: 505534484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 234265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(2736)*-4 - (sqrt(2736) - (sqrt(2736)*-1 + sqrt(2736) + -1)))**2.\nAnswer: 432*sqrt(19) + 443234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 0 in decreasing order.\nAnswer: 12, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1661 - -1.63944?\nAnswer: 1.47334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1553470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7*p - 11 = -4*p, 10 = -s - 3*p. Are s and -3\/43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/4*9\/(-4)*(-920)\/1035?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -15. Suppose 14 = 96*u - 94*u. Suppose -16 = 3*y - u*y. What is the least common multiple of y and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - q + 18 = 0, 211*d + 210*d + 5*q - 3 = 422*d - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4018?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/4))\/((((h\/(h\/((h*h**(-3\/13))\/h)))\/h)\/h)\/h*h))\/(((h**(-2\/3)\/h)\/h)\/h*h*h*h**(-2\/11)\/h) assuming h is positive.\nAnswer: h**(9145\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 19*b**2 + 35*b - 8. Let r be q(17). Let k be (-847341)\/6*(-12)\/r. Suppose -6*u - 159702 = k. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7*r**2 - 25*r**3 + 5 + 40*r**3 + 7*r**2.\nAnswer: 15*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 8. Let l(k) = -k + 4. Suppose -15*t + 16*t - 3 = 0. Let c(q) = -11*q + 31. Let r be c(t). Calculate r*m(p) + 5*l(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 1. What is x(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b - 24 + 6*b**4 + 29*b**3 + 3*b**3 + 25*b**3 + 72*b**2.\nAnswer: 3*(b + 1)**2*(b + 8)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 - 3)\/(14\/28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d)**(5\/6)\/((d**(4\/11)\/d)\/d)**(3\/17) assuming d is positive.\nAnswer: d**(1097\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1578?\nAnswer: -1\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5\/9, -1\/191 in increasing order.\nAnswer: -5\/9, -0.2, -1\/191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 2*o**2)*(-o**2 + o**2 + o**2) + 3744*o**4 + 39638*o - 39638*o.\nAnswer: 3742*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8 and 2.02883078?\nAnswer: 2.82883078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 4, g: 1, o: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9524587374*w - 9524587374*w + 31*w**2.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*f, 0 = -5*h - 5*f + 21903 - 21968 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-147)*3\/(-58)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210140 and 2560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14128 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, 98, 297, 590, 971, 1434, 1973, 2582?\n\"Answer: -x**3 + 56*x**2 - 62*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*d**3*f**2 + 2*d**3*f + 37*d**2*f + 71*d**2 + 2*d*f**2 - f**2 - f wrt f.\nAnswer: -272*d**3 + 4*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m**6)**20*(m**(-2\/3)\/m**(1\/2))\/(m**(-1)\/m)**(-1\/11) assuming m is positive.\nAnswer: m**(-10649\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(130)*1)\/sqrt(10) - sqrt(208)\/sqrt(4)).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 16. Let o = 15 - 27. Let w(b) = -1. Let j(s) = o*w(s) - t(s). Factor j(f).\nAnswer: 4*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 3*v**4\/4 - 97*v**3\/6 - 11*v**2 + 425*v. Give j(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*u + 17, 4*u + 15 + 1 = 0. Suppose 0 = -2*n + 3 + z. Solve 5 = -n*c - r, -3*c - r - 2 = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 22 = 3*c + n, -3*c + n = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14641, -29191, -43741, -58291, -72841, -87391?\n\"Answer: -14550*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.3243 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18611610403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 10*n**2 + 2*n - 10. Let l(p) = -7*p**3 + 39*p**2 - 7*p + 39. Let a(i) = -4*l(i) - 15*w(i). What is a(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4825*w + 8578*w + 1770*w + 10963*w + 997*w.\nAnswer: 17483*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*y + 197667 = -484*y + 68733 for y.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(sqrt(17) + sqrt(68)\/sqrt(4)))**2.\nAnswer: 12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -15. Let b = h + 3. Suppose 18*a = b*a + 165. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 13*z + 7084 = 0. Calculate the highest common divisor of 594 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -15. What is the tens digit of 12\/t + 163\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 1. Let y be v(-1). Let a(z) = z**3 + 12*z**2 + z + 14. Let t be a(-12). Let u = t + y. Solve 5*w + u = 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000105855 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22724 - 7*r - 92*r + 45447 - 9*r - 22723.\nAnswer: -108*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b8 (base 14) to base 9.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317.\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*z**3 + z + 540 wrt z.\nAnswer: 105*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.183 + 0.017. What is the fourth smallest value in 5, 2, p, -3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 2. Let t = 45 - 41. Suppose t*g - g = -3*s + 6, -4*s - 1 = g. Determine y(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/38)\/((-7586)\/72067)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 10, -1, -4439, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 629154 divided by -48.\nAnswer: -104859\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2848962 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 - 7*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*n - 2*x + 7, 4*n = -2*x + 24. Suppose 145 + 100 = n*f. Solve 0 = 5*m - 10, f = 5*a - 10*a + 5*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**4 + 401*j**3 + 3*j + 4640.\nAnswer: -48*j**2 + 2406*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*a = 2350, -2 = -3*a - 17. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.72, -18\/11, -0.3, -0.22, 3 in decreasing order.\nAnswer: 3, -0.22, -0.3, -0.72, -18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -427391, -427383, -427361, -427319, -427251?\n\"Answer: p**3 + p**2 - 2*p - 427391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - 12) + (511693 - -6) + (2 - 8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/361 and -93\/2888.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u**3 - 58*u**2 - 168*u - 98. Let f(n) = -22*n**3 + 116*n**2 + 335*n + 197. Let l(g) = 4*f(g) + 7*x(g). Factor l(k).\nAnswer: -2*(k - 17)*(k + 1)*(2*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*p, 10*r + 2*p - 4*p - 300 + 127 = -7*p - 128 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 322*r**2 + 107*r - 398. Determine o(107).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/6 + 636\/8. Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.026 + 14. Let u = -4.274 + n. Let r = 0.9 + u. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 801\/27 - 2\/(-6). Let x = 1 + 5. Calculate the highest common factor of x and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 15967 = 5*u - 73647. Calculate the highest common factor of u and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 + 305202*h**2 - 170387868*h + 23716141080 = 0. Calculate h.\nAnswer: -102290, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-7 - (2 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -59, -0.3, -2\/3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.525 - -7.44. Let m = 12.91756 + -0.00256. Let x = m - p. Sort x, -1\/3, 0.2 in decreasing order.\nAnswer: x, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w + 1. Calculate v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22173 = 33*g + 234076 - 3049006. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 976\/7. Let b be 1\/(-4) + (-153)\/(-324). What is the smallest value in b, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/4)\/((-88)\/1100*(-10)\/(-8))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h*h*h)**(1\/7)\/((h*h\/h**(4\/19)*h)\/((h*(h\/((h*h*h*h**(-16))\/h))\/h*h)\/h*h)) assuming h is positive.\nAnswer: h**(1776\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5388128 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 1, 794, -17, 2, 4 in decreasing order.\nAnswer: 794, 4, 2, 1, -1, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 33*j + 28*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18153802, -18153801, -18153800, -18153799, -18153798, -18153797?\n\"Answer: i - 18153803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -5062764?\nAnswer: 5062764.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33182 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -20*n + 21. Let s be i(-6). Let x = s - 1411\/10. Which is the third smallest value? (a) x (b) 2\/9 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = a + 5*g, 0 = 5*a + 2*g - 3*g + 109. Let o(k) = -3*k**3 + 3*k**2 - k + 2. Let y be o(2). Let s = y - a. Solve -d = d + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -44*x + 1484. Determine o(38).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/3783?\nAnswer: -7\/3783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.058 in -0.1, 0.3, -13\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**3 - 441*l**2 + 156816*l - 156372 = 0.\nAnswer: -314, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*1*60\/35. Let t = -8 + z. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 24 (c) 60 (d) -0.1 (e) 4.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 220153*m**3 + 220147*m**3.\nAnswer: -6*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/15 + 162*s**3\/5 + 1058*s**2\/15 - 6418*s\/5 + 2352 = 0. What is s?\nAnswer: -8, 3, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + g + 0 = -5, 2*d + 4*g + 10 = 0. Let o(a) = -3*a + 1. Let q be o(d). Which is smaller: -17 or q?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -1364*s**3\/3 - 3*s**2\/2 - s + 2. Let q be p(3). Let w = q + -714. Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 7.49. Let h = -6 + z. Let b = h - 1.4. What is the smallest value in -2\/11, 0.3, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1179\/1572*15\/(-9).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5434\/78 - 2\/3?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*-1*sqrt(80).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 12. Let q be i(3). Suppose 5*x - 5*a = 0, -q + 18 = 5*a. What is r in -14*r**2 - 22\/3*r - 4\/3 - 34\/3*r**x - 10\/3*r**4 = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s - 12. Let z(h) = h**2 + 21*h + 144. Let f be z(-13). What is the highest common divisor of s and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2736.7 - -2737. Let p = 0.4 - 0.3. What is the nearest to p in -0.6, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f*h**4 + 479*f - 69*h**4 - h wrt h?\nAnswer: 72*f*h**2 - 828*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 524, 1048, 1572, 2096, 2620?\n\"Answer: 524*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003476887098 to seven decimal places.\nAnswer: -0.0000348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 234190814 divided by -19877\nAnswer: -11782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1812*v - 1725?\nAnswer: 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13))**(-2\/57) assuming x is positive.\nAnswer: x**(26\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-156 + 226 - 114)*(-5*v + 0*v - 2*v) in the form t*v + l and give t.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnmsmlnxll. What is prob of sequence mnsl?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u + 3*u + 3*j, -j - 3 = -4*u. Let d(b) = -2*b - 1 + 0 - 2*b**2 + 2. Give d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/7 + 2\/(-7). Let w be (4 - (n + 2))*-1. Is -2\/5 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 10 (c) -0.0244 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 42 = -k + 3*h, 4*k = -2*h + 182. Let x = 87 - k. Let m be ((-4)\/14)\/((-54)\/x). Is 1 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226058287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 2001 = 9000. Let y = -520 - t. What is the remainder when 353 is divided by y?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*z**3\/9 + 110*z**2\/9 + 64*z\/9 - 8\/9 = 0. What is z?\nAnswer: -2, -1, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. Let d(u) = u. Let n be d(v). Let t(p) = -3*p + 5. Give t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099737.