diff --git "a/data/dm_maths/full_data_1/10093_11255.jsonl" "b/data/dm_maths/full_data_1/10093_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10093_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the highest common factor of 3 and 177840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -132. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16078*s = -15987*s - 1820 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) + 0)*6 + 1 + -1 + sqrt(1053) + sqrt(1053) + 2)*-3)**2.\nAnswer: 2592*sqrt(13) + 606564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g + 1365 - 3087 - 2538. Let r = -463 + 322. Let z = r + g. List the prime factors of z.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 103 + (-47 - 4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ecc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(187)\/sqrt(275))**2.\nAnswer: -17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t + 3*t + t - 29 + 33 - t. Determine j(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**7\/840 + q**6\/180 + 7*q**5\/120 - q**4\/3 - 29*q**3\/6 - 301*q**2. Let r(j) be the first derivative of u(j). Determine r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84 and 3.421?\nAnswer: 287.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13141.82 - 13151. What is the third biggest value in -6, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 9*s**2 + 10*s + 1. Suppose -5*g = -8*g + 5*h - 49, 18 = -g + 2*h. Determine c(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401855109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 512 = 12*w. Calculate the remainder when w is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/24)\/((-8)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8541\/196 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.713 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, -4, 11, 937?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414658561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -214363873544 and -0.4?\nAnswer: 214363873543.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, 0.076, 0.286, 2 in ascending order.\nAnswer: 0.076, 0.286, 2, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 0.271, -5, -12, -1.562?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -242 + 4\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 75110572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -341877*o**2*r + 1144770*o*r wrt o?\nAnswer: -683754*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-585)\/(-130))\/((-18)\/116)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 0*t**4 + 0*t + 0*t**3 + 1\/2*t**6 + 0*t**5 - 1\/2*t**2 + 1. Find the second derivative of i(l) wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -590*c**5 - 2*c**3*q**2 + 5*c**3 - 2*c**2*q + 3953*q**2 wrt c?\nAnswer: -35400*c**2 - 12*q**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152\/26 - 30\/(-195). Let h be (-12)\/16*-4 - (5 - 381). Suppose q*f - 407 = h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3 - (-11)\/3). What is the smallest common multiple of 8 and f\/(-9) - (-200)\/9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7367 + 12129 - 5573 = -357*s for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z**3 + 0*z - 1\/24*z**4 + 13\/120*z**6 + 0*z**5 + 11*z**2 + 0. Let m = -1 + 0. Determine n(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:31 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2238000 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from uuxxxnnunccxcmim.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 13, 15, 29, 61, 117, 203?\n\"Answer: g**3 - 3*g**2 - 2*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011100000001 + -1100001?\nAnswer: 1000011010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 99531916*h**2. Let v(l) = -2*l**2. Determine g(v(i)).\nAnswer: 398127664*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 485 + -285. Let d = l + -199.9893. Round d to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 13*u = 132 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5306814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 27*o**2 - 8*o + 266. Let y be n(27). Sort y, 3, -3, 4 in decreasing order.\nAnswer: y, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 1. Let o(r) = -13*r**3 - 4*r**2 + 2*r - 5. Determine 5*j(k) - o(k).\nAnswer: 13*k**3 - k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 1.9. Let i be 27\/(-105) - ((-8)\/(-7) + -1). Which is the nearest to i? (a) n (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 122\/15*(-80)\/12. Let f = q - -54. Is -1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16828 and 1558994.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 + 11. Let a(r) = 6*r**2 + 11*r. Let n(i) = 3*i**2 + 6*i. Let y(m) = 6*a(m) - 11*n(m). What is y(x(w))?\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = 7*m. Let p = -4007 - -324566\/81. Is m != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2974*k + 2. Let d(h) = -5*h**2. Give d(i(g)).\nAnswer: -44223380*g**2 + 59480*g - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4147 is divided by 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -218278613552345.\nAnswer: -218278613552345.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2160 by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 335 + -1?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-21)\/2)\/(2\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 24*x + 25*x + 44 = 47*x, -2*x = 5*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d*l**4 + d*l**3 - 3*d*l**2 - 5*d - l**4 - 3*l**2 wrt l.\nAnswer: 120*d*l + 6*d - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 2137.\nAnswer: -2137.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1107, 3, 5, -2, 0.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14422 is divided by 7211.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w. Let b(k) = 19*k. Let p(i) = -5*b(i) - 20*m(i). Let l(h) = -9*h. Determine l(p(v)).\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 514175040 divided by -102835008.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 766, -23 in descending order.\nAnswer: 766, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*b**3*j**4 - 495*b**3*j**3 + 516276761*b**3*j**2 - 1106*j**3 wrt j.\nAnswer: 3312*b**3*j - 2970*b**3 - 6636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 19, 74, 185, 370, 647, 1034?\nAnswer: 1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007168 is divided by 26409.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710112 is divided by 355056.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/(u**(-1\/16)\/u))\/(u\/(u**2*u))**(-1\/22) assuming u is positive.\nAnswer: u**(-533\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 776494, 1552986, 2329478, 3105970, 3882462?\n\"Answer: 776492*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 353414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 4)\/((-2)\/4). Let d be (n\/(-5))\/((-6)\/15). Suppose -6 = -5*l + d*l. Solve -3*u + u = l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032680 at least 2032680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 10*m - 2. Let d be -5 + (-9 - -15 - 6). What is s(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/689 or 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/((-6)\/3) + 3 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -33. Let z = x + 29. Let p = -5.4 + 4.4. Which is the nearest to z? (a) 8 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/23 + 129\/115. Let j(m) = -180*m + 15839. Let b be j(88). What is the fourth smallest value in 0.4, u, -61, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.5, 26, -1.4, -3\/4, 6.\nAnswer: -1.5, -1.4, -3\/4, 1, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -11*z**6\/30 + 13*z**5\/10 - 23*z**4\/33 + 4*z**3\/33 + 146*z. Solve o(a) = 0 for a.\nAnswer: 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**5 - 52*c**2 + 52*c**2 + (-55 + 58 - 61)*(9*c**5 + c + c - 10*c**5).\nAnswer: 65*c**5 - 116*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186520425*s**3 + 115743*s**2 - 327*s.\nAnswer: 1119122550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.333064 nanometers to millimeters.\nAnswer: 0.000003333064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -10663?\nAnswer: -10665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 1 - 9*g + 6*g - g**2. Let n be d(4). Suppose j - 2*j + 2*a + 8 = 0, n*j - 57 = -5*a. What is the remainder when 27 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 9824*h - 4935*h - 4877*h.\nAnswer: -h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62619879 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u**2 - 7*u - 42. Let z(t) = 2*t**2 + t - 1. What is v(s) + 5*z(s)?\nAnswer: -2*s**2 - 2*s - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.682 - -0.182. Let t = i - -37. What is the third smallest value in t, -4, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 31818*b + 795462. Calculate z(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5876 and 331.\nAnswer: 1944956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhdoydfi. Give prob of sequence fd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 9}. Give prob of sequence xxxh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 5 - 5)*(-253 + 1328 - 7217) to the form u*n + w and give u.\nAnswer: -12284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**2 - 6*j + 10. List the prime factors of f(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 + g**2 - 27*g - 7. Determine q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.9, 0.5, 2 in increasing order.\nAnswer: -0.9, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 16 = 6*d. Suppose -d*t + 73 = 61. Suppose -430 = -3*w + 4*m, 440 = t*w - m + 2*m. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*c - 70629, 15*c - 3 = -18. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 26. Let m be q(-8). Let c be (12\/(-5) - (-6)\/(-15)) + m. Let n = -0.1 + 0.3. What is the closest to -1\/3 in c, n, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114651022 - -3?\nAnswer: 114651025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1990733\/535 + 3721. Let y = -22 + 22. Is y bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16935*m - 16935*m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62039769713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 + 190. Let t = q - 38. Calculate the lowest common multiple of 3 and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 22 = -5*o, 4 + 10 = 3*a - o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.2, -0.5, -3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4 - 7*v**2 + 7*v**2 + 2*v wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49096535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 153\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**3 - t**2 + 2*t + 3. List the prime factors of p(-2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10849, -11173, -11699, -12427, -13357?\nAnswer: -14489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 20, -2, -3, 5, -5 in descending order.\nAnswer: 105, 20, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6188.2 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/110*12\/(-28)*175?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 17*f - 33 = 2, j + 7 = -f for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19.308 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12762\/5 + 38296\/15. What is the smallest value in -0.18, 0.2, 0.4, -8, u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563202791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/5 + 522*v\/5 + 68121\/5 = 0.\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, 1 q, and 1 u when four letters picked without replacement from tttqeeueqt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12231620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-32)\/(-40)*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 11*c**2 + 18. Let p be v(-11). Suppose -4*a = -5*g + 1, -5*g = -a - 12 - 7. What is the highest common factor of a and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*d**2 + 3*d**2 + 33*d**2 as z*d**2 + g*d + s and give z.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Let i = 26862 + -134308\/5. Which is the second smallest value? (a) k (b) -1 (c) 1\/2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1427175 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*g = -765*g - 3*h - 1, 9*g - 9*g = -5*h + 10 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/9 + 265\/171. Let j = 9 + -4. Suppose 2*f - 13 = -2*h - j, 0 = -5*f + 2*h + 27. Which is the biggest value? (a) z (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossspossopoooo. What is prob of sequence os?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 - q**4 + 3*q**4)*(-4*q - 3*q + 5*q) + 5*q**5 - 2*q**5 - q**5 + (-4*q**2 + 3*q**2 - q**2)*(3*q - 2*q**3 - 3*q).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 27 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h + 1984. Does 4 divide h\/6*51\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.129 + -0.129. Let m = -2 - 0. Let u be -1*2*(-2 - -4). Which is the third biggest value? (a) u (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/12 + 9\/4. Let x = -5\/24 + d. Let g = -0.1 + -0.1. Put g, x, -4 in descending order.\nAnswer: x, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 13453?\nAnswer: 13502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 23 (b) -1 (c) -457\/8 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14639.\nAnswer: 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/72320 and -21\/318208.\nAnswer: 1591040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*r + 126, -3*r + 9 + 9 = 0. What is the greatest common factor of 1668 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((230\/(-1380))\/((-1)\/8))\/34.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/693*7)\/((-2)\/(-9)). Suppose -3*v = 19*f - 16*f - 6, -2*f = v + n. Solve -v*g = -21*g + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/4))**(-1\/34)*(l*l**4\/l*l)\/((l**(3\/4)\/l)\/l) assuming l is positive.\nAnswer: l**(841\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3185, -12920, -29137, -51824, -80969, -116560, -158585, -207032?\nAnswer: -261889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1569\/(7*(-36)\/(-168))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 18 + 6 = u, 72 = -4*u + 4*s. Let d(k) = -k**3 - 13*k**2 + 26*k + 6. Let i be d(u). Suppose 201 = 3*o - 4*m, 0*m - i = -5*o - m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24b + -3?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuukkuuuukkkl. What is prob of picking 4 u?\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*k - 486 = 10*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:15 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 754 divide 23410946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11571.\nAnswer: 3, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by 4.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 9 = 6*t. Sort 1, t, -4.\nAnswer: -4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 735603086 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 406, 1618, 3648, 6502, 10186, 14706, 20068, 26278?\n\"Answer: h**3 + 403*h**2 - 4*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89879152, 89879153, 89879154, 89879155, 89879156, 89879157?\nAnswer: 89879158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from uyuyuuuyuuuuuy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12221 (base 4) to base 9.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 101*d + 77 = -546 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.646 + 0.646. What is the nearest to 0 in h, 0, 7\/4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2256 and 1336152.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/24)\/(-7)*(2 + 1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122207692*s**3 - 20*s**2 - 1859528*s.\nAnswer: -733246152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvwpppppqpvpy. Give prob of sequence pwpy.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111100001001110001 (base 2) to base 4.\nAnswer: -21330021301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*s**3 + 4*s - 130*s**3 + 156*s**3 + 10*s**2 wrt s.\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8347, -8344, -8341, -8338?\nAnswer: -8335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 810613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 26. Give u(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 31*d = -26*d + 23, -5*f + 5*d = -35 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 38*l - 196. Let v(g) = -2*g**2 + 20*g - 98. Let w(o) = 4*h(o) - 9*v(o). Solve w(k) = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 - -1.0341573997\nAnswer: 75.0341573997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -34, -56, -98, -166, -266, -404?\n\"Answer: -f**3 - f**2 + 2*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + (-146)\/(-8). Let c be o\/(-3)*(-6)\/(-4). Let w = 11 + c. Is w equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -128 + 344. What is the highest common divisor of 234 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 - 2. Let r(w) = -w**2 + 1. What is p(c) - 5*r(c)?\nAnswer: c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1656 + 91*r**2 + 83*r**2 - 175*r**2.\nAnswer: -r**2 + 1656","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/(sqrt(30)\/sqrt(6)) + sqrt(57) - sqrt(57))\/(-3*sqrt(432)) + (4*(3 + sqrt(1216) + -1))**2.\nAnswer: 18431*sqrt(19)\/36 + 19520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (5 - -1) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.03 + 0.03. Let p = 0.1301 + -0.0901. Which is the closest to -1? (a) p (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j + 2. Let d be q(2). Let o be (-4)\/(-32) + 1358\/(-112). Is d at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3, 1, 5, -0.43, 65, 4\/3 in descending order.\nAnswer: 65, 5, 4\/3, 1, 0.04, -0.43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 25 - (-3 + 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.1. Let i = 207\/5 + -41. Which is the closest to i? (a) 1\/3 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-40))\/((-84)\/13650)*1*1\/1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -3)*(-3)\/15.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1602*c**3 - 4*c**2 - 33*c + 15. Let l(z) = -1602*z**3 + 3*z**2 + 34*z - 12. Let b(i) = 5*l(i) + 4*v(i). What is the third derivative of b(p) wrt p?\nAnswer: -9612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4623*k - 4787*k = 8528 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119 + 87. What is the tens digit of (2 - (-26)\/(-8))*f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2)))\/(f\/f**(1\/4))*(f*f*f**(1\/3)*f)**(-50)*(f**3\/f*f\/(f**2\/f))\/(f\/(f*(f*(f*f**(1\/3)*f)\/f)\/f)*f*f**(-5)) assuming f is positive.\nAnswer: f**(-1945\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4*(-12)\/8)\/1. Let r = -2 - z. Solve 0 = b + r*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2))**21 assuming k is positive.\nAnswer: k**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*p**5 - 288*p**4 - 37*p**3 + 30668359*p.\nAnswer: -360*p**3 - 3456*p**2 - 222*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g**2. Let t(c) = c**3 - 6*c**2 + 4*c + 3. Let j be t(5). Let h(r) = -4*r - 3. Let l(y) = -3*y - 2. Let k(o) = j*h(o) + 3*l(o). Calculate m(k(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2800 and 8099504.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 3*q. Let i be n(8). Let r be i\/(-33) - (-2 - (-7)\/3). Does 9 divide r + 5\/2 - 131\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 19*s - 2. Let c(l) = 18*l - 144. Let k be c(7). Let m be u(k). What is the greatest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 65 = 59. Let i be 17 + -8 - 7 - 4\/1. Which is bigger: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 40. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361012523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 60944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1512) + sqrt(1512)*-1 - sqrt(1512))\/(-2*sqrt(96)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166228?\nAnswer: 2, 29, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2. Let w be a(-1). Suppose 0 = b - w*b + 4. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 13*o - 5*o)*(2*o - o - 10*o - 1 + 1 + 2*o + (0*o - 2*o + 0*o)*(-2 - 1 + 1) - 2*o - 5*o + 5*o)*(3*o - o + 0*o).\nAnswer: -90*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5.3. Let k = -3.3 + x. Let y(o) = 3*o**2 - 2*o + 1. Let c be y(1). Put k, c, 0.4 in increasing order.\nAnswer: k, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -110432?\nAnswer: 111003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 467 - 431. Calculate the remainder when w is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-1870)\/(-11))*225\/(-60)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 2.13. Let u = -356 + 359. What is the fourth biggest value in -3, p, u, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*p + 213 - 38 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 6 = -5*a. Suppose 68 = a*s - 2*s. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 13173 in increasing order.\nAnswer: -3, -2, 13173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, 53, 3 in decreasing order.\nAnswer: 53, 5, 3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Let h(v) be the first derivative of -v**4\/2 - 2*v + 4. Let y(i) be the first derivative of h(i). Calculate y(u(l)).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 8*v - 5. Suppose t - 3*y - 1 = 0, -25 + 7 = 2*t + 4*y. Let k be g(t). Let x = -6 - -8. Sort 6, x, k in increasing order.\nAnswer: x, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2357\/5 - 19301\/40. What is the common denominator of -34*(1 - (-28)\/(-16)) and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13422*(-3 + 35\/10). Is n*(-2 + -2)\/(-10 - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 4*m**4 - 4\/3*m**3 + 4\/5*m**5 + 0*m - 29 - 8*m**2. Suppose s(q) = 0. Calculate q.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5117*f - 23082. What is s(4)?\nAnswer: -2614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-13 + 22)) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1257, -1407, -1795, -2541, -3765?\nAnswer: -5587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = 3*m, p - 7 = -2*m - 0*m. Suppose 3*s - s + m*s = 0. Solve -4*u + 9*u - 25 = s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:18 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.8 minus 3686?\nAnswer: -3601.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136371 - -20?\nAnswer: 136401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 95 (b) -1\/4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 153*b**2 + 19303*b + 3144. Determine l(-126).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177309752743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-158)\/28)\/(10\/(-4)). Let t = g + -13\/7. Let u(w) = -2*w**3 - 41*w**2 - 100*w + 14. Let p be u(-3). Is t < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51.03 - -51.03005029. What is y rounded to 6 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/(70\/(-25)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 12*w + 3*j, -5*w + 8*j + 11 = 7*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -590 by -42.\nAnswer: 295\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 + 48\/27. Let l = 4 + -2. Let a = l + i. Put a, 0, 5 in descending order.\nAnswer: 5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-7 + (4 - -7) - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -1\/3, 194, 3, 3\/8, 2\/15 in descending order.\nAnswer: 194, 3, 3\/8, 2\/15, 0.05, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/230 (b) 100 (c) 3\/5 (d) -465\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z + 1393 = 96*z + j, 4*z = 2*j + 1834. Calculate the remainder when 476 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5038689, -5038452, -5038217, -5037984?\n\"Answer: -s**2 + 240*s - 5038928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41582 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n + 6*n + 14*n**2 + 4*n - 5*n**2 + 9*n - 11*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 38\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -127, -136, -147, -154, -151?\n\"Answer: t**3 - 7*t**2 + 5*t - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 43, 25, 3, 5 in ascending order.\nAnswer: 3, 4, 5, 25, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 16*i**2 + 4*i - 8. What is s(16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -2)*(-9 - -2). Let z = 18 - p. Find the third derivative of -3*q**2 - 6*q**2 + z*q**6 + 6*q**2 wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*l - 19*l = -635 - 433 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138263, -554547, -1248353, -2219681, -3468531?\nAnswer: -4994903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004304 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 14. Let d = 7 + u. Suppose -4*g + 3 + 21 = d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 116*u + 173. What is p(-3)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.938698 + -24.7387. Let n = o + -1.2. What is n rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*q*t**2 - 3*q*t + 546*q - 528*t**2 + t - 78 wrt t.\nAnswer: 8*q*t - 3*q - 1056*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + x. Let u(k) = -k**2 + k + 3. Let f(c) = -6*u(c) + 3*v(c). What is the first derivative of f(w) wrt w?\nAnswer: -6*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215290 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(648)*-3 + -5 + -4)**2 + 3)*2)*2.\nAnswer: 3888*sqrt(2) + 23672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 153 = 22*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 119\/(-5) - (-1)\/(-5). Let v = -22 - n. Suppose -f - 80 = -v*h - 0*f, -h - 5*f = -51. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 - 4. Let f = 5 - 5. Let o = 1.058 - 0.058. What is the nearest to -1 in f, o, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 455*n**2 + 3*n + 3. Let w be d(-1). Let y = 479 - w. Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51622642.\nAnswer: 2, 17, 1518313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*x - 54. Suppose 7*h = -x + 123. Calculate the remainder when 24 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 - 855*k**3 - 2567*k**2 - 7703*k\/3 - 856.\nAnswer: (k - 2568)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241023110442 - 3?\nAnswer: -241023111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -26 - -1 - (8 + -38)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46639, -48006, -49373?\nAnswer: -50740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454571381?\nAnswer: 47, 52224923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*o**5 + 13135*o**2 - 322877*o - 6 wrt o.\nAnswer: -2060*o**3 + 26270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. What is the closest to 0.1 in 4, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 - r - 25. Determine t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -204, -8, 0 in ascending order.\nAnswer: -204, -8, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - b + b**2 - 2*b**2 - 6 - 5*b + b**3. Let s be g(-5). Is s greater than -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117758 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 395*-6414\nAnswer: -2533530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161 - -30. Let b be 10\/15 + (-482)\/(-6). Suppose -5*c + p = b. Calculate the least common multiple of 9 and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325 - 329. Let y be (-7)\/((-28)\/g) - (-2 + 1). Solve -2*n - 2*n - 2*x - 6 = 0, 3*n - 2*x - 13 = y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 386 + -140. Suppose 5*u + g = 2*c, -2*c + 154 = -3*u - 4*c. Let n = u - -84. What is the greatest common divisor of n and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1349 + 1346 + 702*b - 411*b to a*b + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 9*w**2 - 4*w + 5098. Calculate j(-6).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5937.834ml?\nAnswer: 5.937834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7949*r**2 - 207*r + 412. What is the ten thousands digit of w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.18634 rounded to 0 dps?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/j**(1\/4)))\/(j*j**7*j*j))**(1\/41)\/((j**(2\/5))**(2\/3)*(j*j**(-5))\/j*j**1) assuming j is positive.\nAnswer: j**(8599\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and -3.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1095 + 8125*g**2 - 1095 - 18*g**3 - 8124*g**2. Let l(j) = j**3 - 2*j**2 + 2*j - 3. Let w be l(2). What is b(w)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from oooohoooohhooooooh?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 + 86*i\/5 + 276\/5.\nAnswer: -2*(i - 46)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -24. Let g be 64\/1 + (5 - (-6)\/z). Calculate the highest common factor of 99 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 8. Factor 9*u**3 + 3*u**3 + 15*u**2 - 7*u**k + 12*u - 2*u.\nAnswer: 5*u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64572022 smaller than 64572022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5622000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 + s - 1. Let i(m) = -19*m**2 - 31*m + 30. Let z(j) = i(j) + 4*o(j). Determine p so that z(p) = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1025*(-120)\/(-4920))\/(10\/(-12)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssjsssh. Give prob of sequence shss.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -15.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**3 + 27*l**2 - 50*l - 871. Let w(g) = -21*g**3 - 82*g**2 + 142*g + 2613. Let d(q) = 17*s(q) + 6*w(q). Find the second derivative of d(f) wrt f.\nAnswer: -42*f - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/2481377?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 46670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f - 6*f)*((-3 + 6 + 2)*(1 - 1 + 3*f) - 435 + 435 - 47*f).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.85 (b) 0.0058 (c) 325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519979 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 - 134. What is the derivative of -105*h**n - 16*h - 2*h + 44 + 18*h wrt h?\nAnswer: -420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 368.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:48 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73634, -147263, -220892, -294521?\nAnswer: -368150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 48250?\nAnswer: 386000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 691 - 596. What is the highest common factor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/866781 and -65\/472392.\nAnswer: 561674088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 + y**2\/2 + 19*y - 2. Let q = 21628 - 21628. Calculate x(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 5. Let n be f(-7). Suppose 21 - 1 = -5*j. Sort -9, n, j in descending order.\nAnswer: n, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 3. Let m = -13 - -3. Let w be -2*m*2\/(-8). What is o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212524 + 2?\nAnswer: -212522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 54120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12808*j**3 + 19454*j**3 - 11305*j**3.\nAnswer: 20957*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72484688 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 40 = -156 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55733*v - 55733*v - 8*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 4*k**2 - 17 + 3*k**2.\nAnswer: -k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1131, -1, -3\/22 in decreasing order.\nAnswer: -3\/22, -1, -1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 0*x + 3*x + (-x + 5 - 5)*(-113 + 146 - 137) in the form z + h*x and give h.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/93645929 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 18*v**2 + 86*v + 71. Determine f(22).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 34, 40, 46, 52, 58?\n\"Answer: 6*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 3) to base 8\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*k**3 + k**2 + 14 wrt k?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/602 and 27\/22339532.\nAnswer: 156376724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 1 + 12)*(-u**2 - 3*u**2 + 2*u**2) - 2*u**2 - 7 - 6 - 329*u + 331*u to m + f*u**2 + q*u and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3209018.\nAnswer: 1\/1604509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558 = -11*v + 422. What is the least common multiple of 10 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -15*y + 63. Suppose -17*s = -19*s + y. What is the nearest to s in 0.02, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 5:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**2\/4 + 105*m\/2 - 215\/4 = 0.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = 2*t + 148 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 6. Let h = n + 3. Suppose 2*u + 11 = -3*i, h*u = 7*u + i - 5. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3836 - -3856. What is the smallest common multiple of p and 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-17))**(3\/31)\/(a**6)**(-16\/9))**(-12\/5) assuming a is positive.\nAnswer: a**(-3356\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-476)\/6 + 0 + 34\/(-51). Let w be 7\/10 - (-16)\/d. Let s = -2754\/13 - -212. What is the second smallest value in s, w, 1, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143313101 (base 5) to base 12.\nAnswer: -308069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 149 = 3*t - 53, -206 = -3*t + 4*r. Let l(k) = -29*k - 7 - 57*k - t*k. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + b**3 + b**3)*(-160 + 34*b**2 + 160).\nAnswer: 34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 - 432*t + 89355 = 0 for t.\nAnswer: -259, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/8*42\/35?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1103464 (base 8) to base 11\nAnswer: -192a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 + 615*j - 198. Calculate s(29).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 46*t**2 - 666*t + 8751. Give b(34).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let j be 0\/10 - (0 - r). Suppose j = 4*n + 49 - 149. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:39 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -5822.\nAnswer: -5822, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*f = -197 + 209, h + 15 = 5*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1248.3891 - -198213944.3891. Let l = 198212654.9999841 - u. Let q = l - -41. What is q rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/(m*m**(-1)))\/m*m)**(17\/7)\/((m\/(m\/m**7))\/(m*m\/m**(3\/10))) assuming m is positive.\nAnswer: m**(139\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s*u - 587*s - 14*u - 49 wrt s.\nAnswer: 2*u - 587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 - 292a058?\nAnswer: -292a017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-150 + 336 - 162 - 3*b).\nAnswer: -3*b + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14798 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(396) + sqrt(11)) - sqrt(11))**2 + sqrt(539)*-2.\nAnswer: -14*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(38) - sqrt(38)*-1 - sqrt(38))*-6)\/(2*sqrt(242) + sqrt(242) + (sqrt(2) - (sqrt(288) - sqrt(288)*1))).\nAnswer: -18*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/7)\/b*b**6\/b*(b*b\/(b**0\/b))**(-7\/3))**36 assuming b is positive.\nAnswer: b**(-396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 7*z - 3. Let s be h(6). Let b(l) = 5*l - 1. Does 7 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 118?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 5*d**2 + 1. Let j be x(5). Let f = -62 + 38. Let q = f + 35. What is the highest common divisor of j and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3583*u - 6648*u + 3094*u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/9)\/((-4)\/2). Let z = -1.2 - -1.3. Sort j, z, 5 in ascending order.\nAnswer: j, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2993684 decades to months.\nAnswer: 35.924208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.411 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 546812721 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 958.\nAnswer: -39\/958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222 (base 9) in base 14?\nAnswer: 4bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/27? (a) 2 (b) -0.1 (c) -0.01 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 6813245496707.\nAnswer: 6813245496707.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 23, 13, -3, -6, -0.4, 1.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 - 301321.8745701.\nAnswer: -301321.7445701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -115. List the prime factors of 18*((-5)\/(-3) - j\/(-3)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565500197 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + 36 = 0. Let t(n) = 81*n + 184. What is the least common multiple of l and t(-2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (49\/(-14) - -3) + (-44)\/(-56). Does m = 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 298, 415, 532, 649, 766?\n\"Answer: 117*g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122943 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1613970 divided by -322794\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 251479.6l?\nAnswer: 251479600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sus when three letters picked without replacement from {u: 1, k: 2, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(11) - -1*sqrt(11))*1)**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143751 (base 10) to base 13.\nAnswer: 5057a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607784?\nAnswer: 2, 3, 31, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and -79\/858?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2386*-0.4.\nAnswer: 0.09544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 14*z**2 + 41*z + 194. Let y be d(-16). Solve -y*x - 5 = -5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7295 or -26?\nAnswer: -7295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 233 = w, 0 = 4*w + 54*q - 49*q - 902. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 603071\/24 + -25134. What is the common denominator of g and 155\/66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - -3 - (0 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 38*n + 1349. Calculate w(-36).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 141, 193, 225, 231, 205?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27018619 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**5 - 200*c**4 - c**3 - 105*c**2 - 31*c.\nAnswer: 240*c**2 - 4800*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 take away -10.48?\nAnswer: -254.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -967608, -1935323, -2903024, -3870705, -4838360, -5805983?\n\"Answer: v**3 + v**2 - 967725*v + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:51 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -2*p**3\/3 - 3*p. Let l(u) = -u. Determine l(k(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 6*v - 21 = 0. Suppose 3*q = -v*q. Is 3\/1 + q + 124 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11168 + 11936. Calculate the remainder when i is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1502356 (base 11) to base 13.\nAnswer: -6c4390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2*n - 6 + 8)*(10*n**2 - 10*n**2 - n**3)*(2*n + 3*n - 3*n).\nAnswer: -4*n**5 + 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348068 and 21?\nAnswer: 1044204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 26. Suppose -s = -0*s - 4. Suppose s*x - 48 = -4*l, -5*x + 11 = -2*l - 0*l. Calculate the least common multiple of l and c(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/64, -6\/7, -1\/7, -1.\nAnswer: -1, -6\/7, -1\/7, -1\/64, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3 - 11 + 7 + 4*h**3 wrt h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (134\/10 - -2) + 15\/25. Differentiate -16*m**4 + 7*m**4 + x*m**2 + 148 + 5*m**4 + 5*m**4 with respect to m.\nAnswer: 4*m**3 + 32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(432) + 3 - (0 + sqrt(432) + 0))**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = -4. Suppose -w = 2, -n - c = 2*w - 1. Calculate the remainder when 14 is divided by 6\/(2\/(8\/n)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h - 52. Let d(p) = -3*p - 10. Let x(i) = -11*d(i) + 2*l(i). Suppose 3*k - 15 = 0, 5*u = 5*k + 4 + 1. Let j be 4\/u + (-14)\/3. What is x(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 13.07007?\nAnswer: -13.07007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757669232 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Let y = -0.283 - -0.183. What is the nearest to -1 in y, -3\/7, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.1 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.1562 rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -287148, -287699, -288612, -289881, -291500?\n\"Answer: a**3 - 187*a**2 + 3*a - 286965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -3*r + 29. Calculate the common denominator of r*7\/(-21)*(-3)\/(-8) and -1\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -18478404*x. Let p(b) = 2*b**2. Determine p(q(y)).\nAnswer: 682902828774432*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.621 times 9\nAnswer: -14.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.1 + -20.4. Round b to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25225050 - 4?\nAnswer: -25225054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 - -1.5. Let b = 0.9 + f. What is the closest to b in 1, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -23*i**2 - 3*i + 12. Let k be v(3). Let o = -197 - k. Let r(m) = m**3 - 6*m**2 - 8*m + 1. Calculate r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240587756, -481175507, -721763256, -962351003, -1202938748?\nAnswer: -1443526491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p - 205. Let d be h(16). Differentiate -41*c**4 + 35*c - 240 - 31*c**3 + 16*c**3 - d*c + 17*c**3 with respect to c.\nAnswer: -164*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 2\/15 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41439505.00223 - -41439874. Let u = -369 + g. What is u rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124955827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - (-1 + 9)) + (3 - 0). Let t(x) be the first derivative of i - 2\/3*x**3 - 2\/3*x - 1\/6*x**4 - x**2. Determine k so that t(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4782642001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*x = -170 - 250 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122020301 (base 4) in base 13?\nAnswer: -39962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**2\/2 - 1. Let q be (-2)\/(-8) - (-39)\/(-12). Let s(j) = 1. Let o(z) = -z**2 + 2. Let c(l) = q*o(l) + 6*s(l). Give c(w(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 33 = m + 69, m - 66 = -3*g. Solve -g*t - 66 = -171 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282 - -282. Let d(k) be the third derivative of 0 - 1\/300*k**6 + 0*k**4 + 1\/150*k**5 + 2*k**2 + f*k + 0*k**3. Solve d(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + g**3 + (g + 0*g - 3*g)*(g**2 + 0*g**2 + g**2) - g**3 + 2*g**3 - 3*g**3 + 2*g**3 + 4*g**3 - 5*g**3 - 579*g**3 + 47330*g**2 - 47330*g**2.\nAnswer: -583*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1282, -1273, -1262, -1249, -1234?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 1.1103. Round j to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016256011 to four decimal places.\nAnswer: -0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 810756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 10 = 2*n, -4*x + 0*n + 4*n = 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1923*k + 11791. Let z be l(6). Suppose -2*r + 15 + 57 = 4*c, -5*r = -3*c - 232. Calculate the greatest common divisor of r and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 24*q**2 + 26*q + 25. Let m be r(-25). Suppose 0 = -m*v - 3*v. Solve -2*p - 2*k + 2 = v, -k + 2*k + 11 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -25576*i. Let n(c) = 12915*c**2. Give n(t(r)).\nAnswer: 8448111887040*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*c + 514446 + 832560, -5*s + c = -1347003. Round s to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 17*z - 4*z - 14*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232947 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 0 + 21 = 0. What is the second smallest value in -96, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5382*k**3 - 24936*k**3 - 14038*k**3.\nAnswer: -33592*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - -3.9. Which is the closest to -0.08? (a) -5 (b) -2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*f**3 - 133*f**3 - 6893*f + 6893*f.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 377 - 233. Let g be (2\/12*2)\/(64\/l). Which is bigger: g or 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1084 and 459026846?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s + 17. Calculate v(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/((-291)\/970).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {l: 1, i: 2, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 x when three letters picked without replacement from vlvvixvhvilvvl.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1834 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 1791552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 157 + 156 - 11*u)*(-u**2 - 7*u**2 - u**2) to r*u**3 + o*u + m + b*u**2 and give r.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3006*j - 24097. Determine l(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*t - 210*t + 11*v = -28, 5*t = -5*v + 20 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 583 - 24?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 16890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 36, 2, 4, 312 in increasing order.\nAnswer: -5, 0, 2, 4, 36, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 0. Suppose -m + 5*q = -z, m - 12 + 0 = 2*q. What is the closest to 1 in m, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1313371 * -2\nAnswer: -2626742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*g + 2*g = 19, -6 = -2*j - 4*g. Suppose l + j = -3*v, -1 = l + v - 6. Solve 5 = -2*y + r, -5*r + 1 = 4*y - l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = 4*r, -2*r - l = -6*l - 20. Suppose 3*m - 1707 + 597 = r. Round m to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((-12)\/(-4) - 2)\/(-1). Let s(j) = -j**2 + 2*j + 6. Is 6 a factor of s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j - 6*j + 0*j)*(0*j**3 + 0*j**3 - 2*j**3 + (0*j**2 + 2*j**2 - j**2)*(-4*j - j + 0*j)).\nAnswer: 112*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*o**4\/2 - 285057*o**3 - 2708240994*o**2 + 6501933585*o + 9752130675\/2 = 0. Calculate o.\nAnswer: -19005, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 406920\nAnswer: 1\/203460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 32\/277, -30, -3, -4\/3, -28?\nAnswer: 32\/277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2. Let z(x) = 4211*x. Calculate z(u(d)).\nAnswer: 12633*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242010 and 12.\nAnswer: 484020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 3, t: 5, u: 3, i: 3}. Give prob of picking 1 t and 1 u.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12)*k\/(k*((k**9\/k)\/k)\/k))**(-2\/75)\/(k\/(k**(3\/11)\/k*k)*k*k\/(k\/(k\/(k\/k**(3\/2)))))**(-33) assuming k is positive.\nAnswer: k**(5349\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - -41. Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -47*h. Let i(y) = 32885*y. Give l(i(k)).\nAnswer: -1545595*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4*80\/24. Find the third derivative of -d*c**2 + 23*c**3 + 4*c**2 - 26*c**3 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(2 - (1 - 0)). Suppose 3*r + r - 2524 = u. What are the prime factors of r?