\nAnswer: 3, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/9 - -3 - -5. Which is smaller: 27 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 - t**2 - 3*t. Let l be i(5). Let j be -2 - 1\/(2\/l). Which is bigger: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*a - a = 19, -4*h = 3*a - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1570 - 2483. Let a = 1448 + z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/6)\/(11\/(-99)). Solve -2*p + 5*g = b, -2*p - 3*g + 0*g = -2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1775 and 375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Suppose -2*q - 8 = -2*f, -4 = 5*f + m*q - 6. Solve -f*p = -p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.722572 centimeters?\nAnswer: 77225720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2\/2 + 98940*o + 1187064 = 0.\nAnswer: -65948, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62540625 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 18*j + 51. Let m be p(-29). Is m + ((-12 - 0) + 4)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -2*r**4\/3 + r**3\/6 + 10*r. Determine z(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11600 - 11599.994217. What is s rounded to 4 dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d03 - 2513?\nAnswer: -7216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*a = 25 + 17, -3*w - a = -73. Solve 2*u = 5*q - 30, 0 = -0*u + 5*u + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = -4*h - 20, 4*g - 5*h = 28. Let j(o) = 2*o**2 - 3*o. Let m be j(g). Solve 0*t - 2*c = -m*t + 20, -2*t = 2*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 50 = 5*s, s = 2*i + 2*i - 15. Suppose -171 = -s*j + 3*w + 97, -3*w + 124 = 2*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 2. Let k be y(8). Let n be ((-12)\/9)\/(2\/k). Suppose 6 = n*q - 14. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 270 = -2*u. Suppose a + 7*i = 92, 4*i + 151 = -101*a + 104*a. Solve u*m - a*m = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -581, -1321, -2365, -3719?\nAnswer: -5389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 6 - 3)*(173*b + 48*b**2 - 173*b) in the form t*b**2 + a + p*b and give t.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 at least as big as 1\/7538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 20*r**2 + 11*r - 8. Let w be u(10). Let b be (-1 + (0 - 0))*(102 - w). Solve 0 = -b*q - 5*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-25) - 4\/20. Suppose 9 = 3*o + v, k = -2*o + 5*v - 10*v - 7. Is o*((-2244)\/(-16) - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 - -2.69. Round k to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -73, -88, -81, -46, 23, 132, 287?\n\"Answer: o**3 + 2*o**2 - 44*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -38, -38, -20, 22, 94, 202, 352?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 15*k - 69. Suppose 0 = 5*q - 5 - 5. Solve -q = k*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1036435 (base 10) in base 9?\nAnswer: -1848644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 7*j + 4. Let m be 1\/(-1) + 12 + 3. Suppose -8 - m = 4*q + 2*p, 5*q + p + 26 = 0. What is the units digit of z(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -846, -794, -646, -354, 130, 854?\n\"Answer: 8*r**3 - 4*r - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 1997*w - 23*w - 284*w - 305*w**2 - 2200.\nAnswer: 5*(w - 55)*(w - 4)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 = -34*f - 91 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/12033 and 74\/8534835?\nAnswer: 59743845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65169.\nAnswer: 3, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7111 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 347688205*a*r - 687601565*a wrt r?\nAnswer: 347688205*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = 5. Factor 5*p**3 + 8*p**2 - 4 + c + 1 + p.\nAnswer: (p + 1)**2*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36*(-25)\/(-68100))\/(1*6\/(-4)).\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -6656\nAnswer: 931.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c - 5 + 5)*((0 - 5 + 3)*(0 - 2 + 3) - 9 + 33 - 8)*(3*c**2 - 13*c + 13*c).\nAnswer: -462*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/200 and -17\/800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*x**2 + 7*x**2 + 2*x + 16*x**2 + ((38 - 39 + 38)*(9*x - 14*x - 10*x) + 0*x - x + 0*x)*(1 - 1 + 2*x) in the form h*x**2 + o*x + d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 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: Calculate prob of sequence mj when two letters picked without replacement from {h: 5, j: 1, m: 3, s: 3, d: 1, v: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 438534 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3296837 is divided by 34342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6172 less than -30866\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + ((-1)\/3)\/(65\/(-11310))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 3, f: 2, t: 8, d: 4}. What is prob of picking 1 f and 1 d?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1326089891 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2337 - 2337. Solve c = -48*a - 22 - 170 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from cccwcwwwcclcc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m + 229. Calculate x(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/10)\/(-1) + -3. Let p = -6059\/9 + 673. Which is the second biggest value? (a) -2\/5 (b) s (c) p (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2. Let w be m(-1). Let z be w\/((3 + -2)\/(-1)). Factor -2\/7*d**3 + z*d + 0 + 0*d**2.\nAnswer: -2*d**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431269800 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: b\"What is the pth term of -287, -289, -291?\n\"Answer: -2*p - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*(-60)\/6. Suppose d - 100 = -x*k, 157 = d + 3*k + 49. Let b(p) = 19*p**2 - 2*p. Let t be b(-2). What is the greatest common factor of d and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (6 - 0 - -8). Solve z = 2*r + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 40 = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 583.8 + -584. Put 3\/5, 2, -2\/19, b in descending order.\nAnswer: 2, 3\/5, -2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 9}. What is prob of sequence ca?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131\/714 + 2\/119. Sort 0, h, 5, 1 in descending order.\nAnswer: 5, 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**5 - 4*g**3 - 16*g. Let p(k) = -k**3. Let h(j) = 4*p(j) - z(j). What is the second derivative of h(a) wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2 - 125*n - 17*n - 13*n. Let l be h(-2). Let q be ((-60)\/(-300))\/(2\/280). Calculate the highest common divisor of q and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77662552 rounded to 4 dps?\nAnswer: 0.7766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*r - 1397 = 473*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 34. Solve 2*g + 2 + a = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089895 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178c8 (base 13) in base 16?\nAnswer: 11b0a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z - 4. Let v be h(-4). Suppose -14 = -2*r + v. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005529267 rounded to five dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -5. Let i(p) = p**3 - 5*p**2 - 3*p - 7. Let f be i(g). Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*x**4 + 3387*x**3 - 11603*x**2 - 6.\nAnswer: -648*x + 20322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -18, -36, -72, -132, -222, -348, -516?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 7*i - i + 81 = 16*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.8 take away 132.431149975?\nAnswer: -296.231149975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*v + 5*r, -2*r = -3*v + r + 6. Let j be 12\/(v\/4 - (-42)\/24). Let h be j\/(-5)*(-15)\/6*3. Solve n + h = -n + w, 0 = -3*n - 5*w + 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170*b**2 + 4*b**3 + 1170*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*s = 3*s - 19, 0 = -5*c + s + 29. Solve n = -c + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 18*w**5\/5 + 21*w**4\/4 + 2*w**3 + 714. Factor a(g).\nAnswer: 3*g**2*(2*g + 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156 (base 7) to base 3\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - ((-76)\/1)\/4. Suppose 18 + i = 4*d. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152555 by 152555.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -49.1 and -0.002393479664.\nAnswer: -49.102393479664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*o**2 + 9*o - 135\/4.\nAnswer: 3*(o - 3)*(o + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 - 7*o - 6. What is y(-7)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 - 7 = -k, 0 = 5*z + 4*k + 14. Let p(w) = -w**2 - 9*w - 6. Let c be p(z). Calculate the greatest common factor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*b*r*s + 5*b*r*t**2 + 2*b*r*t + 2*b*s + r*t + 4*r - 5*s*t wrt t?\nAnswer: 10*b*r*t + 2*b*r + r - 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (-3 + (0 + sqrt(68) + -5)**2)*-5.\nAnswer: -449 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*y = -40, 0*y = 3*y. Let i = -3 - -4. Let b be -1 + ((-219)\/i)\/(-3). What is the highest common divisor of b and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m + p, m + 4*m + p = -12. Let l(n) = 7*n**2. Let x(g) = 6*g**2. Let b(w) = -4*l(w) + 5*x(w). What is the units digit of b(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/752 and (3668\/(-224) - -25)*(-1*2)\/(-94)?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5*(sqrt(190)*-1 + sqrt(190)) + sqrt(190) - sqrt(190))\/sqrt(10) + (1*sqrt(19)*-2)**2*-2).\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 54. Let x = 31 - q. Solve -x = i - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351521 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*l**3 + 57*l**4 - 140*l**3 - 556*l**2 + 57*l**3 - 622*l**2 + 44*l**3 wrt l?\nAnswer: 1368*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*o + 5*x, 5*x - 19 = o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 0*p**4 + 0*p**2 + 0*p + 1\/15*p**5 + 3 - 1\/9*p**3. Solve g(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let t(o) = -412290*o**2. Calculate j(t(s)).\nAnswer: -169983044100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 - 27218*v**2\/7 + 108840*v\/7.\nAnswer: 2*v*(v - 13605)*(v - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-375)\/20) + (-182)\/(-35)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a, -5*g + 11736 = 5*a + 2391. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 111 + 130 - 255 - h**3 - 47*h**2 to c*h + x*h**3 + o + m*h**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.26 (b) 0.1 (c) 4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 11, h: 1}. What is prob of picking 3 u?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14006, 13839, 13654, 13445, 13206?\nAnswer: 12931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 17, -3, -2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 14. Calculate the remainder when 106 is divided by f(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -29*i - 21. Let v = 11524 - 11528. Give q(v).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 19 = -15*b + 10*b, 5*b + 5*c = 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 4*t**3 + 64 + 137*t**2 - 137*t**2.\nAnswer: 4*t**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, n: 1, y: 1, b: 1}. Give prob of sequence bnh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**3 + 13*w**2 + 9*w + 14. Let o(g) = -3*g**3 + 7*g**2 + 4*g + 7. Let u(v) = -2*h(v) + 5*o(v). Is 17 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1 + 4 - 19*q**3 + 5*q + q**3 - 1 + 3*q**2. Let h be m(-2). Suppose -10*r + h = -5*r. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18351 is divided by 4540?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 111 + (-9)\/18 + 3\/6. Let b be (-3)\/(-2)*(-16)\/(-6) + 33. Calculate the greatest common divisor of b and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, n: 1, f: 2, e: 3, k: 7, j: 1}. Give prob of picking 2 e and 1 h.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 2*t - 3*t - t - 3*t + 2*t - t + 2*t - 2*t + (0 + 0 - t)*(-3 + 3 - 2) + (1 - 6 + 1)*(9*t - 4*t + 6*t)*(-2 + 1 + 3).\nAnswer: -91*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 2, q: 5}. Give prob of picking 1 x and 1 q.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0*c**2 - 2*c + 2\/3*c**3 + 0. Let p(l) = 21*l + 17*l - 56*l + 15*l. Give h(p(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52602462 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17149 + 17149 - 111*u**3)*(u - u - u**2).\nAnswer: 111*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64212, 128370, 192478, 256542, 320568, 384562, 448530, 512478?\nAnswer: 576412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {p: 1, b: 2, i: 1, q: 2, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (63\/(-15))\/((-5)\/(-75)). Let g be c\/126*(-1 + 2\/14). Let r be 3\/(-12) - 34\/(-8). What is the smallest value in g, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-1120)*(-35)\/126.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322327 divided by -18.\nAnswer: -322327\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w - 1\/60*w**5 + 3*w**2 + 0*w**4 + 0 + 2*w**3. What is the units digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330657 or 0?\nAnswer: -330657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*x = 750*x - 1958 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10978 and 0.2.\nAnswer: 2195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2431 and 76\/1989.\nAnswer: 21879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (1 - -28)*-391*981\/(-981)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (-2 + 4*((sqrt(832) + 1 - sqrt(832)) + -4 + 1))**2).\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 2*x - 3. Let w be j(4). Suppose w*p = -17 - 3. Let r = 4 + p. Solve -m - m = r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -58 + 22 + 1 + 29.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*o**2 + 365*o**3 + 58*o + 57*o - 115*o - 41*o**2.\nAnswer: 365*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - (-1 - -9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*b + 14*b + 4*n, -2*b = -5*n - 3. Solve b*v = -6*v + 50 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - 8) + 35 + 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24412551 + -1004?\nAnswer: 24411543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.5603446 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i + 2*i + 26 + 19 - 15*i + 0*i. Give s(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36353 bigger than -36404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 3, h: 1, v: 2}. What is prob of picking 1 t and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(2016\/306) - 2) + 706\/(-14)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 + z**2 - 6. Let h(n) = -1 + 0*n**3 + 3*n**2 - 4*n**3 + 5*n**3 - 4*n**2 + 0*n**2. Give -c(w) + 5*h(w).\nAnswer: -w**3 - 6*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 84. Suppose 5*t = m - 7, 3*m + m = k*t - 8. Which is smaller: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 19*f**2 + 39*f**2 - 73*f**2. Let i(o) be the second derivative of 0*o**2 - o - 1\/12*o**4 + 0*o**3 + 0. Calculate i(l(g)).\nAnswer: -225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -3*c - 245 - 113 - 318 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*q + 22. Let j = q + 19. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3355 + 3343. Let v(h) = -h**2 - 7*h + 28. Give v(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1 - 8*b + 1 + b. Let j be z(-2). List the prime factors of (-2 + -1)\/((-12)\/j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*r = -5007, -11*k + 12*k = -6*r + 1725. Calculate the remainder when 5059 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let w(o) = o**3 + 6*o**2 + 4*o - 1. Let z be w(-5). Let d = -55 - -84. Solve 3*s = -z*m - d, -2*m - 2*m = -t*s + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**3 + 3*f**2 + 12*f - 6. Let b(g) = g**2 - 2*g + 1. Calculate -6*b(s) - d(s).\nAnswer: 6*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m = -2191 + 1768 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:22 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + y**5 + 0*y**5 - 3*y**5 - 2*y + 2*y + (y - y - y**2)*(-2*y + 2*y - y**3) - y**5 - y**5 + 4*y**5.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 16 = 4*t. Suppose -6*q - 199 = 395. Let v = q + 100. Calculate the greatest common factor of t and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*y = 35, y = 50 - 44 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -806, -3019, -6714, -11897, -18574, -26751, -36434, -47629?\nAnswer: -60342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10db - 1?\nAnswer: -10dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 35815908.8 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/3, -24, 17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(15\/10))\/((-115)\/46 + 94\/28)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 134\/7. Let j = -0.1 + -4.9. Suppose 0 = t - 3*t + 2. Which is the second biggest value? (a) t (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 399804 - 399802. Let 4\/5*q**k + 12\/5*q - 32 = 0. Calculate q.\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/14)\/(-69 + (-25521)\/(-329))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*t + z - 147490 = 65*t, 5*z + 147478 = 4*t. What are the prime factors of t?\nAnswer: 2, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 - (-7 + -3) - (-69 + 103).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*s - 1725, 3*s + 5127*j = 5132*j + 1334. Solve -419*w = -s*w + 84 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/5 + 800*k**4 - 2396*k**3 - 800*k**2 + 11982*k\/5 = 0.\nAnswer: -1, 0, 1, 3, 1997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -2\/7 (b) -4 (c) 1.8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 0*m**2 - 4*m**2 + 7*m**2 in the form q + f*m**2 + i*m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*o - 15*o + 48*o**5 + (-3*o**4 - 2*o**4 + 3*o**4)*(-6*o - 4*o + 8*o).\nAnswer: 52*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 + 269*x**2\/4 - 416*x + 1095\/4 = 0.\nAnswer: -73, 3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + u + 56. Let j be g(-5). Let z(y) = 2*y - 2. Give z(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 315*m**2 + 8*m + 6. Give b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -35532114535?\nAnswer: -35532114541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3 + 3 - 3*n. Let s = 872 - 871. Let j be b(s). Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let k(d) = d**2 + 2*d + 3948. Calculate k(j(a)).\nAnswer: 4*a**2 + 4*a + 3948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 76966.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 1487*w**2 + 10537*w - 1256. Determine q(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 5*h**2 + 7*h + 4. Let d be q(-4). Let t(u) = u + 8. Let w be t(d). Let c be 3 + (-2)\/2 - w. Put -5, c, 4 in ascending order.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7718, 15051, 22400, 29771, 37170, 44603, 52076?\nAnswer: 59595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**3 - y**2 - 2*y - 1. What is o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**5 - 3*a**4 + 4*a**3 - 3*a + 3. Let n(z) = z**5 - 2*z**4 + 3*z**3 - 2*z + 2. Let t(g) = -4*c(g) + 6*n(g). Factor t(i).\nAnswer: -2*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7662 and 14047.\nAnswer: 84282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63519280.3999635 - 63519265. Let d = h + -15.4. What is d rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003767 rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 8 - (45 + -48) - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + 1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clcccmccccmmml. What is prob of sequence mccl?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7909827.\nAnswer: 3, 2636609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 3*d + 2*x + 175, x + 6 = -2*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let d = 7.7 - 8. Is d > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**5 - 284*p**4 - 6172*p**3 - 40612*p**2 - 96224*p - 61504 = 0.\nAnswer: -31, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1187 - 1184 = 0. What is the smallest value in f, 0.1, -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70361?\nAnswer: 71, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 + 0*r**3 - 2*r**3 + (-r**3 + r**3 + r**3)*(-5 + 2 + 4) - r**3 - 2*r**3 + 5*r**3 + 4522*r**2 - 9047*r**2 - 274*r**3 + 4525*r**2.\nAnswer: -269*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.68608 to 1 decimal place.\nAnswer: -36.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j + 2. Let s(g) be the first derivative of -g**3\/3 + 4*g**2 - 1. Let k be s(7). Suppose 0 = k*i + 10 + 11. Determine m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 - 2179*w. Let d(c) = -894*c. Give v(d(g)).\nAnswer: 799236*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4525*v**2 + 5723?\nAnswer: 9050*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6276\/11506*(-33)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.075 to 3 decimal places.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*a - m + 4*m, 5*a = m + 22. Suppose 0 = a*f - 12*f + 2000. Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1040 divided by -5\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*r**2 + 20\/3*r**3 + 2\/3*r**4 + 0*r.\nAnswer: 2*r**3*(r + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/262 and -127\/71448?\nAnswer: 9359688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17029 or -17028?\nAnswer: -17029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:28 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(7) + -1) + sqrt(7) + sqrt(112) + 1 - (-1*sqrt(28) + 2) - -3*1*-5*(sqrt(700) + 1))**2.\nAnswer: 4060*sqrt(7) + 147371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -397 - 34. Let m = j - -427. Which is the second smallest value? (a) m (b) -1\/43 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -17*y**2 - 47*y**2 - 3381 + 3381. Let z(a) = -2*a. Give z(u(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559 = -4*l + 571 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1040 + 2216 = 4*p, 3*g = -3*p + 2457. What is the remainder when p is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 2. Let k(t) = -t**3 - 2*t**2 + 8*t + 4. Let h be k(x). Suppose 7*b = 4*b + h. What is the greatest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-343)\/(-196)*-1 + (-2)\/8*-3. Which is smaller: d or 7\/2153?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 12. Let f be l(-5). Suppose -f*t + 356 = -3*t. Let r = t + -58. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 831 * 19.\nAnswer: 15789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1542028\/3 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -8. Let u = t + -5. What is the third derivative of -2*p**u + p**4 + 3*p**2 - 1 + 1 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - m + 2. Suppose 0 = h - 5, 23 = -b + 2*b + 5*h. Let k be w(b). Let l be (-1 - k)*(2 - 1). Solve -14 = -s - l*i, 0 = s - 5*i + i + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t - 33 = 0. Let p(k) = k**2 - 11*k + 5. List the prime factors of p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13428 divided by -4476\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/18*-3*-6. Solve p = -2*l - 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-1506)\/27*11. Let g = p + 613. Calculate the common denominator of g and 5\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3210 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/18)*(t\/(t*t**(-2\/27)\/t*t))\/t*(t*t\/(((t\/(t*t**(9\/8)*t))\/t)\/t))**(2\/41))**(2\/59) assuming t is positive.\nAnswer: t**(-3023\/130626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 374, 564, 756, 950, 1146, 1344?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1249*o**3 + 561*o**2?\nAnswer: -7494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 38. Let l be u(-17). Let s = l - 73. Let a = s - -158. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -28.8. Which is the second smallest value? (a) h (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 5*u + 22. Let d(k) = -11*k + 4. Let f be d(0). Is 18 a factor of x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, i: 3}. Give prob of sequence zi.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -275.3390624 to zero decimal places.\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291181.\nAnswer: 31, 41651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230979 is divided by 2333.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/3 + 7*m**2\/2 - 2*m + 1. Let r be d(6). Solve g + 3*g = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 24*a**2 + 87*a - 139. Determine j(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.87976 times -5?