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - 2436\/176. Let i = 1582\/99 + t. Calculate the common denominator of 49\/6 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47.5667952756 + -0.2667937956. Let f = c - 47.3. What is f rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23705566 to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 27\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -n + 20, 48 = 2*n + 3*v + 18. Let u = -6900 + 6902. Let o be (-18)\/n*u - -7. Is o greater than 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*80\/(-5880)*7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5493092 to 3 dps.\nAnswer: 4.549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = -2*k - 2508, -2*b - 5*k = 2502. Let q = 1835 + b. Suppose 3*z = q + 714. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h**2 + h. Let m be (-1 - -2)*(1 - -2). Let q = 4 - m. What is o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -8. Find the common denominator of u\/(-1) - 52\/88 and -131\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -498 * 0.40632.\nAnswer: -202.34736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-13\/2))**(-9))**(-21\/4) assuming k is positive.\nAnswer: k**(2835\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 46427 from -0.3.\nAnswer: -46427.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 93*v**2 + 153*v + 252. Let g(f) = 13*f**2 + 22*f + 34. Let c(z) = -2*d(z) + 15*g(z). Determine c(-5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 7. Let f be o(-6). Sort -2\/5, f, -3.\nAnswer: -3, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3*d**5\/80 + d**4\/8 + d**3\/8 - 10*d. Suppose h(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -716000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:12 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -2.02. Let z = v - -1.9. Let j = 7 - 6.7. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 44*j**2 + 93*j + 101. Calculate h(42).\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d30b8 + 38?\nAnswer: -1d3080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8668.309499 + -0.5?\nAnswer: -8668.809499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -103 - (-218 - -123) - (2 + 0 - 37)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 + 6*u + 2. Let h be j(-6). Suppose -4*t + h = -6*t. What is the common denominator of -25\/4 and (t\/77)\/((-4)\/34)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*(-18354)\/(-34086)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p**2 - 3*p**3 + p**3 + 3*p**3 + 5*p**2. Let c be n(6). Suppose 2*x = -c*x + 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*h = 188*h + 5. Sort -2, 3, h.\nAnswer: -2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 - 451 = 4*d + c, -36 = -4*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3 - 5*y**2 - 12 - 5*y**3 - y**2 - 2*y**3 - 7*y. Let j be h(-4). Suppose -1423 + j = -4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -358*y + 299170 + 2599914. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*k + 36, -6*k = -4*t - 2*k + 8. Let s be t - 1*(0 + 2). Suppose -s*a = -0*a - 16. Solve 3*g = -3*v, 0 = 3*g - a*v - 0*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 + 5928*q**3 + 3902598*q**2 + 854665008*q - 858573537 = 0 for q.\nAnswer: -659, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.215 - 10.215. Let a = -5.94 + -0.06. Put c, a, -2 in descending order.\nAnswer: c, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/(-18)*-1). Let q = p + -1. Let o = -7 - q. Solve -2*y + 5 = -o*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10180 + -10177.6579. What is t rounded to 2 dps?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-23)*t*t)**(-26)*t*t**(-15\/4)*t\/(t*t**(3\/19)\/t) assuming t is positive.\nAnswer: t**(-51521\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:00 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 42. Is w greater than or equal to -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a hour in seconds?\nAnswer: 38700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vmvuuvmmmnvvu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 121, 119, 117, 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21610?\nAnswer: 2, 5, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82716 and 1216?\nAnswer: 25145664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f**(2\/7)*f)\/f)\/f))\/(f**(-26)\/f) assuming f is positive.\nAnswer: f**(201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and -201?\nAnswer: 201.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 13 - 8. Let h(j) = 4*j**2 + 1. Let a be h(u). Suppose -9 = 2*b - 1. Sort -3, a, b in ascending order.\nAnswer: b, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*4*869\/(-316).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = i - 22, -103 = -5*i - 3*l. Suppose -a = 4*a - i. Solve -2*m - 6 = x, 5*m = -a*x + 3*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1369633*a**2*y**3 - a*y**3 + 216966*a wrt a.\nAnswer: 2739266*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5879674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 133618 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, 18, -27, -108, -237, -426, -687?\n\"Answer: -2*p**3 - 7*p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2. Let l(h) = 403*h - 160. Let n(r) = -805*r + 347. Let k(s) = -13*l(s) - 6*n(s). Determine y(k(b)).\nAnswer: -167281*b**2 - 1636*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1250 + 1271. Calculate the greatest common divisor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32\/11*d**2 + 8\/11*d - 14\/11*d**5 + 0 - 32\/11*d**4 + 6\/11*d**3 = 0 for d.\nAnswer: -2, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 12 = 12*v. Solve 0 = v*w, 20 = -4*r - 6*w + 4*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18266000 to the nearest one hundred thousand.\nAnswer: 18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 52\/20) + 6\/10. Solve 3*j - 7 = -u - i, -2*j + 15 = 3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 - -138. What is the remainder when 5 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + 1b?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Let b(u) = u**2 + 22*u + 59. Let w be b(-17). Let x = 27 + w. Sort v, -2, x.\nAnswer: -2, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5032*r + 9. Is q(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**4 + 6*g**4 - 8*g**4)*(4 - 8 - 1558*g + 1562*g).\nAnswer: 48*g**5 - 48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101 * -38.\nAnswer: -3838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -707647 by 223.\nAnswer: -707647\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -2\/3799 (c) -2\/9 (d) 0.1 (e) -0.3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 30*y = -36 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191389009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (-46 + 31 + -7 - -59)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 365504089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 33*n - 366. Is i(30) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:58 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.25. Let u = s + 0.1. Let r = -0.12 - u. Round r to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*g + 25, -a = 5*g - 2*g - 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.306 - -0.094. Let p = 8 - s. Let j = -101\/3 + 34. What is the nearest to j in 3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 0.6 (c) 5\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.32 - -1.41. Let t = g - 0.23. Let m = t + -5.5. Which is the second smallest value? (a) m (b) -0.1 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (0 + -7)*1. Let x(a) be the second derivative of -a**4\/12 + 3*a**2\/2 - 10*a - 1. Give x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-9)*(1 - -8). Put -6, a, -1 in decreasing order.\nAnswer: a, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158576 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 + 21834*c + 1443948.\nAnswer: -2*(c - 32817)*(c + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -766 + 1231. Let a = -393 + f. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:27 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -155, -45, 173, 499, 933, 1475, 2125?\n\"Answer: 54*q**2 - 52*q - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + -2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 + 7*p - 1. Let j be (-28)\/(-5) + (-2)\/(-5). Let g be z(j). Suppose 3*w - 2*w = g. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -123413 (b) 29 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 - (-1 + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, g: 8, x: 2, y: 1}. Give prob of picking 1 q and 1 g.\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 483*f**4 + 36217*f**3 - 63*f + 8328 wrt f.\nAnswer: 5796*f**2 + 217302*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, 3, -0.05, 0.04, 1410?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 - -19267?\nAnswer: 19206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1083.6, 29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 - 36 = 0. Let f = p - 3. Suppose 68 = f*u - 2*v, -u + 5*v = -0*u - 32. What is the greatest common factor of u and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6824 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 1, -7, 0.1 in descending order.\nAnswer: 7, 3, 1, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.206 minus -0.5?\nAnswer: 34.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 29535*p**2 - p**3 - 5*p**4 - 29516*p**2 + 7*p**4 - 1 to o*p + j + b*p**3 + h*p**2 + s*p**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7711 + -7866. Is b at most -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juu when three letters picked without replacement from ugjbqjuubbb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 3*f + 10*f**2 + f - 12 to the form u + p*f**2 + r*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4554738 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -10. Let s = 65 + f. Let t be 25 + 0 - (1 - 2). What is the highest common divisor of t and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h + 18*h + 15*h - 55*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 713058.8 millimeters?\nAnswer: 713.0588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*d = 132, 26*h = 1174129*d - 1174131*d + 162 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4084 by 706.\nAnswer: -2042\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 9404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-480)*(-47360)\/(-20720)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 + 15*v + 21. Let r be q(-2). Suppose 0 = -r*b + 180 + 570. Solve -24 = -b*h + 56*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809097791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12099 + -10029. Is 90 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4779.247367 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 2}. Give prob of picking 2 w and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250379*l**3*v**2 + 54*l**3*v + 4*l**2*v + 2*l*v + 50*v wrt v?\nAnswer: 500758*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*m = -m + 20, -27 = -b + 4*m. Solve -c - 5*h + 3 = -b, -2*c - h = 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -m + 1594, -10*m = -5*m - 2*q - 7970. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 64 = -2*n - 2*n + 8*n, -26*n = -28*n - 3*m - 23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5172956 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -9. Let i = 13214 - 13214. Sort 1, -40, i, s.\nAnswer: -40, i, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 35179.13ug?\nAnswer: 35.17913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*h + 6 = -12, 5*h - 29 = -2*p. Suppose -2*z - b - p*b + 52 = 0, 4*b + 52 = 2*z. Which is smaller: z or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367.37*-1158\nAnswer: -425414.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10624?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8 = 4*h, 5*g - 28 = -5*h + 3*h. Suppose -g*n + 1088782 = 26888782. What is n rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10409 + -9779. Calculate the remainder when y is divided by (7 - 165)\/(0 - 2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from hifibtssitsiissf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 16 + 40 = 0. Let x be (-4)\/12 - (-14)\/r. Factor 26*t**3 - 33*t**3 - 3*t**x - 9*t**4 + 3*t**5 + 16*t**3.\nAnswer: 3*t**2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a7608a - -2?\nAnswer: -3a76088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90942, 190396, 289850, 389304, 488758, 588212?\n\"Answer: 99454*h - 8512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:31 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g**2 + 3*g - 2. Let t be v(2). Let d be 8\/(-6)*9\/(-6). Find the third derivative of 2*n**2 - t*n**2 + 4*n**d + n**3 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -662 - -2011. Find the second derivative of 1349 - 166*z + z**2 - f - 26*z**2 wrt z.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/36 and -23\/810356.\nAnswer: 7293204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166 = 87*r - 140*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -99a?\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149454.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 9*m + 6. Let u be a(7). Suppose 0 = 9*o + 11 + 61. Is u < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47038, 47061, 47090, 47119, 47142, 47153?\nAnswer: 47146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - (-1)\/(-2). Let d = 293 + -2341\/8. Which is the nearest to 1? (a) -1\/4 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-4) - 0 - -79. Let i(c) = 34*c**3. Let o be i(1). Suppose o + z = 5*n. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akaklaalaah. What is prob of sequence hl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = -161 - 1692. Is -120 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-870)\/225 - (-2624)\/16080.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(700)*-3)**2*-1 + (2 + (sqrt(700) - (-3*(sqrt(700) + sqrt(700) + -2*sqrt(700)))**2) + sqrt(700))*2.\nAnswer: -1612796 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (85\/20 + -5)\/((-1)\/4). Suppose 3 = 3*l - 3*d + 18, 3*l + 27 = -y*d. What are the prime factors of l\/((-21)\/15) - -234?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -76, -111, -148?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 2, 3, 12, -5 in increasing order.\nAnswer: -5, 2, 3, 12, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, -0.1, 10\/7 in increasing order.\nAnswer: -1, -0.5, -0.1, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (170\/(-6))\/(5*5\/(-75)). Suppose -5*l + 8 = -17. Calculate the greatest common factor of l and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i*i**(-3\/8))**2 assuming i is positive.\nAnswer: i**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -12. Let s = -0.02 - 2.98. Let g = -2 - s. Does g = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -52, -3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -708.7.\nAnswer: -70.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4031a (base 12) in base 8?\nAnswer: -242706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2367 <= -2366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267695, 267389, 267083, 266777?\nAnswer: 266471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105916184.\nAnswer: 2, 11, 19, 63347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microsecond in nanoseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-1*5 + 5*sqrt(1088).\nAnswer: 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + s - 1. Let d be y(2). Find the first derivative of -13*g + 4*g**2 + 1 + d*g wrt g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 63042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 51. Let r = 18.99925 - v. Round r to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 2 + (-3 - -2). Suppose -15 = t - d*t. Suppose -37 = -t*x + 26. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -2*k + 9*k. Suppose k = 6*t - 2. Suppose t*a + 0*a - 8 = 0. Solve g - a = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 428, -2, -0.3 in increasing order.\nAnswer: -2, -0.3, 4\/3, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -612 + 612.1. Which is the closest to 4? (a) 0 (b) -0.1 (c) z (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -a + 2, 0 = -2*v - 9*a + 52361 - 52350 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/(1 + (-368)\/366). Let b = 117 + t. What is the second smallest value in 7, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94107201889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/(-312)*((-6)\/6)\/((-14)\/(-4)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24845 months in years?\nAnswer: 0.1040375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/10*(-5)\/2. Suppose d*l + 158 = 10*l. Let z = l + -54. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q + 867 + 662 = -22 - 950 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-33))\/(-1*(-2)\/11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 2*b - 1. Let g(h) be the second derivative of h**4\/4 - 11*h**3\/6 - h**2 - 90*h + 1. Let i(c) = -g(c) + 4*k(c). Give i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -279744.\nAnswer: -7\/139872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 10 - 14)*((5 - 3 + 0)*(-2 - 5 + 0) + (3 + 2 - 4)*(1 - 3 + 0) - 4 + 1 + 2)*(2 - 1 + 3)*(-5*s + 3*s + 0*s).\nAnswer: -2584*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(4\/11))**(8\/11)*((k**3\/k)\/(k\/(((k*k\/((k\/((k\/((k**(-4)*k)\/k))\/k))\/k))\/k)\/k)))\/((k*k**(1\/7))\/k**5) assuming k is positive.\nAnswer: k**(22954\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1432.112 - -1385. Let f = -0.112 - k. Let q = 46.8 - f. What is q rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(396) + (0 + sqrt(396) + sqrt(396))**2*-3)*3 + ((4*(sqrt(396) + 1 - sqrt(396)) + sqrt(396))*5 + 0)**2).\nAnswer: -6450*sqrt(11) + 304900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 4. Let g be r(-3). Suppose 0 = -5*f - i + 45 - 7, -4*f - i = -31. Solve 3*y = q - 4 - g, -3*y = -4*q - f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204695?\nAnswer: 5, 440939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4802 - -20223. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 24*l**3 - 6*l**2 + 3*l + 3. Let m be q(1). Solve c + 5*c = -m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 6. Suppose 4*n - 30 = -5*q + 2*q, -5*q = -2*n + 2. Let d(a) = -n + a + 2 - 2*a**2 + 4 - 2*a**3. Give d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 8*a - 3. Let f be q(6). Let h = f - 4. Suppose -y + h = 0, g - 2*g - 5*y = -27. Solve -10 = 3*p + g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 29. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3376608 + 1195.4\nAnswer: -3375412.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - 10*(-86396)\/(-8). Round z to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 24*n**2 + 21*n - 28. Does 6 divide i(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 525 or 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8*u**2 + 25*u - 60. Determine l(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(300)*-1)**2*-5 - (sqrt(3) + sqrt(36)\/(1*sqrt(12)) + (sqrt(147)*-3 - sqrt(147))).\nAnswer: -1545 + 326*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (678\/(-10))\/(13\/(-65)). Suppose 2*l - z = -3*l + 4*r, -5*l = 5*r - 375. What is the least common multiple of l\/4 - 1\/(-4) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12609, -12608, -12607?\nAnswer: -12606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7132 + 3061.\nAnswer: 3057.2868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 28305000 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*a - 45*a - 4203418 = 0. Is 203 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(10875\/(-125)))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -37. Let h = 3 + r. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + ((sqrt(190)*3 - sqrt(190) - sqrt(190))*-4 - sqrt(190)))\/(sqrt(10) + -2*sqrt(160)).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -130\/9923?\nAnswer: -130\/9923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99055646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 12.7.\nAnswer: 63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 145 = 41*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 22*v**2 + 25*v + 86. Let d be k(-21). Solve 3*j + 10 = r, -38*r - d*j = -34*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(2)*1)**2 - ((sqrt(32))**2*1 - sqrt(2))).\nAnswer: -2*sqrt(2) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -33.98. Let n = -20 + a. Let x = n - 14.064. Round x to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 185*u + 22. Let w be q(4). Let v = w + -168. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3500413013?\nAnswer: 29, 120703897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*a + 3*p = -24, 2 = -a + p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zljelzjzzffjzj. Give prob of sequence ejz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/7, -8, 3, 1322\/3, 5 in ascending order.\nAnswer: -8, 3\/7, 1, 3, 5, 1322\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1187 + 0.229.\nAnswer: 1187.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4754 + 4764 = 5*k, 8*k - 12 - 4 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-3))\/28)\/((-158)\/(-11613))*(-10)\/(-14).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 3*u + 3*a - 242, 3*u + 5*a = 397. Suppose -3*q + u = 2*y, 5*q - 38 = 4*q - 4*y. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(15)\/sqrt(5) + 5)) + (sqrt(3) - (-1 + (sqrt(12)\/sqrt(4))**2)).\nAnswer: -7 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*s - 39 + 287 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 930392231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 8*y + 18. Suppose -5*j - 76 - 241 = a, -3*j - a = 189. Let r be y*(2 + j\/30). Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15639*v**3 - 21573*v**3 + 4 - 5.\nAnswer: -37212*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -145*m**4 - 11*m - 6041314 wrt m.\nAnswer: -580*m**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -2120.\nAnswer: 6360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31636 (base 9) to base 10.\nAnswer: 20931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21135534 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqqo when four letters picked without replacement from eqekoqeqotp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by (116\/(-145))\/((-4)\/190)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*c - 0*t - 905, t - 2251 = -5*c. Suppose -4*n + 7*d - 3*d = -608, -d = -3*n + c. Let q = 238 - n. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1314.\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:34 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1872) + 0 - sqrt(1872))*-1 + 0 + -2*(2 + sqrt(117) + sqrt(117) + sqrt(117)).\nAnswer: -18*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-3*sqrt(351))\/sqrt(3))**2 + 1 + 5)*-6.\nAnswer: -6360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -198 + 294. Which is the closest to -1.8? (a) g (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let c(l) = 54686*l + 1. Calculate s(c(f)).\nAnswer: 54686*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2388476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 2208 (c) -0.5 (d) -0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1792415, 1792424, 1792437, 1792454, 1792475?\n\"Answer: 2*x**2 + 3*x + 1792410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {l: 11, d: 6, a: 2}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -456\/7? (a) 2 (b) -2 (c) 48\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 58\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 241*i\/2 - 121.\nAnswer: (i - 1)*(i + 242)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753369?\nAnswer: 29, 103, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -22. Let n = y + 25. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - 3.72. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-13)*47775\/(-1050)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3827 = -2*f, -11*f = -8*f - 2*p - 5734. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 g when four letters picked without replacement from {t: 1, n: 1, g: 3, x: 2, s: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11103 (base 6) to base 8.\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -3. What is the least common multiple of q and (-4)\/(-10) + (-36)\/(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Suppose 72 = 307604*m - 307628*m. What is the nearest to p in m, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39475248 divided by -223024.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, -1\/4, -2\/165?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 9511010.\nAnswer: 66577070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 87561600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 503*j + 1561. Let l be w(-3). Solve -l = -4*o - 80 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) - (2 + (-7)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 44 = 5*j, 3*z + 9*j + 15 = 33 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197\/803 + 2\/73. What is the closest to -1 in k, -4, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657437 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -431 at least as big as -1725\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/75 and -101\/180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -c2c39?\nAnswer: c2c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-3)\/(-35))\/(((-36)\/120)\/(-3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h*m**3 - 6*h*m**2*w**2 - 12*h*w**2 + 2*h - 3*m**2 - 15*m*w wrt m.\nAnswer: -24*h*m - 12*h*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 110098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5745435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*k = -21, 11 + 31 = 2*p - 3*k. Solve -p*r + 23*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 312*f. Let k(p) = -101194*p**2. Determine m(k(t)).\nAnswer: -31572528*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 224434 (base 6) to base 4\nAnswer: 10223212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 109702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44*(-8 - -6)*1. Let g be (i\/40 + 1)\/((-6)\/410). Calculate the highest common divisor of 369 and g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from fffuw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-38)\/133. Suppose -2*a + 3960 = 5*h + 3*a, -5*h - a + 3952 = x. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218258 divided by 11?\nAnswer: 383478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -539 (base 11) in base 10?\nAnswer: -647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -602*q - 20097. Calculate v(-33).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**4\/12 + m**2. Let w(r) be the first derivative of -2\/3*r**3 + 0*r + 0*r**2 + 2. Give w(i(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-73094)\/(-21)*15\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s. Let h(n) = -5*n**3 - 2*n**2 - n. Let r be h(-1). Let o(b) = -2*b**2 + 4*b - 1. What is r*y(f) + o(f)?\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -4*(3 + sqrt(468) + sqrt(468) + 0 + sqrt(468) + sqrt(468)) + 3 + 3)*3)**2*5.\nAnswer: 17280*sqrt(13) + 5391540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*b - 3, v + 12 = 5*v - 5*b. Let q(r) = 2*r - 1. What is the units digit of q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/(-75) + ((-6)\/15 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 5, u: 1, k: 4, b: 4, q: 4}. Give prob of picking 1 u, 2 q, and 1 o.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**2 - 4289*y - 3091.\nAnswer: -4*y - 4289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 - 5*g**6 + 31*g**2 + 102*g**2 - 8*g**6 - 6*g**4 + 145*g**2 wrt g?\nAnswer: -1440*g**3 - 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = -5*b. Let w(n) = -104*n - 8*n**2 + 10*n**2 - b + 108*n. Give w(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + o = 3, -30*o + 29*o = -2*s + 9. Solve -2*p = -5*c - 43, 0 = s*c - 3*p + 42 - 9 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541023793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 61. Let u be 2*6 - (-2 - 0). Calculate the highest common divisor of h and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6726546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18071*n**2 + 58207?\nAnswer: 36142*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12515804 and 4728.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/s*s*s*s**(-3\/4))\/(s\/((s**(1\/2)\/s*s*s)\/s)*s**(-15\/8)) assuming s is positive.\nAnswer: s**(55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38405, 38231, 37767, 36869, 35393?\nAnswer: 33195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.048726?\nAnswer: -0.0097452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 10\/3879, 5, 0.5, 4, -38?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -19*p**2 + 130*p + 8. Let o be i(6). Calculate the highest common divisor of o and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10.413207 hours?\nAnswer: 0.061983375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 11 - 21*c + 13*c)*(3*c**2 - c**2 + 2*c**2)*(2 - 2 - 1) as k*c**2 + j + g*c + z*c**3 and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11496806 is divided by 205?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f - 4. What are 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 product of 1632 and -199.1?\nAnswer: -324931.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 54 + 115 - 59 - 182*d - 170*d + 370*d. What is l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1, 0, 1.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0*q**3 + 0*q**2 - 8*q + 0 + 7\/12*q**4. Let l(a) = -1. Let m(d) = -d**2 - 3. Let o(c) = -3*l(c) + m(c). Determine o(g(s)).\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 89242806?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 1\/(-4)*-2*10. Is (844*(-1)\/k)\/((-4)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 69*z**2 + 12*z - 12. Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415730.96 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(240) + (sqrt(240) - (sqrt(240) + (sqrt(240)*2 - sqrt(240))*-2)) + sqrt(240))\/(1*-2*sqrt(5)))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - ((2 - 2) + -9). Suppose 38 + 52 = 3*q - 3*u, x*q - 144 = -u. Sort 3, -3, q in increasing order.\nAnswer: -3, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, 0.1, -1, -958, -0.5, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 121 + 39, -21*i - 4*t = -18*i + 125 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 1, q: 1}. What is prob of sequence qgg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96, -192, -290, -390?\n\"Answer: -u**2 - 93*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -177*c**2 + 16*c + 47. Determine h(-2).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 4*i**2 + 3*i + 5. Let q be l(-4). Let d = 2\/581 + 2897\/2324. Let k = 0.77 - 0.67. What is the nearest to q in -3\/7, d, k?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 950, 957, 952, 929, 882, 805, 692, 537?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4. Let u be (-5)\/(-3)*(-6 + 3). Suppose 0 = -4*y + 12, -5*r - 2*y + 10 = -3*r. Let p(m) = 17*m - 7*m - 9 - 11*m. Give r*p(q) + u*b(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {x: 3, w: 1, k: 4, p: 6, j: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-10\/3)*c)\/c**(-3\/10)*(c**(-1\/13))**45 assuming c is positive.\nAnswer: c**(-1753\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/23, -2, 19?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 22021?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11786044*r**3 + 17*r**2 + 7*r - 445 wrt r.\nAnswer: 70716264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67309 and 319.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c. Let l(y) = -y**2 + 6*y + 1. Let a(u) = 3*l(u) + 4*s(u). Let q(t) = -t**2 - 1. Give a(b) + 2*q(b).\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, 32 in increasing order.\nAnswer: -13, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 182 - 706 = 0. Let c = 307 + d. Calculate the greatest common divisor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose 4 = d - k. Differentiate 3*p**4 - 6*p**4 + d*p**4 + 1 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-3 - 28\/(-2)). Suppose b = 2*f + 13, -b + 3 = f - s. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3025 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4842520 and 30507876.\nAnswer: 305078760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -6. Let z be ((-2)\/(-32) - 0)*6. Is z at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 164\/(-12))*-3. Suppose -3*f + 2*g + 1 = -21, 4*g = -2*f - 12. Suppose f*n - x = 3*n. Calculate the remainder when n is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/20 + u**4\/8 + u**3 + 13*u**2. Let t be k(-4). Suppose 0 = o - 3*o + t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + y - 3*y)*(y - 2*y + 0*y) + 2*y**2 - y + y - 24*y**2 + 25*y**2 - 17*y**2)*(4*y**2 + y**3 - 4*y**2) + 10*y + 4*y**5 - 8*y + 4*y**3 - 2*y**5.\nAnswer: -11*y**5 + 4*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/3 + 5232*n - 10265184 = 0?\nAnswer: 3924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*i - 251 = -0*i, -2*i = -k + 43. Let q = 10129 + -9590. What is the highest common divisor of q and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*6*1735\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 19*q = 23*q - 11, 4*q + 4 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8032 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/611 and -19\/1027.\nAnswer: 48269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j + 27547012 - 27551319 = 0 for j.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152392*i**5 + 139*i**4 - 55979606*i**2 wrt i?\nAnswer: -9143520*i**2 + 3336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13))**24\/((v*v*v*v**(-6)*v)\/(v\/(v**(-1)*v)*v)) assuming v is positive.\nAnswer: v**(100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -129, -126, -121, -114, -105, -94?\n\"Answer: k**2 - 2*k - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*t + 20, 17*t + 6*t + 8*y + 95 = 4*t + 11*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -47*u - 1987. Calculate m(-42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007194 to six dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 84. Let p be o(22). Suppose 3*a + 131 = p*q, q - 9*a - 44 = -6*a. Solve -u + n = -n - 6, u + 5*n + q = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134\/45 + -16\/5. What is the closest to -1 in -1\/2, w, -3, 0.06?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -7*j**2 + 1\/10*j**5 + 1\/120*j**6 + 0*j + 0 + 1\/8*j**4 + 1\/3*j**3. Give m(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -9)\/((-3 - -4)\/1). Suppose 8*y = 6*y. Let n(p) = 6*p - m*p + 1 + y*p. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3 - 18. Let w be (-7 - a)\/((-4)\/(-1)). Let p(s) = -s**2 + 15. List the prime factors of p(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65, 385, 907, 1625, 2533, 3625?\n\"Answer: -y**3 + 107*y**2 + 6*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93117830 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(0*y - 2*y - y + (3*y - 3*y - 3*y)*(6 - 1 - 4)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 338231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from nytllygtyyyxxlynxg.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let c = 12 + -8. Suppose -c*p = p. Let w(d) = 0*d + p*d - d. Determine w(h(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**3\/6 - 2*q**2 - q. Let t(g) = -g + 8. Let m(j) = 5*c(j) + 3*t(j). Give m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23994.\nAnswer: 2, 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60508*p**5 - 7058*p**3 + 139571*p**2 - 333.\nAnswer: 3630480*p**2 - 42348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15441 is divided by 196.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 + 0.6. What is the closest to 2\/21 in n, 0.2, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 15*a**2 - 40*a - 105. Let s be y(-17). Suppose 0 = -0*c - 5*c. Suppose -i - 2*z = 5, -5*i - 2 + 3 = -3*z. Sort i, c, s in ascending order.\nAnswer: s, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1056)\/(-55))\/(-16)*(-2150)\/129.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0674 (b) 912 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/66728 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c - 3*c)*(-1 - 2*c + 1 + (-2 + 2 - 2)*(0 + 0 - 2*c) - 4*c + 4*c + c + 0*c - 2*c + 0*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458 divided by 54429.\nAnswer: 458\/54429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.686 + -0.314. Let h = -0.2 - 0.1. Let g be 27\/63*2\/3. Which is the closest to n? (a) g (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (2 + -1)*-1. Let f = 73 - 108. Let s be (80\/f + 2)*14. Put -1, s, r in decreasing order.\nAnswer: -1, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -2 + sqrt(147))*-2 + -2 + -2*sqrt(147)*2 + sqrt(147) + sqrt(147) + 2)*-3.\nAnswer: 54 + 168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/14 (c) 1 (d) -17134\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 16*c = 11*c + 23, 4*r + 31 = 5*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 12. Suppose -p - 2*k - 1472010 = t*p, 3*p + 4*k = -1104020. What is p rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776761 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 v be (-10 + 35\/5)\/((-27)\/18). Put v, 4, 145, -3 in descending order.\nAnswer: 145, 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {i: 3, a: 1, b: 4, r: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 15*u**2 - 17*u + 9. Let s be n(15). Let c = 155 + s. Is c at most as big as -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from bhlhtlblbbbbllbnbt.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22443 (base 8) in base 12?\nAnswer: 5603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = 22*w - 29 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 5*p - 7)*(0*p**2 + 22*p + p**2 + 23*p - 170*p) in the form i*p**2 + l*p + u*p**3 + b and give i.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 2*x + 6, 0 = y - 5. Calculate the smallest common multiple of 1 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22739650 by 17162.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.4 * 169713.\nAnswer: 2274154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - 1) + (83 + 1 - (1416 + -1391))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 34243?\nAnswer: 34255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011686861 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:24 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r + 1. Let t(x) = -6*x + 1. Let y be t(1). Let n = 4 + y. Does 3 divide w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, -2\/9, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24459, 98320, 221577, 394230, 616279?\nAnswer: 887724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-72) + (-4)\/18. Sort -5, 0.3, v.\nAnswer: -5, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - 2*i. Suppose -8 = -4*r + i*r. Suppose r*o - 157 = -5*u, 86 = -3*o + 5*o + 4*u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2299 and 11495?\nAnswer: 11495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/14*-1)\/((-1)\/26). What is the second derivative of -44*y - y + 94*y**2 + w*y**2 wrt y?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 174. Give k(-6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*s - 5*j = 487*s - 31, -4*s + s + 9*j - 51 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 35. Determine p(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 7*r - 4, 0 = 5*d - 2*r - 34. Let f(v) = -v**2 + v. Let n(g) = -8*g**2 + 13*g. What is d*f(l) - n(l)?\nAnswer: 2*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*s - 104 = -265*s - 266*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 9 + 1 + (19 - -5) + -10\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f = -14*f - 396 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 74 + 59 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*c**4 + 1369*c**2*x**3 + 2*x**3 + 91462 wrt c?\nAnswer: -100*c**3 + 2738*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 174*8\/18*945\/72?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.6 - -0.6. Let h = -7.7 + -1.3. Let u = h - m. Is u > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -530?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -1, 13 in descending order.\nAnswer: 13, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 118\/12 + (-11)\/(-330)*5. Let g(v) = 28. Let y(f) = f - 55. Let x(q) = 5*g(q) + 3*y(q). Let a be x(o). Let h(r) = r**2 - 6*r - 6. What is h(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Suppose -r - c = -0*r. What is the lowest common multiple of ((-4)\/(-6))\/(r\/(-63)) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 3*c**2 - 3*c + 2. Let a be k(2). Let j be (a\/4 - -3) + 31. Let f = j + -32. Solve 2*z = -3*x + 4, 4*x + f*z - 8 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292 = -341*k + 337*k. Let d = -1291\/4 - k. Which is the second biggest value? (a) -5 (b) d (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i - 13 + 13)*(-5 + 3 + 0) - 2*i - 2*i + 5*i)*(-44*i**3 - 32 - 1 + 43*i**3).\nAnswer: 3*i**4 + 99*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 546 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 166, -65, -376, -773, -1262, -1849, -2540, -3341?\n\"Answer: -b**3 - 34*b**2 - 122*b + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/500 and -19\/275.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -918?\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 381384 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 102, 340, 810, 1590, 2758?\n\"Answer: 13*s**3 - s**2 - 4*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 9 = -3*a. Suppose 5*f - 985 = -5*v, 3*v + 5*f - 482 - 105 = 0. Let k = v + -192. Sort -2, a, k in ascending order.\nAnswer: -2, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-280)\/(-4) - 2) + -4. Suppose -a + 175 = 4*a + 5*q, r = 2*a + 4*q. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4290)\/(-1144) + (1 - (-179)\/(-36))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (429010\/666)\/((-3122)\/12). Let h = 2\/8251 - y. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46884601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12390507.\nAnswer: 3, 1376723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/3 + 115*v**3\/6 - 1027*v**2\/3 + 1744*v + 960 = 0. Calculate v.\nAnswer: -1\/2, 10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774 is divided by 1637.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*(-6 + 0). Suppose -4*x - 12 = 0, -x - 220 = 2*o - 1033. Suppose -d*j + o = -5*f - j, 0 = 3*j + 3. What is f rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88169, -176340, -264517, -352700, -440889, -529084?\nAnswer: -617285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 20602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 - 2)*(-24*i - 8*i + 6*i).\nAnswer: 286*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12212759, -48851005, -109914747, -195403985, -305318719?\nAnswer: -439658949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*l + 206. Suppose -5*m = 0, -g - g + l = m. Let o = -12 + g. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**3 + k**2 - k - 2. What is i(-2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -16. What is the third derivative of -f*h**5 - 250*h + 250*h - h**2 - 7*h**2 wrt h?\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 3*v**2 + 10*v - 19. Let p be a(4). Let k(j) = -3*j. Let c = 2 - 3. Let m be k(c). Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31356, 125174, 281538, 500448, 781904, 1125906, 1532454?\n\"Answer: 31273*a**2 - a + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312127 times -0.08?\nAnswer: 264970.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(76) + 4 - sqrt(76)) + ((-1*(sqrt(114) + sqrt(114) + sqrt(114)*-1))\/(sqrt(864)*1))**2.\nAnswer: 3475\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.64 - -2. Let p = -0.04 - j. Suppose 3*r + 3 = -4*m + 7*m, r + 1 = -5*m. Which is the third biggest value? (a) p (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185 - -1411. Suppose -4*m = p - x, -457 = -3*m + 5*p + 474. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1529.334um to kilometers.\nAnswer: 0.000001529334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, -5, 533, 2 in decreasing order.\nAnswer: 533, 5, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuztuzozzoozouu. What is prob of sequence uto?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(63\/72*22\/(-77)*1)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39302?\nAnswer: 2, 43, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2464 - -2499. Calculate the remainder when 187 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*y**3 - 8*y**2 + 8*y**2 + (-y**2 + y**2 + 2*y**2)*(-3*y + y + y).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000389578143 rounded to seven decimal places?\nAnswer: 0.0003896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-22)*(2 - -2). Let q = 0.3 - 5.3. Which is the biggest value? (a) s (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/1620 - 49*f**5\/270 - 2401*f**4\/108 - 86*f**3\/3 - 200*f**2. Let w(v) be the first derivative of c(v). Factor w(n).\nAnswer: -2*(n + 49)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b96993 (base 12) to base 9.\nAnswer: -5463733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 5. Let q = 12 + h. What is the second derivative of 0*p - 3*p + 2*p + 3*p**q wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxixxxxixxxi. What is prob of sequence xxx?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3066363\/2 + 1\/6*n**2 - 1011*n = 0 for n.\nAnswer: 3033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h - 3*h + 3*h - 1 - 6 as x + z*h and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 205483027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229578 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - (-12 - 1 - (-21 + (-40 - (-9 - 40))))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5551 = -98*a + 1679 - 468 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/2 - -4. Let l be (-15)\/(-84) - (-12)\/21. Let i = -1273 - -1260. What is the closest to m in i, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6418 - 6413. Let k(d) be the third derivative of -1\/12*d**4 + p*d**2 + 0*d + 2*d**3 + 1\/120*d**6 + 0 - 2\/15*d**5. What is k(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -44, -38, -32, -26, -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*6*(sqrt(2448) + -2 + sqrt(2448)) + -5 + 4) + -4)**2.\nAnswer: -3101760*sqrt(17) + 317389681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**5\/7 - 158296*p**4\/7 - 474966*p**3\/7 + 16960*p**2 + 56542*p + 118740\/7 = 0. What is p?\nAnswer: -3, -1\/2, 1, 19790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43015 - -43020. Solve 0 = t*x - 4*r + 7, 14*x + 1 = 18*x - r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 149334*u**2 - u - 1. Let b be j(3). Let c = 9656023 + b. Suppose 5*x - 27499975 = l + 4*l, -5*x - c = 2*l. Round l to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 4)*(-1 + 2 + 0) + (-4 - 38 - 13)*(4 - 7 - 3) + 4 - 1 - 1)*(-3*o + 2*o + 3*o) to the form d + c*o and give c.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -3\/8, -483, 5, 0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five eighths of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100001011000110101 (base 2) to base 14\nAnswer: 37ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -3\/5109113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/2, 4, -9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*(-34)\/(-3). Let r = 59 - x. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 80 = -2*i, 656*m = 657*m - 2*i - 16 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -46\/9 (b) -67 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + (18 - (-1 + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 + 4*m**2 + 2 - m**2. Let v be t(0). Let h = v - 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (612\/(-17) + 36)\/2 - (-16 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2000 + -344. Suppose 450 - h = -9*o. Let d = 207 - o. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - 32291520585\nAnswer: -32291520584.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 18 + 10*w**2 + (-5*w + 6*w + 3*w + (0*w - 4*w + 6*w)*(0 + 1 - 2))*(-5*w - w + 5*w) in the form q + r*w + x*w**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 0*b + 4*b + (1 + 1 + 0)*(-1 + 1 + 2*b) + 3*b - 2*b - 2*b)*(3 - 1 + 0).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -2*d - 3*y, 4*d + 3*y = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29217 divided by -3.\nAnswer: 9739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-160)\/150 - (-1 - -4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - 4.94. Let p = o - -5. Let s = -0.5 + 0.8. What is the third biggest value in p, s, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-7\/3)*d)\/d)\/(d\/(d**(-1\/4)*d)))\/(d*d**0)**7 assuming d is positive.\nAnswer: d**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 199488326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -4. Calculate the common denominator of -11\/10 and (21\/72)\/((-2)\/s).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4338*a**3*d**2*q + 3*a**3*d**2 - 3*a**3 - a**2*d*q + a**2*d + 2*d**2*q - 26*d - 22 wrt d?\nAnswer: 8676*a**3*q + 6*a**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -3911?\nAnswer: -2737.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5\/(35\/108) + 80\/140 and 562?\nAnswer: 4496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42606.5 rounded to the nearest one hundred?\nAnswer: -42600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*q**5 + q**2 + 6*q - 5?\nAnswer: -2940*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1903, -1902, -1901, -1900, -1899, -1898?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1756, 3694, 5630, 7564, 9496, 11426, 13354?\n\"Answer: -m**2 + 1941*m - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**5 + i**4 - i**2 - 1. Let m = -1 - 1. Let v(b) = -b**4 + 3*b**2 + 1. Let w(s) = m*d(s) - 2*v(s). Find the third derivative of w(p) wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.8 and 6?\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/(-45))\/((-22)\/3)*-11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x + 12 - 5 - x. Let c be t(7). Solve 3*g - 8 - 1 = c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 8.954, -5\/3, -2, -0.2, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/14*(-9 - -1). Suppose 5*s = 4*u - 6*u + 25, 0 = x*s - u - 7. Suppose -774 = -s*f - 4*m + 573, 5*m = 4*f - 1765. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.0299 kilometers to millimeters.\nAnswer: 917029900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58\/4743 + -632222\/1019745. Let l = -1\/129 - p. Let x = 0.8 + -1. What is the second biggest value in x, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50\/9 + 559\/99. What is the third smallest value in -3\/7, -0.1, -1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -8 (c) 0 (d) 0.46 (e) 2\/3 (f) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let g be 18\/(-10) + (-13)\/(65\/(-4)). Let c(i) = -8*i**2 + 10*i. Determine g*c(p) - 10*w(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99277, -99275, -99273, -99271, -99269, -99267?\nAnswer: -99265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 168?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-393*v + 681*v - 349*v - 12*v**2)*(0 + 1 - 2).\nAnswer: 12*v**2 + 61*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. Does 8 divide 279\/5 + x\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221 or -220?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = 3*y - 16, -5*c + 40 = 5*y. Let l = -217 - -236. What is the remainder when l is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + -1 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2 + 43. Let h = 19 - g. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32.71736 decades?\nAnswer: 327.1736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 62. Suppose 15*w = m*w + 52. Let q(t) = -65*t**2 - 51. Let r(b) = 33*b**2 + 26. Let s(u) = w*r(u) + 6*q(u). What is the derivative of s(x) wrt x?\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = -0. Let u be -2*(2 + -1)\/n. What is the units digit of u*(-33)\/3 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 468316318 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 173*a**2 - 12*a - 163*a**2 + (-2*a + 6*a - 2*a)*(1 - 1 + a))*(10*a + 11*a - 15*a) as d + l*a + m*a**3 + o*a**2 and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 253*d**2 + 29*d + 252*d**2 to l + w*d**2 + y*d and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -737.791 - -5.791. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 4*p**2 - 2*p - 2. Let u be j(-4). Which is the second biggest value? (a) -0.5 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/7583677, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8be74d - -9?\nAnswer: 8be757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 883, 6380, 21099, 49648, 96635, 166668, 264355?\n\"Answer: 768*i**3 + 3*i**2 + 112*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 9, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 22*c**2 - 12*c + 7. Let o be p(10). Suppose -o*v - 12 = -93*v. Solve 2*r = -v*i, -2*r + 4 = -i + 5*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3351 or 1?\nAnswer: 2\/3351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -1\/5 (c) 4 (d) 0.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, 2\/83, -2\/107, -4?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 93. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3373016\nAnswer: 1349206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 5*z + 1 - 3789*z**4 + 3804*z**4)*(-1 + 1 + 2)*(-2*z - 3*z + 4*z).\nAnswer: -30*z**5 + 10*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1. Let a(x) = 2*x - 1. What is 6*a(g) + 6*f(g)?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 18*k - 50. Let h be q(-15). Let p = 138 - h. Let i(n) = -n**3 + 9*n**2 - 8*n - 1. What is i(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/20 - 19*m**4\/24 + m**3\/6 + m**2 - 5*m. Let i be z(7). Calculate the greatest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 z when three letters picked without replacement from kfzggk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 2:16 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7623000 rounded to the nearest one hundred thousand?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0983 and 20740272.2?\nAnswer: 20740272.1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**3))\/a**(-13))**(3\/14)*(((a\/(a\/(a**4\/a)))\/a)**(-39))**(-2\/37) assuming a is positive.\nAnswer: a**(1647\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/24 and -125\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 734138 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -107, 136, 539, 1102, 1825, 2708?\n\"Answer: 80*z**2 + 3*z - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621377 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 166\/(-30) + (-3458)\/(-798)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -823 + 406. Let u = -413 - s. Solve 0 = u*p - 3*q - 20, 10 = 3*p - p - 4*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-685)\/(-10) + 2\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4 - 50881*i**3 - 254438*i**2 + 407076*i + 610632 = 0.\nAnswer: -6, -1, 2, 50886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2398*d**2 + 7189*d**2 - 2394*d**2 + d - 2414*d**2.\nAnswer: -17*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/12 - w**3\/3 + w**2 - 31*w + 65. Let q(o) be the first derivative of j(o). What is q(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -9228.\nAnswer: -1\/3076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1101310?\nAnswer: -1101233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -11 - 696\/(-58). Which is the closest to f? (a) 0.2 (b) 11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 5535463\nAnswer: 11\/5535463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 50, 123, 242, 413, 642?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uua when three letters picked without replacement from {i: 3, f: 2, u: 8, d: 4, a: 2}?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4020.87 + 4020.8. Which is smaller: t or 1971?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303678208 divided by 32\nAnswer: -9489944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2123 (base 10) to base 13\nAnswer: c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 11) to base 15\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 29?\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/(-36))\/(2\/6). Suppose s*x = 5*p - 140, 0 = 2*p - 9*x + 6*x - 61. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*l = -1933*l - 20226 - 78714 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*q - 217, 0*i - i - 3*q + 74 = 0. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -3, 7, 19, 33?\n\"Answer: o**2 + 5*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6304711, -12609424, -18914137, -25218850?\n\"Answer: -6304713*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - d**2 + 2*d + 3. Let l(r) = 3*r**3 + r**2 - r - 2. Let v(j) = -3*l(j) - 2*p(j). Let n be v(0). Solve -3*x - 6 = -n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-15)\/6)\/((-12)\/(-32)). What is the second biggest value in -1\/7, i, -3\/4, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2*sqrt(2)*-4)**2 + ((sqrt(16) + sqrt(64)\/sqrt(4))*-3)\/sqrt(8))*-2.\nAnswer: -288 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2. Let y = 1585\/3146 + -6\/1573. Let z(x) be the first derivative of -y*x**2 + 21 + 0*x. Give i(z(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 0*s**4 + 2*s**4 + 2*s**3 + 3 - s**2 - 2*s in the form j*s**4 + z + h*s + l*s**2 + q*s**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/8*(-237 - -239))\/((-1)\/(-2 + 0))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 6*u**2 + 3*u**2 + 3*u**2 - 5*u**2 + (-3 + 3 + u)*(-4*u - u + 3*u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*z**3 + 266*z - 581*z + 260*z.\nAnswer: 56*z**3 - 55*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/1486308857 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = -0*m + 48. Suppose -5*t + 7*t = m. Solve h + h + 4 = -j, 2*j = -t*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60312.57kg in grams?\nAnswer: 60312570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a - c58a?\nAnswer: -c614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/8*(-3)\/(-5))\/((-97)\/(123772\/(-6699)))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-112*4 - 1) + -1. Let u(z) = z**3 + 12*z**2 - 136*z - 54. Let k be u(-19). Let s be p\/(-12)*2\/k. Which is bigger: 26 or s?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -290 plus 21?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 1 + 10*w**2 + w**2 + w**2 - 17*w**2.\nAnswer: -w**3 - 5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.33 + -1.23. Let o = 15 - 11. What is the closest to w in 0.5, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568, 8652, 17870, 27086, 36300, 45512, 54722?\nAnswer: 63930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 62.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o**3 + o**3 - 9*o**3)*(-o + 0*o - o) - o**4 - 2*o**4 + o**4.\nAnswer: 46*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 + -129. Let h(t) = 2*t**2 + 2*t - 1. Give h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**3 + 41*p**2 - p - 29. Let g(f) = f**3 - 6*f**2 + 4. Determine -15*g(b) - 2*h(b).\nAnswer: b**3 + 8*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6625 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21364.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-72)\/81)*1\/(-9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7714*u**2 - 5*u - 4. Let w(a) = -a**2 + 11*a - 19. Let p be w(9). Is v(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41650157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Suppose 3*x - 12 = 2*x. Solve -n*y + x = -0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1258, 1255, 1250, 1243, 1234, 1223?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-3)\/6. Let c be -3*o + 10 + 5 + -10. What is the third derivative of -43*g**4 - 15*g**2 - 15*g**c + 2*g**4 - 6*g**4 wrt g?\nAnswer: -1128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/6487 or -1\/101?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2258 and 29406.\nAnswer: 33199374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/526?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25381.\nAnswer: 17, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/55171494 and 43\/8.\nAnswer: 220685976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 4, j: 1, y: 1, k: 4}. What is prob of sequence ckjy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*v + 11. Let t be ((-1)\/(-3))\/(v\/36). Suppose -i - 2*n = -25, 5*i + 2*n = t*i + 40. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5878?\nAnswer: -2\/2939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w**3 - 1819676*w**2 - 5*w - 32551004 wrt w.\nAnswer: -48*w - 3639352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1 - -3)*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5298235 divided by 2\nAnswer: -5298235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 212 * 0.5\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxshmvxxmxx. What is prob of picking 2 m and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 1. Let c(b) = -111*b**3 + 5. What is c(p) + 4*k(p)?\nAnswer: -119*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -946 - -954. What is the biggest value in c, -5\/6, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313156669907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1024617 and 123178.\nAnswer: 22541574","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -167*l + 74*l + 82*l + 59*l. Let u(s) = 2*s**2. Calculate c(u(f)).\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - 2*l. Let h be m(2). Let b(x) = x**3 - 120*x + 134*x - 9 - 4*x**2 - 9*x**2. Does 7 divide b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*v**2 + 1669*c*v - 540810*c + 6*v**2 - 50*v - 2 wrt v.\nAnswer: -2*c*v + 1669*c + 12*v - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*c + 27 = 0, -9 = o - 25*c + 23*c. What is the nearest to -9\/8 in 2\/13, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-7)\/((-126)\/(-4)) - (-166)\/18 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-1 - 15)) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10675576*r + 58033765 wrt r?\nAnswer: 10675576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*o**3 - 198*o**3 - 54*o**3 + 153*o**3.\nAnswer: 29*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037604854 rounded to three decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - n**4 + (2*n**2 + 1 - 1)*(-3*n**2 - 3*n**2 + 7*n**2) - 1 + 1 + 2*n**4 + n**3 - n**3 - n**4 + (2*n - 2*n - n**2)*(0*n + 0*n - n**2).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c + 7881 + 395 = 1576 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*m - 203 - 4, -3*m - 3*p + 207 = 0. What is the remainder when m is divided by -5*((-69)\/15 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 - 48 - 45 - 41 - 50 - p**2.\nAnswer: -p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 3:41 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -141 - -20?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/720 - 17*v**4\/12 - 14*v. Let a(l) be the third derivative of h(l). Let r(i) = -98*i. Calculate r(a(q)).\nAnswer: -98*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -703.536 - -703.197641. Round j to two decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + -4 + 2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p**3 - 43*p**2 + 9*p + 86. Calculate the smallest common multiple of t(-7) and 30.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*j + t + 13, -3*j - 6 = 3*t. Let b(o) = 3 + 6307*o**2 - 3153*o**2 - 3156*o**2 - o. Determine b(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19\/(-5) - -4)\/(1\/(-3)). Which is the closest to p? (a) 5 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53439, 106876, 160313, 213750, 267187, 320624?\nAnswer: 374061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 19*d - 912. Give h(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33506 - 1334 = 4*i. Let f = i - -12253. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10496, -10494, -10492?\n\"Answer: 2*a - 10498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4019 divide 364458996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -5\/4 (c) -126\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 5\/6 (b) 0.03 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 36. Calculate b(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1185528648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 30 = 4*r, 2 = 2*r - 2. Is 14098\/i - (-3)\/(-33)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 376 - 218 = 0. Let a be (-5 - w\/5 - -1)*15. What is the highest common factor of 483 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkkdkdkdkkdkddkdkdk. Give prob of sequence kk.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 3*a - 44. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 2*z**2 - 3*z + (-4*z - 5*z + 4*z)*(2*z + 3*z - 6*z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -2 - -2 - (2 + 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 353*s - 1 + 3 - 356*s + 19*s**2 + 0 in the form c*s + w + h*s**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/3 - t**2\/3 + 176*t\/3 + 320 = 0.\nAnswer: -8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 2 - 2*b**2 + 3*b**2 - 5*b. Let m be l(-5). Suppose 8 + 24 = m*s. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 5:09 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - d - 6. What is the remainder when 107 is divided by t(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17537062427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2104 = -43*h - 1682 + 475 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 - 170*w + 23. Give c(24).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.859327 centuries?\nAnswer: 285.9327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -260*d + 5245. Let n be v(21). Sort -1\/3, n, -0.02, -2\/5, 2\/7 in increasing order.\nAnswer: n, -2\/5, -1\/3, -0.02, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + -29. Let y = k + 50. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 308, 1226, 2752, 4886, 7628?\n\"Answer: 304*g**2 + 6*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssshscshcc. Give prob of sequence hhss.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**(2\/65)\/((l**(-13)*l*l*l)\/l*l*l**(-30)))**24 assuming l is positive.\nAnswer: l**(436704\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2*l**3)*(18 + l - 3*l - 16) + 2*l**2 + 567*l**4 + 115*l - 111*l - 109*l**4 as d*l**3 + v*l**2 + q*l**4 + u*l + s and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*m - 13 = 0, -13*m - 4 = 2*w - 14*m. Let j be (-6)\/((-96)\/40)*2\/w. Put 3, -1, j in decreasing order.\nAnswer: 3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.86142 litres to millilitres.\nAnswer: 45861.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*f + 12. Let g = -5 + f. Suppose -w + 3 = -g*w. Solve -2*y - 3*u = 11, 0*y + 2*u + 16 = w*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*n - 155831992 = 0, -4*n = 2*g + 62688642 + 15227366. Round g to the nearest 100000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -488.88 - -483. Round o to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866.78534 rounded to the nearest 10?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 0, -2\/11, -120\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 + g**2 - 3*g + 1. Let b be q(1). Suppose -b*u = -4*f - 2*u + 29738, -f + 3*u = -7442. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -142, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -278 + 135. Let x be 12\/(-20)*(-4 + q). Factor x*i**2 + 3\/5 - 63\/5*i - 1029\/5*i**3.\nAnswer: -3*(7*i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 97, 198, 319, 448?\n\"Answer: -2*g**3 + 28*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/30*5\/3. What is the closest to q in 4, 2\/7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 159.00004776. What is u rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/66657 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34094, 34140, 34184, 34226, 34266, 34304?\n\"Answer: -t**2 + 49*t + 34046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 6*a + 8. Let q(i) = i**2 - i - 1. Let t(d) = l(d) + 5*q(d). Let k be t(-5). Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 9*b**7\/7 - 4*b**3 + 10. Find the third derivative of j(y) wrt y.\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178405 or 178356?\nAnswer: 178356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 36 - 52 = 0. Sort u, 1, 5, -7 in descending order.\nAnswer: 5, u, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - 2*i**4 + 4*i**4)*(-1 + 4*i + 1) + 3*i**5 - 2*i**5 + i**5 + (-3 + 1 + 1)*(-2*i**5 - i**4 + i**4).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220657 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + (sqrt(153) - sqrt(153)*2) + sqrt(153))*4 + sqrt(153))*-3)\/(sqrt(225)*-2*-6).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 11*n**2 + 17 - 36 - 2*n - 34. Let t be b(11). Which is smaller: -76 or t?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68264*d**2*x - 24*d**2 + 64*d*x - 20394*d wrt d?\nAnswer: -136528*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express 7757*n + 1373*n - 2212*n + 2360*n in the form v*n + u and give v.\nAnswer: 9278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 3 (c) 63 (d) 13 (e) -30 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -480\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15861 - -15954. Solve 0 = t*n - 37*n - 112 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004123954 rounded to seven dps?\nAnswer: 0.0000412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - 13. Let t = -65\/3 - d. What is the biggest value in t, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(160\/10))\/(3\/(-3)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.34? (a) -0.4 (b) 0.3 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a week in hours?\nAnswer: 4284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2 - 2*h)*(1 + 1 + 0 + h**3 + (4*h - 5*h + 5*h)*(-52 - h**2 + 52)).\nAnswer: 6*h**4 + 3*h**3 - 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -74 + -2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 21*p = -411 - 373 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4971689, 9943377, 14915065, 19886753, 24858441?\n\"Answer: 4971688*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.269 + 24.731. Let n be ((-119)\/49 + 3)*2\/(-4). Which is the nearest to y? (a) n (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.232 - -0.168. Put 0, a, -2 in decreasing order.\nAnswer: a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540 (base 6) in base 5?\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212120022122 - 1221?\nAnswer: 1212120020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177269?\nAnswer: 177269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1398\/29 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 132 = 4*f, 75 = 4*f + 3*n - 65. Let c = 377 - f. Suppose 5*w - 5 = 0, 4*o - w + c = 1510. What are the prime factors of o?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10020*z + 21592 wrt z.\nAnswer: 10020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 25 (c) 5 (d) -1.2951\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483421 is divided by 112?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(3*(-3)\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*d + 10, -115*d - 2*i = -111*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 341 = 10*g - 5*g, 5*a = 2*g + 124. Let d = g + 77. What is the remainder when 66 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 385. Let f(q) = -2*q + 193. Determine -3*d(w) - 7*f(w).\nAnswer: 2*w - 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 4*v + 4. Let r be b(4). Suppose 0 = o + 1, 2*o + r = -g + 25. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11009094, -22018209, -33027324, -44036439?\n\"Answer: -11009115*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*n**4*x**2 - 16*n**3*t*x**2 - 3*n**2*x**2 + 2*n*t*x - 84*x**2 + 3 wrt n?\nAnswer: -2232*n*x**2 - 96*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 7*v + 3. Let t(p) be the third derivative of -p**5\/60 + p**4\/24 + p**3\/6 + 6*p**2 + 70*p - 1. Calculate -h(x) + 5*t(x).\nAnswer: -3*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 253477 (b) 0.91 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1198 + 1221. Calculate the greatest common divisor of 161 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25550 = 990*m - 3770 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:02 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**3 + 18*k + 51452 wrt k?\nAnswer: -12*k**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m - 14. Calculate k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + 1451?\nAnswer: 142c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1612)\/(-8)*(-2)\/120. Let t = -1\/40 - p. Is t bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Let c(i) = -i + 7. Let s be c(p). Let v(d) = d - 7. Let l be v(s). Which is smaller: l or 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005448 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 332262 and 147672.\nAnswer: 1329048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(162)\/(sqrt(36)\/sqrt(4)))\/(sqrt(36)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 595541?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/60 - n**4\/12 + 2*n**3\/3 - n**2. Let l be v(-6). Let z = l + 42. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*x = -15, 10 + 8 = q + 5*x. Suppose 7 = q*i - 3*f - 11, -3*i - 2*f + 23 = 0. Suppose -84 = 5*r - i*r. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)**(-16)*(n*n**(-1\/3))\/(n**(-2\/5)\/n)*(n**(2\/7)\/n)**(9\/8)*(n\/(n*n*(n\/((n**(3\/2)\/n)\/n))\/n*n))\/n*n**(-4\/5) assuming n is positive.\nAnswer: n**(-2551\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 13. Let y = -5.1 + 5. Which is the closest to y? (a) 0 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (11 - -1) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + q - 78 - 116, -2 = -q. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*t**2 + 2 + 30*t**2 - 3 in the form i*t + z*t**2 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*b + 130*b = 60. Suppose 0*c = -2*c. Suppose c*f - b = -5*f. Solve -f = 5*t - 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -145*x**2 + 664*x - 4. Let b be u(4). Solve -b = 42*q - 80 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2 - 4) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 306108269 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**5 + 18*g**4 + 27*g**3 + 12*g**2 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 2*m. Let z = m - 1. Let t(y) = 750001*y**3 - 2*y - 1. Let s be t(z). Round s to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 10*m**2 + 64*m**2 - 3 + 3 + 2 + 32*m**2.\nAnswer: 86*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0*k**5 + 1\/3*k**3 + 0*k + 3*k**2 + 1\/20*k**6 + 0*k**4 + 0. What is the derivative of m(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 3*y + 2*y + (4 - 4 - y)*(-3 + 4 + 0) + 0 + 2*y + 0 - 221*y + 1 + 7 - 4 + 175*y.\nAnswer: -44*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45119.75 weeks in milliseconds?\nAnswer: 27288424800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 43, 7\/2, -0.5, -3, 3\/2, -10.8, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-six fifths of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than 45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 132. Let x be i(-33). Let s(g) be the third derivative of 0*g + 4*g**2 - 1\/16*g**4 + 1\/6*g**3 + 1\/120*g**5 + x. Factor s(t).\nAnswer: (t - 2)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + 36. Let v be (-15)\/(1 + -2 + 0). Let n = v + r. Calculate the smallest common multiple of 16 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/558610 and 87\/21320?\nAnswer: 91612040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*m = 14, t - 4*m - 22 = -2*t. Solve -4*k + 3*u = -20, 2*u + 5 = k - t*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let n(x) = 11*x**2 + 215*x + 17. Let m(w) = -2*w**2 - 36*w - 3. Let k(t) = 34*m(t) + 6*n(t). Calculate k(h(f)).\nAnswer: -2*f**4 + 66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825169551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6876762?\nAnswer: 2, 3, 233, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 9*r**2 + 12*r - 13. Give o(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/5 + 8\/(-20). Suppose 21*v + 13*v = 8*v. Suppose v = -4*g + g + z, 3*f + 4*g - 263 = 0. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -2*m - 3*m, -4*m - 2 = -3*y. Find the second derivative of 5*k + 0*k**y - 7*k**2 + 4*k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*o**2 - 517373*l**2*o + 74*l*o**4 - 387*l*o**2 wrt o.\nAnswer: 4*l**2 + 888*l*o**2 - 774*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7288*k**3 + 93*k**2 - 12*k + 4 wrt k?\nAnswer: -43728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-22 - -30) + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97306?\nAnswer: 2, 11, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4 + 14. Suppose x*z + 89 = 377. Suppose 6 - 36 = -5*q. Calculate the greatest common divisor of q and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*s**4 - 489*s**3 + 8*s + 41366 wrt s?\nAnswer: 20*s**3 - 1467*s**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 + 11 = -3*y, -2*y = o - 12. What is the lowest common multiple of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8392 and -1464048009.\nAnswer: -1464039617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 - 318*j**2 + 4960*j + 207. Calculate g(87).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - (sqrt(216)*1 + sqrt(216) + sqrt(216)))\/sqrt(8))\/(sqrt(1296)*1) + sqrt(18)\/((sqrt(54)*-1 - sqrt(54)) + sqrt(54))*2.\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**3 - 4*r**2 + 5*r + 1970. Let h(b) = -14*b**3 + 6*b**2 - 8*b - 2957. Calculate -5*h(q) - 8*s(q).\nAnswer: -2*q**3 + 2*q**2 - 975","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1392206 (base 10) to base 14.\nAnswer: -283514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((13 - 11) + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 715109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/128435017 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5 = -3*m + 4*q, 3*q + 9 = -3*m. Suppose 5*l = 7 - 37. Is (-669)\/l + m\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, j: 1, v: 5, z: 1, w: 2}. What is prob of picking 1 y and 1 v?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*6*(sqrt(77) + (sqrt(77) - 3*sqrt(77))))\/(5*(sqrt(28) - (sqrt(28) - sqrt(1008)))*5).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64467 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0253 (b) -0.3 (c) 3\/7 (d) 3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 1\/5, -0.0797, 1\/4, 5\/4.\nAnswer: -4, -0.0797, 1\/5, 1\/4, 5\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000401 rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 9*g - 11. Let m be f(10). Let q = 6 + m. Suppose -3*n - 4*d - 20 = 0, 21 + 43 = -q*n + d. Calculate the common denominator of 19\/4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*g - 4*g + 328 = 0, 4*q + 3*g = 1340. Let l = q - 199. List the prime factors of l.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:25 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 94 - 91. Put 134, q, -2 in increasing order.\nAnswer: -2, q, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-99)\/220*8\/96).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17297619 and 9?\nAnswer: 51892857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 158, 1\/3, -0.6, -0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2163840*r + 2598544?\nAnswer: 2163840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 2*a - 2*a)*(9*a + 11*a - 2*a**3 - 22*a)*(4*a - 3*a + 0*a).\nAnswer: -4*a**5 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 80. Let x be c(20). Solve -3*r = -3*a - 21, 0 = -x*a - 3*a - 3*r - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 - (8 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 1)*(-13886111)\/3. Let m = q - -20786110. Suppose 3*u + 6900001 = 3*f + 2*u, u - m = -3*f. Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + (10 + 1 - 20 - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-150)\/15)\/((-8)\/52). Let d(a) = -2*a**3 + 2*a + 1. Let s be d(-2). What is the highest common divisor of j and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213767, -427534, -641301, -855068, -1068835, -1282602?\nAnswer: -1496369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3)*-1)*-2*-6.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 15) to base 16\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 6758.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 22 = -p. Let r(u) = u**3 + u**2 + 2*u + 12. What is the lowest common multiple of p and r(0)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (53 - 44) - (-1 - (0 - 28)) - 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*d - 3*g, -29*g = 4*d - 24*g + 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0*i**3 - 12*i + 0*i**2 + 1\/3*i**4 + 0. Let d(t) = -3*t**2. Determine v(d(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431 - 241. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -4 (c) 19 (d) 0.1 (e) 578 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -280 - 525. Calculate the highest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 15) to base 12\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a - 4. Let s be i(-1). What is the nearest to -2\/7 in s, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**31\/s*s\/(s**(-35)\/s) assuming s is positive.\nAnswer: s**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 25*h**3\/6 + 12*h**2 + 4*h. Let p be x(-6). Let g = -54 - p. What is the greatest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z**2 - 454*z + 1. Let s(k) = 3*k**2. What is r(b) - 6*s(b)?\nAnswer: b**2 - 454*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = 666. Suppose 0 = 4*k + 4, 10*q - 5*q - k = 4186. Let p be m\/q - (-1)\/3. Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6699.923mg?\nAnswer: 6.699923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 23*k**2. Let z be x(1). Suppose -4*g + 3*v = -23, -z = g + 5*v - 0*v. Find a such that -39*a + 39*a - 5*a**3 - 2*a**g = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 27 = -2*v - 38*h, -5*v + 5 = -2*h. Let n = 2\/17 - -13\/34. Which is the nearest to v? (a) 2\/13 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7651 is divided by 201?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563 = 5*v - l, -3*v - 12*l + 8*l = 324. Let h = v + 223. Is h less than or equal to 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23906 - 23793.162. Let k = -0.128 - 112.872. Let f = k + n. What is f rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 4*r**2 + 30*r - 72.\nAnswer: -2*(r - 3)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from qlqmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 36*m = -78*m + 44*m + 2673 for m.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(2\/17)*n**4*n**(-3)\/(n**(-1\/9)\/n)*n**(-1\/3)\/n**(-2\/11)*n**(1\/6)\/(n**(-2\/11)*n) assuming n is positive.\nAnswer: n**(11531\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m + 148*m - 12 = 48*m + 51*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2005 is divided by 436?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190208 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/502 + -13593\/6526. What is the common denominator of 6\/13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -1\/3, 4, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.1 + -4.9. Let h = 24 + o. Let r = h - -39.9953. What is r rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13799068.2 and -0.5.\nAnswer: 13799067.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + (sqrt(9) - sqrt(9)*2)*-5) - (-2 + sqrt(162) + -3).\nAnswer: -53*sqrt(2)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttjtttj. What is prob of picking 2 j and 1 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-26)\/h)\/h*h)\/h)**(8\/17) assuming h is positive.\nAnswer: h**(-224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {k: 2, h: 8, d: 5, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 3, o: 5, p: 1, j: 3, q: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17\/a**(-1\/20))\/(a**(-1))**(8\/3) assuming a is positive.\nAnswer: a**(1183\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1 (c) -1\/2 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26546.\nAnswer: 2, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 2:05 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139218282 and 2394?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488333 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: Calculate the remainder when 56789 is divided by 403.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 646632, 646631, 646628, 646623, 646616, 646607, 646596?\nAnswer: 646583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**4*s**2 - 4601*q**3*s**2 + 81*q**2*s + 2*q*s**2 + 79*s**2 wrt q?\nAnswer: 144*q*s**2 - 27606*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -6\/34580759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -22955*x - 1217. Does 290 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4 + 2*k**2 - 6*k - 3*k**2 + 0*k. Suppose -5*u - 6 = -3*u. Let y be v(u). Solve -3*j = 4*d - 0*d - 28, y*j = 3*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiummuuumimuu. Give prob of picking 4 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 4*v**2 + 16*v - 9. Let i be f(4). Let u = i + -54. Let s be 31 + u\/(-4 + 3). Calculate the highest common factor of 240 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71679, 71637, 71567, 71469, 71343, 71189?\nAnswer: 71007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44 + 13a035?\nAnswer: 13a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*4\/400)\/1.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 + 5*f + 1. What are the prime factors of d(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/4, -2, -384 in decreasing order.\nAnswer: -3\/4, -2, -4, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 3. Let n = 1.375 - 1.675. Which is the biggest value? (a) 1\/5 (b) -2 (c) w (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38193*c + 5*i + 206 = 38144*c, -23*c - 3*i - 98 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4*-1)\/(2\/(-17)). Suppose 4*r = 5 + 19. Calculate the remainder when 1\/(-2 - (-70)\/p) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-36)*69)\/(1\/3). Let f = 94 + a. Calculate the least common multiple of 76 and f.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 2)*(-2)\/2. Suppose -p + 5*u - 8 = z, -p - p - 6 = -5*u. Put 0, -5, p in ascending order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 194*z + 31. Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/28 + (-105)\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2. Let t(x) = 65*x - 2. What is t(g(l))?\nAnswer: -65*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1673, 3353, 5033, 6713?\nAnswer: 8393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6253317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(304) + sqrt(304) - sqrt(304))**2.\nAnswer: -80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 2*d - 9. Let m be i(-5). Let t = -29 + m. Let a(h) = -h**2 + 6*h - 7. Let r be a(3). Solve 2*w = r*y + t, 6*w - 9 = 3*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let k(i) = 21*i + 6. Let w(m) = -20*m - 5. Let p(a) = -5*k(a) - 6*w(a). Give 20*b(y) + 3*p(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 254?\nAnswer: 75\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from zufwtuzvvvzwzvuuwzz.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331992447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*i**2 + 8*i**5 - 227*i**5 - 2 - 96*i**2 - 170*i**2 - 13*i**5 wrt i.\nAnswer: -13920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1) - -2 - 0. Suppose 33 + 31 = d*g. Suppose 0 = 54*i - 58*i + 68. What is the remainder when g is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 3\/((-3)\/7). Let z(u) = 3*u - a*u**2 + 8*u**2 - u**2. Determine z(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.25894 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.21297 years in months?\nAnswer: 110.55564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 62 = 2*c - 2*y, 4*c = 3*y + 123. Suppose 5*a = -4*b + 8*b - 56, 2*b - 3*a = c. What is the least common multiple of b and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/262346 and -1\/490.\nAnswer: 1311730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 28. Let l(j) = j - 3. Let a be l(r). Solve -i + a*i = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -366 + 210. Let l be 4\/(-2) - 14\/(168\/g). Calculate the greatest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 2*w, 13 = -4*o - 4*w + w. Let f = -36.8 - -41. Let q = f + -0.2. Put -1\/6, q, o in ascending order.\nAnswer: o, -1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 4*t**3 + 11*t**3 - t**3 to the form v*t**2 + o*t**3 + u + j*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**2*x**3 - 3*i**2*x**2 - 22294*i**2*x - 10*i*x**3 + 47*x**3 wrt x?\nAnswer: 30*i**2 - 60*i + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:55 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1118, 2234, 3350, 4466, 5582?\n\"Answer: 1116*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - -12 - -1*28\/(-6). Sort -4.2, -1, d in decreasing order.\nAnswer: d, -1, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183453 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2109962126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-10))\/((g**19*g)\/g))**(-5\/16) assuming g is positive.\nAnswer: g**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 19 + (4 + 16)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 - 32*x + 91*x**3 + 3*x**2 - 106*x**3 - 2 + 54*x**3 to the form p*x**2 + y*x**3 + t + j*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/98589570 and 20\/9858957.\nAnswer: 98589570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 16583.01 meters?\nAnswer: 1658301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2415570 (base 8) to base 14\nAnswer: 13357a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -13, -2\/5, -1\/3 in decreasing order.\nAnswer: 0.2, -1\/3, -2\/5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 66 - 6 = 0. What is the highest common factor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 8*q + 6*q - 6*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:22 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*z**3 - 783*z**3 - 983*z**3.\nAnswer: -1495*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, g: 5, z: 3, o: 2}. What is prob of picking 1 z and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u**2 + 7*u**2 - 2*u**2)*(-3 - 6*u + 3) + 0*u**3 + u**3 + 4*u**3)*(2*u**2 + 3*u**2 + 2*u**2).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/48 and -5\/12499608?\nAnswer: 24999216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 7*f - 190 = 0. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25862168.94 rounded to the nearest 1000?\nAnswer: -25862000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 70.\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 9*s + 5 + (1 - 4 + 4)*(-2*s + 3*s + 0*s) + 3 + s - 3)*(-283*s - 107*s - 40*s) as m*s**2 + u + v*s and give m.\nAnswer: 3010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, h: 3}. Give prob of sequence zhhh.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -2506\/11. Let q = -8 - -5. Which is the biggest value? (a) o (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 9*g**2 - 2*g + 6. Let f be q(9). Let m(u) = -u**2 - 13*u - 11. Let w be m(f). Differentiate 2*x + w - 8*x + 0 + 1 with respect to x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 3. Let v = -8 + g. Let f = 2 + v. Solve -w - f = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*-2*(-6)\/24. Sort 2, -6, 6, t.\nAnswer: -6, t, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -7*i**3\/2 + 151*i**2 - 8187*i. Calculate g(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -15. Suppose -o + a + 2*a + 762 = 0, -4*a - 12 = y. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11 = 5. Let q = z - 10. Let a be 2\/q - (-7)\/3. Solve 3 = j + a*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 15205052.\nAnswer: 15205055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(3\/5)*x*x*x)\/x*x*x**4\/x*x*(x*x**(1\/5)*x)\/(x*x**(-2\/9)))**(-2\/5) assuming x is positive.\nAnswer: x**(-992\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -34\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 26953*q + 26953*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 - (-8 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 392*y + 1555. Suppose 0 = -4*j + 2*j + 48. What is the remainder when j is divided by g(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 181252.518 from -3.\nAnswer: -181255.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8246934 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 7333805?\nAnswer: 7333801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 22 = -114*u + 110*u, 0 = -2*n + 4*u + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71495?\nAnswer: 5, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 45440, -17, -1, -3\/4, 2, 0 in increasing order.\nAnswer: -17, -1, -3\/4, 0, 2, 45440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 + 830935*q**3\/4 - 230152099311*q**2\/4 + 21249559733689181*q\/4 - 21248639138586833.\nAnswer: -(q - 276977)**3*(q - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let o(n) = -121*n + 7. Let a(r) = -203*r + 12. Let j(v) = 6*a(v) - 10*o(v). Give j(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6273 by -1.\nAnswer: 6273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -52. Solve m = 2*z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -720*d + 708*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 52 = -2*y, 2*i + 0*i = 5*y + 25. Let g be (1\/3)\/(2\/(-6)). What is the remainder when g\/(-3 + (-212)\/(-72)) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 127\/124)\/((-4)\/32). Is -1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {z: 12, a: 1, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.55254 kilograms in milligrams?\nAnswer: 8552540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2, 0.2, 4, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*w + 32, -8 = 3*z + 5*w - 53. Solve -4*k = z*j - 12, -3*k + 139*j - 140*j + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 80421*i - 2. Determine p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4280\/16264)\/(280\/(-42)).\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 13*x**6\/240 - x**5\/5 + 3*x**4\/16 + x**3\/6 - 2*x**2 + 20*x. Find y such that h(y) = 0.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 5*x - 33. Suppose 0 = 7*b + 3*b + 130. What is the units digit of v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.743101 from -26576.\nAnswer: -26575.256899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*i - 77, 4*i = -5*w - i + 155. Suppose -w*j = -488 + 150. What is the remainder when 85 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35664885?\nAnswer: 3, 5, 792553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101642695 plus -1000?\nAnswer: 3101641695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*j = 19, 0*i + 4*j - 14 = 2*i. Is i + 1 - (-69 + 3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 196*y**5 + 1256640*y**4 - 9553220*y**3 - 176018640*y**2 + 102804400*y - 14789376 = 0.