\nAnswer: -54.3988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 78844*y + 1103809. Give t(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6936 - -6938. Suppose 5*o + 3*j = 430, 3*o + 5*j - 430 = -2*o. Suppose 0 = v + 3*g - 138, -s*g + 493 - o = 3*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -35*a**5\/6 - 55*a**4\/2 + 85*a**3\/6 + 55*a**2\/2 - 25*a\/3 = 0.\nAnswer: -5, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3049 + 24\/(-16)*16\/24 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = a + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 54*t**2 - 8464*t - 1962. What is d(157)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-55) + (7391736\/4840)\/61?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*s - 46, -2*z - 35 = 5*s + 21. Let c be ((-8)\/6)\/(2\/z). Let o = -5 + c. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*q**2 - 55*q**2 - 109 + 5875*q**3 + 201 - q**4 - 92 to the form x*q**2 + u*q**4 + i*q + r*q**3 + a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1781 or -1782?\nAnswer: -1781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*s = 25063 + 42492. Let l = s - -175. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -34. Let k = v + 17. Suppose 0 = b + h + k*h - 391, -5*b - 4*h = -1911. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578\/(-230) - (-4990)\/(-57385).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.117 + 0.1. Let l = -10668 - -10667.617. Let a = v + l. What is the closest to 0 in a, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 4*j**2 + 65*j + 261. Let d be c(-4). Suppose z + 5*u - 9 = 0, 4*u + 11 = 3*z + 3*u. Sort -23, 2, d, z in ascending order.\nAnswer: -23, d, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 4*d**3 - 2*d**3 + d - 3*d**3 + d**2 to v*d + c + w*d**3 + z*d**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1\/30*a**6 + 1\/15*a**3 - 2 + 0*a**2 + 0*a - 1\/25*a**5 + 1\/20*a**4. Let y(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -448410 - 76?\nAnswer: -448486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 2281566.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10192 - -10201. Solve -3*c = -3*y - 6, -8*c + i*c = 5*y - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.4 (b) -9439.43 (c) -4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*y - 4, 5 - 33 = -r + 4*y. Suppose i - r = -i. Solve l + i = -3*m, -2*l + 3*l + 5*m + 10 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Let l be 3 + h + -7 + 2822. Suppose m - 4700 = -5*y, -3*y + l = -0*y - 2*m. Round y to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 170*a + 2227. What is f(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400756 is divided by 649?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7.88. Let q = d - 2.7. What is q rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r + 1. Let a = 27 - 25. Let c be h(a). Solve 0 = 5*w - c*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 4*n**2 + n + 1. Let a be w(4). Let i(y) = 3*y - 10. Let k be i(7). Solve -o - 2*l - 7 = -l, o - a*l = k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032119922 rounded to 6 decimal places?\nAnswer: 0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 219\/9 - (-6)\/(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2411.61366 + 0.31366. What is a rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 848 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 59*t - 401. Let o be x(25). Let f(l) be the first derivative of 6*l**3 + 5. Let h(q) = q**2. Give o*f(w) + 9*h(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2. Let v(m) be the second derivative of -m**3\/6 - 5*m**2 + 7*m. Give -2*v(q) - 11*y(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 155*t - 150*t - 58 = 0, 116 = b + 13*t - 70 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6224 + 408*h - 6224 - 1 + 2*h + 1 + (2*h + 2*h - 5*h)*(4 - 3 - 2) + (4*h - 7*h - 13*h)*(-3 + 3 - 1) + h - 4*h + 2*h)*(-3*h - 3*h + 5*h).\nAnswer: -426*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105747 and 909?\nAnswer: 317241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -4) + 7)\/(14 + -8)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -11 (b) 5\/3 (c) -0.22 (d) 3\/2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*v + 5297 = 5280, 2*w = -v + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2787\/7 - -396. Which is smaller: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)\/(1\/2). Suppose -2*d - d - 3*v + 183 = 0, -s*v = 4*d - 234. Let z = d + -27. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -77. Which is the fourth smallest value? (a) 0 (b) -1\/7 (c) -0.3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - p = 0, 10 = 5*u - 78*p + 73*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2 - -1 - -11). Let a be (-44)\/y - 3\/(-5). Solve -7 = -4*d + 4*q + 17, -3*d = -a*q - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Suppose q*s - 13 - 7 = 0. Suppose s*c - 2 = 2. Solve -2*f + 5 = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/2)\/(4\/8). Let v = 14 + h. Is v < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*g + 6 = -46, -4*g = o - 6. Let t = o + -6. Suppose -2 = 3*x - 4*n, 0*n + 2*n - 2 = 2*x. Sort t, x, 1 in ascending order.\nAnswer: x, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 74 = -5*u. Let t = u - -75. Solve -o + t = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - n + 3*n)*(2*n**2 + 3*n**2 - 4*n**2) - n**3 - 4*n**3 - 5*n**3 + (3*n**2 + 2*n**3 - 3*n**2)*(-2 + 0 - 1).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-120)\/(-36))\/((-2)\/(-39)). Calculate the highest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 10. Suppose 2*t + 2*o = -0*t + 26, 0 = 2*t + o - 21. Let m be 3\/(t*3)*-2. Which is the closest to 0.1? (a) h (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 a factor of 500130701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -181878533 and -122130?\nAnswer: 181756403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -710470 and -710404 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 8 - (-9 + -4 + (25 - (0 + -9)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 48 - 80 + 95 to the form h + c*j + a*j**2 and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 52103 - 19231. Suppose 2*g - 17870 = h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/11, 30, 0.0466, 4\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**2 + 9*s**2 - 21*s**2)*(27*s**3 + 328*s**3 + 45*s**3 + 113*s**3).\nAnswer: -11799*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3971 or -623?\nAnswer: -3971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8.1, 4, 1\/3, 40988, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, q: 4, a: 3}. What is prob of picking 2 a and 2 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 7. Let s be k(5). Let i = s + -65\/2. Let r = -62.3 - -62. Which is the third smallest value? (a) i (b) -0.07 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and (39 + -27)\/(-3 + (-36)\/(-8)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70841.15l?\nAnswer: 70841150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -27. Suppose 0*i + 5*i - 20 = 0, -r*y + 1600912 = 4*i. Suppose 3*x + y = -15279552. Round x to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*b**3 - 2 + 2.\nAnswer: -308*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 2, w: 6, c: 1}. What is prob of picking 1 c, 1 v, and 2 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6701*k - 4 - 2236*k - 2223*k - 2219*k.\nAnswer: 23*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2247*d**6 + 20*d**3 - 101930*d**2 wrt d?\nAnswer: -269640*d**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -0.4 (c) 3 (d) -0.2 (e) -3\/2 (f) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64 - 50 - 2*r**4 - 10662*r + 10700*r wrt r?\nAnswer: -8*r**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15168, 15228, 15362, 15576, 15876, 16268, 16758?\n\"Answer: l**3 + 31*l**2 - 40*l + 15176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(95)\/(sqrt(20)\/sqrt(4)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3059 and 687415421.\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/12 + 3*s**3\/2 - 3*s**2 - 3*s. What is the units digit of o(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:20 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-5*p + 3*p + p)*(-17 + 6 - 5) in the form k + a*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-5 - 8) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 2, d: 1, p: 2, b: 1}. What is prob of sequence bq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4480*c*t**2 + 2*c*t + 89*c + 14 wrt t?\nAnswer: 8960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {h: 2, g: 1, b: 4, p: 8}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95.2 + -124. Let f = -29 - a. Let o = 0.9404 + 0.0596. What is the nearest to f in -3\/8, o, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/349828 and -65\/152?\nAnswer: 699656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -223, -2, 0.0502, 4.\nAnswer: -223, -2, 0.0502, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319892.7ms to microseconds.\nAnswer: 319892700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*i - 2, -2*i = 7*s - 2*s - 18. Let x be -12*s*1\/(-4). Let j(f) = 6*f - 9*f - x*f. Let b(w) = -2*w**2. What is b(j(z))?\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 14*q**2 + 4*q - 31. Let j be k(-10). Let w = j + -161. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/31988 and -77\/27152.\nAnswer: 217134544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21872 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90362?\nAnswer: 2, 45181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*j - 2*j - 18*j to the form f*j + y and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/8 (b) -3\/8 (c) -2\/5 (d) 2\/7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 2 + 23 - 1 + 3.\nAnswer: -8*a + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79940 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*64\/832 - (1*100 + 9\/(-3)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 9}. What is prob of sequence kwk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da6 + 592?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67.209 and -2849.\nAnswer: -191478.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3154b (base 12) to base 7\nAnswer: 356450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 327.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/2*(48\/15)\/4. Is (-6 - -1) + b + 739 + 7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -4\/3, -64248 in increasing order.\nAnswer: -64248, -5, -4\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-2) + 2\/3. Let a = 7.4371 + -12.4371. Let t = -2.9 - -3. What is the closest to o in -1\/3, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*2\/(-12)*-9. Let i(c) = c**3 + 7*c**2 + 5*c - 3. Let r be i(x). Let y = 11 - r. Solve 4*p + 12 = 0, f + 3*f + y = 4*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 11:50 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 4, t: 2, e: 2, i: 2, y: 2}. What is prob of picking 2 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312 (base 4) in base 2?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3159807 or 0?\nAnswer: 2\/3159807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 28*c - 27. Put -76, 0, 2, c in increasing order.\nAnswer: -76, 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5197245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-k + k - 2*k) - 2 - k + 2 - 365*k + 367*k - 131 - 30.\nAnswer: 3*k - 161","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -381*u - 2291. Determine x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by 58\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6 - 2. Suppose 4*f + y*v = -6, 3*f - v = -2*f - 25. Is (158\/(-8))\/(1\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 0.3, 1\/14 in increasing order.\nAnswer: -0.14, 1\/14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d + 94d189?\nAnswer: 94d14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 25*d + 471. What is n(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 570 - 437. Let w = -122.3106 - -0.1106. Let c = x + w. What is c rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458929391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -30 + (5 - 2). Let s = 44 + m. Calculate the highest common factor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10))**32 assuming q is positive.\nAnswer: q**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 81 = 111. Let f be (38\/(-4))\/((-8)\/z). Let h = 92 + f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 88 = -11*v. Calculate the remainder when 84 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 809*b**2*c**2 - 85*b**2*c + 2*b**2 - b*c**2 - 2*b*c + c**2 - 3*c + 3333 wrt b.\nAnswer: 1618*c**2 - 170*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5 + 4. Suppose 0 = 2*j + 4*l - 2*l, -3*j + 5*l - 8 = 0. Is j bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130827511621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t - 24*t + 504. What is the highest common factor of 39 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7752, -15941, -24144, -32373, -40640, -48957, -57336, -65789?\nAnswer: -74328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343279515 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42\/5 (b) -13 (c) -2\/17 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -0*i, f = 5*i + 455. Let j = -319 + f. Does 36 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1804630 and -53\/721852.\nAnswer: 3609260","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3*24\/(-16))\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102212111 (base 3) to base 13\nAnswer: 3c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00487 rounded to 4 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -15*q + 19*q. Suppose -q*f = -25*f + 336. What is the remainder when 109 is divided by f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130417964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.013 - -26.987. Let g = h + -28. Which is the nearest to g? (a) -3 (b) 0.01 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 52646057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -29. Let n be (a - -12)\/(1*-1). Is n equal to 4\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/198 and -169\/19908?\nAnswer: 218988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001100101100110101111 (base 2) in base 4?\nAnswer: 201211212233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 345, -2397.\nAnswer: -2397, -3, 4, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.3 + 19. Let q = w - 0.7. Let t = -1 + q. Does -0.2 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086164 rounded to three decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i*i\/(i\/(i**(2\/3)*i)*i)*(i\/(i*i*i\/i**0)*i)**(-3))**(1\/13) assuming i is positive.\nAnswer: i**(-1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.22. Let c = f + 0.07. Round c to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x - 3. Let w be j(1). Solve 5*f + v = -4*v - 5, -w*v - 2 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6*(-2)\/(-21))\/((-116)\/(-406)). Determine l, given that -4\/5*l**r - 36\/5 + 24\/5*l = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otl when three letters picked without replacement from {d: 6, g: 3, t: 2, o: 2, u: 1, l: 4}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {y: 2, j: 7, p: 3, r: 1, d: 4}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*x - 13 = 0, 2*j + j + 5*x = 39. Suppose -78*q - 600 = 33*q + 9*q. Sort j, 4, -2, q in ascending order.\nAnswer: q, -2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/15 + z**4\/24 + z**3\/2 + 3*z**2. What are the prime factors of b(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from jgggggggjggj?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 4*w**3\/3 + 5*w**2\/2 - 14*w - 35. What is the hundreds digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 1, u: 4, w: 1, v: 2, s: 1}. What is prob of picking 1 u, 1 j, and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13233 - -4304?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + 5*r**2 + 3*r. Let q(p) = -9*p**3 - 10*p**2 - 5*p. Determine 5*f(z) + 3*q(z).\nAnswer: -7*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(12\/(-8))\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7879*r**2 + 67*r - 68. Is m(1) a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1271 + 10189\/8. Find the common denominator of s and 43\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 8*o - 63. Let c be l(11). Is 45 a factor of (-3296)\/c - (-16)\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.7 * 0.88944\nAnswer: 16.632528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12827 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -7. Let h = t - -5. Let l = -3.2 + 0.2. Which is the second smallest value? (a) 4 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94.1 + -162.4. Let q = p - -256. Which is the closest to 1? (a) 5 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 10. Let c be (4\/14 - (-14)\/(-49))\/4. Let k be 3 + c + (-22)\/(-11). Calculate the greatest common factor of l and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*y - 24, -2*q + 1 - 7 = y. Let c be (6\/(-2))\/(y\/8). Suppose o - c = -o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 5*s + 35, -3*s = 6*q + 16 - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -534792970 to the nearest one hundred thousand.\nAnswer: -534800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46 + 0 + -1 - -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 - 37*q - 7. Let i(s) = s**2 + 5*s + 1. Let c = 144 - 138. Let p(r) = c*i(r) + h(r). Determine p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19769, 26797, 33827, 40859, 47893, 54929, 61967?\n\"Answer: p**2 + 7025*p + 12743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (242 - -40465) + -20 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276881979 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*f - 84, 0 = -5*x + 4*x + 2*f + 21. What is the remainder when 51 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 211*b**2 - 702*b + 1223. Determine i(-102).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + p**2 + p**2 + 3*p - 2*p**4 - 3*p to b*p**3 + a + y*p + k*p**4 + f*p**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1 - 32*t**3 + 21*t**2 + 20*t**2 + 17*t**2 + 2*t - t - 60*t**2. Give p(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Let t be y(-8). Let a(j) = -j**2 + 10*j - 3. Let n be a(t). Suppose -3*g = -6*g + n. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f4 - 252?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2297426 to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((8 - 4) + 48)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 0 + 0)*(34*u + 14*u - 34*u) + 1 - 3*u**2 - 1 + (-2*u + 5*u - 2*u)*(4*u + 2*u - 7*u) to r + v*u + j*u**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(6\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 5*z**2 - 3*z + 7. Suppose 3*n - 5*u - 29 = -u, 0 = 4*n - u - 17. Suppose n*y - x = -1 + 14, -4*y - 4*x = -28. Calculate l(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 + -35 - -15) - 6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 1789*o**9\/504 + o**6\/120 + 1649*o**5\/30 + 2249*o**2. What is the third derivative of v(s) wrt s?\nAnswer: 214680*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23867 by -27.\nAnswer: -23867\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/((-1)\/75). Let y = f + -15. Suppose y = 4*a + a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140.166584 to 0 dps.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/((-2280)\/(-175)) + (-8)\/6. What is the nearest to 2\/3 in -1\/18, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - t - 18, -78 = m - 6*m - t. Let q be (m\/(-10))\/(6\/(-15)). Solve 2*g = -4*w - 8, -2*w - q*g - 12 + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119216 by 51.\nAnswer: 119216\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 8:22 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 8*c**2 + 319*c. Let i(x) = -6*x**3 + 22*x**2 + 956*x. Give -11*a(d) + 4*i(d).\nAnswer: -2*d**3 + 315*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8)\/(1113\/(-3710))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 + 379\/2. Let z be 12\/(-9)*1\/4. What is the nearest to z in -1\/3, y, -3\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 3, -14, 4, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -230.4 + 225.4. What is the closest to -25 in 0, -2\/9, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*n - 2*n + 158 = 0, 3*y - 87 = -5*n. Calculate the highest common factor of y and 4250.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-86 - -16) + 12 - (1 + -1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 64942250 = 210*v + 37*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzqi when four letters picked without replacement from {z: 4, i: 8, l: 1, q: 5}.\nAnswer: 4\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 975 + 467 = -107*l - 591 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 - (-16)\/4. Sort -5, 2, v, -1 in ascending order.\nAnswer: -5, -1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:58 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/30 - h**4 - 73*h**3\/6 + 229*h**2. Let w be q(-6). Let d = 15 + -6. What is the closest to w in 0, 2\/11, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90129486 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.75301 + 0?\nAnswer: 477.75301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 7*s + 4 = 12*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 7*v**2 - 3*v - 8. Suppose -5*y = 40 - 145. Calculate the remainder when n(-5) is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -4. Let c(z) = -z**3 - 8*z**2 + 49*z + 8. Let f(m) = -m**2 - 28*m + 2. Let b(v) = c(v) + 2*f(v). What is b(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6019\/4649 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.042, 4, -5, -0.049?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8 = -l, 5*l - 3*a + 120 = -2*a. Let w be l\/115 - 61\/(-5). Suppose -15*n + w = -11*n. Calculate the remainder when 10 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-22572)*3306 - (-14)\/(2\/(-1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/120 + s**5\/30 - s**4\/24 - s**2 + 921. Factor r(a).\nAnswer: -a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -6.2. Let t = -1051.1 + 1051. Sort u, -1\/6, t in ascending order.\nAnswer: -1\/6, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 20. Let m be -4 + 1 + (x - -36). Let y = m + -24. Solve -2*b + y - 3 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -342 (b) -1 (c) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)*3 - (-8824)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11680 - -48397. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:17 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 5. Let k = -157 - -165. Suppose -6*o - k = -56. Calculate the greatest common factor of b and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 2*m**2 - 6*m - 4. Let v be f(-1). Find the third derivative of -25*s**4 - 5*s**6 - 2*s**v - 13 - s**4 + 7*s**6 wrt s.\nAnswer: 240*s**3 - 624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**10\/q)\/q)\/q**(-9)*(q*q**3\/q)\/(((q*q\/(q*q**10))\/q*q)\/q) assuming q is positive.\nAnswer: q**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 880903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*s + 81*s - 3124 = 73*s for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247\/4 + -62. Let p = -647\/6 - -108. Which is the second biggest value? (a) -1\/10 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 308315.\nAnswer: -123326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42113 is divided by 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 13 - (13 + 67 - (-7 - -15)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4 + (-5 + 3 + 1)*(-4 + 5 + 0))*(c**5 + c**5 + 4*c**5).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -723*g**5\/10 - 1757*g**2\/2 - 236*g. Differentiate i(q) with respect to q.\nAnswer: -4338*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puuuupuppuuuuuupuu. What is prob of picking 2 p?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, 0.3, -1, 1.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218173 + 155270 = 31*p - 10*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/(-21)*8\/(-32)*-3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 16*b. Let n be j(16). Solve -5*d + 1 + 19 = n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79818 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -2, 135, 11, -1, 1 in descending order.\nAnswer: 135, 11, 4, 1, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653970629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107875 is divided by 78.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159 is divided by 89?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xrxxxxxr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*y - 23, -3*p + 2*y - 21 = -5. Let j be (-20)\/7*21\/p. Let k be (j\/(-6))\/(3\/(-9)). Solve 0 = -2*r + 4*u + 16, -4*r - u + k*u = -16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 1. Let l be o(7). Let x = l - -30. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435265.8556 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loozooiz. What is prob of sequence oo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 98*m**2 - 83*m - 622. Determine q(48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -49*b + 27. Determine r(5).