\nAnswer: -6419, -9, 2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 366 + -437 - (-34 + 0) - -22\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z + 28. Let x(t) = -t**3 - 6*t**2 + t + 10. Let q be x(z). Let j = -25 + q. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 135?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 716887*a + 98930402. Calculate x(-138).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 30.57976mm?\nAnswer: 0.00003057976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 75*b**2 - 171710*b + 343680.\nAnswer: 5*(b - 192)*(b - 2)*(b + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-15)*(14 - -1). Suppose -j*h + 15 = -110. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1475\/(-531))\/((-55)\/(-132))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 2\/11 (c) -2\/11 (d) -1\/3 (e) -0.2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n + 17. Give y(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 36 = -4*x. What is the lowest common multiple of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -7*j**5\/30 + 37*j**3\/6 - 23*j**2. What is the first derivative of u(h) wrt h?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2. Let i(u) = 29 + 3*u + u - 29. Calculate m(i(p)).\nAnswer: -176*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 48, 69, 88, 105, 120, 133?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -716*f + 4. Let t(i) = 239*i - 1. Let d(b) = 5*n(b) + 16*t(b). Let o be d(3). What is the remainder when 53 is divided by (-6)\/39 - o\/(-52)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a34 - 2430?\nAnswer: -1b264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 222 + 272 = 0. Solve -4*p + 15 = -4*h - 1, -2*h - 15 = o*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143713 - 143796 + 6*s**4 - 2*s + 3*s**2 - 7*s**4 to x + a*s**4 + u*s + d*s**2 + y*s**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 600 + -8c916?\nAnswer: -8c316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - -56. Let i = -81 + a. Suppose -i = 15*b - 5*b. What is the fourth smallest value in -1\/2, -1, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2055814 and 245.\nAnswer: -2055569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 739\/11 - 738\/11. Which is the biggest value? (a) 0.5 (b) 0.3 (c) -10 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 2. Let g be 0\/(-1 - (-3 + 4)). Suppose 0*x - 2*x = 2*y - 4, -2*y - 10 = g. Suppose -2*h - 3 + x = 0. Determine m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142 + 159. Is (-4)\/(-34) + 89333\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 11. What is the units digit of (4 + -4)\/(1 + c) + 187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5396 + 5320. Is -50 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + d - 3*d)*(2 + 5*d - 2) - 6*d**2 - d + 9*d**2 - 4*d**2 - 33.\nAnswer: 19*d**2 - d - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 - (-10)\/(-56). Put g, 0, 5 in decreasing order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 7, y: 4}. What is prob of picking 3 x and 1 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 10*z + 14*z + 8*z**3 - 5 + 8*z**3 + 19*z - 45*z in the form h*z + s + u*z**3 + k*z**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1454939253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -420, -637, -654, -471, -88, 495?\n\"Answer: 100*o**2 - 517*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 v when four letters picked without replacement from ppvvppvvpv.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f - 1861 - 12*f**2 + 5*f**2 + 1861 + 2*f**2 + 4*f**2.\nAnswer: -f**2 - 56*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 10732264?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 5, i: 3, r: 1}. Give prob of sequence ffri.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 39663*w + 118995. Determine c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-586866)\/8372182 + (-4)\/586?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 828*z - 410. Let a(j) = -6*j + 2. Let d(h) = 5*a(h) + f(h). Factor d(q).\nAnswer: 2*(q + 200)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:06 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-39 - -73) - -24\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405105 (base 7) to base 9.\nAnswer: 114573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.8984893 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -164, -349, -608, -941, -1348, -1829?\nAnswer: -2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132942*m - 133038*m = 7584 for m.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i**2 + i + 2*i**2 + 3*i**2 - 2*i**2 + (-i - 2*i + i)*(0*i + 0*i - i))*(i**2 + 3*i**2 - i**2).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*c + s + 44, 18 = -c - 2*s + 31 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/11)\/2 - 42\/(-5544)*-12. Which is the closest to -964? (a) g (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 7*l**2 + 18*l - 123. Calculate y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w**5 + 74272*w**4 - 27382268*w**3 + 2214460576*w**2 + 1112369104*w + 139260352 = 0. Calculate w.\nAnswer: -1468, -1\/4, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1085.696 centuries to years.\nAnswer: 108569.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:05 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13333 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/5 + 22664*p**2\/5 + 22658*p\/5 - 45324\/5 = 0.\nAnswer: -11331, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 292445 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/45)\/((-45)\/125))\/((-8)\/(-6)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.025? (a) -0.4 (b) -18 (c) -10\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7999 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let a = 8 + q. Let j(l) = -l**2 + 5*l + 3. Let f be j(5). Solve -t + 6*t = a*x + 12, -f = x - 4*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 15 + 3*k + 5*k**2 - 13 + 13. Suppose -3*t + 26 = -2*x - 2, 0 = 4*t - 3*x - 36. What is the smallest common multiple of t and l(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -123. Suppose -7*m - 556 - 277 = n. List the prime factors of (-2)\/7 - 31212\/m.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a. Suppose 3*s - 2*s + 3 = -4*l, -2*l - 3*s = -11. Sort a, l, 1 in decreasing order.\nAnswer: 1, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, f: 1, v: 8}. Give prob of picking 2 y.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -70. Suppose 0 = 2*f + t - m, 2*t + 85 - 2 = 5*f. Let w be 94506\/f + 6\/(-15). Round w to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9*c = -4*c - 42, 0 = -5*h - 3*c + 232. Is 233\/5 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 75.96113827 and -0.4717.\nAnswer: 75.48943827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -95370274, -95370273, -95370272, -95370271, -95370270?\n\"Answer: u - 95370275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, a: 14}. Give prob of sequence naan.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 (base 14) in base 9?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 278 + 256 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306 - -314. Solve 4 - w = -4*b, 2*b = 2*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 take away 1913652?\nAnswer: -1913743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaxa when four letters picked without replacement from {a: 2, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**7\/2520 - q**5\/20 - 7*q**2. Let i(k) be the third derivative of j(k). Let s(n) = -30*n**2. Calculate i(s(a)).\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 148*c - 322. Determine o(3).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-299)\/52 + 1\/(-4). Let g be (0 - 0) + (-4 - v). Let s = 0.05 - -2.95. What is the biggest value in s, -1\/6, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 600*r + 6. Let i(f) = 3*f**2 + 604*f + 5. Determine -5*c(y) + 6*i(y).\nAnswer: -2*y**2 + 624*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019385662 rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - ((-4)\/7 - (-2640)\/357) - 0. Which is the closest to 0? (a) 0.3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11544 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -718*u**2 + 163*u + 159*u - u**4 - 479*u - 254*u**3 + 157*u wrt u.\nAnswer: -24*u - 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0 + 0 + (-1 + 0 + 2)*(2 + q - 2) + q - 5*q + 3*q + (1 + 1 - 1)*(-2 + 2 - q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 246198949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47437143835 - -347?\nAnswer: 47437144182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65083 + 30431?\nAnswer: 95514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63010*a + 1095*a**2 + 126016*a - 63006*a.\nAnswer: 1095*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k**2 + 13*k - 31*k + 0 - 4*k**4 + 2 + 16*k to g*k + m + f*k**4 + n*k**3 + r*k**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3267)\/(-143) - (-10)\/65. Solve -2*m + i*m = 84 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 at most 520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 31. Suppose 7 = i - y. Let l be -4*(-3 - -2) + 0. What is the greatest common factor of l and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2401811 divided by -39.\nAnswer: 2401811\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 - 93544*d\/5 - 31181\/5.\nAnswer: -(d + 31181)*(3*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-42))\/(33\/(-18711)*27)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8058 + 12192. Is l a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3040006)\/(-6) - 1)\/(8\/(-48)). Round j to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvvhgt. Give prob of picking 2 v and 2 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 40 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49542551 to the power of 1\/2, to the nearest integer?\nAnswer: 7039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27939598 to the power of 1\/2, to the nearest integer?\nAnswer: 5286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.07 + -0.93. What is the nearest to -0.1 in -115, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**16\/a)\/a)**(-2\/21)\/((a\/(((a*((a**(2\/9)*a)\/a)\/a)\/a)\/a))\/(a\/(a\/(a**3*a)*a))) assuming a is positive.\nAnswer: a**(-82\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.61 - -1.34. Let q = 0.37 + w. Let h = 16 - 19. Sort q, h, -5 in descending order.\nAnswer: q, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*h - 15 = 2*q, -5*h = 0. Suppose 3*a = q*s + 28, -s + 0 = -a + 8. Suppose 0 = 2*r + 4*i + a, r + 4*i = -2*r - 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**12*z)\/((z*z\/(z\/(z\/z**(-9)*z*z)))\/z))\/(z\/(z\/((z\/z**3)\/z)))**(-44))**(2\/7))**(-35) assuming z is positive.\nAnswer: z**1310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 4*f + 5. Let v be o(-5). Let a = -477 - -479. Suppose -4*c - 8 = 0, 2*u - 14 = 5*c + a. Solve 3*d = -v*y + 4*y - u, -24 = -3*y - 5*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:33 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/1*(-18)\/15. Solve -14 = -4*b + v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + 15 + -25)\/(3\/(-57100)). Round u to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 129 - 5 = 0. Calculate the remainder when q is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060 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: Suppose p - 4*p + 15 = 0. Suppose 9 = p*r - 6. Factor -2*v + v + v - r*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxt when three letters picked without replacement from lqxxhhthhqhqqhh.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*-70.61\nAnswer: -211.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2233262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7833*t**2 + 7834*t. Let s(d) = 15665*d**2 + 15670*d. Let r(x) = 2*s(x) - 5*y(x). Solve r(b) = 0 for b.\nAnswer: -1566, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*z - z + 3*z)*(2*z - 2*z + z) + 1 - 1 - z**2)*(1388*z**2 + 9*z**2 + 1052*z**2) as a*z**4 + c*z**3 + m*z + b + g*z**2 and give a.\nAnswer: 2449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i)\/i*i**2\/i*i*i*i**(-2\/7)\/i*i**(1\/3))\/((i**(-2\/3)\/i**(2\/5))\/((i**(5\/2)\/i)\/(i\/(i*i\/((i\/((i**(-2\/11)\/i)\/i))\/i))))) assuming i is positive.\nAnswer: i**(3413\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:03 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 897047.959 to the nearest 100.\nAnswer: 897000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1732 - -989. Is s less than or equal to -743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g**15)\/(g**(2\/31)\/(g**(-1\/9)\/g)) assuming g is positive.\nAnswer: g**(7435\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10289, 24776, 48915, 82700, 126125?\nAnswer: 179184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610048 times -0.2?\nAnswer: 322009.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1105248 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/6 - 42\/6. Does 19 divide (146\/(-6) + -1)*156\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quiriki. Give prob of sequence rku.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 156 - -0.1158\nAnswer: 156.1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/5*(-135)\/54. Let m(w) = -11*w**2 + 86*w + 18. Let o be m(u). Solve 3*y + t = -8, 0 = -5*y + o*t - 24 - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210 + 222. Suppose y + 2*j - 31 = 0, -7*y + t*y - 125 = 5*j. Calculate the remainder when 133 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-35)\/15 + (-43248)\/(-33048)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 640*o**4 - 55*o**3 - 6950*o**2 + 11480*o - 5120 = 0. Calculate o.\nAnswer: -128, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.20494 + 2.20494. What is the nearest to z in 2\/11, -0.5, -3, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 182*m**3 + 3*m**2 - 18*m - 20. Give y(-1).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 29 = -6*k + 41*k, -4*k + 371*p - 4 + 2 = 373*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x - x - 4*x)*(3 + 1 + 0) + 2*x + 2 - 2)*(370 + 801 - 1814*x + 1812*x).\nAnswer: 12*x**2 - 7026*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/7, -6.\nAnswer: -6, -3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 92720.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13540 + 3362 - 4*i - 16157 + 6*i.\nAnswer: 2*i - 26335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -654, 11, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1028 (b) 1 (c) -36 (d) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933*z - 753*z = 217703340. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11721\/13 - -901. Let b = 3\/26 + k. Let z = -1225.6 - -1225. Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.5, -38 in ascending order.\nAnswer: -38, -0.6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (72\/(-20) - -3)*-5 + 2891. Factor -92*n**3 + 43904 + 168*n**2 - x*n + 90*n**3 - 1810*n.\nAnswer: -2*(n - 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)\/(y\/y**5*y))\/(y**1)**3 assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1199*m**2 - 1956*m**2.\nAnswer: -757*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -713, -1423, -2133, -2843, -3553?\nAnswer: -4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.161 + 0.161. Which is the closest to -0.1? (a) f (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7085 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*q**5 + 5*h**3*q**2 - 46*h**3 + 145*q**3 + q**2 wrt q?\nAnswer: 120*h**3*q**2 + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1747 - 1746.5. Which is the nearest to -46? (a) 6 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8\/7 (b) 2\/17 (c) -3\/100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t - 2*n - 17 = 0, -2*t + 14 = n. Let j = -69 + 80. Solve 5*v = -t*a - 50, -j = 2*v - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let u(w) = 2719*w. Give u(q(s)).\nAnswer: 5438*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 22*b**2 + 14*b + 7. What is f(-4)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -9\/10714, -0.08, 3 in increasing order.\nAnswer: -0.08, -9\/10714, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) 2.73 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 + 11*i**2 - 40*i + 28 = 0. What is i?\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/7 + 22*d**4\/7 + 20*d**3\/7 = 0. What is d?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2. Let l(a) = 8*a**2. Let f(g) = g**2. Let n(c) = 5*f(c) - l(c). Determine n(o(x)).\nAnswer: -363*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w = -7*w + 3660 - 3924 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 725, 1379, 2093, 2891, 3797, 4835, 6029, 7403?\n\"Answer: 4*q**3 + 6*q**2 + 608*q + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 144*v**2. Let t(d) = -29*d**2. What is 6*b(q) + 32*t(q)?\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*m - 7*m. Let i(j) = 6*j + 44. Let r be i(m). Let x be 2\/r - ((-15)\/(-20) + -1). Sort -7, 2, 3, x in descending order.\nAnswer: 3, 2, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2101133?\nAnswer: -2101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -279 + 291. Calculate the greatest common divisor of c and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33441310 (base 7) in base 3?\nAnswer: -12110101021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569, 545, 505, 449, 377?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6561926*z**2. Let m(v) = -2*v - 1. What is m(o(s))?\nAnswer: -13123852*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -183, -18, 3, -6, 6.\nAnswer: -183, -18, -6, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.15 + -51. Let f = -743\/35 + 109\/5. Sort -0.5, f, n in increasing order.\nAnswer: -0.5, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**3 + 18*g**2 - 18*g. Let l(b) = -b**3 - b**2 + b. What is -2*a(j) - 36*l(j)?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 7 + 19. Differentiate -31 + 36*a**m - 14 - 26*a**4 + 9 - 4*a**3 wrt a.\nAnswer: 40*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, l: 2}. What is prob of sequence klkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-35 - -13 - (-1 + -3 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -36, 280, -1 in decreasing order.\nAnswer: 280, 3, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.174 - 0.486. Let n = 0.112 + l. Which is the nearest to -0.2? (a) -3 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 48\/(-3) - 2. Sort -3, q, -5 in descending order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v - 9. Let u(b) be the second derivative of 2\/3*b**3 + 5\/2*b**2 + 0 + 3*b. Calculate 3*h(x) + 5*u(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5544 and 157\/792.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (7 - 14) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -60, -2, 0.144, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 = 3*v + 2*v, 0 = 5*v + 5. Suppose 1 = 4*r - 7. Suppose 0 = -5*x + 2*i + 69, b*x = x + r*i + 39. What is the highest common factor of x and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-594)\/(-24)))\/(4\/10)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4312164 and 3851105.\nAnswer: -461059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 108 + 32. Calculate the lowest common multiple of p and 14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2652319 and 3018?\nAnswer: 15913914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047 less than -0.4?\nAnswer: -0.3953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 13*v**2 - 9790*v + 146406. Calculate c(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11790 - 11789. Which is smaller: -1\/13270 or u?\nAnswer: -1\/13270","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + a + a - 119, -36*f + 267*a - 1312 = 272*a for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 + 10. Let k(g) = -3*g - 2. Let x(t) = -2*t - 2. Let n = 76 - 77. Let r(w) = n*k(w) + x(w). Give r(q(i)).\nAnswer: -3*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 64\/(-24))*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -49. Let w = j + 15.0015. Round w to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x**2 + 1\/7*x**4 + 0 + 0*x - 6\/7*x**3.\nAnswer: x**3*(x - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3382437 times -4\nAnswer: -13529748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -14544 less than or equal to -14545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 13) in base 12?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*a - 555*a - 730*a**2 + 277*a.\nAnswer: -730*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3316 + 3316 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001001 (base 2) to base 14.\nAnswer: 2db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**3 - 13*r**3 - 10*r + 2032*r**2 + 11*r - r**3 + 28*r**3.\nAnswer: 38*r**3 + 2032*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 24, 3*u - n = 3234 + 2418. What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(2100) - sqrt(21))\/sqrt(7)) + -3 + -2 + sqrt(3))**2.\nAnswer: 70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101324464.\nAnswer: 2, 2269, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 20*k + 5. Let x be w(-10). Let f be (-79)\/(-7) + 50\/(-175). Solve -36 = x*g - f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 12353 = 523. Calculate the lowest common multiple of g and 60.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 4*r**2 - 2201*r - 10975. Determine t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801*n - 796*n = -4*z - 124, 0 = -4*n + 11*z - 85 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*v**2 - 100*v**2 - 99*v**2 - 24*v + 24*v + 276*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368*r**4 - 1053356*r**3 - 214818064*r**2 - 4567255196*r + 13356384 = 0. Calculate r.\nAnswer: -373, -24, 1\/342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.825692 less than 3?\nAnswer: 2.174308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.6 = -0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5 - 278*a**4*j**2 - 20*a**2 + 3*a*j**2 + 1 wrt a.\nAnswer: -120*a**2 - 6672*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 4, v: 2, x: 1, q: 1, e: 4}. Give prob of sequence ivee.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*b = 72 - 3273. Calculate the remainder when 36 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from {w: 1, m: 2, g: 7, t: 3, p: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.63641 days in weeks?\nAnswer: 20.37663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n - n + 3*n)*(1 - 1 - 2) + n + 3*n - n)*(4 - 5 - 1).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31037 - -3.\nAnswer: -31034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119453907?\nAnswer: 3, 39817969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 2*x - 9*x + x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/46 and 131\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5383379.333 + 5380972. Let y = -2406 - u. What is y rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3004.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2907 = 73*m - 76*m. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**5\/20 - 5*k**4\/3 + 11*k**3\/3 - 49*k**2\/2 + 390*k + 3. Give y(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/40)\/(2\/(-36)). Let y = -13\/5 - k. Which is the smallest value? (a) -0.5 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4264611.\nAnswer: 3, 13, 43, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 48. Let w = 60 + 0. Calculate the highest common factor of w and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 - 103*i - 23. Determine h(21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/30*(5*1)\/(16\/(-48)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 148175, 148187, 148199?\n\"Answer: 12*b + 148163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqeddie. Give prob of picking 1 e and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 + 80*b**3 + 148*b**2 + 72*b = 0. What is b?\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7600710 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose d - 25 = -5*p + 2, -d + p = 3. Factor z**x + 6*z - 4*z - 1 - 2*z**d.\nAnswer: -(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171e4e (base 16) in base 9?\nAnswer: -2758268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 518\/(-98) + -1*(-8)\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66610 divided by -5.\nAnswer: 13322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Let s = -1 - -4. Let y = s - n. Which is the nearest to 0.1? (a) 4 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231101 (base 9) to base 10.\nAnswer: -670033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let t(x) be the first derivative of -17*x**3 - 2 + 28*x**3 - 14*x**3. Give t(p(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 5*o**6\/24 - o**5\/12 + 5*o**4\/24 - 4486*o**2. Let g(a) = 13*a**3 - 3*a**2 + 3*a. Calculate -10*g(w) + 6*x(w).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -21 + 25\/2*c**4 + 2*c + 20\/3*c**3 + 4\/3*c**2. Factor h(x).\nAnswer: 2*(15*x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 6*d + 10. Let q be l(2). Is 15 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.112666 + 64.918334. Let q = i + -65. What is q rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffftfffffffftfffff. Give prob of sequence tf.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -9. Let t(l) = -5*l + 5. Let n(f) = -3*f + 95 - 179 + 87. Let x(v) = r*n(v) + 4*t(v). Determine x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157)\/9 - (-12)\/33*51\/(2754\/66).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z**2 - 8*z - 38*z**2 - z**2 - 41*z - z + 50*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 404217854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 6. Suppose 2*m - 3*v - v = 16, 2*v = 5*m - 24. Let y be h(m). Let g(o) = 3*o**2 + 2 - o**3 + 2*o + 0*o**2 - 5*o**2. What is g(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 + 10. Let n be 3\/12*2*2. Let c = n + 6. Let w be g(c). Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*y + 809*y - 152592 = -163*y - 379*y for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 - 355?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 1. Let c be ((-4)\/10)\/(2\/10). Suppose -18*r + 22 = -7*r. Let f be r\/((c - 0)\/(-1)). Give k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 19*f + 2*s, f + 2*s + 54 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 42 = 19*g. Let m(f) = -f**3 - 13*f**2 + 15*f + 16. Let k be m(g). Solve 12 = 4*c, -k + 1 = a + c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 21*r - 1. Let t(n) = 43*n - 2. Calculate 11*o(c) - 6*t(c).\nAnswer: -27*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + (-1528)\/960 - -2. Let y(d) be the third derivative of 0*d + g*d**6 + 0 + 0*d**3 + 0*d**5 - 1\/24*d**4 - d**2. Find w such that y(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43589076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40444 (base 7) in base 16?\nAnswer: -2668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:36 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25 + 2*t - 2*t + 2*t. Suppose -30 = 7*v - 9*v. Let u be k(v). Solve 8 = -f + u*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + 4*l + 3. Let q be o(-3). Suppose -2*j + 31 = q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:46 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, v: 2, x: 3}. What is prob of sequence xv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93385.983 rounded to the nearest one hundred?\nAnswer: 93400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -54891*c + 439164. Give w(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 3*p - 2*p**2)*(-p + 3*p + 0*p)*(6*p + 2*p - 4*p).\nAnswer: -16*p**4 + 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24720, -98903, -222540, -395631, -618176, -890175, -1211628?\nAnswer: -1582535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/32 and -49\/5456548.\nAnswer: 43652384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/811, 600, 4 in increasing order.\nAnswer: -2\/811, 1, 4, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 0.18. Let c = -0.02 + 0.02. Let b = c + -0.2. What is the nearest to -1 in t, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 2750?\nAnswer: -2750.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -18. Let c = l - -43. Let a = -9 + c. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31159511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = -0*g. Suppose -g*m = -x - 13, 5*m + 4*x = 3*x + 23. Solve 4\/7*t**3 + 0 - 4\/7*t + 2\/7*t**2 - 2\/7*t**m = 0 for t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004166791 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.997746 + -898?\nAnswer: -901.997746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -45*a**2 + 1012*a + 13. Let k(q) = -17*q**2 + 337*q + 5. Give 8*k(l) - 3*t(l).\nAnswer: -l**2 - 340*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*y = -64, -73 = 2*v - 5*v + 4*y. Which is smaller: 40 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-26 + 27 - (-1 + (-4 - 2)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(9\/(-3))*-423*(-4)\/(-108)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(3) - (sqrt(12)\/sqrt(4)*-3)**2) + sqrt(3)).\nAnswer: -135 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) -9 (b) 0.3 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 353007 equal to 194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmlmllmllllmmmmmmlm. Give prob of sequence lll.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/320)\/(((-3)\/2)\/(-1)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-165))\/((-4)\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-9.951.\nAnswer: 4.9755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -3*z. Let d(t) = 3 + 6 - t + z*t. Calculate the remainder when 14 is divided by d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67329 is divided by 8289.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from hdcfddc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 4:14 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 - -0.13. What is the nearest to j in -2\/3, -5, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/12 - 842*z. Let t(y) = 2*y**2 - 3. Calculate v(t(l)).\nAnswer: 4*l**4 - 12*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230013 (base 4) to base 7.\nAnswer: -11142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 0 + 1\/4*c**2 - 839\/4*c = 0?\nAnswer: 0, 839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 - -244. Suppose -i*q - 38 = -206. Solve -2*k + 2 = q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622905.507 minutes in weeks?\nAnswer: 61.79618125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5781, 5777, 5773?\n\"Answer: -4*y + 5785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 + 1 = 0. Let g(k) = k**2 + 29*k + 76. Let v be g(-26). What is the third biggest value in c, v, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzbh when four letters picked without replacement from zttmmmzzmzmztzhbr?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*s + 12, -11 + 4 = 5*v - 4*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2768484 by -1394.\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 132*b + 1765. Calculate w(-15).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 100 = -4*k. Suppose 3*t = -2*t + k. Suppose 0 = -r + t*r - 56. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.195 less than -0.105220077611?\nAnswer: 0.089779922389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2706 minus -1?\nAnswer: -2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(91) - sqrt(91)*-2))\/(sqrt(42)\/(sqrt(12)\/sqrt(2)) + sqrt(7)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Give j(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -27. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqhqqhhhch. What is prob of sequence qchh?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -3. Let x = n + 9. Let u = x - -11. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/684 and -65\/848256.\nAnswer: 48350592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:06 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -77, -113, -173, -263, -389?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 - (-1 - 3). Suppose 0 = 2*a - 6, 4*a - 8 = 4*n - 0*a. Solve -s - v = -n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -69, -76?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/3 (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmg. Give prob of sequence gm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-3)*(-53685)\/23860.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6120*c**2*s**2 + 36*c**2 + 2*c*p**2*s**2 - 20*p**2 wrt s.\nAnswer: 12240*c**2*s + 4*c*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, -3, 3, 3865, 33, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10234911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 62 = 3*v, 2*v + 5*p = -2*v + 90. Calculate the highest common factor of v and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 74 + 10. Let q be 10324\/290 - 4\/(-10). Suppose 4*x - 96 + q = 0. Calculate the remainder when n is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179197 greater than -9497464\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*v + 3142 + 17204 = 546. Calculate the least common multiple of v and 414.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68a - -91?\nAnswer: -5c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h + h**2 + 7*h + 6 - 25*h. Let x be w(5). Let l(g) = 2*g**2 - g**2 + 3 + 2*g + 2*g. Give l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1140037768 and 0.01.\nAnswer: -0.1040037768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 169490321 divided by -15408211\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4000485, 8000971, 12001457, 16001943, 20002429, 24002915?\n\"Answer: 4000486*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y + 14. Let g(m) = 7*m - 13. Give 5*g(c) + 6*v(c).\nAnswer: -c + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 11. Let m be 9\/15 - n\/10. Let p = 3 - 3.1. What is the nearest to p in 0, 4, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = c - 12, 0*c + 4*c - 27 = -5*n. Suppose 0 = -m - c*m + a + 65, -m - 3*a = 0. Let u = -1.72 - 0.28. Which is bigger: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53\/2 - 26. Let r(q) = 2*q**3 + 2*q**2 - q. Let l be r(1). Let z = -52 - -211\/4. Sort l, a, z in descending order.\nAnswer: l, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 207*c**3 + 11*c**2 - 5*c - 5. Let r(l) = -l**3 + 4*l**2 - l - 1. What is 5*r(i) - t(i)?\nAnswer: -212*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -43*y**4\/2 - 2*y**3\/3 - 39*y**2\/2 + 37. Find the second derivative of s(a) wrt a.\nAnswer: -516*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:58 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/120*77\/3 - (-3)\/(-27). Solve 1 = -4*v + 3*p + f, 5*p - 20 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -87. Sort 0.2, 2, k, 5.\nAnswer: k, 0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39803905?\nAnswer: 5, 1663, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 15, -10 in descending order.\nAnswer: 15, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(-4\/11)*(w**20\/w)\/w*((w**(7\/6)*w*w*w*w)\/w)\/w assuming w is positive.\nAnswer: w**(1409\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1612*v + 1592*v + 260. Suppose -5*z + 3*x - 185 + 41 = 0, z - 3*x = -24. Calculate the remainder when v is divided by ((-36)\/z)\/((-3)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 - (-2 - -9))) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 3821154113.\nAnswer: -3821154112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-210)\/(-4))\/((-574)\/56 - -11). Solve 2*k - 16*k = -l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*i - 19 = 0, h - 5*i - 42 = -18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 1\/6, -7 in decreasing order.\nAnswer: 1\/6, -7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(6 + -4))\/1. Let z be 1\/(-2) + d\/(-2). Let o be 0 + z - (1 - -6). Is -6 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let p(c) = -c**3 + 2*c**2 + 4*c - 1. Let r be p(3). Let f = -1 + 3. Let d(q) = q**2 + r - f. Determine d(z(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 296.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 82\/5, -11\/3, 4.\nAnswer: -11\/3, 4, 82\/5, 265","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q**2)*(5 - 2 - 2) + (2 - 2*q - 2)*(-3*q + 6*q + 5*q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 541, 3693, 11849, 27403, 52749, 90281, 142393, 211479?\n\"Answer: 399*y**3 + 108*y**2 + 35*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlololjttjl. What is prob of picking 2 j and 1 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (sqrt(396) - 3*(2 + sqrt(396))) - sqrt(396))**2.\nAnswer: 144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3512 and 5846264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85, -79, -69, -55, -37, -15?\n\"Answer: 2*q**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(7\/4)\/(q\/(q\/q**(-1))))\/((q\/(q*q\/q**10*q))\/((q\/(q\/q**(-8)))\/q)))**44)**(-6\/13) assuming q is positive.\nAnswer: q**(3762\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0069 - -4.0069. Which is the biggest value? (a) 0.03 (b) -1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-4 - -7)) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1446.70652753 - -0.575.\nAnswer: -1446.13152753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 146.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 46*y**2 + 378*y - 29. Determine z(53).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*1)\/sqrt(12).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0884024 months in years?\nAnswer: 0.0907002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4594 - -4612. Solve -b*d = -15 - 57 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 12\/25, 0.04, -0.1, 3\/4, -4, 4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let b be 3\/((-3)\/(-2))*o. Let k be (6\/7)\/(1\/35). Solve 4*q + b*d + d = k, q + d = 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9*u = 0. Suppose u = 7*c - 2*c - 70. Let l(m) = 7*m. Let w be l(6). Calculate the greatest common factor of w and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 134750?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26217, 52436, 78655?\n\"Answer: 26219*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132501000 rounded to the nearest 1000000?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536 + 0?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 f when three letters picked without replacement from wwwwfwwwwwwfwwwf.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (0 - (-95)\/35). Which is the nearest to 0.1? (a) 7\/4 (b) q (c) 0.22 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 195775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7328807 millennia to decades.\nAnswer: 73.28807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272.99999634 - -273. What is l rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-18)\/(-12))*-10\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6773102 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 127*j**2 + 112*j**2 + 0*j + (j - 4*j + j)*(0 + 2*j + 0).\nAnswer: -19*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038 - -19.\nAnswer: 19.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**11)\/j)\/j**(-25))\/(j**(-8)*j)**7 assuming j is positive.\nAnswer: j**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 1. Let x be g(2). Let l(c) = 70*c + 6. Let w be l(x). Let n = 47 + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1390278 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/33*6)\/((4\/4)\/((-15)\/(-15)))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1. Let w(c) = 4*c - 6. Let b(g) = -3*r(g) + w(g). Let l be b(4). Calculate the highest common divisor of 91 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose 19 = 3*p + 2*k, 2*p + w*k - 24 = -p. Suppose -p*i = -10 - 5. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1887)\/(-74))\/51*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-90)*(-2)\/(2\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.65 * 0.4\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131 + 12809*f + 123 + 105 - 359 + (2 - 2 - 3)*(f + 0*f + 0*f).\nAnswer: 12806*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*q + 124 = -297*q - 276 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/5 - (3 - 8). Let d be 1*(u - 1) + (-77)\/(-11). Suppose d*f - 86 = 5*z, 3*f - 56 = f - 4*z. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (6 + -11 - -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/(2\/(-7460)). Suppose 3*w = -w + z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11063256 is divided by 442?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/60 - v**4\/24 + 24*v**2. Let d(k) = k. Give 4*d(b) + 4*n(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c. Let v(n) = -n**3 + 4*n + 4. Let s(x) = 5*a(x) - v(x). What are the prime factors of s(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2973 (base 11) to base 14\nAnswer: -1579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/60 - 7*j**4\/24 + j**3\/6 + 4*j**2. Is g(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fc8 - -50?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 1:33 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 1)*423\/(-14382)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21214 + 21468. What is the closest to 0.2 in l, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -19, -24, -31, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.99008 - -0.00992. What is the second smallest value in -1\/2, k, 78?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -1\/9, -0.1, 1, 11 in increasing order.\nAnswer: -57, -1\/9, -0.1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 32 = 80 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 6*j + 5*j = -3*q + 19*j - 6*j + 85, -5*j - 136 = -14*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u - 37*u + 5 + 11*u + 13*u. Let c(f) = 7*f**3 + f**2 - f - 1. Let t be c(-1). Calculate h(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13620, 27237, 40854, 54471, 68088, 81705?\nAnswer: 95322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 503 + 61. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000335 to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/81912964 and -41\/102391205?\nAnswer: 409564820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537 a factor of 380414961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*-2)\/(2*sqrt(125)) + 3*-1*(sqrt(1872) + 5)**2.\nAnswer: -5691 - 1796*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -3626\/67?\nAnswer: -3626\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2497, 2498, 2499, 2500, 2501?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + 66 + -12 + 9. Is 69 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 481.7, -1.\nAnswer: -1, 0.4, 481.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 2142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4890\/(-652)*(-28)\/(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23864 is divided by 132.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 + 4ab?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/55 - 124\/385. Let a = 4 + -4. Let u = a - -0.1. What is the third biggest value in w, u, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4*(-4)\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -308813\/50 + 6176. Find the common denominator of x and 43\/110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 2*r + 12, -2*r = -5*w - 1 + 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 464\/7, -1, -2 in decreasing order.\nAnswer: 464\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/54)\/((50\/(-875))\/((-4)\/5)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-5*g + 2*g - 2*g)*(-3 - 5*g + 3) to the form x + s*g + f*g**2 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11856, 23709, 35562?\n\"Answer: 11853*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -6, 26, 78, 156, 266, 414?\n\"Answer: b**3 + b**2 + 8*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**8\/3360 + t**7\/630 - t**6\/360 + t**4\/12 - 5*t**2. Let y(m) be the second derivative of n(m). Suppose y(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -3*h**7\/70 - h**3\/6 + 2*h**2. Differentiate s(t) with respect to t.\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 117, 5, -9 in decreasing order.\nAnswer: 117, 5, 4, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**2 - 7*u**2 + 2*u**2)*(3*u + 2*u**3 - 3*u) + (5*u + 6 - 6)*(-u**3 + 2*u**4 + u**3).\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Calculate the remainder when v is divided by (2 - 0)*3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146088 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 4.3. Let d be (-8)\/(-10) - 0\/(-4). What is the second smallest value in h, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 508. Give n(-43).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/29 in 5, -0.5, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50.885 - 0.115. Let p = -5.7 + 6. Suppose 2*l - 3 = -69*g + 70*g, 0 = -5*g - 3*l - 15. What is the biggest value in g, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 4617?\nAnswer: -4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1004, 3, 1 in descending order.\nAnswer: 3, 1, -1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77, -116, -153, -188, -221, -252, -281?\n\"Answer: p**2 - 42*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 6:32 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27091536 is divided by 13545763.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, 1\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 2*w)*(-1 - 2 + 1) - 4 + 4 - w + 3*w - 3*w - 2*w - 3*w - 2*w - 3*w - 3*w - 4*w + 3*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 30*u + 212. Let k be q(6). Which is the second smallest value? (a) k (b) 8 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = -g - 2*g - 68, -6*g - 10*h = -13*h + 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - sqrt(114)*-3*-4)\/(sqrt(6) + (sqrt(126)\/sqrt(3))\/sqrt(7) + sqrt(6))*-3.\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**3 - j + 2. Let y be d(1). Suppose 5*n - 22 = 3*x, -7*x = n - 4*x + 10. Let h = n - y. Solve -h - 11 = -2*g + 4*u, -5*g + 5*u = -35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11540 - 23440?\nAnswer: -11700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.3 in -1\/3, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:48 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + -0.06. Let h = n + -1.03. Which is the nearest to 2? (a) h (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 263*u**2 - 137*u + 663. Give w(132).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145.6814 + 103.6787. Let j = -42 - o. Round j to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 7*v**4\/12 + v**3\/2 - 5*v**2\/2 - v. Let w(g) = 4*g**2 + g - 3. Let f(i) = -3*t(i) + 5*w(i). Let n be f(-4). Is n <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**37\/(r\/r**(25\/4)) assuming r is positive.\nAnswer: r**(169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*h - 6*h**2 + 44*h)*((2*h - 3*h + 4*h)*(0 - 5 + 3) - 2*h - 2*h - 4*h + 6*h - h - 3*h).\nAnswer: 72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 + 232. Solve -5*n + 1 - 4 = -2*a, -3*n = -2*a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 u, and 1 b when four letters picked without replacement from quubuxxbquqqbbbibuq.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221\/144360 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7775760 and 2?\nAnswer: 7775760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -495 - 993?\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 2, m: 1, e: 1}. Give prob of sequence mu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8293 + 16835 - 8542 + 642*m.\nAnswer: 642*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888 and 220800756.