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4\/2 + 3263*v**3\/2 - 344186*v**2 - 810910*v - 232000 = 0?\nAnswer: -2, -1\/3, 290, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from lvwjv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-3 - (23 - (-575)\/(-20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 - 8*s - 17. Suppose 46 = -3*p + 13. Let t = -19 - p. Let a(z) = -2*z**3 + 5*z + 11. Calculate t*a(c) - 5*d(c).\nAnswer: c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 7*s**2 + 8*s - 2. Let f be b(-8). Let y be (6\/(-45)*6*10)\/f. What is the third derivative of 1536 - 2*z**2 - 1536 + 14*z**y wrt z?\nAnswer: 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + r - 766 - 1476, -5*d - 2*r - 5587 = 0. Let x = d + 12299\/11. Let b = 847 - 9288\/11. Calculate the common denominator of b and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/(1\/3). Let y be 126\/4 - u\/(-2). Let x(r) = 6*r**2 + 3*r - 4. Let f be x(-4). What is the highest common divisor of f and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 915\nAnswer: 7\/915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 6*c + 88, 5*a - 2*c = 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 83721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 9*x**2 - 9*x - 2. Determine k(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2484, -4966, -7448, -9930, -12412?\nAnswer: -14894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 53?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**5 - 4 + 4)*((0 + 1 + 1)*(-8 - 3 + 3)*(8 + 2 - 7) - 5 + 2 + 4 + (0 + 1 + 1)*(-1 - 2 + 1) - 1 + 1 - 2 - 2 + 1 - 1).\nAnswer: 110*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1942 divided by -7565?\nAnswer: 1942\/7565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 8*t + 5. Let p be b(8). What is the biggest value in p, 1, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by -1.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 5, -1, -3, 13, -5348 in decreasing order.\nAnswer: 13, 5, -1, -3, -24, -5348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 5*g - 3, -4*k - 268 = 4*g - 264 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 554 - 549. Let a(n) = 11*n - 10. Let z(v) = 12*v - 11. Let u(h) = 6*a(h) - 5*z(h). What is the units digit of u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbubuuuubsubbbbbubu?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 40*f**2 - 42*f - 38. Let y be g(-41). Suppose -2*w + 2*u + 38 = -6, y*w + 4*u - 59 = 0. What is the remainder when w is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -13. What is the third biggest value in -3\/7, 0.5, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 + -117. What is the third smallest value in 5, 0.01, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 997241831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196686?\nAnswer: 2, 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -466 - 8791*p - 26 - 44 - 125 + 8793*p to o*p + g and give g.\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + 361. Let q = s - 380. Solve -5*d = -4*f + 40, q*d + 7*f - 3*f = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/2 + 548541*h**4 - 50148989568*h**3 - 100300173312*h**2 = 0. Calculate h.\nAnswer: -2, 0, 182848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 2*j + 2. Let s(i) = -i - 9. Let c(a) = 2*a + 20. Let m(b) = -4*c(b) - 9*s(b). Calculate -2*m(z) - u(z).\nAnswer: -z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -274 + 4?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/3 + 2*k**3 + 4*k**2 + 10*k. Factor x(t).\nAnswer: 4*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*i + 4201 = -16766 - 27039 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12580 - 12382. Is t smaller than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96\/437, -1\/73, 1\/7, -1\/5, 1\/3 in decreasing order.\nAnswer: 1\/3, 1\/7, -1\/73, -1\/5, -96\/437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/11 (b) -7.4 (c) -3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32111 (base 4) in base 8?\nAnswer: -1625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009080006 rounded to seven dps?\nAnswer: 0.0000908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 4 (c) 1 (d) -0.4 (e) -0.14 (f) -0.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -1534?\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 47*p**2 - p**3 - 23*p**2.\nAnswer: -p**3 - 58*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4.3 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51298754 to the nearest integer?\nAnswer: 7162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 3. What is the lowest common multiple of (-105)\/(-14) + 2\/4 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7623, -25846, -44067, -62286, -80503, -98718, -116931?\nAnswer: -135142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*15\/(-18)*(-4)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16734778 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 6*k + 65. What is r(-9)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 47294969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.8 - 3.6. Which is the biggest value? (a) 0.13 (b) 0.4 (c) x (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 0 + 3891 + -6 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.1073 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/40 - 57\/40. What is the fourth smallest value in q, -3\/5, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + c**3 - 390955*c**2 + 256*c + 390956*c**2 + (2 - c**2 - 2)*(5*c + c + c).\nAnswer: -6*c**3 + c**2 + 256*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 35, 48, 63?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 94. Calculate the highest common divisor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -70?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 221?\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17590*p**5 + p**3 - 79838*p**2 wrt p?\nAnswer: -1055400*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 2*r + 4. Let l(t) = t - 3*t + 2*t**3 - 29 + 34. Let n be 3 + 10\/(-3) - (-13)\/3. Determine n*l(d) - 5*x(d).\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21661820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:38 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 492599, 985095, 1477591, 1970087, 2462583, 2955079?\n\"Answer: 492496*v + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c + 8. Let d = c - -9. Suppose -11 = -r - 4*a, -150*a - 5 = r - 154*a. Solve -4 = -r*f - d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from kwwrkkkckkkw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 201, 277, 375, 495, 637, 801, 987?\n\"Answer: 11*v**2 + 43*v + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**2. Let b(r) = -698*r**2. What is a(b(d))?\nAnswer: -2436020*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 54, 4 in increasing order.\nAnswer: 4, 54, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a. Let n be (1 + 2\/(-4))*10. Let f be o(n). Suppose -5*g - 4*m = -78, 5*g = 2*m + 46 + f. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35354675\/200 - (10\/(-16) + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024767 rounded to 4 dps?\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Suppose -b = 3*b + m*v - 18, 0 = 4*b - v - 21. Calculate the highest common factor of 35 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -511 + 742. Let g = -82 + c. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -3. Let b = -7 - i. Let o be (3 + 3)\/(b\/(-2)). Solve o*l + 6 + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -2*v + 33. Let u = 45 - v. Let t be (-12)\/54 + 254\/9. Calculate the highest common factor of t and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 4\/3. What is the nearest to 0 in c, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -23, -270, -985, -2396, -4731?\nAnswer: -8218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 - -5. Let l = f + 4.9. What is the third biggest value in 1\/2, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2 - 2*r + 1 + 1 - 2*r**2 + 0 = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660478 and 336542?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from cceeyecmemt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -196*d + 2. What is the units digit of h(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:02 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.293 times 41690?\nAnswer: -345735.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 2*c - 4. Suppose 0 = -16*v + 17*v - 3. Suppose -v = -l + 4*z, 5*l + 29 - 82 = z. Let h be (l + -5)*2\/4. Calculate p(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 4*i + 76*o, -4*i - 7*o + 3*o - 66 = -o for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24223313 (base 5) in base 13?\nAnswer: -7c261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -167490, -167554, -167614, -167664, -167698?\n\"Answer: c**3 - 4*c**2 - 59*c - 167428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17941 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 3\/1267372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 14.6.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 3546 = -1152. Calculate the smallest common multiple of 243 and s.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11aa (base 13) to base 9.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/17 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*l - 12, 5 = 4*v + 9*l - 6*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from gogggofgofoffgfggffo.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6811.480383 rounded to the nearest integer?\nAnswer: -6811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 6\/5 (c) -165 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 307 = -2*d, -3*p - 7 = -16. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**18))\/p*p**(-1\/18)*p**(-2)*p*p**(2\/17)\/p assuming p is positive.\nAnswer: p**(4609\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 3. Let v be k(-3). Suppose p + 4 = -0*p. Let d = v + p. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 2*k. What is the second derivative of -k*d + 3*d**5 + 2*d**2 - 2*d**2 - 4*d wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0565 times 1?\nAnswer: -0.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40481922 a multiple of 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {n: 11, i: 1, x: 1}.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h + 26 + 41 - 30*h.\nAnswer: 4*h + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8064\/10 + 4\/(-10). Suppose -9*b + 8*b = 44. Let v = b - w. Round v to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 17*r + 21*r - 4, z = 4*r - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657115538 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 smaller than 822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4 + 5*h + 3*h**2 + 8 - 4*h**2 + 2*h**2. Let c be y(-5). Suppose c*p = -5*a + 1911, 0 = a + p + 3*p - 395. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from touuntooto?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*y + 6075 = -806 - 2632 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21133619 + 0.2113. What is s rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15453398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318507 is divided by 655?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*d = -306 + 21, 4*s - 2*d - 372 = 0. Let k(a) = -a**3 + 7*a**2 + 5*a - 4. What is the remainder when s is divided by k(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + 14\/4. Let g = m - 1. Suppose 8 = 4*n, -g*s - 3*n = n - 89. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -s - 5*j, -4*s + j = -0*s - 11. Let o(f) be the first derivative of 1\/24*f**4 + 13\/18*f**3 + s*f**2 + 6*f + 7. Factor o(n).\nAnswer: (n + 1)*(n + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 251?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p\/p**(-1)))))**(3\/2)\/((p*p**(-2))\/(p\/p**(1\/12)))*(p\/((p*p**(-3\/5))\/p*p))\/p**4*p*p**(-1\/7)*p**6 assuming p is positive.\nAnswer: p**(1627\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**3 - v**2 + 2*v + 3. Calculate s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4704359 minutes in seconds?\nAnswer: 28.226154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqmdxxz. Give prob of sequence dm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*i**4*s - 2*i**3*s**2 - 2*i**3*s + 86*i**2*s**2 + i*s**2 wrt i?\nAnswer: -1080*i*s - 12*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48621 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2014 + 3672. Let q = -11629\/7 + m. Let n = -784 - -9479\/12. Calculate the common denominator of n and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 12*s**2 - 7*s - 6. Calculate w(13).