\nAnswer: 441601512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 39574466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2 + 176*k - 1936 = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 429.82 (b) 198 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22\/3 - -8. Let f = -13\/10 + 4\/5. What is the nearest to f in x, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 360 + -360. Suppose 3*p - p = -4*f + 258, h = f + p - 65. Calculate the greatest common divisor of 224 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1*(12 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1128, 153 in descending order.\nAnswer: 153, -0.1, -1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34137230?\nAnswer: 2, 5, 3413723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -361989.07 from 196.\nAnswer: 362185.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-1)\/2)\/((-13)\/52). Let j be (-23)\/n + 18\/36. Is j > 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221192329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 38 - 2 - 34)*(-4*w**2 - 2*w**2 + 3*w**2).\nAnswer: -6*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9)\/((-2)\/24). Suppose 82*m + f = 86*m. Let n(t) = -7*t + 2. Let a(z) = -21*z + 7. Let g(c) = 2*a(c) - 7*n(c). Calculate g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 0.118?\nAnswer: -2.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -5. Calculate the remainder when 35 is divided by (1\/(-2) - 0)*d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-182))\/((-3)\/7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*c**2 - 2\/3*c + 4\/9.\nAnswer: 2*(c - 2)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -100001?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1956 + -1937. Solve -9*v + j = 64 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9 + 6)*(11*m + 12*m - 9*m) - 7*m + m + 4*m in the form b*m + k and give b.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x - 14. Let y(f) = f + 26. Let v(p) = -p - 13. Let c(z) = 13*v(z) + 6*y(z). Let n(l) = 5*c(l) - 4*o(l). Let a be n(-5). Solve 10 = -h + a*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/13 - 14*p**4\/13 - 32*p**3\/13 - 24*p**2\/13.\nAnswer: -2*p**2*(p + 2)**2*(p + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, -0.1, 0.15, -36\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**8\/336 - b**6\/40 + b**4\/24 + 105*b**2. What is the second derivative of r(k) wrt k?\nAnswer: 20*k**3 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 25344*p + 1 + 5*p**2 - 4*p**2 - 25345*p. Let h(o) = 9*o**2 + 6*o - 8. What is h(y) + 6*t(y)?\nAnswer: 15*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.129 (b) -9 (c) -4 (d) -44.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1819 in 0.1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1584) - sqrt(1584)) + sqrt(1584))**2 + 0.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*u - w, 2*u + w + 10 = -2*w. What is the lowest common multiple of (u - 0 - 6) + (-22 - -48) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 456*z - 16339 + 16339 to x + r*z and give r.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 15*x**2 - 19*x - 9. Let i(k) = -k**3 + 21*k**2 - 37*k - 6. Let t be i(19). List the prime factors of s(t).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 - (1 + -1). Let l(d) be the third derivative of 7*d**4\/12 - 6*d**3 - 4*d**2 + 5*d. Let z be l(3). Solve -z*a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(28) + 0 + -1 + 1 - (sqrt(280) + (-2*sqrt(280) - sqrt(280))*2 - sqrt(280))\/sqrt(10)) + 0)**2*-1.\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309 and 478332.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 4*w + 0*w)*(-4*w + 2*w + 3*w) + 3*w**2 - 1 + 1 + (3 - 3 + w)*(0*w - 3*w + 4*w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -44, -45, -46?\n\"Answer: -h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*h + 3432*h - 1336*h + 121*h in the form i + j*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -1 (c) 0.1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 10669*f**2 + 74735*f - 2. Calculate g(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -353\/9. Suppose s = -2*g - 10, 6 = -s - 4*g - 0*g. Let n be 2 - (-12)\/s*2. Which is the nearest to -1\/2? (a) 1\/3 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114782, 229563, 344344?\n\"Answer: 114781*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.5. Let i = b + -0.49994. Round i to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 66. Let f = a - -29. Suppose -h + 6*h - f = 0. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(6\/11)))\/g**(2\/73)*g**(-10)*g*g\/((g\/(g*g**(-5)))\/g*g*g) assuming g is positive.\nAnswer: g**(-10826\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(45) + sqrt(45))\/((-1*sqrt(108))\/sqrt(12)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174 - -33. Let h be m\/(-9) + 2\/6. Solve -r + h = 2*r + 5*q, 3*q = 3*r + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 23 = -2*n, -85 = 3*o + 2*o - 4*n. Let p = o + 18. Let a(x) = -p*x + 6*x + x. Let v(i) = 46*i. Determine a(v(u)).\nAnswer: 92*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18161 (base 9) to base 10.\nAnswer: 12529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3 - 8 - 60*g - 6. Let o = 4258 - 4260. List the prime factors of v(o).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298 + 1321 - 1029 = 106*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(3 - (-2)\/1) + (-782064)\/(-360). Calculate the highest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 17. Suppose 5*o - o = 0. Let k be o + (h - (-1 + 2)). Is 0 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 15, -4*j = -3*q - 485 + 465. Factor 0 - 4\/3*d**3 - 5\/3*d**2 + 1\/3*d**4 + q*d.\nAnswer: d**2*(d - 5)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12476 smaller than -12474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 - 71*t + 2884\/3.\nAnswer: (t - 412)*(t - 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246023, -984094, -2214221, -3936410, -6150667, -8856998?\nAnswer: -12055409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 12*o**2 + 10*o + 43. Let n be h(-26). List the prime factors of (-2)\/(-7) - n\/(-49).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116402 is divided by 155?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-14))\/(1855\/(-2597)). What is the closest to 1\/3 in -5, -25, g, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7902032 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.581 + -0.28. Round d to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 415\/119, -5, -5.8, -4.\nAnswer: -5.8, -5, -4, 415\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1165909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 68421*u**4 + u**2 + 7904*u**3 + 0*u + 0*u - 68423*u**4 as y + v*u**2 + d*u**3 + i*u**4 + j*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - -2*sqrt(65))*6)\/(sqrt(5) - (sqrt(25)\/(sqrt(5)*1) - sqrt(5))).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 10 - 63 = 64 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*u**2 - 85*u**2 + 552*u**3 + 5 - 550*u**3 + 15*u to s*u**3 + r*u + l*u**2 + k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5 + 86*b**4 - 1529*b**3 + 2476*b**2 + 4092*b = 0.\nAnswer: -1, 0, 3, 22, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-253 - 53*f + 253 + 267*f + 55*f)*(-9*f**3 + 13*f**3 + 8*f**3) to the form x*f**2 + t*f + m*f**4 + v + s*f**3 and give m.\nAnswer: 3228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191.07 + 190. Let c = 0.07 + h. Let o = 351 + -355. Put c, o, 0.03 in decreasing order.\nAnswer: 0.03, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 + 35*x + 258. Calculate v(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g + 13*g + g + 3*g - 4*g. Let r(x) = 8*x + 1. Calculate 2*m(p) - r(p).\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 7\/45, 159 in ascending order.\nAnswer: -2\/5, 7\/45, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgnnkmfk. What is prob of picking 1 n, 1 g, and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 37 + 2*b - 76 + 36 + 29. Let v be y(-13). Which is smaller: v or -1\/62?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -88*s + 1. Calculate o(-1).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 - -216. What is the remainder when p is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/451 or 0?\nAnswer: 2\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*s + 9. Suppose -3*t + s*m = 4*m - 2, 2 = 2*m. Suppose -4*v + t*v + 73 = 3*r, 2*r + 3*v - 47 = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 - 151 = -2*z + 3*v, 3*z + 4*v = 514. Suppose c - z = -0*c - p, 0 = -4*p + 12. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2 - 7942*f + 55692 = 0 for f.\nAnswer: -3978, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -n, -5*n - 11 = -5*w - 4*n. Solve 0 = -z + w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2441\/42 - -371\/6. Find the common denominator of u and (3*2\/(-4))\/(17\/(-22)).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1655, 1648, 1629, 1592, 1531, 1440, 1313?\n\"Answer: -f**3 + 1656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5)\/((-2)\/25). Is (-5)\/(h\/(-138)) + -1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + 2. Let d be (-2)\/(-11)*(4 - 9)\/(-5). Which is the nearest to -0.1? (a) z (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*d + 15, 4*h + 2*d = d + 20. Calculate the lowest common multiple of h and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49032242459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1050*o**3 + 1051*o**3 + 2*o**2 - 50 + 179 + (-2*o - o**2 + 2*o)*(-2*o + 4*o - 3*o).\nAnswer: 2*o**3 + 2*o**2 + 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 2 - 6*z + 6*z)*(1 - 1 - 2)*(1 + 7 + 2).\nAnswer: -120*z + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79605 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3072144 divided by 4.\nAnswer: -768036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166\/5 - -33. Suppose 0 = -j + d - 4 + 3, 0 = 2*d - 2. Suppose 5*p + 2 = -c, p + 3*p = j. What is the third biggest value in n, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/15024 and 71\/35520.\nAnswer: 11117760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + w - 4 = 0, 5*w + 1 = -19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7.5. Let n = b - 3. Let d = -4 - -4.5. What is the nearest to 0.1 in d, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 54 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 14 = -2, -3*y = -2*s + 8. Solve y = 5*f - 10*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -4, -0.2, -2\/19, -3\/383?\nAnswer: -3\/383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/7*q**2 + 8\/7*q - 4\/7*q**3 + 2\/7*q**4 + 8\/7 = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*c - 72 = 67*c. What is the first derivative of 2*h**2 + 13 - h**2 + 372*h**3 - 385*h**3 + c wrt h?\nAnswer: -39*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028*(1\/(-1) + (-10)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.02 - 15. Let m = u - -0.034. Let p = m - -0.021. What is p rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) -1\/4 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -1\/30*m**6 + 0*m**5 + 0*m**2 + m + 0*m**4 + 0*m**3 + 0 - 1\/42*m**7. Solve b(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 1. Let l be m(3). Let x be (-4 + 3)\/(-1*1). Is 20 a factor of -1*l*(x + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8216 and 23621.\nAnswer: 188968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1976781 and -5.\nAnswer: 1976776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-350)\/(-7))\/(2 - (0 + 0)). Suppose g = -0*r + 5*r. Solve 2*l = l - r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33222 divided by -49.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 2*p = -10, 0 = 5*k + 4*p - 19. Suppose -k*b + 8 = b. List the prime factors of (9\/15)\/(b\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 1 + 6 + -33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 1. Suppose 8*l = 3*l - 5*h - m, -3*h - 20 = 4*l. Let y = 31\/87 - 2\/87. What is the second biggest value in -1\/4, y, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p - 3*p - p)*(1 + 0 - 3*p**2 + 2*p**3 - 2) to the form o + n*p**3 + t*p + l*p**4 + s*p**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -35.52. Let f = -0.56 - l. Let u = -327 + 326.5. Which is the nearest to 0.1? (a) f (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64731, -258994, -582825, -1036272, -1619383, -2332206, -3174789?\nAnswer: -4147180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 14) + (4 - (-3 + -3 + 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 526+-7302719\nAnswer: -7302193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3629031?\nAnswer: 3, 7, 29, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 16*a**2 + 16*a + 15. What is d(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*-6*1)\/((sqrt(10) - -1*sqrt(250) - sqrt(10)) + (5*sqrt(30)\/sqrt(3) - sqrt(10))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqu when three letters picked without replacement from nquuuquuqqnuuuquq?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3 + 12*w**2 + 29*w + 18 = 0.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*h**2 - 11*h**2 + 40*h**2 + 0*h + 4*h.\nAnswer: 62*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5207*i**2 + 5*i - 8. Let x = -7 + 13. Let m be (4\/x)\/(8\/132). Let p be q(m). Round p to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 + 2*i - 6. Let w be b(2). Solve 5*t - 22 = 2*t + 5*o, -w*o = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 1\/5 (c) 648 (d) -166 (e) -2\/3 (f) -1\/10 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5130664 divided by -4\nAnswer: -1282666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1968, 3914, 5860, 7806, 9752?\nAnswer: 11698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 64\/30 - (-16)\/(-120). Suppose 3*t = -3*z - m*t - 11, -3*t = 3*z + 3. Factor 1\/4*r**4 + 1\/8*r**5 + 0*r**z - 1\/8*r + 0 - 1\/4*r**2.\nAnswer: r*(r - 1)*(r + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r + 365 - 344 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726509.\nAnswer: 3, 575503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1874*c. Let w(l) = -2*l**2 + 131. What is s(w(m))?\nAnswer: 3748*m**2 - 245494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20359 times 0.07?\nAnswer: 0.0142513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 8:37 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from {j: 2, h: 4, q: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101021 (base 3) to base 7.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 1, w: 6, e: 2}. Give prob of picking 1 f, 1 l, and 1 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.38 - 0.18. Let r = q + -6. What is the closest to 0.1 in r, 1\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22212333332 (base 4) to base 14\nAnswer: 52579c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 45 = -2*u - 39, 0 = 3*u - 4*r + 112. Let s = 38 - 55. Let z = s - u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-22) + (-6466232)\/(-98516).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -13.2?\nAnswer: -277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**3 + v - 1. Let l(d) = 17*d**3 + 5*d**2 - 37*d - 3. Determine -l(z) + 3*s(z).\nAnswer: -2*z**3 - 5*z**2 + 40*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (51 - 11) + (309 - 235)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(0 + sqrt(500) + 2).\nAnswer: 14 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tssstttt. Give prob of sequence sttt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3247 - -3310. Calculate the greatest common factor of 24759 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166331 to the power of 1\/2, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -158, -136, -114, -92, -70?\n\"Answer: 22*g - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -989 - -345. What is the common denominator of 2\/(136\/6)*-1 and -9 + (r\/(-88) - 0)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599417734.\nAnswer: 2, 3, 1723, 251443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 24 = -4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3315 (base 8) to base 3\nAnswer: -2101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1557)\/(-7266))\/(6\/8))\/((-235)\/120 - -2)?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, -18, -176, -406, -714, -1106, -1588, -2166?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2545 (base 6) in base 5?\nAnswer: -10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 3. Let m be (39\/65)\/(2\/20). Let i be (-2)\/m*3 + -5. What is y(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -90\/13*o**2 - 378\/13*o + 2\/13*o**3 - 432\/13 + 2\/13*o**4 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.861368 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61664*i**3 + 185053*i**3 - 61677*i**3 - 61667*i**3.\nAnswer: 45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -111, -2, -3, -0.2, 4\/3, 94.3?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-0.925036\nAnswer: -1.125036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23978 and -3?\nAnswer: 23975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u. Let n be (u\/(-2))\/(-2 - -3). Let h = 1.1 - 0.1. Sort n, h, 4 in descending order.\nAnswer: 4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 75. Put -3, 32, -5, n in increasing order.\nAnswer: -5, n, -3, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6096 and 769620.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2598*b**3 + 12*b**2 - 17411*b - 1 wrt b.\nAnswer: -15588*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 2*h**2 + 9*h - 2. Let k(y) = -y + 1. Calculate -a(d) - 2*k(d).\nAnswer: 2*d**3 + 2*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 16*u**2 + u - 4. What is b(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1047556\nAnswer: -4190224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -283134.58 take away -122.6?\nAnswer: -283011.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001065 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 2*p**2 - 11*p. Let v(x) = x**3 + 2*x**2 - 11*x. Determine 5*i(y) - 6*v(y).\nAnswer: -y**3 - 2*y**2 + 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/3 - 424*o - 6510 = 0.\nAnswer: -15, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4418 is divided by 464?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -21*b**2 + 36*b + 7. Let d(q) = 7*q**2 - 12*q - 2. Let r(k) = -14*d(k) - 4*w(k). What is the second derivative of r(n) wrt n?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -455178 and -455179 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-35)\/300 - 2\/(-3) and 55\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224270344 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 95*d**3*f*t + 7*d**3*t - 2*d**2*f*t + 2*d*f + 2*d + t wrt f?\nAnswer: 95*d**3*t - 2*d**2*t + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1599531919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1215 - 1197 = -6*d. Sort 4, d, -2, -30 in increasing order.\nAnswer: -30, d, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 11}. What is prob of sequence xxcx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, -1.5, -1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = c + 2*y, 4*c - y + 56 = -64. Let w = c - -33. Solve w = -2*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmhphmvmh. What is prob of picking 1 p and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -5*f**3\/3 - 16*f - 9. What is the first derivative of z(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 925945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - -111?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u + 67. Let y be r(-7). Suppose y*f - 48 = -12*f. Factor 4\/5*q + 0 - 4\/5*q**2 + 1\/5*q**f.\nAnswer: q*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 757, 2445, 5661, 10897, 18645, 29397, 43645?\nAnswer: 61881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/189)\/((-3)\/((-9)\/(-2))). Let y = 3 + -5. Put v, -0.5, y in descending order.\nAnswer: v, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 13) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, w: 4}. Give prob of sequence cww.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/(-78))\/(3\/6))\/((-2)\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s + 183 = -174. Let z(u) = -u**3 - 2*u**2 + 3*u + 7. Let q(y) = y**3 + y**2 - 2*y - 4. Give s*q(l) + 4*z(l).\nAnswer: 3*l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -29 + -9 + (-10 - -4 - -2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 12*i**2 - 13*i + 9. Let f be v(-11). Let s = f - 14. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2. Let c be -1 + 9 - (111 - 103). Let r(x) be the second derivative of c - 9*x + 0*x**2 - 2\/3*x**3. Calculate j(r(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6))\/(34\/51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295404284*v**6 + 501663694*v**2 wrt v?\nAnswer: 35448514080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4419 is divided by 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/483 + 2\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 25*n**3 + 4*n**2 - 5*n**2 + 2 - n. Let q be b(1). Calculate the lowest common multiple of (4\/(-8))\/((-2)\/q) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 112*y = 113*y + 16, 4*y + 14 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10836903 to the nearest ten thousand.\nAnswer: -10840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 617*u + 5555. Let k be c(-9). Let l(f) be the first derivative of -f**3 - 15 + 3\/2*f**k + 0*f. Factor l(m).\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -4 - -2)*110\/4. Let c = d + 471. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*i = 5, -18*i + 1 = -k - 21*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + i - 549, 7 + 2 = -3*i. Solve -b*n - 105 = -159*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6911 = 8*o + 1279. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 366*c*m**2 + 2*c + 831*i**2*m**2 - 25064556*i**2 + 4*i*m wrt m?\nAnswer: 732*c*m + 1662*i**2*m + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 12 - (6 + -32 + 8 + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3753 and 1112?\nAnswer: 30024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 19 = -4*w, -3*z = -4*w - 8*z - 15. Put -0.1, w, 56, 4 in decreasing order.\nAnswer: 56, 4, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 354 + 4817841?\nAnswer: 4818305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -417219 or -417220?\nAnswer: -417219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17356947*x - 15535130*x - 27819738*x - 73449181*x.\nAnswer: -134160996*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1420, 2978, 4536, 6094, 7652?\nAnswer: 9210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-661)\/(-5)*15\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4218398901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567244 (base 8) in base 10?\nAnswer: 454308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 1000302233312?\nAnswer: 1000302233330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 870*u**2 + 30*u + 5. Is p(30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35420.\nAnswer: 2, 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 + 2*i**2 + 0*i**2 + (-3 + 3 - 3*i)*(2*i + i - 2*i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 1 + i**2 + i**2. Suppose 10*c = 13*c - 9. What is the least common multiple of 6 and h(c)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1015 and 5641.\nAnswer: -572.5615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03454033 rounded to three dps?\nAnswer: -1.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89232 (base 13) to base 8.\nAnswer: 745500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 6*y + 51*y + 14*y.\nAnswer: 87*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -457 - -457. Which is the nearest to -0.1? (a) -19 (b) -5\/2 (c) 2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y + 196 = 16*y + 5*z + 161, 3 + 2 = 4*y + 7*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 43976.79 to the nearest one hundred.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-36)\/5184*-9.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153582007009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 8. Let p = -1 - -1. Let s be z(p). What are the prime factors of ((-60)\/s)\/5*-14?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/27 - 4\/(-6). Let j(l) be the second derivative of -1\/10*l**5 + 0 + 0*l**3 + 0*l**2 + 1\/6*l**4 + i*l. Suppose j(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdkd when four letters picked without replacement from kkkdddtdtttdkkd?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/4 - -1) + 0. Let j be 12\/3 - (-7 + -7). Let m be 0 + -2 + 32\/j. Which is the closest to l? (a) m (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22376*m = -22388*m + 247308. What are the prime factors of m?\nAnswer: 37, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 4) to base 15\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 f when four letters picked without replacement from ppphfpamnnphfapff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 3) to base 5.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssusuusuususssusuuuu. What is prob of picking 2 s?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 6051009*x**2 - 92*x**4 - 4*x**3 + x**3 + 6051010*x**2 as o + h*x**4 + d*x**3 + s*x + m*x**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 1643 + 820 + 823.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 2 o when four letters picked without replacement from {v: 2, x: 1, o: 4, h: 8}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/22*7\/(-3 + 10). Is -8.24 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2) - 0\/(-3). Suppose j*s - 3*s = -6. Solve 15 = -i - 4*p, s*p - 25 = 7*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78, 158, 228, 282, 314?\n\"Answer: -a**3 + a**2 + 84*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -328146 at most as big as -328143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 15265037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 200 = -3*c + 153, 5*c - 5*k = -25 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65679, -131388, -197097?\nAnswer: -262806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*c**4 - 1527240*c**3 - 19259616*c**2 + 7887112*c - 794820 = 0. What is c?\nAnswer: -13, 1\/5, 15285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154344 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 + -108. Let k = 137 - v. What is the tens digit of k\/2*252\/147?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33560, 268484, 906154, 2147948, 4195244, 7249420, 11511854, 17183924?\nAnswer: 24467008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b4 - -2?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 804 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-36) + -1*1. Which is the nearest to x? (a) -5 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34168264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + q = z - 29, -45 = -5*z + 3*q. Let j = 18 - z. Solve -5*l + 2 = j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 4, 2\/15, 16, -0.4, -8\/19, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1564765393.71388626 + 1564765412. Let w = c + -0.2861144. Let l = w - 18. What is l rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605208 and 46824.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.7089 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -p - m + 69, -102 = -20*p + 66*p - 36*p - 4*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + k - 12 + 2, m = -k + 2. Suppose -3*h + 1 = -5*z + 6, 4 = m*z. Suppose h = -2*g + g + 263. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 91687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 5. Let n be l(4). Let y(a) = n - a + 0*a + 2*a + 1. Let c be y(-4). Solve -t - 1 + 5 = c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77962 at most -3052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, -527, -526, -525, -524, -523?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - ((-34 - -62) + (0 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3856 by -8.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10242 divide 3077317945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338991108?\nAnswer: 2, 3, 59, 478801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*-6*(sqrt(637) + (sqrt(637) - (0 + sqrt(637) + sqrt(637))) + sqrt(637))*-1*2 + 1) + -5)**2.\nAnswer: -3024*sqrt(13) + 3302217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -9, 3*j - 15 = 2*z + 9. Suppose 2*k = 4*y - 16, y + 2*k = 3*y - j. Factor -16*q**2 - q - 8*q**4 + 16*q**2 + 0*q + 6*q**3 + 3*q**y.\nAnswer: q*(q - 1)**3*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -3*m + o, -4*o = 4*m. What are the prime factors of -2 - 0 - m - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.139859 - -0.1405. Round a to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1621218 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 - 8*l**2 + l. Let z(n) = -8*n**3 - 9*n**2 + 1. Let m(i) = -3*a(i) + 2*z(i). Let b(k) = 6*k**3 + k - 1. Let q be b(1). Determine m(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5852*y. Let c(j) = 34*j**2. Calculate c(r(m)).\nAnswer: 1164360736*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + 31. Suppose -2*m - s = -6*m. Calculate the remainder when (-2)\/(-6) - 1020\/(-18) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - 1.3. What is the closest to 2 in 1, 0.4, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 30*o**2 - 32*o + 47. Is 26 a factor of b(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q - 20*q + 1950. Let s be 2\/1*((-15)\/q)\/(-3). Is s at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -79*h**2 - 63*h - 364. Let i(q) = 25*q**2 + 22*q + 121. Let a(t) = 19*i(t) + 6*v(t). Give a(-37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 0.1 (b) -0.7 (c) -2 (d) -1 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4807623 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236 + -240. Let t(h) = -26*h - 1. What is the remainder when t(z) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1276433257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*w - 302*w + 603*w + 3.\nAnswer: -3*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/234*(-3)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 141*l + 2521. Let g be x(21). Solve -d - g = -2*q, 0 = -q - 3*d - 0*d + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 - 327. Let u be h + 16\/(-1) + 18. Solve -u*d = -d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9113 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 29.2. Let q = -1.15 - -1.2. Let g = 0.35 - q. Which is the nearest to 2\/5? (a) 5\/4 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-7)\/((t*t**(-1))\/t))\/((t**(-3)\/t)\/(t\/(t\/t**(2\/13)))))**(1\/21))**1 assuming t is positive.\nAnswer: t**(-8\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 0, -3, -67, 7, 5 in descending order.\nAnswer: 7, 5, 0, -3, -52, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -1.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 91. Let w(s) be the third derivative of 13\/60*s**5 + 3\/8*s**4 + 1\/20*s**m + 0*s + 0 + 1\/3*s**3 - s**2. Factor w(a).\nAnswer: (a + 1)*(2*a + 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/15 - (-30)\/10. Suppose 2*h + 3 - 9 = 0. What is the biggest value in h, q, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3790693, -7581381, -11372067, -15162751, -18953433?\nAnswer: -22744113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*c + 78*c = -4*f - 23, 3 = -c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1141823 and 2260682.\nAnswer: 2260681.8858177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:29 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2 = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*w + 5, -3*p - 5*w = -8*p + 5. Suppose -4*n - 13 + 33 = p. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122 + 122112101201?\nAnswer: 122112021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 0.1. Let g = h + 0.13000037. What is g rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**4*s**2 - 1046*g**3 + 30*g*s**2 - 2*g*s - 64*s wrt g.\nAnswer: 180*g**2*s**2 - 6276*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -150. Let f(m) = -3*m - 2. Determine 150*f(o) - 2*x(o).\nAnswer: -450*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = -192, 18*m + 92 = m + 18*m - 3*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -40)\/((-3)\/19). Let p = h - -290. Let t = p - 35\/2. Do 1\/4 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19019 - 1)*21\/14?\nAnswer: 3, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-3 - (-13002)\/2715). Let f = -2\/181 - g. Calculate the common denominator of -24\/23 and f.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 3, j: 2, m: 1, e: 4}. Give prob of sequence mj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/19)\/(w**(19\/3)*w))**(1\/36) assuming w is positive.\nAnswer: w**(-103\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*t - 277*t - 825 = -112 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 10*u**2 + 3*u + 1. What is k(9)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 5*c**2 - 3*c. Let a = 49 + -33. Let h be (-1)\/(-2)*(a - -1*2). Suppose -4*n = -1 + h. Determine p(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by -14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/21 + 58*n**3\/21 + 280*n**2\/3 = 0. Calculate n.\nAnswer: -20, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.1407 to one decimal place.\nAnswer: 35.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(190)\/sqrt(10) - -6*(3 + sqrt(19)).\nAnswer: 18 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/30 - 13*c**4\/2 - 81*c**3 - 6889*c**2. Factor d(f).\nAnswer: 2*(f - 81)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 31*h + 62. Determine l(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-1)\/((-20)\/(-24)). List the prime factors of 20 + (b + 4)*1\/(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 589578 divided by 6\nAnswer: 98263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -57465 divided by -11493\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from oloooolo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5044, -18946, -42094, -74470, -116056, -166834, -226786?\nAnswer: -295894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20319 plus 11.2902?\nAnswer: -20307.7098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11946, -11944, -11942, -11940, -11938, -11936?\nAnswer: -11934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 - -5.1. Let n = 0.2 + 0. Let k = n - w. Which is bigger: -1.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -33*y - 3. Let j(z) = -16*z - 2. Give -5*j(i) + 3*x(i).\nAnswer: -19*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7703.03979 + 7703. Let c = 0.04 + r. Round c to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 31640164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 f when three letters picked without replacement from ptbbnbtbttjtjbtbfn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152 - 144 + 80)*(-2 + 2 + h) + h + 0*h + h.\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37.9 from 824842.2499.\nAnswer: 824880.1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/8)\/((-12)\/(-16)))\/(-2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58193*g**3 - g**2 + 628*g - 4?\nAnswer: 349158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**3 - 199735*u**2 - 94570*u - 54 wrt u?\nAnswer: 24*u - 399470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 967 + -908. Put 5, v, -3, 2 in descending order.\nAnswer: v, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 28 = -3*t + l, 0 = 2*t - 4*l - 24. Let m = -23 - -38. Suppose q = -4*q - m. Sort t, q, -2 in descending order.\nAnswer: t, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 7) to base 14\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*t + 281 - 294, -5*i = -t + 39 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - sqrt(133)*2 - sqrt(133) - sqrt(133))*-1 + sqrt(133) - (-6*sqrt(133)*-1 + sqrt(133)))\/(-2*sqrt(112) + -4*sqrt(14)\/sqrt(2)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9 = -15. Let p(g) = 2*g**2 - 17*g + 7. What is the tens digit of p(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r - 13. Let f be g(4). Suppose -f - 207 = -5*y. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*h - 80*h + 1296. Let g be 4\/24 + 884\/96. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 21. Let l = t - 6. Let c(d) = d**2 - 11 - 4*d + 7 - 2 + 1. Determine c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0.3, 0.2, 0.23, 6, -66 in descending order.\nAnswer: 6, 0.3, 0.23, 0.2, -4\/9, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 2 (b) 5\/2 (c) 435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:04 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5579252 to the nearest integer?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from {x: 6, q: 8, c: 1}?\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -22, -39, -54, -67, -78?\n\"Answer: o**2 - 22*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235657727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*(-554780)\/(-100) - -9. What is a rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 1446008*l - 23137152.\nAnswer: 4*(l - 16)*(l + 361518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31129 - -49827. What is the remainder when t is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - s. Let j be y(-2). Let m be ((-8)\/6)\/(j\/(-3)). Factor -m*z**2 + 4\/7*z - 2\/7.\nAnswer: -2*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 + 1198475*n + 16777670 = 0. Calculate n.\nAnswer: -239681, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2819417 and 234356.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1120 + 745. Let o = 717 + m. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/138 + 8*p**3\/69 + 16*p**2\/23 + 19*p. Factor w(g).\nAnswer: 2*(g + 4)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42\/2291, -0.3, -1.7 in ascending order.\nAnswer: -1.7, -0.3, 42\/2291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*q**3 + 72*q**3 - 109*q**3 + (4 + 2*q**2 - 4)*(2*q - 2*q + 2*q).\nAnswer: -163*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16705 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7814, -7989, -8164, -8339?\n\"Answer: -175*f - 7639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 371061 by -4581.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4) + (-43)\/(-1204)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 51*l - 53. What is s(3)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 2*h**3 - 2*h**3)*(2 - 4 + 4) - 12 + 11*h**4 + 12 + 4*h**4 + h**4 - 4*h**4 + h**4 + 2*h**2 + 2*h**4 - h**2.\nAnswer: 19*h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 20 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8278141889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by -234\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u - 115714058 - 81069942 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2934 - 556*p + 48*p**5 - 8075*p**3 - 7188*p**2 - 1437*p**4 + 8862 - 2543 - 2665 - 12*p**5 = 0?\nAnswer: -4, -2\/3, 1\/4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -313 + 317. What is the nearest to 1\/7 in -0.7, o, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-4) - -1)\/(-1). Suppose -3*r - 11 = 1, -y*z + 7841 = -2*r. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-266)\/(-5) + (-13)\/65 - -5. Suppose 0 = -50*q + m*q - 12336. What are the prime factors of q?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:08 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 779 and 23579674?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -1.55. Let r = 1.600028 - y. What is r rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/30? (a) -0.754 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) 2 (c) -1\/3 (d) 0.6 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**6\/480 - d**4\/96 - d**2 + 3. Let m(i) be the second derivative of z(i). Solve m(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let j(y) = 6*y - y**a - 3 + 3. Let n be j(6). Solve k + n*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 2 - b - 3*b**2 + 3. Let f be 7\/(21\/24) + (-6 - -3). Suppose 3*l + f*z - 17 = l, 4*l - 1 = z. Calculate k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 687 + 8*(5 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l + a - 27, 2 = a. Let f(v) = 5*v + 5. Let q(b) = -4*b - 4. Give l*f(y) + 6*q(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -7 - 2\/(-3*(-1)\/(-59595))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = -0*x. Factor b**2 - 2 + b - x*b - 2*b - 2*b**2.\nAnswer: -(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**2 + 3*b + 1. Let m be (-522)\/(-30) + (-4)\/10. Suppose -3*z = -2*s + m, s + 5*z + 7 = -s. What is p(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 11*q - 16 = 0. Suppose q*t + 1747 = 5307. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222662 (base 7) in base 9?\nAnswer: 60082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 116116*l**2 + 2437594*l + 2321480 = 0. What is l?\nAnswer: -58037, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.62729 meters in micrometers?\nAnswer: 90627290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 27. Sort 0, 1, k in decreasing order.\nAnswer: k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 13. Let r be t(-10). Suppose 0 = 3*o - 15, 0*z = 2*z - r*o - 17. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 13*f**2 - 14*f + 11. Let l(s) = -s**3 + 7*s**2 - 7*s + 5. Let h(g) = -7*l(g) + 4*u(g). List the prime factors of h(4).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:14 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 - -2.88. Let p = -4 + r. Let a = -4.5 - -0.5. What is the nearest to p in a, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((25 - 24)*(2 + -2))\/3 - -4. Solve -3*o - 8 = d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 14*v - 36 = -7*u, -4*u + 28 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3751?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*n + 1469 - 209 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3520 is divided by 586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/5)\/(296\/(-851)) - 1\/(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 3*h - 2. Let c(j) = j + 10. Let s be c(-8). Let n be s\/(9\/6 - 1). Let p(d) = -d + 0*d**2 - n*d + 1 - 2*d**2 + 3. Determine 5*k(w) + 3*p(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1489*r**2 - 7*r - 7. What is the remainder when i(-1) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9445 and 55.\nAnswer: 103895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 18 + 14 = -5*l, 8 = -2*a - l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033 (base 4) in base 12?\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7935 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.507 times -462\nAnswer: -3468.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 466*w - 1548. List the prime factors of j(37).\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9021378 - 9021378 - 23*u**2 + 9*u**2 - 25*u**2.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35*-2*(-10)\/(-16).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -0. Suppose i*z = -2*z + 16. Suppose -z*d + 124 = -28. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/4765 and 55\/46.\nAnswer: 219190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6080)\/(-5320)*(-28)\/96.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 33. Suppose 47*n - 45*n = a. Let d = 21 + n. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**3 + 9*s**2 - 6*s + 2. Let a(d) = 2*d**3 - 5*d**2 + 3*d - 1. Let p(c) = -7*a(c) - 4*i(c). What are the prime factors of p(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 41. Solve s = 2*y + 2*y - 8, 3*z + 2*y = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -1 (b) 0.3 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x - 32. What is the remainder when d(4) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48267 - -74493. Let q = m - 12326. What is q rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2856 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:49 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 41348232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0009163 or -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -10.5. Let a = -0.4 - 2.4. Let j = 2.6 + a. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2751, 11002, 24749, 43992?\n\"Answer: 2748*r**2 + 7*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(475) + sqrt(475)*-1)*-5 + -5 + (sqrt(475) - (sqrt(475) + -1)**2) + -4 + 5).\nAnswer: -2390 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**3 + o**2 - 4*o - 1. Let f(v) = 2*v**3 - v**2. Let i = -700 - -705. Let r(j) = i*f(j) - m(j). What is r(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppzapapazpappppaa. Give prob of picking 4 p.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 6*j**2 + 3*j - 9. Let p = -2 - -6. Suppose o - 14 = -p*c, -c + 4*c - 18 = -2*o. Does 6 divide r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 577*y**3 + 2*y**2 + 1725*y - 9672987 with respect to y.\nAnswer: 1731*y**2 + 4*y + 1725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/60 + 5*c**4\/8 + 3*c**3 + 16*c**2. Let n be t(16). Solve -n*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:52 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45939*i**4 + 531*i**3 - 1313*i**2 + 857*i - 4.\nAnswer: 1102536*i + 3186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 384, 379, 380, 393, 424, 479?\n\"Answer: b**3 - 3*b**2 - 3*b + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-15) - (891\/(-135) + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 12 = -2*n, -5*n + 48 = -f. Suppose 4*p - 34 - n = -4*u, -p = 5*u - 31. Solve 0 = -4*b - 5*g - p + 36, -3*b + 5*g = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 10, -0.4, 2\/15, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -61155, -0.2, 0.2, 1\/2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207 (base 8) to base 12.\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 44*r**4\/3 - 125*r**3\/6 + 70*r. What is the second derivative of g(f) wrt f?\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**40*z**37\/z assuming z is positive.\nAnswer: z**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 794.28546ms?\nAnswer: 0.00022063485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 20 - 33)*(o - o - 4*o)*(7 - 81 - 6).\nAnswer: 640*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jje when three letters picked without replacement from {j: 5, e: 8}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/14))**(3\/22)*(y*(y*y\/(y*y**(7\/4)))\/y*y)\/y*y*y*y\/(y\/y**(-2\/9))*y)**(-1\/3) assuming y is positive.\nAnswer: y**(-2851\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11357858.300193 - 11357906.3. Let s = u - -48. Round s to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 > -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -114. Solve -5*x = s*k - 4*x - 21, -2*x = 3*k - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 46.98\nAnswer: -93.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + 1392\/30. Let y = v - -528. What are the prime factors of y\/35 - (-6)\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -169. Let o be (n + 58)\/(12\/16). Calculate the highest common divisor of 190 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -111863, -222302, -332741, -443180?\n\"Answer: -110439*d - 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (18 - (15 + 8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from axxcbaxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2 - 21234006*m - 467146680 = 0.\nAnswer: -7077980, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -329 + 330 - (-27 - (1 + 2)) - -14\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10, -z + 5*a + 592 = 3*a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 245 + -27. Suppose 4*f - k = -2*a, -4*f + 4*a + 254 = 30. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 96*d**2 - 9*d + 260. Determine a(48).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2) - (-16 - -22) - (-4)\/(-2). What is the nearest to 0.098 in 1, -2, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -406 > -102774\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and -52325033219.\nAnswer: -52325033233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 5. Let z(r) = -1. Determine g(a) + 3*z(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 16*x**2 + 11*x + 3. Let p(q) = -5*q**2 - 4*q - 1. Suppose 3*v - 23 = -5*s, -7*v + 6*v = -5*s + 19. Calculate s*k(b) + 11*p(b).\nAnswer: 9*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*p = 14, -d - 4*p = d + 10. Put d, 1\/5, -5 in descending order.\nAnswer: d, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19647 and 6327.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 5*h = 5, 28 - 33 = j + 5*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1623288.\nAnswer: 2, 3, 239, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, g: 2}. Give prob of sequence jgj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(180)\/sqrt(40))\/sqrt(9).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -558*k**3 - k**2 - 6*k - 4. Let h be p(-1). What is the greatest common divisor of 129 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4424099272.\nAnswer: 2, 553012409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 275623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1433)\/(-798) + -1 - (-92)\/(-69). Let h = z - -9\/14. Which is the nearest to -8? (a) h (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/24 - (-29)\/6. Let f(g) = -2*g + 3. Determine f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + 1 + (1*sqrt(112))**2 + 2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -78482500 rounded to the nearest one hundred thousand?\nAnswer: -78500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(4 - 10236\/(-15)) + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 4*y + 6. Let a(f) = -f**2 - 5*f - 5. Let z(c) = 3*a(c) + 2*b(c). Determine z(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16214 (base 7) to base 11.\nAnswer: -3483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 5 + 2 - 12. What are the prime factors of l(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Suppose 28*x = 34*x - 1134. Let l(g) = -71 - 3*g**2 + x + 157 + 5*g**2. Give t(l(d)).\nAnswer: 4*d**2 + 550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:25 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181 or 180?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27407 + -23245. Calculate the lowest common multiple of c and 11.\nAnswer: 45782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3193544?\nAnswer: 2, 37, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z - 56*z - 13 = 0. Let r = -0.2 - 0.3. Let l = 0 - r. Which is the closest to 1? (a) z (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27\/2 (b) 0 (c) -56 (d) -0.7 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/t**(-2))\/(t**0)**(-3\/17))\/((t**(1\/3))**3\/(t*((t*t\/((t*t**1)\/t))\/t*t)\/t)**45) assuming t is positive.\nAnswer: t**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45850 from 65.\nAnswer: -45785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 102*n - 21. Let g(h) = h - 2. Let c(o) = 5*g(o) - t(o). What is the units digit of c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isvg when four letters picked without replacement from sqgvi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*a + 214*a + 960 = -3045 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 s when four letters picked without replacement from lwslsll.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/4, -0.058, 1, -0.01, 267?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.49 - -117.22. Let k = f + -109.8. Let j = -2 - -3. Sort -1\/8, j, k, -2 in increasing order.\nAnswer: -2, -1\/8, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 3*o + 2 = 0, 5*o + 26 = -4*v. Let d(s) = s**3 + 3*s**2 - 5*s + 2. Let p be d(v). Suppose 159 = 3*i + p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3665542 - 10319851. Let n = h + 13985394.60000112. Let b = n + -1.6. What is b rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194952 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.13 to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1772115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m + 122 = -2*r, 0 = 2*m - 5*r - 125. Let p = -12 + m. What is the remainder when p is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 43, 2\/13, -0.2, -1\/10, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003231958 rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/9)*o\/o**(-8\/7)*o)\/(o**(-19)\/o**(-16)))**(-23) assuming o is positive.\nAnswer: o**(-9223\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/150 and 101\/612780?\nAnswer: 3063900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218655419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.824842 millilitres in litres?\nAnswer: 0.007824842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -11 - (-31 + 29 - (-2 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**5\/20 + 3*h**4\/4 + h**3\/6 + 5*h**2 + 189*h. Determine z(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 503 - 4c?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145275\/1556456 + -8\/8459. Find the common denominator of j and -28\/207.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411 - 34?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1016528698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -230 - 1132b0?\nAnswer: -113510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2 + 2 + (-4*s + s + 2*s)*(-2 - 1 + 5) - s + 6*s - 3*s - 16 + s + 2 - 2.\nAnswer: -s - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*a**3 - 34*a**2 + 2*a - 281066.\nAnswer: -258*a**2 - 68*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r + 0*r + 8*r - 20 + r as k + w*r and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/9)*n\/(n*n\/(n*n\/(n**(-1\/3)*n))))\/((n\/(n**(2\/11)*n))\/n**7) assuming n is positive.\nAnswer: n**(865\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 245*f - 250.\nAnswer: 5*(f - 1)*(f + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 533 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976232 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 308441 from -6.1.\nAnswer: -308447.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-9)\/((-720)\/(-10))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22113 (base 5) to base 13\nAnswer: 90c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1047 or -1\/85649?\nAnswer: 1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2802*p**3 + 63*p**2. Let z(f) = -280*f**3 - 6*f**2. Calculate 6*s(g) + 63*z(g).\nAnswer: -828*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from lalafawqzawfaz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9) + 32\/(-12). Let w = -3 - r. Let z = -165 + 165.2. Which is the biggest value? (a) z (b) -0.6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 859 - 787. Is 72 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/2 - 12*b**5\/5 - 15*b**4\/4 - 2*b**3 + 105. Factor h(y).\nAnswer: -3*y**2*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 6*c**3 - 3*c**2.\nAnswer: -3*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + (-44)\/(-12). Suppose -5*r = i*u - 35, -5*u + r = -15 - 7. Suppose u*w**4 + 3*w**3 + 0*w**4 - w**3 - 3*w**4 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 828.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = z + 6, -7 + 29 = 3*a - 4*z. Suppose -3*p + 5*p = -a*n + 17534, 2*n - 4 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8757361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3897372 + -0.02?\nAnswer: -3897372.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*q**3*x**3 - q**3 - 512*q*x**3 + 2*x**3 wrt q?\nAnswer: -204*q*x**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 6. Let d be t(9). Let h be (d - -4)\/(1\/2). What is the second derivative of -4*j**2 + 4*j**2 - j + 3*j**h wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2237 is divided by 749?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 753.2491 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*v - 0*s + 44, 0 = v + 5*s - 20. Let q = 79 - 75. Suppose -5*h = 3*b - q, -3*h - 4*b + 2 = -2*b. Solve -v = 3*g + h*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132788.27252 to the nearest ten.\nAnswer: -132790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1872 and -123\/1040?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965485303?\nAnswer: 3, 11, 179, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1386 and -26.1.\nAnswer: -26.2386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 i when four letters picked without replacement from {i: 3, e: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Let b(h) = 3*h**2 + 6*h + 2. Let v = -82 - -78. Let j(g) = -g**2 - g. Let t(o) = v*j(o) - b(o). Calculate t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 84 - 219. Suppose 16*b - 400 - 256 = 0. Let h = o + b. Let m(d) = -4*d - 6. Give m(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:49 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:02 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69494.184 microseconds in hours?\nAnswer: 0.00001930394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6101180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 59273 and 59262 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**2 - 4*t - 2. Let q(i) = i - 1. Determine -5*q(c) - z(c).\nAnswer: -9*c**2 - c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, n: 5, m: 2}. What is prob of picking 3 n?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 8*t + 7.\nAnswer: (t + 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79935 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 15*o**2 - 42*o - 20. Let y be x(11). Solve 0*i + y*v = -2*i - 2, i - 3*v + 5 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (-1 + sqrt(2))*6 + 1*sqrt(98))**2*3.\nAnswer: -468*sqrt(2) + 1122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 13) in base 2?\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(21)\/(sqrt(7)*-1) + sqrt(3))**2 - sqrt(147)*-6).\nAnswer: -2 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**2\/2 - 1. Let w = 31 + -3. Let n(k) = 3*k + 51 - w - 23. What is n(v(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -82687, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -3. Suppose 0 = k*g + 5 - 43. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 905 - 8*p - 880 + 6*p**3 - 5*p**3 + (-2*p**2 + 3 - 3)*(-p + 2*p - 3*p) - p**2 + p**2 - p**3.\nAnswer: 4*p**3 - 2*p**2 - 8*p + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149348, 298713, 448078, 597443?\n\"Answer: 149365*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -640*v + 363*v + 280*v. Let b(s) = 181*s. Give z(b(k)).\nAnswer: 543*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215\/(-5)*12\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18330340 divided by -3666068.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*((u\/(u*u**13))\/u)\/u*u)\/(u*u\/(u*u\/u**(-2\/9))))**(7\/9) assuming u is positive.\nAnswer: u**(-742\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 494*x - 3. Let m(t) = -741*t + 7. Calculate 7*d(o) + 5*m(o).\nAnswer: -247*o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2097\/8, -5, 1\/2 in ascending order.\nAnswer: -2097\/8, -5, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5694787803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 825*l - 15. Let a(d) = -544*d + 10. Give -8*a(m) - 5*t(m).\nAnswer: 227*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Let n be 1 + (-100)\/32*30. Let r = -92 - n. Which is the third smallest value? (a) -1\/2 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8876 is divided by 620?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 495061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13905083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -128 in -15, 4, 3, -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:26 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4128 - -9.5872. Let n = -3 - -2.8. What is the closest to 0.1 in t, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 1979180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 411591.9 hours?\nAnswer: 1481730840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2614.060067 to the nearest ten.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10. Let s(q) = q**2 + 2*q**2 + 0*q**2 + g*q**2. Let z(a) be the third derivative of a**4\/24 - 2*a**2. What is z(s(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 12 - 56. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/7 + 16*g**4\/7 + 26*g**3\/7 + 12*g**2\/7.\nAnswer: 2*g**2*(g + 1)**2*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let u be g(-2). Suppose -5 = -u*d + 1. Let l = 1.5 + 2.5. Which is the third smallest value? (a) l (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1715454, -1715468, -1715486, -1715508?\n\"Answer: -2*k**2 - 8*k - 1715444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 62 - 172. Suppose 6*g - 14 = d. Calculate the remainder when 22 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124022354 - -32?\nAnswer: -124022322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 smaller than 1845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 255a4058?\nAnswer: -255a4059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10172 and 64507174976.\nAnswer: 64507164804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1081 (b) -2\/5 (c) -0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6631177 and 1075326.\nAnswer: 39787062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + (sqrt(24)\/(sqrt(24)\/(sqrt(3)*1 + sqrt(3))) - ((sqrt(243) + sqrt(243) + 1*sqrt(243))\/sqrt(9))\/sqrt(9)))**2.\nAnswer: 8 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 104602*l + 10. Let q be g(-5). Round q to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*u + 389*u - 27888 = -382*u for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = -24. Is (-266)\/(-18) + (-4)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 187520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 o when four letters picked without replacement from hhhhohohhhohhhhh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-20)*(-2)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1718)\/(-12) - (-36)\/(-54))*6. What is the highest common divisor of n and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 25*v**2 + 36*v - 490. Let d be c(-27). Let u(m) be the first derivative of 3*m**2\/2 + 4*m + 6. Calculate u(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24029\/2 + -11792. Let l = -224 + y. Put 2\/9, l, -1 in ascending order.\nAnswer: l, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2742 is divided by 240.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2589 + 0.67911. Let o = -0.42 + u. Round o to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/3730564?\nAnswer: -9\/3730564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 142*u - 76. What is c(-35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4045076881.\nAnswer: 31, 130486351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -5*(3 + -4). Suppose 10*i + 8 = -a + 15*i, -8 = -5*a + i. Solve 5*q = -5*f + 10, x*q = f + a*f - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 31. What is the highest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2283*n**3 - 48*n**2 + 7*n - 3. Let c(l) = 2284*l**3 - 25*l**2 + 8*l - 2. Let d(z) = -3*c(z) + 2*x(z). Find the third derivative of d(b) wrt b.\nAnswer: -13716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*z**2 - 4)*(0 + 0 + z**2) - z**4 - 2 + 2 + (-28*z**3 - 20*z**3 + 188*z**3)*(-z - 4*z + 2*z) + z**4 - 5*z + z + 2*z.\nAnswer: -422*z**4 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (18\/(-10) - (-4)\/(-20)). Suppose 3*i - n + 4 - 1 = r, -3*n = -3*i - 9. Is i equal to -1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24398*l**3*x**2 + 4*l**2*x**2 + 5*l**2*x - 5*x**2 + 2 wrt l?\nAnswer: -146388*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34217545 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 118 = 5*q - 5*l - 27*l, 3*q + 2*l + 5 = 8*q + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1049*g**2 - 2*g + 567*g**2 + 522*g**2. Let j(r) = 3*r**2. Give z(j(a)).\nAnswer: 360*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 958 + -1855. Let m be q\/(-21) - (-4)\/14. What is the third derivative of -3*w**2 - 43*w**5 + m*w**5 - 4*w**6 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) 0.14 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:23 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5200)\/6*45\/(-6). What is d rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2778440?\nAnswer: 2, 5, 7, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4420867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x + 6*x**2 - 8*x + 4*x**2 - 10*x - 3*x**3 to the form n*x + b + d*x**2 + f*x**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 553764 - -3?\nAnswer: 553767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:48 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -10\/57*s**3 + 1\/190*s**5 + 0 + 8\/19*s**2 - 183*s + 1\/114*s**4. Determine o so that r(o) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**3 + 52*b**2 + 20*b. Let f(h) = 3*h**3 + 21*h**2 + 8*h. Let i(p) = -12*f(p) + 5*q(p). Factor i(j).\nAnswer: 4*j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1842*f*o**3 - 864*f*o + 874883*o**3 wrt f?\nAnswer: -1842*o**3 - 864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3315220, 13260901, 29837044, 53043649, 82880716, 119348245, 162446236?\n\"Answer: 3315231*v**2 - 12*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 5685*u - 2836*u + 297 - 2848*u - 1011 + 4*u**4 to the form w*u**3 + s*u + f*u**2 + a*u**4 + d and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427896 is divided by 99?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 93*g - 189. Calculate y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9344296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by -4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/40 and -4 - 54\/88*(-62)\/6.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309510 and 11250.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2065204 (base 7) to base 13\nAnswer: 8a63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 3, u: 4, l: 3, y: 2, g: 4}. Give prob of picking 2 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258\/4 - 2*1\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 0. Let f(b) be the second derivative of -b**3\/3 - b**2\/2 + 15057*b. Let w(m) = -2*m - 1. Calculate i*w(r) + 7*f(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 - 3*y - 2. Let u be h(6). Let o = u - 6. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 11 = 4*x. Let k be 254\/8 - x\/28. Solve 3*m + 4*q = -k, -2*q - 21 = -m + 3*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g = 54*g - 48. Let l(a) = a**2 - 15*a + 37. Let i be l(g). Suppose 2*s = -6, -i - 159 = -j - s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*w*x**2 + 3*w*x + 3*w + 3*x wrt x.\nAnswer: 258*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 97.18126341 - -41\nAnswer: 138.18126341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/40 - 3*h**4\/8 - h**3 + 6*h**2. Factor z(j).\nAnswer: 3*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(8) - (sqrt(19) + 0)*-5.\nAnswer: 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, 63, 66, 71, 78, 87, 98?\n\"Answer: u**2 - 2*u + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-5)\/(-15))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -25*t + 88*t - 34*t. Let x(o) = -o. What is y(x(d))?\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304087 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 21. Calculate the least common multiple of 9 and (56\/u)\/(4\/6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = -m. Let y be ((-6)\/3 - -2)\/m. Suppose y = 5*a - a - 12. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v - 5. Let t = v + 2. Suppose -l = t - 33. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 218\/(-10) - 4\/20. Find the common denominator of (3\/12 - 0) + -1 and (o\/16)\/(2 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - (15 + (27 - (14 - -20)))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 1.08. Let l = -14.4 + 18. Let s = l + -4. What is the biggest value in j, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7943*g - 5544 = 7844*g for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.4, -4, 216?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9302 - 4.0698. Which is the third smallest value? (a) 17 (b) m (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24767 (base 13) in base 8?\nAnswer: -203152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 43 + 172*v - 85*v - 89*v. Let i be l(16). Suppose c = -i*c + 1272. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 0.03, 31\/4 in decreasing order.\nAnswer: 31\/4, 7, 3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 - (-6)\/2. Suppose 5*m + 45 = -2*p - 2*p, c*m - p + 15 = 0. Let r(f) = -f**3 - 5*f**2 + f + 6. Determine r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 90*j = -15*j + 1120 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3724304\/5505 + 10148\/15. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 137?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose 0 = -b*k - 10 - 5. Let g be k - -1 - (-4 + -3). Solve -2*i + g*i - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = 41. Let v = -11 + s. Suppose 5*k - v*d = 6, 3 = -2*k - d + 4*d. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96196.\nAnswer: 2, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393587853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 58*j = -61*j + 12, -13 = 5*s - 2*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15566224 and 17568.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/90 - (2*-1)\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -191 (c) -0.3 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/(-46))\/((-4)\/(44\/(-3))*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r. Let m = -195 - -351. Let f be 3\/(-15) - m\/(-30). Let u(w) = f*w**2 - 18*w**2 + 11*w**2. Calculate t(u(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = -16. Is 70\/6 - 2\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3465 - -0.3465018284. Round d to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79729.\nAnswer: 13, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 3*a - 6, 1822*y - 15*a + 90 = 1817*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 - 2*t**2 + t + 2. Suppose -9*r + 4*r = -10. Suppose 1 = r*f - 4*i - 3, -8 = -4*f + i. Suppose -5*m - 4*o = f - 4, o = -m + 1. What is n(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/8 + 5*t**3\/6 - t**2 - 4*t. Let r(k) = 2*k - 4. Let s(f) = 4*g(f) + 5*r(f). Let v(o) = -11*o. Give v(s(b)).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 1)\/(3\/30). Suppose -122 - i = -2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -146 + 3?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -0.24, 2\/7, 1\/11 in descending order.\nAnswer: 2\/7, 1\/11, -0.24, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 2*i. Let l(n) = -4*n**2 + 2*n. Let y(k) = 4*l(k) - 5*o(k). Let v be y(-1). Sort 5, v, 2 in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -29628.\nAnswer: 1\/1646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14957 - 12515. What is the highest common divisor of f and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -52*a**3 + a**2 + a - 2. Calculate l(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 + -85. Let w(b) be the first derivative of b**2\/2 + 23*b - 2. What is the tens digit of w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/20 and -75\/3238.\nAnswer: 32380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + u**2 + 2*u**2 - 2*u**2 - 1134*u + u**2 as b*u**2 + f + k*u and give k.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -592326142?\nAnswer: 592326148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 + 0 - 3230*a + 1619*a + 2*a**3 + 0 + 1611*a.\nAnswer: 2*a**3 + 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1992280 and -115\/1394596?\nAnswer: 13945960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-14))\/(4\/64 + 0). Is c at most -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147)\/30 - -5)*-4*-4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/14)\/((-11)\/(33\/6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-21 + 23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - p. Let l(t) = 6*t**2 - t. Let i(a) = -2*f(a) + 2*l(a). Let c(g) = -g**2. Give c(i(s)).\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66268 + 116161 + 115766 = 1481*z - 22428 for z.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 o when four letters picked without replacement from xoxxoxxxxoxxxxxxxx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -238 + 238 - l to the form b*l + a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -66, -165, -352, -657, -1110, -1741?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 234255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 3*l - 6. Solve -l*c + 9 = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 8, 39, 96, 185, 312?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26596, 26610, 26626, 26644, 26664?\nAnswer: 26686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3648)*-1*-1 + sqrt(3648))*-6)\/(((sqrt(36) + sqrt(36) + (sqrt(144)\/sqrt(4) - sqrt(36)))*-4)\/((sqrt(108)*-1)\/sqrt(9) - sqrt(12))).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/16*5\/(-30)*48\/(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:54 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -13 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16506 + -0.10506. What is the nearest to 0.1 in k, -2\/55, -0.11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -27*c**2 - 369*c + 75. Calculate the lowest common multiple of q(-7) and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4*l**2 - k**4 - 172*k**2 + 2713*k*l**2 - k*l - l**2 wrt k.\nAnswer: -24*k**2*l**2 - 12*k**2 - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 828 and 264?\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Suppose 5*g - 3*g - 2 = h, -10 = l*h. Suppose -5*m = -4*m + 3*o - 23, g = -5*m - 2*o + 167. What is the greatest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.5 - -390.5. Let q = 471.1 - l. What is the closest to 1 in q, -22, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104.525 - 0.525. Which is greater: x or 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 9. Let m be 3\/(-42)*(s - 1). Which is the nearest to m? (a) 2\/9 (b) 1\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-8))\/(-1) + (-53842)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 - 41 + 18 = -241*x. Let z = -0.08 + 0.48. Sort z, -0.5, x, -5 in decreasing order.\nAnswer: z, -0.5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose -2*u = -4 - f. What is the remainder when 11 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 - 0.9. Sort 5, q, -6 in ascending order.\nAnswer: -6, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {k: 1, p: 1, a: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 20, 4*v + 4*k + 32 = 6*v. Suppose v = -7*d + 11*d. Solve -d*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949 and 1221776764.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1562 + 1561.8. Let p = 2.1 - 2. Let v = -4 - -3.9. Which is the nearest to m? (a) p (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 7*y**2 + 6*y - 1. Let r be d(4). Let j = 206 - 191. Let g be (-18)\/(-30) + 3\/(j\/197). Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**2 - 42*q**3 + 72*q**3 + 55*q**3 + 92*q**2 wrt q.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h = -29*h - 15*h + 32. Let v(r) = 4*r**2 - r. Let w be v(1). Solve 0 = -w*k - h - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**7\/42 - w**6\/15 - w**5\/20 + w**4\/6 + 2*w. Find s, given that a(s) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 20. Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 7, m: 1, h: 8}. Give prob of sequence llm.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (84 - 3) + -480 + 444\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 2 - 5*q**2 - 6*q**3 - q**3 + 5*q**2. Let u(g) = 20*g**3 - 4*g + 7. Let f(m) = 2*u(m) + 7*y(m). What is the second derivative of f(j) wrt j?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -5)*-3 + (sqrt(320)*-2)**2 + -2 + sqrt(320).\nAnswer: -16*sqrt(5) + 1293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -119. Suppose 0 = -4*o - 2*z + 12, -2*o + 2 = -5*z - 4. Let h be (-3)\/(-5)*(-1)\/o. Put p, 2, h in decreasing order.\nAnswer: 2, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (9 - -8 - 12 - -10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 649338*x - 11037879.\nAnswer: -3*(x - 216429)*(x - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let i(z) = 37*z - 25. Calculate i(o(q)).\nAnswer: -37*q**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 551 and 8.\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1037873363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 30*y**3 - 4*y**2 + 4*y. Let v(n) = 31*n**3 - 5*n**2 + 5*n. Give 5*m(j) - 4*v(j).\nAnswer: 26*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -571840*o**3 - 11*o**2 - 18216.\nAnswer: -3431040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008725 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 19*u - 5. Let q be r(-19). Suppose 3*g + 20 = 2*g + 5*f, -2*g = f - 15. Let c be 9 + 3 + 9\/(-3). Sort q, g, c in decreasing order.\nAnswer: c, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 29144613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 369732717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14930 = 5*c + 5*v, 3*c = -c + v + 11964. Round c to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 5*f**6\/24 + f**3 - 25*f**2. Differentiate s(m) with respect to m.\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 0, 4*x + o - 17 - 8 = 0. Suppose -2*t = -x*t. Let i be (12\/(-3) - -2) + t. Sort -5, i, 2 in descending order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-739710)\/25)\/(-9) + (-6)\/(-15). Let v = h + -2297. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517*h + 526027 = 428356 - 595626. What is the second smallest value in 1, -1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014143 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) -9 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*k = 18 - 13, -4*h = 5*k + 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80998 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -14. Suppose -2*d + 4 + 74 = 4*l, h*d = 15. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2277, 4556, 6835, 9114, 11393, 13672?\nAnswer: 15951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*m - 51*m + 11*m - 3)*(-7*m + 2*m + 2*m)*(-6 + 5 + 3)*(-m - 3*m + 3*m) to the form l*m**2 + k + s*m + n*m**3 and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -27. Calculate the remainder when j is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33869947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/147 and -17\/108.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -80*v - 7. Is p(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101323320141 - 1?\nAnswer: 101323320140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -2. Let b be 4*1 + 2 + g. Let z = 10387 + -10385. Solve -2*r = -4*i - 8, -b*i - 3 = z*r - 11 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 260?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13518 divided by -15\nAnswer: 4506\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 8:55 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/45 + (-123)\/(-189)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b + 11*b + 6*b**4 + 8*b**2 - b**4 - 2*b**4 + 55 wrt b?\nAnswer: 36*b**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 7*g**3\/3 + 177*g**2\/2 - 2*g - 84. What is m(-14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.2 + 4. Let h = 6 + -5.7. Let z = h + 0.7. Sort -1, g, z.\nAnswer: -1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2363*f + 894. Is 24 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/13)\/(13\/(-169)). Suppose 0 = 5*g - y*g - 9, 0 = 5*v + 3*g - 54. Solve 0 = -v*m + m + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - x = 13 + 15, 2*b - 19 = 3*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3913 = 3*h - 2*a, 54*h - 3*a = 56*h - 2639. What is the remainder when 3937 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262 - 5506\/21. Let s = -64 + 65. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhia when four letters picked without replacement from {i: 2, a: 3, h: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 84\/13 and 3417.97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-232*i + 707*i - 199*i)*(2*i - 5*i - 3*i + (i + 3*i - 5*i)*(1 + 3 - 2)) as q*i + w*i**2 + o and give w.\nAnswer: -2208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*f**2 + 26*f - 26*f + f**2 + 0*f**2 + 0*f**2 + (-4*f - 4*f + 6*f)*(0 + 2*f + 0).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, w: 2}. Give prob of sequence hwwh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245326, -245328, -245330?\nAnswer: -245332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.47 + -7.469999297. What is r rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308125 and 1160?\nAnswer: 2465000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 238191 or 238200?\nAnswer: 238200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0 + 12\/7*q - 54\/7*q**2 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.672 + 0.248. Let k = h + -8. Let m = 0.080053 + k. What is m rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 3. Calculate the highest common factor of m and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -139*t + 156*t. Solve -6*k + k = -t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*t + 25. Let r be -2 - ((1 - t) + -4). Solve -r*q - 22 + 2 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/2148, 2, 13 in descending order.\nAnswer: 13, 2, 2\/5, -1\/2148","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {u: 2, d: 4, l: 4, w: 9}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 243429, 243431, 243433, 243435, 243437, 243439?\n\"Answer: 2*g + 243427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7623 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1112, 879, 648, 419, 192?\n\"Answer: q**2 - 236*q + 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639 bigger than 155620\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 2, k: 3, h: 3, i: 1, q: 1}. Give prob of picking 1 c and 2 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -33, -35, -37, -39, -41?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 474\/39661 or 1?\nAnswer: 474\/39661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 127. Solve -2*a = a + d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 128 + 730. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101451 is divided by 101450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 - m + 1. Let d(j) = -j**2 + 1. Let k = -253 + 272. Suppose -k*c + 15 = -23. Give c*q(o) - 4*d(o).\nAnswer: -2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 788?\nAnswer: 7092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 10*i + 1. Calculate the remainder when 87 is divided by k(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q + 9. Suppose 2*s = 3*j - s + q, -5*j + 2 = 2*s. Suppose -4*t + 220 = 2*c, j*t = -5*t - 3*c + 274. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 19\/203, -5, 5?\nAnswer: 19\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*((sqrt(180) + 0)*-6 + -2 - (0 + 5*-1*sqrt(180)))*-1)**2.\nAnswer: 24*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 421.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/46 + (11 + -8)\/(-6)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4874337146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*h**2\/9 + 51740*h\/9.\nAnswer: -4*h*(4*h - 12935)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3\/7, -4\/3, -4, 5\/3, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 152 - 134 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 1. Let f be a(-4). Let l(t) be the first derivative of -2\/3*t - 1 + 1\/2*t**2 + 2\/9*t**f. Suppose l(o) = 0. What is o?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29804800.11 to the nearest one hundred thousand.\nAnswer: -29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g + 5. Let r(d) = d + 1. Let y = -3789 - -3790. Calculate y*t(b) - 5*r(b).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 84. Let a = 11 + -19. List the prime factors of 58*y\/a*2.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/((-7)\/(-70)*5))\/(2\/5). Suppose f - t = 0, 2*f + 1 - 5 = t. Suppose -3*z = -12, 5*a = z + 2*z - 2. Solve 0 = -c + q*c + f, 6 = 4*s + a*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (1 + -4 - (-25 + 74 + -2))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/55, 174503.\nAnswer: -0.4, 2\/55, 174503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(1\/2)*f)*(f**(-2\/9)*f)\/f)\/((f*f\/f**(-1\/4)*f)\/f*f)**(-4\/9) assuming f is positive.\nAnswer: f**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 36*a - 8. What is the hundreds digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60875797 and 57398?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238900947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*m + 40 = 0, -3*p + 2*m - 5 = -40. Solve w - 15 = 5*g - 2*w, g = 3*w - p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = 2. Suppose 4*y = c + 149, -c = 11*y - 14*y + 111. Suppose 6*k = 134 - y. Calculate the remainder when k is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 2. Let u be (24\/o)\/(2\/(-155)). Suppose -9*i + 10*i - u = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 484.\nAnswer: 8228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, k: 3, d: 2, l: 1, g: 5}. What is prob of sequence dldk?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-20*8*4\/(-40). Calculate the highest common divisor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.03, 172100 in increasing order.\nAnswer: -0.03, 2, 172100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bllttb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-10))\/((-2)\/20). Let p(y) = -133*y**3 - 55*y**2 - 11*y + 23. Let h(w) = 83*w**3 + 35*w**2 + 7*w - 15. Let j(v) = -8*h(v) - 5*p(v). What is j(x)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -66111?\nAnswer: 33055.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q - 2\/105*q**7 + 1\/10*q**6 + 0*q**4 - 21*q**2 + 0 + 0*q**3 + 4\/15*q**5. Factor u(d).\nAnswer: -4*d**2*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10223395\/92 + -111125. Let o = c + -571\/69. What is the common denominator of 61\/14 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (54 - 59) + 88\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**3 + 7331*w**2 + 4574*w + 9928. Give f(917).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j + 4*w, -6*w + 2*w - 9 = -5*j. Let r be -82*26\/(-4) - (j - 1). Let q = -293 + r. Is q a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/30 - 1653*b**5\/5 + 2732409*b**4\/2 - 3011114718*b**3 + 7466058943281*b**2\/2 - 27*b - 5. Determine r so that f(r) = 0.\nAnswer: 1653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1094 + 1132. Solve 10*z + 2 = -t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 6 - ((-4)\/(-16) - (-88)\/32).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.15 and -595?\nAnswer: 587.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 + 6*j - 2*j - 2*j + j wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -958? (a) 10041 (b) 2\/13 (c) -5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117490760?\nAnswer: 2, 3, 5, 401, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3 + 3*j**2 + 11*j - 11. Let m = 3649 - 3660. Let p(w) = -2*w**3 - w**2 - 4*w + 4. Calculate m*p(c) - 4*r(c).\nAnswer: 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6)*-3*0. Suppose 2*h - 3 - 19 = n. What is the least common multiple of 7 and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 13 - (-21 + 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -77.126 and 37673.\nAnswer: 37595.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 608, 0, 3 in decreasing order.\nAnswer: 608, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.86 and 1934690.\nAnswer: 1934679.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {z: 2, d: 8, q: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 - 4*c**4 + 3*c**4)*(4 + 0 + 4) + 89*c**4 - 235*c**3 + 235*c**3 + (-2*c**2 + 4*c - 4*c)*(-4*c**2 + 5*c**2 - 3*c**2) + 2*c**3 - 3*c**4 - 2*c**3.\nAnswer: 98*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 - -383. Let n = -51 + p. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1751850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.855 times -0.4\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*d + 44*d + 93*d + 335*d = 158*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:56 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 6*d + d**2)*(d**3 - d**3 + 15*d**3) + 5*d**2 + 6*d**2 + 14*d**2 - 179*d**5 - 23*d**2.\nAnswer: -164*d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1171 = 5*o, g - 6*g + 2916 = -o. What is the highest common divisor of g and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 - 3196*z**3 - 6372*z**2 + 3196*z + 6376 = 0. Calculate z.\nAnswer: -797, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 979, -4989, -21179, -52703, -104673?\n\"Answer: -852*h**3 + h**2 - 7*h + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + (-1 - -2) + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 3*o + 4. Let i be x(-3). Suppose 24 = 6*q + 12. Find p such that -7 - q + 4*p**3 - i*p**2 + 0 - 3 - 20*p = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 0*q + 0*q - 6*q - 8*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 864237 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 2. Let w be o(-1). Let g be (20\/(-5) + w)\/((-2)\/(-6)). Let q = g - -5. Calculate the remainder when 8 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, -5, 143423.79?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 125.03232 hours?\nAnswer: 5.20968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986926 is divided by 100.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 16.2491.\nAnswer: 18.2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from {a: 2, z: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(1\/4))*d)**(8\/9)\/((d**(-2\/3)\/d)\/(d*d**(-1\/6))))**(-46) assuming d is positive.\nAnswer: d**(-943\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.453 - -117.547. Let o = 1342.2 - 1215. Let p = r - o. Is p less than 1\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2097 + 2097 - 99*z - 4194.\nAnswer: -99*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:40 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -82?\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 24*n + 22*n = 442 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71854b4d - -4?\nAnswer: 71854b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.7007 + 0.1007. Let f = -61.7 - i. Which is the third biggest value? (a) 0 (b) 2\/5 (c) 0.1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/220*1\/((-14)\/24)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7560*q + 771149. Give s(102).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(38)\/sqrt(2) + 6*(sqrt(1539) + -1)**2 - (-5 + (sqrt(76) + -2)*-2*2).\nAnswer: -99*sqrt(19) + 9232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 2*r - 4. Let d be u(-3). Let z = d - -1. Let f(k) = 2*k + 2 + z - 1 + 0*k. Give f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + -3 + 8 - 3 - -11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*p**3 - 67*p**2 + 33*p**2 - 546*p**3 + 32*p**2 - 3868*p**3.\nAnswer: -4757*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2480400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0. Suppose 20 = 2*c - k + 6*k, 2*k - 8 = 2*c. Suppose l + 4*q = -8, -4*l + 2*l - 2*q - 4 = c. What is the biggest value in 5, y, -3\/7, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -21, -5, 17, 45, 79, 119?\n\"Answer: 3*q**2 + q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 7*w**2 + 14 + w**2 - 12 - 6*w. Let k be g(7). Suppose i - 100 = 3*u - u, -4*i = 4*u - k. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 19. Let o be v(-17). Suppose -3*r + 95 = o*r. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -25*m. Let y(c) = -31*c**2 + 4*c. Calculate u(y(k)).\nAnswer: 775*k**2 - 100*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:03 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (-6 + (-15 - -27))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21285)\/(-18920)*2\/(-27)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + 3*x)*(1 + 2 - 2) + (0 - 4 - 7)*(-4*x - 40*x + 10*x).\nAnswer: 372*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52951924, 52951925, 52951926, 52951927, 52951928, 52951929?\n\"Answer: i + 52951923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1475, 1821, 2167, 2513?\nAnswer: 2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12036 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43206937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/((-88)\/(-3168))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*h - 2*y - 8, -h - 5 = 4*y. Let l be 1 + h\/(-6)*2. Suppose -i = -l*i - 5. Solve -i*v + 5 + 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31432321 (base 5) to base 2\nAnswer: -1000000101000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -455.42361 to 1 decimal place.\nAnswer: -455.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12898 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197\/6 - -31. Let n be (45\/(-26))\/((-35)\/1190). Let d = 9091\/143 - n. What is the common denominator of b and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q - 669 = 5*g, 4*q = 5*g - 857. Let x = 365 + q. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n + 4. Let y(l) = 21*l + 2 + 14*l - 69*l + 13*l + 23*l. Determine 3*v(p) - 5*y(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 100 = 10*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0088888*0.29\nAnswer: 0.002577752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*l - 196, 7*l + 20 = 12*l. Let r be 28\/(-3 + (-140)\/d). Let w = r - 16. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19803 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -934.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 12*x - 4. Let d be 5 + (-1)\/(x\/(-12)). Find the second derivative of 14*i**3 + 6 + d + 13*i - 8 wrt i.\nAnswer: 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308821297?\nAnswer: 9181, 33637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101\/2 of a millennium in centuries?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*z + 856, 2*z - 3*u + 264 = -592. Let w = -157 - z. What are the prime factors of w?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 200704*l*u - 408994871*l + 19*u**3 wrt u?\nAnswer: 200704*l + 57*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i + 22*i**2 - 18*i)*(-13*i + 6*i**3 + 13*i).\nAnswer: 132*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24*v**2 - 12*v - 39. Let s(g) = -48*g**2 + 23*g + 77. Let h(q) = 5*a(q) + 2*s(q). Is h(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272)*2)**2 - sqrt(272)) + sqrt(272))*-3 + 0.\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 54317*y**2 - 54317*y**2.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) -3 (d) 1126 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 49*j - 1325148 = 0. Is j a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2) + sqrt(2)*5)**2 - (5 + sqrt(2))*6)*5 + 4.\nAnswer: 90*sqrt(2) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -17.6.\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243995*b + 204592540 wrt b.\nAnswer: 243995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 397703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s - 4*s**3 + 4*s**5 + 6*s**2 - 6*s**4 + 2*s**3 - s = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10506 = -2*h + m + 10483, 5*h + 3*m = -52 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -383669846484093 + -4\nAnswer: -383669846484097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + -3*(sqrt(2025) + sqrt(25)))\/(sqrt(30)\/sqrt(6)*4))**2.