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*t - 24 - 15 = 0, 3*t = -5*n + 95. Suppose -n = -5*s + s. Solve -2*p = -s*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1876832.1 minutes?\nAnswer: 31280.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 9 = 29*r. Sort r, 1, -4, -1 in increasing order.\nAnswer: -4, r, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = -12. Let s(j) = -10*j + 1. Let i(x) = 29*x - 3. Suppose 0 = u + 2*t + 21, 5*u - 7*t + 77 = -3*t. Give o*i(h) + u*s(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 8*n - 9. Let t be z(6). Suppose 5 = t*g + s, 0 = 2*g + 3*s - 1 + 7. Suppose a + 17 = 2*x - 2, 4*x + g*a = 33. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/155, -1\/6, -4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15756911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76501, 77210, 77919, 78628, 79337?\n\"Answer: 709*d + 75792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:15 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -115. Let g = u - -105. Are g and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let v(w) = 546*w - 1086. Let x be v(2). Suppose m = 5*l + x*l. Solve -4*i - 8 = -l*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o. Suppose 7*a - 12 = a. Let t(q) = 22*q**2 + 2 - 23*q**a - 2. Determine t(m(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14 + 22\/70\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z*z*z**(-3\/4)*z)**(-33)\/(((z*z*z**4)\/z**2)\/(z**(-3)*z*z**(1\/3))) assuming z is positive.\nAnswer: z**(-563\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:25 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/9)\/((-36)\/(-54)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -114058932 divided by -4979\nAnswer: 22908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -871 - -5893. Suppose 0 = 23*l - 14*l - c. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 2. Let w be n(5). Let l be -1*2*w\/(-6). Differentiate -3*o**4 + 1 - 1 + l + 1 wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102553\/41860 - 1\/10465. Calculate the common denominator of t and 32\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105*k**2*m - 16763865*k**2 + k*m + 2*m wrt m?\nAnswer: -105*k**2 + k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (7 - 10) - 1 - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 0 (c) 0.1 (d) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.149 - 0.08. Round u to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 19*y**2 + 227*y + 1237. What is p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133173\/33 + 2 + 42\/(-77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5964\/(-8) - 3\/(-6). Let k = o - -3071\/4. What is the common denominator of 23\/4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 370*u\/7 + 8000\/7.\nAnswer: 2*(u - 160)*(u - 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5732667 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*f = 652*f. Suppose 1\/2*h**3 + 4*h + f - 1\/8*h**4 + 7\/2*h**2 = 0. What is h?\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 2*y + (-2 + 1 - 1)*(-913*y + 1773*y - 915*y) + (-6*y + 3*y + 2*y)*(-5 + 5 - 2))*(-3 - 3 + 4).\nAnswer: -222*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {e: 7, x: 4, k: 2, u: 1, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.3 - -29. Let s = 9.3 + v. Let z = s - 8.4. Which is the closest to 1? (a) 3 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/80 - (-4)\/(-10). Let n = -0.9 + -39.1. Let m = n - -29. Which is the second biggest value? (a) m (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 53 + 4 = 0. Suppose 0 = 5*s - z + k, -5*z + 15 = -3*s + 8. Let h = -1 + -1. Sort s, h, 0.9.\nAnswer: s, h, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5515 and 23163?\nAnswer: 115815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 4*x**2 + 5*x + 6. Let s be z(-5). Suppose -5*l + 64 = -s. Let o(f) = 3*f**2 - 2*f + 4. Calculate the remainder when o(3) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (62 - 40500\/525) + (-1 - -18). Let j = 6798\/7 - 969. Factor -p + 4\/7*p**4 - s*p**3 + j*p**2 + 1\/7.\nAnswer: (p - 1)**3*(4*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581*c - 554*c = 238086. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/51 - 122\/255. Let u = -0.01 - 2.99. Which is the closest to 1\/2? (a) i (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -p + 49*g - 45*g, 0 = -4*p + 5*g + 50. What is the closest to 4 in p, 0.5, -27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 13*y - 41. Let u be n(-6). Which is the closest to 3\/5? (a) u (b) -14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1566453 and 178575642.\nAnswer: 178575642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:02 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2057) + 1)**2 + 4 + sqrt(2057)*-2 + (1*sqrt(153) - sqrt(153)) + (3*(-2 + sqrt(17)))**2.\nAnswer: -14*sqrt(17) + 4309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 - 2*l - 1. Let n = -130 + 129. Determine k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 111168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 28*v - 53. Give k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*d + 78*d - 272992 = 125*d. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 614\/11 + (-4)\/(-22). Let o = -6 + -12. Let j = k + o. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 297, 296, 295, 294?\n\"Answer: -m + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b**4*y**3 - 537783*b**4*y**2 - b**2*y + 11*b*y - 60*y**3 - 94*y**2 - 1 wrt b.\nAnswer: 312*b*y**3 - 12906792*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 31 - 29 + 34*g in the form q*g + i and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0684, -0.04, -1\/9, 2 in decreasing order.\nAnswer: 2, 0.0684, -0.04, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b + 3*t + 9, -b + 6 = -2*t. Suppose 2*u = -b*u. Let p = 13 - u. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 208, -8, 0, -19, -4 in ascending order.\nAnswer: -19, -8, -4, 0, 5, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012364 to 4 dps.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 9*f - 12. Solve g - 12 = -f*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(78\/((-78)\/(-6))))\/((-4)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -190, -392, -608, -838, -1082?\n\"Answer: -7*f**2 - 181*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**3 + 5*u**2 - 5*u. Let g be y(2). Let l = g - -70. Solve 4*m = 6*m + l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 15 + 33 = -57 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 + -1)*(-16245 - 10). Is (d\/1)\/((-1)\/(1 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125384 by 2.\nAnswer: -62692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.045 - -0.045. Which is smaller: j or 124?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 141, 148, 157, 168, 181?\n\"Answer: m**2 + 4*m + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 61*g + 54. Let a(l) = -3*l. Let m(s) = -6*a(s) + y(s). What is the derivative of m(o) wrt o?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 297579750*d*t + 133852754*t wrt d.\nAnswer: 297579750*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(120\/50) + 5. Suppose -b*f + 441 = -1229. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96952550.\nAnswer: 2, 5, 457, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7840 or -7581?\nAnswer: -7581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y + 6*y - 60 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 = j + 1, u = -5*j + 19. Solve s = j*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.1431 to zero dps.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63115 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256110*b**2 + 22146*b**2 - 13941*b**2.\nAnswer: 264315*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -55*x - 2 - 219*x + 332*x - 59*x. Suppose v + 8 = -p - v, p = -5*v - 14. Let q(c) = c**2 + 5*c - 2. Let r be q(p). What is d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 110?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 41 = -33. Let a = k + -38. Let w be a\/((-2)\/(-8)) + (24 - 17). Solve -2*o + 15 = -w*g, -2*o + 3*g + 15 = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 76, 170, 280, 394, 500, 586, 640?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 32 - 1464\/144.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 13*q + 37 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2356754 + -6695754. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let k(h) = h**3 + 11*h**2 + 59*h + 279. Let o be k(-8). Put 15, o, -14, 5, -5 in decreasing order.\nAnswer: 15, 5, o, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -595*t**2 - 288*t wrt t.\nAnswer: -1190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2048 - 8*c - 4*c - 2071 - 2*c + 12*c.\nAnswer: -2*c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 4, -1, 2\/11, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 965*a - 10551. Calculate x(11).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-1)\/(-4)). Suppose b*x + x - 12 = 0. Let y(p) be the first derivative of -p**2\/2 + 4*p + 29. Calculate y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.577 and -1311911962.\nAnswer: -1311911962.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*g + 101, 19 = 4*u - 2*g - 57. What is the remainder when -2 - 2\/2 - -34 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r*s**5 + 2*r*s**2 + r + 11*s**5 + 16*s - 1 wrt s?\nAnswer: 60*r*s**3 + 4*r + 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 7 - -38 - ((-9 - -7) + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, 8, -7\/2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975.6589 litres to millilitres.\nAnswer: 975658.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = z - m - 9, 5*m + 14 = 2*z. Let i(u) = -u**3 + 9*u**2 - 6*u - 13. Let t be i(6). Let s = t + -42. What is the greatest common divisor of s and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42518 or 324?\nAnswer: -42518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6625, -1, 5 in increasing order.\nAnswer: -1, 1, 5, 6625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/4 + n**2 - n - 1. Let r be (72\/(-20) + 4)*-5. What is the units digit of q(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 22*l**2 - 21*l + 34. Calculate the remainder when 336 is divided by a(21).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -4, -12, 43 in descending order.\nAnswer: 43, -4, -12, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -7.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/27)\/(-1) - (-48)\/27. Sort -11, 5, o, 4 in decreasing order.\nAnswer: 5, 4, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800.304365 * -3\nAnswer: 2400.913095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113964, 456264, 1026772, 1825494, 2852436, 4107604?\n\"Answer: c**3 + 114098*c**2 - c - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.89 + 6.8601. Let t = 0.4959 + g. Round t to two decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1528 = -4*j, -5*b + 367 = -4*j + 5*j. Let x = 1531\/4 - j. What is the common denominator of x and 62\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -169? (a) -106 (b) 0.3 (c) 1.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -4. What is the least common multiple of x and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**4 + b**4 + 4*b**4 + (3*b**4 - b**4 + 0*b**4)*(-3 + 4 + 1).\nAnswer: 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhc. Give prob of sequence hrh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -53b1 (base 12) in base 4?\nAnswer: -2033311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*d - 155, -5*w = -d + 18 + 7. What is y in 28*y + 10 - 25*y**2 - d*y + 17*y = 0?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*x**3 - x + 14*x**3 - 1 - 23*x**3 - 7*x**2 + 8*x**3 to the form d*x + n*x**2 + j + i*x**3 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/352*(-28)\/21 - 2\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80276361 divided by 25971.\nAnswer: -3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -119 + -15.82357163\nAnswer: -134.82357163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/27)\/(40\/(-12))*(-345)\/230.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lylllyyalbtblyc. Give prob of sequence lta.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, r: 6}. What is prob of sequence hrh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3353 - -692214.34.\nAnswer: 692214.0047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0485 equal to 278\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128579 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 172, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2\/23, 967, 5214 in descending order.