\nAnswer: 4205\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2)*21010\/(-15). Let d = -5957\/2 + k. Let f = 849 + d. What is the common denominator of 15\/8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003641284 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 0*g + g - 7*g + 5*g. Suppose r + 2*r = 4*u + 6, u + 6 = 3*r. Let t(i) = 4*i**2 + 4*i**2 + 0*i**2 - r*i**2. Calculate t(m(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 17*q**2 - 36*q - 36. Let y be d(-14). What is the units digit of 8\/(y\/(-25))*114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 38 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908059 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(1\/9)*m)*m*(m*m\/(m\/(m\/m**4)))\/m)\/(m**(-2\/5)\/m**(2\/5)) assuming m is positive.\nAnswer: m**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 88*s - 11263. Calculate a(128).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-9)*w)**(-2\/27)\/(w**(3\/5)*(w*w\/(w*w**(-10\/7)*w)*w)\/w*w) assuming w is positive.\nAnswer: w**(-2372\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4 - 3*h + 8*h**2 - 6 - 1 + 6*h**3. Suppose 267*b - 308*b + 287 = 0. Is s(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3 - 1. Suppose 0 = -b - 2, 7 = -l - 4*b + 3. Suppose 14 = n + 2*n + s, 5*n = l*s + 29. Solve -n + c = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-18) + (-9016)\/1656)*(-6)\/(-8). Let t = -5 - -13. Put -5, c, t, 4 in decreasing order.\nAnswer: t, 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 16*z - 13. Let c be p(6). Let f(q) = -q - 22. Let r be f(c). What is the greatest common divisor of 4 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-52))\/((-3)\/26) - -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/((c*c**(-2\/9))\/c))**(-1\/15)*(c\/c**(-2\/9)*c\/((c*c*((c*c**6)\/c)\/c*c)\/c*c))\/((c*c*c**(-1\/5)*c*c)\/c*c\/(c*c*c**2)) assuming c is positive.\nAnswer: c**(-746\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 2*q**2 - 917 + 1039 + q**2 - 2939.\nAnswer: -q**2 + q - 2817","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 601122157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffnnyttfn. What is prob of picking 1 n, 2 t, and 1 y?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*q - 60*q + 39*q)*(0 - 7 + q**2 + 2).\nAnswer: 9*q**3 - 45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*m - 4*t + 36 = 453*m, -5*t = m - 48 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43 and ((-25)\/60)\/(3262\/798).\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayayaayyaay. What is prob of picking 1 a and 3 y?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4 (c) -8\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1690, -2014, -2554, -3310, -4282, -5470?\n\"Answer: -108*v**2 - 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w - 4 + 2 - w - 5. Suppose 14*l - 280 = -26*l. Let p(f) = f + 8. What is l*s(b) + 6*p(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjlaj. Give prob of picking 1 a and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 801\/(-378) - (-4)\/14. Which is greater: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 2, t: 2, r: 4}. Give prob of picking 2 g and 1 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16849728 and 252.\nAnswer: 16849728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9*x**3 + 4*x**3 + 6*x**3 + (-2 - 2*x**2 + 2)*(-3 + 3 - x) in the form k*x**2 + q + m*x + o*x**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*n**2 + 332*n**2 - 160*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/((((-96)\/(-40))\/(-3))\/((-72)\/540))?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/21)\/(3\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -8c8?\nAnswer: 8cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/78 + ((-50)\/105)\/(170\/(-238))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3\/4 (c) -53 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.1 + -20. Let h = 1.6 + b. Round h to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 - 16 - s**2 + 11 + 5*s + 2. Let v(o) = 2*o**3 + 2*o - 1. What is 2*i(p) - 5*v(p)?\nAnswer: -4*p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j - 48. Let r(m) = m - 6. What is 36*r(h) - 3*z(h)?\nAnswer: 18*h - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151*k + 97?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502730 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -40 in decreasing order.\nAnswer: -4, -11, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 842*j*n**3 - 65090*j + 4*n**3 - 5*n**2 with respect to n.\nAnswer: 2526*j*n**2 + 12*n**2 - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*-4*3\/15. Put g, -3, -18 in ascending order.\nAnswer: -18, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 3*i - 1. Let x be z(3). Let h = x + -3. Find the second derivative of -t**2 - 4*t + h*t + 2*t**2 wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -42*b**5\/5 + 11*b**2\/2 - 15. What is the second derivative of o(w) wrt w?\nAnswer: -504*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**2 - 2*m - 3. Give s(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -365922, -732099, -1098276, -1464453?\n\"Answer: -366177*s + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 59.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/3 + 1631*n**4\/3 + 881168*n**3\/3 + 156139408*n**2\/3 - 266446848*n + 214106112 = 0.\nAnswer: -576, -484, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 347, 974, 2069, 3758, 6167, 9422, 13649?\nAnswer: 18974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, h: 3}. What is prob of picking 2 x?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/189*-7)\/(17*20\/2040)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50068439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -18, 2.573, 6, -2\/5, 0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08351 and -0.1278.\nAnswer: -0.010672578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -38*b - 230. Calculate u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 19824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:49 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37422107 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1632 and 117196572.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c - 23. Let f be 7\/((-21)\/c) + 0. Let a = 1 - f. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/11)*a*a**2\/a*a assuming a is positive.\nAnswer: a**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-3) + 2)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - 7 - (-6 + -4 - 16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 12*m**2 + 2. Let r be q(-12). Let s(j) = -j**3 + 3*j**2 - j. Let y be s(2). Suppose -y*g - g = -6. Solve -3*l - g = -r*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*5)\/(sqrt(4)\/sqrt(2)*-2) - (1 + sqrt(243) + sqrt(243)*-2 + sqrt(243) + (-2 + sqrt(243))*-4).\nAnswer: -9 + 31*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -26. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6*w - 4 = 8*w, w + 2 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-84) - (-3)\/(-4). Let f = 561 + -561. Which is the closest to k? (a) -3\/11 (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**6\/60 + m**4\/12 - m**2 - 2. Let y(f) be the second derivative of h(f). Find the second derivative of y(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 31*q + 239. Let x be a(14). Sort -5, x, 0.3, 45\/7, -3 in decreasing order.\nAnswer: 45\/7, x, 0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 23 (b) -1 (c) -1226 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-12)*0)\/3. Let m be 16 - 14 - (0 + i). Suppose 2*r - m*h = 70, -r + 9*h - 4*h = -55. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827*n + 117*n**3 - 34*n**3 + 219*n - 1046*n.\nAnswer: 83*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1464 and 25572?\nAnswer: 3119784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + sqrt(384) + (sqrt(384) - ((-1*sqrt(384) - sqrt(384)) + sqrt(384))))\/(sqrt(60)\/(sqrt(5) - (sqrt(5) + sqrt(20)))))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -267, -6 in decreasing order.\nAnswer: 4, 1, -6, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*o + 309 = -633, -5*o = 4*x - 1301. What are the prime factors of x?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.304 * 4\nAnswer: -5.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + -58. Let r = z + -16. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 40*g = 2*w + 13*g - 126, -39 = -5*w + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 238662 = -3*w, 2*w + 3*w + 397789 = -2*m. Let b = w - -144589. Suppose 11*u - b = -3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*j**5 - j**4 - 9737*j**3 + 12*j**2 - 1708353.\nAnswer: 1080*j**2 - 24*j - 58422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) -2.5 (c) 6 (d) 3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82829957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewezeeeeweeeeeew. Give prob of sequence wzew.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 394 or 0.069125?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 318 times -2688\nAnswer: -854784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -26. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + 29)\/(1\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let x be d(0). Suppose 5*c - 12 = -2*f, -f = -x*c + c. Put f, 0, -3\/7 in increasing order.\nAnswer: f, -3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1162 - 1166. Sort i, -1, 9 in ascending order.\nAnswer: i, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 - l**2 - 3*l - 1. Let h be q(-2). Solve -5 - h = -5*g + d, 0 = -4*g - d + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10883 + 18494 = 1129*f - 15039 - 12349 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*p + 16, -i - 4*i = 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 + (0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249\/52 - -9\/104. Let -v*c**4 + 9\/8 + 15\/4*c**2 - 9\/8*c**5 + 39\/8*c - 15\/4*c**3 = 0. What is c?\nAnswer: -3, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**2 + 2*o + o**2 - 3*o + 4*o.\nAnswer: -23*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203005, -406328, -609651, -812974, -1016297, -1219620?\nAnswer: -1422943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 31. What is the tens digit of (-4)\/(-16) - 166\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.26587l in millilitres?\nAnswer: 57265.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3 + 12. Let f = k + -4. Is ((-18)\/(-8) - f)*12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 6 + 2 - 3*u**2 + (2*u**2 - 5*u**2 + 7*u**2)*(-4 - 2 + 4) + (-5*u + 0*u + u)*(-4*u + 2*u + 4*u) + 6*u + 3*u**2 - 6*u.\nAnswer: -16*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*6\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*d - 165, 0 = d + 10*s - 5*s - 51. Does 36 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 4 - (-3)\/1. Suppose -x + 4*x + 4*o + 18 = 0, -m*o + 42 = -3*x. Let s = 11 + x. Calculate the greatest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose q = w - 3*w + 12. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let r be 2 - (-1 - -1)\/p. Suppose -4 = -r*n + 14. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, x: 5, c: 8}. What is prob of picking 3 x?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.3 - -5.7. What is the biggest value in -0.03, 2, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i + 2*i. Sort 0, i, 5 in decreasing order.\nAnswer: 5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1. Let k(n) = -2*n**2 - 2*n + 3. Suppose -5*r = -0*r + 4*p - 4, -p - 12 = -2*r. What is r*o(z) - k(z)?\nAnswer: 2*z**2 + 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -81, -3\/13 in ascending order.\nAnswer: -81, -2\/5, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135 or -35584?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 929030*y.\nAnswer: 5*y*(y - 185806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -24*h - 4. Let y be t(-3). Let a(i) = -i**2 - 15*i. Let q be a(-12). Suppose -y = -j - 2*x, 0 = 5*j - x - 332 + q. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -3.858619054\nAnswer: -25.858619054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401687, -1606840, -3615447, -6427508, -10043023, -14461992?\nAnswer: -19684415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - l - 6. Let k(c) = -c**2 - c - 5. Let f(b) = -5*k(b) + 4*p(b). What is the units digit of f(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232333*u + 232335*u + 232328*u - 696985*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/(-8))\/(-7))\/((-5)\/(-5))*19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313840 = -4981*b + 39885 for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(11)*-1)**2 + 2 + (sqrt(11) + sqrt(132)\/(sqrt(12)*2))**2 - (5 + sqrt(11) + sqrt(99) + 0)**2) + 3.\nAnswer: -633\/4 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 2. Let s be -2 + 1 + u + 1. Sort 4, 3, s in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v**2 - v + 3. Let a(f) = -34*f**2 - 4*f + 14. Give 3*a(g) - 14*n(g).\nAnswer: -4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 1. Let x(f) = -f**3 - 40*f**2 - 38*f + 37. Let r be x(-39). Let m be (-13)\/(-78)*r - (-17)\/(-3). Let j(k) = k. Calculate m*j(l) - 7*b(l).\nAnswer: l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 123*t**2 + 311*t - 45799. Calculate p(-117).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 313*t + 56. Let r(a) = 6*a**2. Calculate w(r(q)).\nAnswer: 1878*q**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:28 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 2. Suppose -2*t = 5*y + 28, 0 = -4*y - 7 + 23. What is the common denominator of (l\/16)\/(t\/16) and -1\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**11)\/d)\/d**(-4\/11))\/((d\/((d\/d**2)\/d))\/((d**(-12)\/d)\/d)) assuming d is positive.\nAnswer: d**(-304\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202 - 22220?\nAnswer: -110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 4*f**2 - f + 1. Determine v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 7. Let u(c) = -7*c**2 + 7 + 10*c**2 - 7. Calculate l(u(m)).\nAnswer: 6*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Let h be (2 + -4)*s + 5 + -2. Solve 0 = -j + h + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -0.161.\nAnswer: -0.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*p - 3 = 11, -2*m + 23 = -5*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 168*j - 64. What is the hundreds digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g**2 - 10*g - 20. Let m(f) = f**2 + 2*f. Determine 5*m(z) + v(z).\nAnswer: -7*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 3168*m**4 + 25191*m**3 + 40890*m**2 + 18864*m = 0.\nAnswer: -1048, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 596*j**2 + 16090*j - 29. Give w(-27).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**7\/14 + 3*w**6\/40 - 7*w**5\/20 - 3*w**4\/8 + w**3 + 10*w**2. What is u in d(u) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**3 + 1. Let w = -199 + 207. Suppose 12*g = w + 4. What is c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*q - 11. Let g = 97 - 1068\/11. Which is the second smallest value? (a) 1\/3 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -111?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, i - 4*a = 5*i + 1224. What is the common denominator of -13\/11 and 3 + 1 + i\/42?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19992200 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**2. Let u(m) = -8*m + 105*m + 28*m + 80*m. Determine y(u(x)).\nAnswer: -504300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - 7044\/108 - 3\/(-6)*36\/81.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 55?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, 1731\/4, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/(-4)*(47\/8)\/((-237)\/1896)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 1\/6*x**3 + 5\/2*x**2 - 12*x + 201. Factor h(l).\nAnswer: (l - 2)*(l + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021114?\nAnswer: 2, 439, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-3)*(-2)\/((-4)\/(-3)). Solve -2*h + 2 = t, -3*h = 4*t - h - a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -3*r + 4*r + j, 4*r = -3*j + 645. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 0.007, -2, 1\/19, 4 in ascending order.\nAnswer: -2, -0.1, 0.007, 1\/19, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/61, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o - 4. Let n = -6 - -28. What is the lowest common multiple of n and w(5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135032.\nAnswer: 2, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 8 = 26*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31, 53, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(0 - 2\/4). What is the greatest common factor of a and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32311704 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let v(o) = o**2 - 5. Let k be v(0). Put i, k, 1 in descending order.\nAnswer: 1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 30*c - 9*c + (3*c + 2*c - 2*c)*(3 + 0 - 2) as m*c + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12338 by 22862.\nAnswer: -6169\/11431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -18218\nAnswer: -2\/9109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9)**(-10\/7)*(r**(6\/5))**(-6\/11))**(1\/75) assuming r is positive.\nAnswer: r**(-1734\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*l**2 + 3250 - 3250)*(1 - 1 + l)*(-2 + 2 + 1) as z*l + j + s*l**2 + t*l**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-779)\/(-38))\/((-15)\/6)?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*f**4 - 16372*f**3 + 68088*f**2 - 73200*f + 6368 = 0. What is f?\nAnswer: -199, 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*m - 8712 = 936*m - 36*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -2.02. Which is the nearest to -0.1? (a) -3 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15223800 to the nearest 10000.\nAnswer: 15220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxxsxxsxxsssxsx. What is prob of picking 1 s and 2 x?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379697 is divided by 2875?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33 + -3)\/(0 - 3\/(-4)). Let q(o) = -19*o + 1. Let d be q(1). Let r be a\/d + 3 + -1. What is the smallest value in r, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -44. Let c = 17 - z. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzddddzzdz. Give prob of sequence dz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2665938ml to litres.\nAnswer: 0.0002665938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 817 + -817. Let q(r) = g*r + 85 - 39 - 49 + r. Let z(o) be the second derivative of o**3\/3 + o. What is z(q(f))?\nAnswer: 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/586 in -50, 2, -0.2, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + -3 + -3*sqrt(108) + 3 + 4*4*(2 + sqrt(108) - sqrt(108)))**2.\nAnswer: -1008*sqrt(3) + 1756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 e when four letters picked without replacement from esesssssssssses?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 23*f**3 - 48*f**3 + 24*f**3 - 17. Let m(n) be the third derivative of n**5\/5 - 9*n**2. Give m(i(r)).\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (-3 + -6 + 12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**4 + 12*d**2 - 300*d wrt d.\nAnswer: -36*d**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 - 4*k + 9. Let j(m) = -5*m**2 - 5*m + 10. Let s(l) = -4*h(l) + 3*j(l). What is the tens digit of s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 25. Suppose -2*l + 24 = -4*j - i, -4*j = 3*l - 52. Suppose 4*r - 28 = l. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115420380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, -10, 2\/17, 3, -77 in decreasing order.\nAnswer: 3, 2\/17, 0, -2\/5, -10, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(((-5)\/4)\/5). Is (5\/(q\/(-654)))\/(12\/(-16)) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -29, -1122 in decreasing order.\nAnswer: 12, -4, -29, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**6\/150 - w**5\/50 - 31*w. Factor i(o).\nAnswer: -o**3*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, d: 9, r: 1, c: 2, g: 3}. Give prob of sequence goo.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 2184*k**3 + 286362*k**2 - 566180*k + 282000 = 0. What is k?\nAnswer: 1, 150, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10998179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 96*l - 1367. Calculate o(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3375557*z - 3375557*z + 2781 + 5*z**2 in the form k + w*z + i*z**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -15. Let d = 6 + -3. Which is the second biggest value? (a) -0.3 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1862 = 70*l - 63*l. What is the common denominator of 97\/96 and l\/(-285) + (-7 - 0)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -39. Let b be (24\/(-10))\/1 + 2. Let m = 1\/10 - b. What is the closest to m in -2, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939919757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1697336 days in hours?\nAnswer: 4.0736064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g - 6409 + 155314 = 100*g. Calculate the greatest common divisor of 2 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuuuuuuunuuu. Give prob of sequence nuu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 843*m**2 - 1687*m**2 + 844*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 264*o - 606. Let w(k) = -k**2 + 165*k - 404. What is 5*q(d) - 8*w(d)?\nAnswer: -2*d**2 + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -12696*p**3 - 112700*p**2 - 4882*p - 53 = 0.\nAnswer: -53\/6, -1\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103222785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, 17, 2, -0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j. Let f(r) be the third derivative of -6*r**2 + 0 + 0*r**3 + 0*r + 7\/24*r**4. Determine f(l(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7)*f**(2\/5)*f)\/(f**(1\/7))**(-8\/17))**(-10\/11) assuming f is positive.\nAnswer: f**(-1406\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67314258.\nAnswer: 2, 3, 11, 109, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 0 - f + 1 + 4*f**2. Let g be c(0). What is the lowest common multiple of 1 and g\/3*3*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -5\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11358825 to the power of 1\/2, to the nearest integer?\nAnswer: 3370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660671.\nAnswer: 11, 17, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-855694\nAnswer: -51341.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -340353343 + 2?\nAnswer: -340353341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(64*a - 61*a - 41 + 7).\nAnswer: -12*a + 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/8)\/(16\/(-224)). Solve -38 = d - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o = 84. Calculate the remainder when 3\/2 - 225\/(-6) is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 832 and 576?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -40*g**2 - 10484*g + 42573. What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138.11 - 2.11. Let x = m - 136. Which is the closest to x? (a) -5 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102964 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 7. Let y(u) = 2*u**2 - 3*u - 6. Let o(x) = x**2 - 2*x - 5. Let s(b) = 3*o(b) - 2*y(b). Determine 3*a(j) + 7*s(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 200225101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 641136350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8984443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 268 - 570. Let l = t + 297. Let d(w) = -8*w - 4. What is d(l)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -546 + 549. Put -3, j, 309, 1 in ascending order.\nAnswer: -3, 1, j, 309","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r - 7. Suppose 8*d = 10*d - 2*u - 50, u = 4*d - 88. Let k(g) = 7*g - d*g + 555 - 566. What is -5*k(i) + 8*x(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 26, 55, 108, 191, 310, 471?\n\"Answer: w**3 + 3*w**2 - 5*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 - 58*q - 6. Let n(m) = -m**2 + m + 2. What is -l(k) - 3*n(k)?\nAnswer: -4*k**2 + 55*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(6655) + 2*sqrt(6655) - sqrt(6655))*5)\/(2*(sqrt(405) - (sqrt(405)*-1 + sqrt(405))) + sqrt(405) + sqrt(405)*-2*-4) + 4.\nAnswer: 4 + 40*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 14*a**2 - 16*a + 14. Suppose -20 = 3*v - 65. Let h be k(v). Let m = -1 + 0.9. What is the nearest to -1 in m, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99279, 99335, 99391, 99447, 99503, 99559?\n\"Answer: 56*u + 99223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*d**4 - 78*d**3 - 14108 wrt d?\nAnswer: 156*d**3 - 234*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 13. Let z = -73849\/8 - -9260. Let w = 29 - z. Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + q - 1. Determine f(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/217 and -27\/62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -331 - -330.9. Which is the closest to 2\/5? (a) -2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141761928?\nAnswer: 2, 3, 7, 11, 41, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 104*o - 191*o + 216*o. Let x(t) = -11*t. What is f(x(u))?\nAnswer: -1419*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/(-555))\/((-456)\/30).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2301760 and 103\/2589480.\nAnswer: 20715840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7076744 is divided by 2892?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 - 125643106*a**2 - 382291931*a wrt a.\nAnswer: 12*a**2 - 251286212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*r = -16, r = -2*i - 27 + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016516 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t - 15. Let o be g(6). Suppose 8*m = 3*m + o. Solve 0 = -5*p + 6 + m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3*w + 4*t**3*z + 80*t**2*z + 3*t*w**2*z + 24*w**2*z - w*z wrt w.\nAnswer: t**3 + 6*t*w*z + 48*w*z - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -290, -583, -874, -1163, -1450, -1735?\n\"Answer: v**2 - 296*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 1:16 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/11 - 4*l**4 - 254*l**3\/11 - 424*l**2\/11 - 216*l\/11 = 0.\nAnswer: -2, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7843*i**5 + 15*i**3 - 3064121*i wrt i.\nAnswer: -156860*i**3 + 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164994241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/528272 and -99\/15344.\nAnswer: 3697904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {g: 2, s: 3, p: 1, m: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32034454 - 4?\nAnswer: 32034450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -535 + 538. Suppose -m = v - 342, -1047 = -o*m + 3*v + v. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let h(m) = m + 1. Let d(v) = -50*v + 5. Let l(g) = d(g) + 5*h(g). Calculate b(l(u)).\nAnswer: -90*u + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 90. Solve -2*s = -5 - 5, 2*s = k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 14, -0.3, -1, -0.7 in descending order.\nAnswer: 14, 0.09, -0.3, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(240) - -2*sqrt(240))\/sqrt(12))\/(sqrt(10) - sqrt(640)) + -4)*-6)**2.\nAnswer: 864*sqrt(2)\/7 + 28872\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzjzzzzjjjjz. What is prob of picking 4 z?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 5*g**2 + 6*g + 3. Let q be (-6)\/(-2)*(-2 + 0). Let b be k(q). Let m be (-13 + b)*(-28)\/8. What is the greatest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -2.9 (c) 3\/7 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -143599.\nAnswer: -430797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {x: 5, p: 3, f: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {d: 2, v: 1, f: 6, a: 1, b: 8}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2. Let r be v(3). Suppose -r = -p + 81. Suppose t - 45 = -3*n, 0 = 5*t + 3*n - 75 - p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04114, 19, 1 in decreasing order.\nAnswer: 19, 1, 0.04114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 5, 26\/3, 14, -1\/8, -2\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 51*t - 593. Let s be b(34). Let v(i) = 2*i**2 + 33*i + 13. Determine v(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 + 8*h - 5. Let n(c) = -c**3 + 2*c**2 + 7*c - 4. Calculate -3*n(p) + 2*r(p).\nAnswer: p**3 - 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4088? (a) -1\/4 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38242350 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129 (base 15) to base 11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1275, 2, 8, -4?\nAnswer: -0.1275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 2*q**2 - 5*q**2)*(5*q - q - 3*q)*(-5 + 6 + 7) as y*q**2 + d + v*q + w*q**3 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w - 28 + 2*w - 26*w + 14*w + 19*w.\nAnswer: 30*w - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*k + 50*k**2 - 761*k + 1527*k - 2.\nAnswer: 50*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) + 54\/12. Let s be 347*1*(z + -2). Suppose -306 + s = 5*t. What is the remainder when t is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1430, 25, -12 in decreasing order.\nAnswer: 25, 21, -12, -1430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + -5 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 31952 = z - 41*z - 29408 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 0.5. Let x = -246926 - -246926.299982. Let j = x - s. Round j to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40123 take away 760.7?\nAnswer: 39362.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 489 = 5*i, -i + 129 = z. What is the highest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25313.2 - -1.00455.\nAnswer: 25314.20455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 0*x**3 - 10*x**3 + 5*x**2 + 7*x - 4*x**3.\nAnswer: -14*x**3 + 5*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 - 7611*x**4 + 15*x**3 + 38055*x**2 - 12*x - 30444 = 0. What is x?\nAnswer: -2537, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 10*u + 13. Is g(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**2\/2 - 9*v - 2. Let h be s(-7). Let z(w) = 4*w + 74 + 5*w - 7*w + w - 72. Determine z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2799*m + 884*m - 814*m.\nAnswer: 2869*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.5. Let y = -0.7454 - 1.2546. What is the closest to 75 in -0.5, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89163 is divided by 960?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 2646884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-15 + 10 + -6)) + 40 - 3\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 5022 in descending order.\nAnswer: 5022, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 2*r - 33. Let g be t(-6). Let q = 68 - g. Suppose s - 1496 = -5*o, 0 = q*s - o - 3*o - 7393. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (81\/(-54))\/(1\/2). Let f(z) = z**3 + 3*z**2 - 2*z. Give f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18794 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 2. Let z be h(2). Let a be (6 - 16)*((-798)\/4)\/(-3). Let g be a\/57*12\/(-14). Solve g = 5*n, 0 = 2*t + 3*n - 6 + z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 14*i**2 + 12*i + 19. Determine d(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-5)\/((-265)\/318)*6\/(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 13*a**2 - 16*a + 8. Let r be (-2 - 14) + (-10)\/(-5). List the prime factors of m(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -51*j - 33*j - 4*j + 1 + 17*j. Let m = 38 - 39. What is the units digit of s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 17. Let u = c + 6. Suppose -7*o + 370 = -u*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*p = -2, 2*v + 5 = 5*p - 0. Suppose v = -3*r + 6*r + 18. Let f be (-33)\/((27\/r)\/3). What is the greatest common factor of f and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*t + 866, -2*j - 8*t = -4*t - 356. What is the remainder when 689 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1040344344 - -34?\nAnswer: 1040344433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 - -6.354277\nAnswer: 6.064277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 20*i**2 - 130*i - 2. Calculate w(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i**2 - 4*i + 38. Determine a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggghggggggggghhh. What is prob of picking 3 h?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 8*b + 6. Let d be l(7). What is the nearest to 1 in -0.5, -4, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 20*w + 37. Let j be q(17). Let a = -90 + j. Calculate the smallest common multiple of 28 and 23 + 6 + (3 - 6) - a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18 + 6)\/(2*-1). Suppose -d*i - 4067 = -13*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -33. Solve -5*v - 9 = -i - u, 3*v + 2 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(12\/(-10) + (-102)\/(-102)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333\/3 - (-1249 + 1324).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3 - 309206*h**2 - 2473550*h - 4637850 = 0.\nAnswer: -154595, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 147075 to the power of 1\/2, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o + 992 - 915 - 9*o + 3*o. Calculate j(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/8 in -3, 0.4, 4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 539 + -321. Let 42*z**3 + 4 + 58*z**4 + 8*z**2 + t*z**5 - 4 - 206*z**5 = 0. Calculate z.\nAnswer: -4, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Suppose -5*s = 2*j - 35, i*s + 2*s + 4*j = 30. Let k be ((-2)\/(-12))\/(4\/(-6)). Sort k, s, -3\/2 in descending order.\nAnswer: s, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 115*z**3 - 26*z**2 + 7*z**2 - 2*z + 11*z**2.\nAnswer: 115*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 18 - 149 = 0. List the prime factors of x.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.44 - 9.969. What is h rounded to 2 decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-420)*1085 + -36)*(-2 - (-39)\/21)\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d)**(-2\/117)*(d\/(d*(((d**5*d)\/d)\/d)\/d*d*d))\/(d**(-2\/23)\/d) assuming d is positive.\nAnswer: d**(-3464\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(1\/3)*z)**(6\/17)*(z\/(z**(-1\/4)\/z))\/z**(-4))\/((z*(z*z\/z**(4\/5))\/z*z*z)\/z**(2\/29)*z**6\/(z\/(z**(-4\/3)*z))) assuming z is positive.\nAnswer: z**(-7501\/29580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 1367*y**2 - 11 - 78*y + 640*y**2 + 725*y**2.\nAnswer: -2*y**2 - 78*y - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - h - 41 = 0, 3*u - 2*h - 166 = -42. Let r = -231 - -239. Let x be (-5)\/(10\/72)*(-14)\/r. What is the highest common divisor of u and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(2\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/2)\/(14\/(-13786255)). Let k = q + 19711867\/10. Let t = k + -1724. Calculate the common denominator of -17\/11 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4 + (0 - 1 + 3)*(-4 + 6 + 0) - 1 + 1 + 2)*(-53483 + 53483 + 743*u**3).\nAnswer: 2972*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(-3*q + q + q)*(-1612 + 3250 - 1363).\nAnswer: 825*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u + 40. Let v be w(-3). Let l = -20 + 39. What is the highest common divisor of l and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Suppose -m = -2*q - 2, 0*m - 13 = -4*m + 3*q. Let y be (-2)\/(-8) + 19\/4. Put i, m, y in decreasing order.\nAnswer: y, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, e: 1, h: 1, m: 1}. What is prob of picking 1 x and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 16714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 82. Let i(q) be the third derivative of 0 - 2*q**2 + 0*q**3 + 0*q + 1\/24*q**4 + 1\/20*q**w. What is the second derivative of i(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 at most as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 4*y - 4 + 1, -3*j - 5*y + 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 - ((-300)\/(-108) + -10). Solve u - f = -2*z, 0 + 18 = 3*u + 3*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.36\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -950665 divided by 1.\nAnswer: -950665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3400, -96, 45 in descending order.\nAnswer: 3400, 45, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191847720 is divided by 4475?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 = 111. Suppose -6*h - u = -h. Let y(a) = -14*a - 5. Is y(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3)\/(2 + -5). Let t be (-1*1)\/((-1)\/m). Let p be (-207)\/63 - (-4 - t). What is the biggest value in -5\/3, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 5*i + 4. Let s be 33\/88 - 54\/16. Suppose 2*m - 4*m - 12 = 0. Let d(r) = r**2. Let c(v) = m*d(v) + s*t(v). Factor c(k).\nAnswer: -3*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (10 + 13 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i - 971 - 706 = 4*i - 177 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104.94 - 106. Let y = l + 1. Which is the closest to -2\/3? (a) 0.4 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219980 rounded to the nearest ten thousand?\nAnswer: 3220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334976, -334974, -334972?\nAnswer: -334970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -34 - (17 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 4*w - 6, 2*p - 2*w + 8 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 5*h)*(h - 3 + 3) + 2618318 - 2618318 + 2683*h**2 + (2*h - 5*h + 2*h)*(-h + 0 + 0).\nAnswer: 2687*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.343 equal to 6.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1\/7 (c) -30 (d) 2\/9 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12113 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 676 + -666. Suppose 2*v = 6*v - 64. What is the lowest common multiple of v and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -120\/7, -0.2 in descending order.\nAnswer: 4, -0.2, -120\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*18\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -38, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105951281\/11232 - 122628\/13. Calculate the common denominator of -59\/36 and h.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 21*l**2 + l + 4. Let o(m) = -m**2 + 33*m + 194. What is the remainder when i(-2) is divided by o(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 15831.\nAnswer: 15820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23 from 15.526.\nAnswer: 15.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbnc when four letters picked without replacement from {h: 4, c: 3, b: 4, n: 7}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(-1 + 2 + 0) + 0 + 2 + 1)*(-i - 4*i + 3*i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*r = 15, 4*r = 17*w - 22*w + 21. Sort -4, w, 3, -3 in descending order.\nAnswer: 3, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide (-3)\/((-117)\/(-6)) - (-44781)\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - 10) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2385, 0.1, 21, -3, -5, -1 in increasing order.\nAnswer: -2385, -5, -3, -2, -1, 0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 1, 2, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94194492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**4*y)\/y)**15)**17*(y**(-4)*y**10*y)**(3\/20) assuming y is positive.\nAnswer: y**(-15279\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2. Let m(u) = 19*u**2. Calculate m(i(n)).\nAnswer: 1539*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629999 (base 10) in base 15?\nAnswer: 36e3d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = -2*g, 5*o + 0*g - g = 39. Suppose o*b = 9*b - 458. List the prime factors of b.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5018*q**3 + 9*q**2 - 10*q + 7. Let g be k(-5). Suppose -13*t + g = -1244468. What is t rounded to the nearest one thousand?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -37. Suppose 2*o + 18 = 2. Let i(s) = 5*s - 8. Let g(y) be the second derivative of -y**3\/3 + 3*y**2\/2 + y - 4. Give k*i(c) + o*g(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1337*o + 231. Let v(z) = -104*z + 18. Let h(k) = -6*d(k) + 77*v(k). Let b(n) = -125*n**2. Calculate b(h(x)).\nAnswer: -24500*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7239 and 284696?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r + 0*r - 2*r - 2*r in the form q + j*r and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -821365 divided by -61\nAnswer: 13465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/26 + 160\/26. Let d be 238\/18 - s\/27. Suppose 2*z - 2*g = 6, -d = -5*z + 4*g + 3. Sort z, -2, -4.\nAnswer: -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/4000602 and -91\/1263348.\nAnswer: 24003612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 307, 1173, 2903, 5785, 10107?\nAnswer: 16157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by ((-3)\/(-3) - 1) + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b*b**(2\/3))\/b)\/b)**41*b\/b**(1\/5)*b*b*b**1 assuming b is positive.\nAnswer: b**(1082\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 48*q + 5*q**3 + 75 + 74.\nAnswer: 5*q**3 + 48*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -155 + 161. Suppose -f + 3 + 4 = 4*r, -3*r - 3*f = c. Let a(y) = y - 2. Let t(z) = -z**2 - z + 2. Determine r*a(b) + 2*t(b).\nAnswer: -2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - u - 2. Let y(i) = -2*i**2 + i + 2. Let j = 22 - 18. Determine j*b(x) + 3*y(x).\nAnswer: 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13070 = -3305. Let u(l) = l - 2044 + i + 0*l + l. Let d(j) = -2*j. Give d(u(n)).\nAnswer: -4*n + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(1\/(-5))\/((-6)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 595.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 199032444 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1726131 and 10203?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:46 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1482 and -4.\nAnswer: 5928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 1.5. Let g = v + -1.2. Which is the nearest to g? (a) 2 (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10 - 4*r + 6 + 2*r**2 + 2. What is the units digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*y - 4*y. Suppose -3*u + y = 3. Suppose 3*q - 201 = 2*s, -u*q + 0*q + 3*s = -204. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 4:44 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3 + (-27 - -17 - ((1 - 13) + 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -1\/4 (c) 458\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -180889.5 rounded to the nearest one hundred?\nAnswer: -180900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80190 is divided by 11455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69682165*h**2 - 59495428*h wrt h?\nAnswer: -139364330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -20 (b) 3\/2 (c) -2\/5 (d) 4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 12*v**2 + 48*v - 59. Let k be c(-17). Calculate the highest common factor of k and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.72 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742074 is divided by 13997?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 11*d - 1. Let a(b) = 3*b**2 - 10*b. Let v(j) = 5*a(j) - 4*y(j). What is the lowest common multiple of v(-2) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -8, -22, -54, -110, -196, -318, -482?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 322e?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(((-51)\/(-42))\/17))\/(-8*7\/(-140))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5316 = -8*a. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12*(4 - (-94)\/(-4)). Let z(p) = -p**3 - 12*p**2 + 11*p - 21. Calculate the remainder when 10 is divided by z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 5 - 78*x + 123*x - x**2 - 81*x.\nAnswer: -x**2 - 36*x + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664507869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48905599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -4\/19933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 4*y**2 - 50*y - 366. Let f be p(-6). Solve 4*g + 3*i - f = 2*g, 4*i - 1 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 3:59 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:26 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 3:06 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14102520 by -207390.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1212200101 (base 3) to base 16\nAnswer: 9052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w - 15*w + 3*h + 12, -3*h + 18 = 3*w. Suppose 0 = -w*u + g + 17, -5 = 4*g + 3. Solve -1 = -x, 11 + 0 = 4*p + u*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 4*n**2 - 32*n**2.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9849675ml?\nAnswer: 0.0009849675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*d + 2*d. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*g**3 - 39*g**3 - 12*g**3 - 18*g**3.\nAnswer: -139*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**2 + 35*x - 21. Give a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825777 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89023 is divided by 3533.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:31 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2165 is divided by 1021.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 92.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:10 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**4\/24 - 7*x**3\/6 + x**2. Let h be q(7). Suppose 4*t - 8 = h, 0 = -3*o + 5*t + 8 + 15. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39675523177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, -1491, -3118, -4745?\nAnswer: -6372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -24*l**3 + 7*l**2 + 13*l + 9. Let n(s) = 6*s**2 + 41*s - 9. Let t be n(-7). What is the tens digit of f(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 3.3\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3736, -3739, -3852, -4135, -4648, -5451?\nAnswer: -6604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1532 or 1120?\nAnswer: 1120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/156 and 61\/5200.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101483305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 1, b: 1, z: 2, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.021 + 0.021. Which is the fourth smallest value? (a) -2\/13 (b) 0 (c) j (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t. Let u(m) = 9134*m. Determine u(x(g)).\nAnswer: 45670*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (16\/(-8))\/((-5)\/40).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-138)\/3*-8 - -7) + -7 + 7. Calculate the highest common factor of 625 and d.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207927488*w**4 + 32609*w**2 - 2506*w?\nAnswer: 4990259712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1852 + 4.6938. Round h to 1 decimal place.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Solve 2*h = -r*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 29*z**2 - 3*z - 14. What is the thousands digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*p + 87 - 17, 2*p = 13*r + 241 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7626.56 + 0.7?\nAnswer: 7627.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*b = -3*x - 8, 21*b - 63 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99489 = -896*b - 1424*b - 231*b for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t + 2. Let s(r) be the second derivative of r**5\/20 + r**4\/12 - r**2\/2 - 2*r. Let c be s(1). Let k(g) = -g. Let w(d) = c*v(d) - 4*k(d). Give w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 - 574*y**2\/5 + 7889*y\/5 - 5488.\nAnswer: (y - 560)*(y - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.463, -0.5, -0.36 in decreasing order.