\nAnswer: 5214, 967, 1, -2\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -248.7 and -258?\nAnswer: 64164.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 7) to base 10\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/(c*c**21)*c))\/c)\/c)\/c**(-1\/4))**(-2\/67) assuming c is positive.\nAnswer: c**(-77\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.2 (b) -1 (c) -3430 (d) -2 (e) 2 (f) -0.4 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 91 - 27. What is the highest common divisor of o and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288))**2 + -1 - ((-1*sqrt(2)*-6)**2 + -2).\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 38 = -3*y, -152*y - 10 = -157*y + 5*q. Let v(x) = -x**2 + 6*x - 8. Calculate v(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l - 5. Let k be g(-5). Suppose k = 6*c + 2 + 4. Let i = -8 - c. Which is greater: -1\/2 or i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2128 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 3, g: 3, q: 2, b: 3}. Give prob of sequence gbn.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 1, j: 2}. What is prob of sequence mmj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 - 1 - r - 3)*(-r - 6*r - 28*r)*(2*r**2 + 4*r**2 - 3*r**2) to v*r + p*r**3 + k + b*r**2 + o*r**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -7*z + 3*a - 8, -4*a - 36 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 6*n + 32 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2*t - 2. Let w = -10 + 6. Let j be m(w). Solve -j = 5*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 2}. What is prob of sequence hh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -516813, -2066706, -4649859, -8266272, -12915945, -18598878, -25315071?\n\"Answer: -516630*u**2 - 3*u - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -413, 3, 4, -193, 2, -21 in descending order.\nAnswer: 4, 3, 2, -21, -193, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 110*i - 6603. What is p(60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 40 = 23*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 3*m**2\/2 + 2*m.\nAnswer: -m*(m - 1)*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -1141.2578.\nAnswer: -1134.2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 - 5*b**2 - 12*b - 6. Let a(g) = g**2 - 2*g - 1. Calculate 6*a(c) - i(c).\nAnswer: 3*c**3 + 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26, -16, -4, 3, -2, -67 in ascending order.\nAnswer: -67, -26, -16, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -124*c**2 + 27*c - 6. Let f(g) = 3*g**2 + 4*g + 2. Let s(h) = 5*f(h) + u(h). Find the second derivative of s(k) wrt k.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 4780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.7, -1654, 2\/13?\nAnswer: -1654","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5852 + 5888. Calculate the remainder when v is divided by -4 + (13\/1 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2112643, -2112734, -2112887, -2113102?\n\"Answer: -31*i**2 + 2*i - 2112614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 36 = 61*u - 58*u + 12, -3*u + 132 = 30*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/185 (b) -1\/6 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 1.5. Let f = -9.34 + 1.24. Let i = f + 3.1. What is the closest to 0.1 in u, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-27)*483\/(-28) + 1 and 6\/(-2) - (133\/12 + -5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 239*z - 123*z - 464. Put -5, z, -24, 1\/3, -7 in descending order.\nAnswer: z, 1\/3, -5, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 21, -3, 48, -1, -9.\nAnswer: -28, -9, -3, -1, 21, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3656591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (184\/(-10))\/((-4)\/510). Let t = i + -14113\/6. Find the common denominator of t and 91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 250. What is the units digit of (-1 - z\/(-6)) + (-4)\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 7 + 1 + (-7 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1418*y - 55. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14456 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2*u**2 + u + 1. Let z(f) = -1308*f**3 - 8*f**2 - 6*f - 2922. Let l(j) = 4*i(j) + z(j). What is the derivative of l(g) wrt g?\nAnswer: -3912*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:37 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 497 or 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290.17967 + 0.26967. Let v = 290 + p. Which is the second smallest value? (a) 1 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i**3 - 6*i**3 - 3*i**3 - 2 + 2 + i**3 + (i**3 - 2*i**3 - i**3)*(-7 + 3 - 8))*(6 - 1 - 9) to p*i + f + z*i**3 + j*i**2 and give z.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -21. Suppose 1749 = 16*o - 219. Calculate the remainder when o is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -12*b - 110. Let k = b + 22. Suppose 3*j = -k*j + 3*m + 21, 0 = -j + 5*m + 15. Solve 4*z + j - 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1) + 12\/4. Let a be (((-6)\/8)\/(-3))\/b. Let u = -0.9 - -1. Do u and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 4*a + 1. Let l be u(-1). Let s be 0*1\/l*-1. Suppose 6*j - 10 - 116 = s. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 - 3 - (-141)\/24 and 119\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (1 - 0) - (-106 + 164 - (4 + -7))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6974453599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (26 + -112 + 37).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 13. Let s be k(7). Suppose 3*m - 1349 = -5*h, -s - 258 = -h - 4*m. Suppose -4*n = -0*n - h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 0*x**5 + 5*x**5 + 0*x + 6*x**5 + x**4 + 0*x + (-3*x**2 + 3*x**2 + 2*x**2)*(0 + 0 + 2*x**3).\nAnswer: 12*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -618157.639939 - -618158. Let d = q + -0.36. Round d to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -137\nAnswer: -192\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from afasfassssafafa.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r = 678 - 2258. Solve -131 = -r*j - 11 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**2 + x**2)*(2*x**3 + x**3 + 3*x**3).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 + 0.03. Let k = 277 - 367. Let t = k - -89. Which is the fourth biggest value? (a) h (b) 0.5 (c) 0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 1. Let n(g) be the second derivative of -g**3\/3 + 9*g**2 - 8*g. Let b be n(8). What is s(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0.1 (b) 27 (c) 39.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + m - 29, -5*r + 2*r + 14 = 4*m. Let g = -13 - -13. Suppose g = 11*q - r*q - 340. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -26*m + 64. Let u(w) = 28*w - 71. Give 5*u(p) + 6*y(p).\nAnswer: -16*p + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let o be (2\/i)\/(1 - 2). Does 13 divide o\/(-1) - 3*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let l(h) = h**2 - 9*h - 6. Let f be l(10). Sort f, -5, n in descending order.\nAnswer: f, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1 + (-22)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676774 is divided by 11692.\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 560\/(-56)*28\/20\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/376*47*(-136)\/(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fc + 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13979006 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -58 - -9.147\nAnswer: -48.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -185 + 185 - 30*r**2. Let j(g) = g. What is x(j(k))?\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -7 + 13 + (-9 - 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2358.\nAnswer: -5\/2358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -6.5 (b) 1 (c) 2\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1121\/(-152)*64\/1040 + 4\/26.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Suppose -o*y + 3 + 1 = 0. Let l(r) = r**3 + 18*r**2 + 2*r + 41. Let h be l(-18). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/28)\/((-22)\/(-3520)*16)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/317460 and 41\/266955?\nAnswer: 11746020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - (-62 - -63).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*r = 40, 2*x - 26 - 2 = 5*r. Suppose x*i - 7*i = -602. Let f = i - -456. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 665 or 687?\nAnswer: 687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 9*r + 1 = -5*h, r + h - 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = k - 6*j, -2*j = -4*k. Sort 2, 4, k, -3.\nAnswer: -3, k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/2 - 9*x**3\/2 + 17*x**2\/2 + 9*x\/2 - 9 = 0.\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*g**6 - 2*g**3 + 22*g**2 - 12.\nAnswer: -4920*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/400 and -91\/16?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(14\/5))**(-9\/13) assuming d is positive.\nAnswer: d**(-171\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q. Let d be b(-1). Suppose -r = -5*u - 26, r + d*r - 5*u = 68. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/21 (b) 0.6 (c) -5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1521 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5612 = -5*c + o, 3*o = 2*c + 62 - 2312. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = m. Find the first derivative of -t**3 + 2*t**m + 2*t**3 - 1 wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 29*v**2 + 3*v + 11301. What is the hundreds digit of x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -98 - 49 - 25\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2473557645 rounded to 5 decimal places?\nAnswer: -0.24736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37 + 39)\/(4\/222). Suppose 0 = -g*t + 116*t - 150. Calculate the greatest common factor of t and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1241.38475 to one decimal place.\nAnswer: 1241.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2732*u + 845*u - 4106*u + 950*u.\nAnswer: -5043*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 - 977832*p**2 - 64543446*p - 1065002796 = 0 for p.\nAnswer: -33, 488982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-4*(-4)\/80). Let v = 27 - z. Solve 5*l + d = 2*d + 8, v*d - 10 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12*1*(-3 + 31\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-4)\/300)\/((-4)\/(-10))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -4, 140, -2, 4, -318 in ascending order.\nAnswer: -318, -4, -2, -1, 4, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 32*x - 108. What is the hundreds digit of v(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -220\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 337565*d - 1012701. Give p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*9664194.\nAnswer: 4832097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299)*1*1 - 4*(0 + sqrt(2299))) + 4 - (-1 + -4*(sqrt(2299)*1*-2 - sqrt(2299)))) + 3)**2.\nAnswer: -2640*sqrt(19) + 517339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + q - 2. Let d be z(-2). Suppose d*s = -s + 15. Suppose -5*b + 2093 = g, 2*b - 20 = -s*b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47015 by -12.\nAnswer: 47015\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 9 + -16 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 16*y + 5*y - 87*y - 28 + 6*y + 18*y. What is b(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k = 100*k - 9 - 5 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 5*m + 10 = -q, 5*q - 40 = -3*m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) + 452\/6. Let i = -6604 + 7297. Calculate the greatest common divisor of i and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12005 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 74 in decreasing order.\nAnswer: 74, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*g - 0*g. Solve 1 = -3*b - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -12, -4, 356, -2 in decreasing order.\nAnswer: 356, 123, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2567 (b) -0.2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 74 = -2*x, 2*x + 0*b + 3*b - 70 = 0. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 26 = 34. Let l be -2*3\/18*y. Which is the nearest to -2\/5? (a) 1\/4 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}