\nAnswer: 4.463, -0.36, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 14*g**2 + 18*g + 51. Let p be y(12). Which is the second smallest value? (a) 5 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqqqzzqqzsqzqzqzqqz. What is prob of sequence qq?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 2*s + 65, s = 3*y + 6169 - 5988 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 12) to base 7\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 162 and 162 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1516, 2\/11, -3 in decreasing order.\nAnswer: 1516, 2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)\/z*z**(-2\/23))\/((z\/(z\/z**(-1\/7)))\/(z\/z**0))*(z*z*z**0\/z)**(-34)\/((((z*z\/z**(-2)*z)\/z)\/z)\/z**(-1\/4)) assuming z is positive.\nAnswer: z**(-48389\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -12. Suppose -2*w + 7 = 4*k + 1, 5*k = -w + x. Let s(j) = 11*j - 2. Is s(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 6. Let g(j) = -3*j - 5. Let s(y) = 3*g(y) - 2*t(y). Let q be s(-6). Suppose q*z + 0*z = -18. Does z = -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -83\/2*g + 65 + 3\/2*g**2 = 0. What is g?\nAnswer: 5\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12967*j - 1 + 1 + 13222*j)*(j**3 + 0*j**3 - 3*j**3) as l + n*j**3 + t*j + x*j**4 + y*j**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 670572 and 1458?\nAnswer: 18105444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96661117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -190\/3 in 0.1, 0.023, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 79 = 8*d. Factor -5 + 4*b**2 - 17*b**2 + 3*b**2 + d*b**2.\nAnswer: 5*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:52 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 344\/688*(13\/3 - 1). Let a(f) be the first derivative of -11 - 20*f**2 - u*f**3 - 80*f. Find z, given that a(z) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3, -4*r + z - 6*z + 27 = 0. Let h be (16\/r)\/((-11)\/(-13200000)). What is h rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/585 and 119\/156.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2592*v - 2594*v = -3*h + 35, 166 = 5*v + 12*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10242020 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*c**4 + 0 + 1\/5*c**5 - 11\/5*c**2 - 21\/5*c**3 + 0*c = 0 for c.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.134 times -1.2915\nAnswer: 0.173061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolbbblolllboaboboll. Give prob of sequence bo.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.01, -4, 0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17 + -2 + -10)\/(1\/2). Suppose g*u - 20 = -0*u. Solve -a + u = -3*b - 0*a, b + 6 = -a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 5030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1982\/9 - 14051\/63. Calculate the common denominator of v and 64\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*l - 67 = 30*l + 917. Solve 0 = -19*w + 16*w - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 2*c**4 + 22 + 3*c - c + c**2 - 2*c**3 to the form s + k*c + f*c**2 + t*c**3 + h*c**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*q - 481993 = -155593. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -23?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 199*t + 139511. Determine r(486).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0 + 0 - 5 - 13*c**2 + 7 + 2*c**3 + 11*c - c**2. Determine g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117753799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 6)*3\/(-9). Suppose -u*k - 1 = -k. Calculate the remainder when k*26\/(-1 - 1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 25 = -6*u. Let r(o) = -2*o**3 + 3*o**2 + 2. Let s(t) = 4*t**3 - 5*t**2 - 5. Calculate u*r(l) + 3*s(l).\nAnswer: 2*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 40. Suppose -15*f + 12*f - 3*s = -1617, -i*f + 2174 = -2*s. What are the prime factors of f?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:25 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u + 4*u)*((1 - 1 + u)*(-4 + 2 + 0) + 3 - 6 + 1 + 12*u).\nAnswer: 60*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1012441?\nAnswer: -1012442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19741906*w**4 - 6123780*w - 1 wrt w?\nAnswer: -236902872*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 o when four letters picked without replacement from {o: 3, u: 9, j: 3, r: 2, d: 2, w: 1}.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from oioiiioiibiobyiy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.2. Let i = 0.054 + 4.946. Which is the nearest to -0.3? (a) r (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 39*n**2 - 86*n + 450. Let h be c(37). Calculate the greatest common factor of 2460 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 30 = -2*a, -4*k + a + 120 = -4*a. Let i = k - 20. Suppose -i*y = -y - 963. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**6\/40 + i**5\/30 + i**4\/4 + 459*i**2. Let j(u) = -4*u**3 + 3*u**2 + 9*u. Calculate -7*a(p) + 5*j(p).\nAnswer: p**3 + p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*s - 45*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 - n - 9. Let g be w(3). Let y = g + 25. List the prime factors of y.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + n**2 - n + 10. Let a be c(0). Suppose 0*t = 4*t + 8. Let s be (t - (-12)\/3) + 0. Solve a = -4*i + s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 8*i**2 - i**2 + (-48*i + 5*i - 3*i)*(i - 4*i + i) in the form c*i + z + a*i**2 and give a.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/10 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -13 - 7. Let a be (g\/(-6))\/(3\/(-9)). Solve 8*r - a*p - 21 = 3*r, -5*r + 23 = -p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -219, -588, -1111, -1788, -2619?\n\"Answer: -77*l**2 - 138*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20471073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 404 - 464 = 7*p. What is the highest common factor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*m - 140 = 104, 3*w - 758 = m. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((3 - 1) + -8). Let u = -4 - z. Suppose r + 19 = 3*a - 3, 0 = -u*a + r + 13. Solve 4 = -k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -30. Which is the biggest value? (a) k (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 204369, 204074, 203779, 203484?\n\"Answer: -295*d + 204664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34310510 (base 7) to base 16.\nAnswer: -2db07b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 685, 1, -5?\nAnswer: 685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 24991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -267*h - 168. Let d be c(-10). Let s = d - 769. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13116 (base 7) to base 12\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 505913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 10*a**2 - 3 + (3*a - 2*a + a)*(a - 2*a + 3*a) as q + x*a**2 + l*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:35 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1966 - -1965.7. Let l = -1\/9 + 29\/18. What is the biggest value in -4\/3, -15, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264255, -528504, -792753?\nAnswer: -1057002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1785533 and 1730?\nAnswer: 17855330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(294)*2*3 + sqrt(294) - sqrt(294))\/(-5*(sqrt(300) + -2*sqrt(300)) + sqrt(300))*6.\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 2\/7, -4, 16.88?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410816363 by 29819.\nAnswer: 13777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 3815?\nAnswer: 7630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.1714 years in millennia?\nAnswer: 0.9421714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v - 64. Let m = 34 - v. Calculate the least common multiple of m and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmppmmpzpmzmu. What is prob of sequence zu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j**4 + 0*j**3 + 66*j - 113 + 0*j**2 - 16\/5*j**5. Differentiate l(c) wrt c.\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l + 28*l - 372 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2551960 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/7 and 79\/297768.\nAnswer: 2084376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2333123821 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6175 + 3958 = -377*h - 7381 - 12269 for h.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 31, 5, -8, -5, -1 in decreasing order.\nAnswer: 31, 5, 0, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0007+-63\nAnswer: -63.0007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 275424.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 3*b**2\/2 + 7*b - 7. What is the first derivative of y(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.9632043 to 1 decimal place.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2. Let i(y) = 263*y - 147*y - 142*y. What is i(h(d))?\nAnswer: -78*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-246180)\/(-198) + -1 + 2\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 2. Let t(o) = -10*o - 11. Let x(b) = 3*n(b) - t(b). Let p(l) = 5*l + 17. Determine -2*p(g) + 3*x(g).\nAnswer: 2*g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -111010 (base 2) to base 16\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 310.9 and 17.\nAnswer: 327.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -6. Let c be (-1)\/2*-1*2. Sort z, 2, c in increasing order.\nAnswer: z, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -637*-1*4\/14 and 208?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -7769 (c) 125\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*6 - sqrt(130))\/((2*sqrt(80))\/sqrt(8)).\nAnswer: -13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 12*h + 24 = 0. Suppose -3*k = -h*k + 75. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28 - 18\/(-3))\/(-4) + -5. What is the nearest to b in 12, 0.5, -0.038?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {b: 11, i: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171\/440 - -1\/88. Put -5, 1\/5, b in decreasing order.\nAnswer: b, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 5 - 21*i - 37.\nAnswer: -18*i - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.810351 centuries to decades.\nAnswer: 58.10351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -184138263.\nAnswer: 184138276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - f + 346 = -7*l, 0 = f - 4. Let v = 121 + l. Solve v*b - 2*b = -20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 615.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**6\/210 + y**5\/30 - y**4\/12 + 2*y**3\/21 + y**2 - 5*y. Let i(p) be the first derivative of w(p). Factor i(f).\nAnswer: -2*(f - 2)*(f - 1)*(2*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -69*l**3 + 14*l**2 + l - 330. Let j(q) = -23*q**3 + 4*q**2 - 110. Let c(s) = -7*j(s) + 2*v(s). Find the first derivative of c(h) wrt h.\nAnswer: 69*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232317854 a multiple of 2533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 800963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (213 - 233 - (-734)\/15) + -29?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/2*(-40)\/(-3). Let x be (-2)\/(-7) - i\/14. Let g be ((-6)\/x)\/(9\/(-4)). Which is the nearest to -1? (a) g (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -858 + 858.3. Which is the nearest to -0.1? (a) 1 (b) -0.014 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (83 - 135)*(-10)\/(-20)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 - 122. Find the third derivative of 97*k**y - 1 + 2*k**3 - 2 - 2*k**2 - 113*k**4 wrt k.\nAnswer: -384*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 10*l**7\/7 - 62*l**6\/15 - 39*l**5\/5 - 3*l**4 - 52*l - 2. Solve i(k) = 0 for k.\nAnswer: -3\/5, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136911 + -77762. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.2, -2, 8, -3, 0.3, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58812217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0.2, -1414450, 0.3.\nAnswer: -1414450, 0.2, 0.3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 12. Calculate the greatest common divisor of 40 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:04 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let n(r) be the first derivative of 1\/40*r**5 + 1\/3*r**3 + 0*r + 0*r**2 + 0*r**4 - 2. Let s(j) be the third derivative of n(j). What is k(s(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2 - 46*f - 8. Give m(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 6, 1\/411 in descending order.\nAnswer: 6, 1\/411, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**21\/a))\/a**(16\/3) assuming a is positive.\nAnswer: a**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, v: 7, k: 1}. Give prob of picking 2 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 30 = -2*h - 5*d, -d = -4*h + 36. Solve -4*u = -u - 2*b + 6, h = -5*u - 3*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9121 divided by 3.\nAnswer: -9121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -2*o**3\/3 + o. Let n = 5 + -3. Let x(i) = -7*i**2 + 7*i**2 + 2*i**n. Calculate q(x(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:42 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12013786 is divided by 982?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25117903 to 4 decimal places.\nAnswer: -0.2512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 14*t - 9. Determine s(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (405\/(-36))\/(-9)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0*(-10)\/(-50))\/(0 + 2). Solve v = -a + 6 - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1759 - 342. Let p = k + -606. Suppose -p - 193 = -4*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.4742 and 38.\nAnswer: 24.5258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 19*x**2 + 135*x + 2052. Give u(-19).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 3*u + 5, -3*u + 0 - 11 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.2 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -0.0818 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3360279 by 39.\nAnswer: 86161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -3, 1\/7, 1\/84, 7 in descending order.\nAnswer: 7, 1, 1\/7, 1\/84, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208 + -124. What is the remainder when s is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -13*r**2 + 1 - 4 + 0 - 13*r. Let z(h) = -2*h - 18. Let p be z(-14). Let v(c) = -p*c**2 - c - 3*c - 1 + 6*c**2. Determine -2*a(q) + 7*v(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsokxgs. What is prob of sequence gko?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -278d8 + 4d5?\nAnswer: -27403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/120 - 7*q**5\/30 + 11*q**3\/6 - 6*q**2. Calculate the remainder when 1 + 1 + 15 + 4 is divided by h(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38264.67 minus 8498?\nAnswer: -46762.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10100000000111000 (base 2) to base 14\nAnswer: 21c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1849, -1850, -1851?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -4\/3, 2.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 6*u - 239. Give b(18).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -5*f, -2*f + 37 = 3*u - 0*u. Let x = -29 - -31. Suppose -11 = -3*n + w + 48, 2*w = x*n - 38. Calculate the remainder when n is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121573332 to the power of 1\/3, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23780 and 2735930.\nAnswer: 158683940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*6\/4. Let o be (30\/(-8))\/(6\/(-32)). Let g be (-12)\/o + 1\/1. Which is the third smallest value? (a) -1\/7 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y + 60 = 0. Let n(i) = -i - 3. Let c be n(14). Let h = c - y. Calculate the highest common divisor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*d**(-5))\/d*d**(2\/9))\/((d**3\/d*d)\/d**5) assuming d is positive.\nAnswer: d**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339745.\nAnswer: 5, 7, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 + 204. Solve 4*l = 3*k + i, -5 - 15 = 4*k - 4*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.14 + -0.14. What is the third biggest value in -1, u, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2545*a + 48 = -88*d + 88*d - 2541*a, 4*a = -2*d + 56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*n + 11, -22*s = -18*s - 4*n + 28. Let q be (6 + 36\/(-5))*s. Let r(c) be the first derivative of c**2 - 9*c + 1. Determine r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 2*d - 1431. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 547952 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 7*b + 14. What is p(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llle when four letters picked without replacement from {l: 5, e: 1, b: 1, y: 3, i: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2, -4420, -42\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g - 5*u = 5, -2*u = 2*g - 6. Suppose g*o = -2*j + 15, -j + 4 + 5 = 3*o. Solve 0*q - 4*q = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - 3 - (-31 + 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 15*h - 10. Let y be (-3 - 205\/(-25))\/(4\/10). List the prime factors of d(y).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 36*q - 108. List the prime factors of t(16).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-45)\/(-50)*(14\/(-6))\/7*14.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/5291 and 16\/22607.\nAnswer: 248677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -11. Let l(h) = -h + 2*h - 4*h - b*h. Let c(m) = 2*m**2. What is l(c(x))?\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12003203303000 + -1?\nAnswer: -12003203303001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39389 + 80042 - 2*w - 39739.\nAnswer: -2*w + 914","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 446432.5g to nanograms.\nAnswer: 446432500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2 (b) 1397 (c) 3 (d) 2\/17 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -97735, -195469, -293203, -390937, -488671?\n\"Answer: -97734*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 10. What is a(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 24849786\nAnswer: 2\/12424893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2061281 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 15*o**2 - 5*o - 69. Calculate the remainder when 1736 is divided by u(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aae when three letters picked without replacement from eeeaaeaaeeeeabaeae.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127246.9 millilitres to litres.\nAnswer: 127.2469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 714 and 3508834.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmhm. What is prob of picking 1 m and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 4. Suppose 2*n - 3*d + 0*d = -3, 0 = 3*d - 15. Calculate the remainder when c(n) is divided by 9\/6 - 9\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -5. Suppose 10 = 5*m, -5*q - 297 = -0*m + 4*m. Let b = -49 - q. What is the lowest common multiple of b and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 7) in base 13?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3 - 2*b - 3. What is the remainder when 27 is divided by o(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1860)\/(-775))\/((-28)\/10)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 e when four letters picked without replacement from ekkne.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*b - 2*b + 4*b)*(-16*b - 1 + 3 + 11*b) to l*b**2 + t*b + q and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 13*u + 562. Let o be b(-31). Let w = -5 - -15. Let f be (200\/125)\/(o\/w). Solve -3*m - 14 = f*c, 5 = -c - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.46 + -1.5. Let s = -1.47 - g. Let w = s - -0.13. Is 0.1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-12)\/(-3) - 30. Let h = f - 13. Let a = 50 + h. Calculate the smallest common multiple of a and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -295.68 - 86.22. Let a = g - -382. What is the biggest value in -0.5, a, 5.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e6 (base 15) to base 14\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 22*o - 96. Let x be 8\/20 - 26\/(-10). Solve -4*l - 5*c - o = 0, x*l - c - 12 = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6538, 12978, 19418, 25858, 32298?\n\"Answer: 6440*m + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1044251140?\nAnswer: -1044251134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 10*q = -408. Let c(t) = 0*t - 4 - 20 - 5*t + q. Let m(b) = -4*b - 6. Calculate 6*c(d) - 7*m(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221\/466 - -6\/233. Which is the nearest to 2\/7? (a) 5 (b) -1 (c) g (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-49)\/(-105)*18\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 110892.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -676*p**2 - 233911*p\/2 - 2595\/2 = 0. Calculate p.\nAnswer: -173, -15\/1352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**7\/210 + f**6\/120 - 3*f**5\/20 + 11*f**4\/24 - 2*f**3\/3 - 2*f**2. Let r(c) = 0. Calculate c.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 114.7. Let k = b - -8.4. Is k >= 11.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -10. Suppose 2*h = 3*h - 24. Let b = -13 + h. Calculate the remainder when f is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 26. Let u(p) = 14*p**2 - 5*p + 13. Let b(g) = -5*g**2 + 2*g - 4. Let m(i) = -7*b(i) - 2*u(i). What are the prime factors of m(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 47277.73 centuries?\nAnswer: 4727.773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) 2\/49 (d) -22 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 261, 327, 463, 693?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, b: 2, j: 1}. Give prob of sequence bjz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649 = -4*w - 49. What is the highest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 684915.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*u + 100 = 72 + 706 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, 7, 78, 167, 268?\n\"Answer: -p**3 + 18*p**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8286 - -9637. Which is bigger: u or 4051\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - 22\/(-6). Suppose -8 = f + d*f. Let j = 12 - 13. Put -2\/7, f, j in decreasing order.\nAnswer: -2\/7, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532572936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exvevvvvvxvxvvvvv. What is prob of sequence xv?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Let n = -1.1 - -1.5. Let z = n + -3.4. What is the nearest to z in 0.4, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17))*-3*6.\nAnswer: -18*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525415 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 97\/(-970)*1\/((-2)\/32). Factor 4\/5*k**2 + 0 + r*k.\nAnswer: 4*k*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 483 + -477. Let h(w) = 5*w + 11. Let u(y) = 2*y + 5. Let v = 9 - -5. Let p(r) = v*u(r) - 6*h(r). Determine p(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 8*h + 360. Suppose -4*k + h = -55. What is the remainder when 97 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.51 - -0.61. Which is the closest to v? (a) -0.04 (b) -1\/9 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30720115 and 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15232, -122051, -411988, -976603, -1907456?\n\"Answer: -15260*k**3 + k**2 - 2*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 28\/11 - 2\/11*j**2 - 26\/11*j = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*i - 11 = 0, 5*b - 33*i + 34*i - 19 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/144*2*(-3)\/20.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 61 - (88 - (92 - 3))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 43 - 13. Let c = -7 + 14. Suppose 0 = -5*a + v + 16, 4*v = 4*a - 3*a - c. Solve -3*s - a = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(7\/3)))\/d)**(3\/13)\/((d\/(d**3\/d)*d)\/d**(-1\/14)))**(-43) assuming d is positive.\nAnswer: d**(-1849\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463385 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-12)*100\/450. Let s be (-11)\/7 - (-12)\/42. Let h = -52\/35 - s. Which is the closest to q? (a) -2\/9 (b) h (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 212 - 72. Suppose -2*u - 4 = -0*u. Let b = u - s. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3321043 (base 5) to base 14\nAnswer: 1701a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 349685 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwowow. Give prob of sequence ww.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*c + 12. Let y be 1\/4 - 14\/(-8). Let r(i) = i - 6. Let f be r(5). Sort f, c, y in increasing order.\nAnswer: c, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9788636 is divided by 4894313.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 y, and 1 j when four letters picked without replacement from {m: 5, q: 2, y: 3, j: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-3*(-10 - -28)\/108?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 39408*q**3 + 258949860*q**2 - 568220182400*q + 5093035418250.\nAnswer: 2*(q - 6565)**3*(q - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.116 + 7.116. Which is the biggest value? (a) -0.2 (b) z (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + -12. Let y = i - -180. What is the remainder when 29 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*m = n - 153992, 0 = 4*n - 5*m - 123178. What are the prime factors of n?\nAnswer: 2, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 74*w = 153 + 247. Sort 8, 9, -4, w in ascending order.\nAnswer: w, -4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m - 41. Let p be h(7). Which is greater: 89\/3 or p?\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 12*h - 93. Let i(j) = j**2 - 11*j + 95. Let n(q) = 6*i(q) + 7*l(q). Factor n(o).\nAnswer: -(o - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345866835 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**19*w**(-2\/43))\/(w*w**4)**(-3\/5) assuming w is positive.\nAnswer: w**(987\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(3\/10))\/(u\/(u*u\/(u*u\/(u\/(u**(2\/15)\/u)))))*(u**(2\/23)*u)\/u**(3\/10))**(-2\/15))**(10\/13) assuming u is positive.\nAnswer: u**(-4076\/13455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**14\/y**(-7\/5))**6*(y**(-7)*y**(-1\/9))**3 assuming y is positive.\nAnswer: y**(1066\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*c*f**2 - b**2 + 85*b*f**2 + 9*c*f**2 + 7*c wrt c.\nAnswer: 2*b**2*f**2 + 9*f**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 282165, 564308, 846433, 1128540?\n\"Answer: -9*f**2 + 282170*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -3, -6, -11, -18, -27?\n\"Answer: -g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/6)\/((-1107)\/492).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 2.51\nAnswer: 12.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 + 3*q - 13. Suppose 0 = 2*n - 0*n - 6. Suppose -n - 5 = -2*v. What are the prime factors of u(v)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1043411 (base 5) to base 11\nAnswer: -12a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 23. Let c = -14 + k. Let t = 2 + 2. Put 1\/4, c, t in increasing order.\nAnswer: c, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1322 (base 10) to base 7.\nAnswer: 3566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.999938 millilitres to litres.\nAnswer: 0.004999938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*t**4 + 288*t**4 + 114*t**4 + (t + 0*t - 3*t)*(-3*t**2 - t**3 + 3*t**2) - t**3 + t**4 + t**3 + t**4 - 4*t**4 + 2*t**4.\nAnswer: 436*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.6734 months in years?\nAnswer: 8.13945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**4 - 860050*v**3 - 36981719885*v**2 + 221913541200*v - 332881922880 = 0.\nAnswer: -86008, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 7) to base 3.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7355\/4 + -1838. Factor -2*m**3 + 0 - 1\/2*m - n*m**4 - 7\/4*m**2.\nAnswer: -m*(m + 1)**2*(3*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64, -81, -110, -151, -204, -269, -346?\n\"Answer: -6*l**2 + l - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 1, 5*o - 51 = -3*h + 166. Suppose 0 = -5*u - o + 159. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 0.04. Suppose -5*i = 10, -3*p + 5*i + 16 = -6*p. Let v be -4 + (-40)\/(-7) + p. Which is the nearest to v? (a) -2 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -12 + -1 + 4 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/136 and -73\/36.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4650, -4668, -4694, -4728, -4770, -4820, -4878?\nAnswer: -4944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 21811*f - 6041648. Give i(277).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-1)\/(-2))*-18. Let b be ((-20)\/(-25))\/4 + 105\/(-25). Calculate the smallest common multiple of b - -18 - o\/3 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 1 + 2*d**3 + 17*d**4 - 4*d - 18*d**4 to a*d + h*d**3 + p*d**4 + b*d**2 + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9493548*m**3*u**3 + m**3*u**2 - 99*m**3*u - 3*m**2*u**2 - m**2 - 40*m wrt u?\nAnswer: 56961288*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 0*v - 15 + 2\/5*v**5 + 1\/6*v**3 + 1\/8*v**6 + 0*v**2 + 7\/16*v**4. Factor h(k).\nAnswer: k**2*(k + 1)**2*(3*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3*k + 3. Let b be h(3). Let i = 47 - 39. What is the first derivative of -1 + i + b*v**2 - 2*v**2 - 2 wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -711639*b**2 - 8*b - 47594 wrt b.\nAnswer: -1423278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 3778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 247? (a) 0.4 (b) 2\/3 (c) -0.1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1049169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2965 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + (-38 - -39).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((105\/(-9))\/(-5) + -3)*-2. Which is the second biggest value? (a) 0 (b) -5 (c) r (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 14 - 12 + 349*g - 354*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 + 5*b**2 + 15 - 14*b - 10*b**2. Let p be o(13). Suppose p*l - 3*m + 5*m - 6 = 0, -2*m + 9 = 3*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331 - -13031?\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10215 (base 7) to base 13\nAnswer: -11b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 9*w - 8. Suppose 29 + 17 = -2*g + 4*z, -5*g - 4*z - 59 = 0. Calculate the remainder when 35*((-36)\/g)\/3 is divided by b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*g - 3*g**3 + 632 + 2*g**3 - 633)*(g - 5*g + 8*g).\nAnswer: -4*g**4 - 136*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from occccocooccoo. Give prob of picking 3 o and 1 c.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5989432.\nAnswer: 2, 107, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v + 130. Let w be s(-5). Calculate the highest common factor of w and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1123 - 81*g - 1123 + 880*g - 26*g to the form r + w*g and give w.\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -187\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3060.51 hours to days.\nAnswer: 127.52125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u - 2. Let n be h(3). What is the highest common divisor of n and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 25135.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -45, -4, 256 in decreasing order.\nAnswer: 256, 4, 1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 47 + 14 = 0. Let g(f) = 3*f + 87. Let y be g(19). Let p = y - n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 5:21 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -0.072.\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 2940*y.\nAnswer: -5*y*(y + 588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u - 11. Let k(y) be the second derivative of 3*y**3\/2 - 17*y**2\/2 - y. Let d(b) = 5*k(b) - 8*m(b). What is the first derivative of d(n) wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2787001488 to the nearest integer?\nAnswer: 52792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**2 - 32*a + 31*a - 2*a**2 + 3*a**2 wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5126 - -0.0306. Let u = -0.008 + g. Round u to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 15*q - 11620. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0*(-5)\/(-15))\/(-1). Let k = -11 + 12. What is the second biggest value in 5, -8, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 968, 3730, 8340, 14798, 23104?\n\"Answer: 924*y**2 - 10*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 14*q**2 + 2*q - 24. Let t be x(14). Suppose 0 = -z - 4*p - 13, -2*p = -5*z + p + t. Sort 0, 5, z, -7 in increasing order.\nAnswer: -7, z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 * -28\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/2)*s*s)\/s)**19)**(-40) assuming s is positive.\nAnswer: s**(-1900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:27 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 4:46 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3834396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/14*(-385)\/660?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-77976)\/(-10) + 20*(-8)\/(-400)?\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392888 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0190614523 to 6 decimal places.\nAnswer: 0.019061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.9 and -15.\nAnswer: 313.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 16. Let o(v) = 4*v + 40. Let i(q) = -2*o(q) - 5*x(q). Let w(p) = -23*p + 4. What is w(i(n))?\nAnswer: -46*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -106? (a) -0.18 (b) -0.068 (c) -0.3 (d) 3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471*g = -482*g + 385. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 5*b + 10. Let y be z(-8). Let c be y\/9 + 24\/108. Is 2\/(-8) + 389\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60556, -121114, -181672, -242230, -302788?\n\"Answer: -60558*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 24 = -7*x - 5*k - 3, -40*k + 37 = 11*x - 36*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -5, 831775 in descending order.\nAnswer: 831775, 90, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16829 and -0.1.\nAnswer: -1682.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 j when four letters picked without replacement from {z: 5, s: 6, y: 3, j: 3}.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58319?\nAnswer: 29, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let h(c) = -7*c - 17. Let s(a) = -20*a - 50. Let r(i) = 17*h(i) - 6*s(i). Let y be r(-7). Solve y*x + 11 = -o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*k - 211, 4*a + 0*k + 4*k + 204 = 0. Let j = 68 + a. What is the greatest common divisor of j and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7279\/4 + 3647\/2. Factor 1\/4*v**4 + 9\/4*v**3 + 0 + 7\/4*v + x*v**2.\nAnswer: v*(v + 1)**2*(v + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 i when three letters picked without replacement from viiyvvvuy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1 - x**2 + 12*x**2 + 2*x**2. Let n be i(1). Let a = -9 + n. Let l(u) = -2*u + 4. What is l(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1799*o**5 - o**3 - 91*o**2 - 1054470*o?\nAnswer: 35980*o**3 - 6*o - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -4*o**4\/3 + 19*o**3\/2 + 34*o**2. Let i(m) = -32*m + 55. Let y(p) = -6*i(p) + 5*v(p). Differentiate y(g) wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d8d8a (base 15) in base 9?\nAnswer: -1258004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353 - 351. What is the nearest to f in 2, 11, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (3 - 4249\/427). Which is the biggest value? (a) -0.3 (b) -2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/10)\/((-144)\/60))\/1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 6*o**2 + 3*o + 7. Let w be p(5). Let k be (-1)\/w*(9 - 0). Suppose -8*y = -k*y. Solve y = 5*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 4)*(j**2 - j**3 - j**2) - 14*j**3 + 15*j**3 + 23*j**3 as b*j**3 + s + y*j**2 + x*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(-14*v - 16*v + 13*v + (-1 - 1 + 0)*(1 - 2*v - 1) - 4*v + 2*v + 4*v) in the form q + f*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -w + 4*n, -4*w - 106 = -5*n - 143 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 9*d**2 + 8*d + 5. Let h be k(7). Let u be 6\/(-8) + (-4075)\/(-100). Let x = u + h. Solve r = -x*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 21*u + 6545. Suppose -4*w + 1175 + u = 0. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 5. Let g be k(-6). Let d(s) = 4*s**3 + 8*s**2 - 6*s. Let m(f) = -f**3 - f**2 + f. What is g*d(q) + 6*m(q)?\nAnswer: -2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*s + 36 = -20, -3*f - 2*s = -28. Calculate the remainder when 647 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 24. Give o(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107b5 + -30a?\nAnswer: -10b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5437334*u. Let t(s) = -55*s**2. What is t(b(o))?\nAnswer: -1626053056515580*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from ttttxtxtttttxtttxt.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t - 145. Let i be m(-7). Suppose -i*u + 4194 = -5518. Calculate the remainder when u is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130.28 - 133.28. Let z = -9\/2 - -6. What is the third smallest value in k, 5, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545614118 to the power of 1\/2, to the nearest integer?\nAnswer: 23358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2245, -2516, -2793, -3076, -3365, -3660, -3961?\n\"Answer: -3*d**2 - 262*d - 1980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*r - r - 7*d + d + 702 - 682, 9*d = -18 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*c**3 - 102*c**2*q**2 - 146*c**2 - 4*c*q**2 - 9*c*q + 2*q**2 + 10830*q + 1 wrt c?\nAnswer: 78*c - 204*q**2 - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -30. Solve p*j = -5*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.006? (a) 1.2 (b) -4\/5 (c) -0.5 (d) 2\/7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 - 60*m**2 + 46*m + 30. Let n be d(-21). Round n to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 753 + 985 + u + u + 3*u in the form l*u + z and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2 + 2)*(5 - 30 - 1).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-744)\/(-5)*540\/162. Calculate the greatest common divisor of d and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**4 - 36*x**3 + 36*x**2 = 0.\nAnswer: 0, 6\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixiiixiiiii. What is prob of picking 2 i and 1 x?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37171 divided by -2460.\nAnswer: 37171\/2460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 4*o**2 - 272*o - 1034. Give h(-4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - 30 - 30 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 5*s + 55, 4*s + 23 = d. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Let o = 27 + -22. Sort -1, s, o.\nAnswer: s, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - 3*i)*(-7 + 10 + 5)*(-3*i + 2*i - i).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.38 + -210.38. Let n = 210.1 + p. Let q = -0.8 + 0.3. Which is the closest to n? (a) 1 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.74 and 5481536.\nAnswer: -4056336.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -28*p - 21. Let k(y) = 7*y + 5. What is 9*k(d) + 2*t(d)?\nAnswer: 7*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/4 - 113*u\/4 + 549\/2 = 0 for u.\nAnswer: -122, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40 + -31767f?\nAnswer: -31763f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -14*f - 15. Let a be (0 + 1)\/(f\/(-35)). Let r(m) = -m + 7. Give r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1945*o**2 - 11841*o wrt o.\nAnswer: -3890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-45)*3950\/4345.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.58 - 0.68. Let d(z) = -2*z**2 - 10*z - 9. Let w be d(-4). Let j be ((-2)\/(-4))\/w*(-12)\/(-54). Which is the second biggest value? (a) k (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -211, -341, -391, -361, -251?\n\"Answer: 40*m**2 - 250*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -50. Let c = h - 0.5. What is c rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 2 + 5\/14*g**2 + 4\/21*g**3 + 1\/28*g**4 + 2\/7*g. Suppose o(b) = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -452, 3, 4, -2, 5.\nAnswer: -452, -2, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474080325.\nAnswer: 3, 5, 6321071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153447632 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16703 is divided by 605?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 13) in base 4?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4*z = 144. Let h = z - 54. Let i = -18 - h. Solve i = -2*s - s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 43. Let t be w(35). Let v(i) be the first derivative of i**3\/3 - 4*i**2 + 3*i + 6. Let p be v(8). Sort t, 4, -1, p in decreasing order.\nAnswer: t, 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 2*z**2 + 2. Let a be m(-2). Let p(b) = -3*b - b - 14 + b + a*b. Let h = 4 - 10. Determine p(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103019831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.41 - -17.59. Let f = i + -34. Let s be (3\/(-9))\/((-2)\/(-3)). Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16937 - 16929) + 107 + -1?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268, 2, 1, 7, -3 in decreasing order.\nAnswer: 7, 2, 1, -3, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/4 - 579*s**4\/4 + 575*s**3\/2 + 1155*s**2\/2 - 1151*s\/4 - 1731\/4 = 0. Calculate s.\nAnswer: -1, 1, 3, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56 and 14848199524825.\nAnswer: 14848199524769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*j + 54. Differentiate 1 + 10*v - j*v - v - 3*v**2 wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 1895\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 3 (b) 0.3 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57295038 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(w\/(w**(-13)\/w))*w*w)\/w**6)**(3\/22))**49)**(-47) assuming w is positive.\nAnswer: w**(117453\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-12)\/(24\/1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 45957.\nAnswer: -45957.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.98 - 0.08. Let y(i) = -4786*i - 4790. Let x be y(-1). Which is the smallest value? (a) t (b) 4\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kem when three letters picked without replacement from {m: 4, e: 2, k: 7}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 3:41 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -362 (base 11) to base 14\nAnswer: -22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 17294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*d + m, -529*d + 531*d - 3*m - 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 92*r**2 - 6*r - 7. Let u be v(-3). Suppose 305 = 4*a - u. What are the prime factors of a?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -13.15. Let b = c + -0.25. Let a = -5.6 - -6. What is the nearest to -0.1 in b, 2, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-5) + 63\/15. Let j(d) = 3*d**2 - 2*d + 6. What is the units digit of j(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 - 3. Let x = -15.9 - -16. Let v = -0.3 - -1.3. Which is the nearest to h? (a) v (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.8 and -0.706?\nAnswer: -2.6828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 351351, 702708, 1054069, 1405434?\n\"Answer: 2*i**2 + 351351*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10999106.\nAnswer: 2, 23, 157, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:19 AM?\nAnswer: 307","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642440929?\nAnswer: 13, 49418533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2538110904.89 and -0.04.\nAnswer: 2538110904.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + 2*y + y)*(-12 + 12 - y) + 4*y**2 - 2*y**2 - 3*y**2)*(-23 - 23 + 43 + 8*y).\nAnswer: -24*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64 and -4590.8.\nAnswer: -293811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5862 = 2*y + 4*u, -17*u + 15*u + 8821 = 3*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 9, 0 = y - 0*y + 4*h + 2. Suppose 110 = 5*z - 5*s, 0 = 5*z - 8*z - s + 54. Calculate the remainder when z is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/1217890 or 1?\nAnswer: -7\/1217890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 4*q + 8*q + 13066*q**2.\nAnswer: 13066*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119848953 * -0.2.\nAnswer: -23969790.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4144511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1768, 45, 8, -2\/3, 6?\nAnswer: -1768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 2, o: 1, u: 1, a: 3, r: 4}. Give prob of sequence rx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/132)\/(11252\/(-6984)).\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 + 43669 - 43669.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**6\/255 - 8*z**5\/85 + 5*z**4\/34 - 88*z. Find r, given that x(r) = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/12 - 2*p**3\/3 - 3*p**2\/2 - 10*p. Calculate s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2610 and 839376?\nAnswer: 4196880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 6:50 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 29462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 29*m + 1027856 = -1915284. What are the prime factors of m?\nAnswer: 2, 5, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 17811.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3 + 3)*(2 - 1 - 3) + 2 + b - 2 + (2*b + 9*b - 5*b)*(3 - 1 - 4).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28631969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktdddkdkd. What is prob of picking 1 t and 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.200167 - -17.\nAnswer: 22.200167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 293585 at least as big as 293487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 2*n - 2. Let s be u(2). Let k be 3*s*(-3 + (-108)\/(-28)). Are k and -34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156 + 298. Suppose -118 = -5*u + p. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11136984 and -5111?\nAnswer: 11142095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 18*j - 20*j + 12, -18 = -4*j - 2*r. Solve -32*y = -36*y - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.32 and -0.3.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 560046 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4932163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 17*(-154)\/238\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7973179619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31196316 - -0.1667.\nAnswer: -31196315.8333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -12 - 8. Put -4, b, -2 in decreasing order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**4 + 423*k**3 + 2859*k**2 + 6057*k + 3602. Let u(f) = -f**4 - 141*f**3 - 953*f**2 - 2019*f - 1200. Let a(i) = -3*r(i) - 8*u(i). Factor a(h).\nAnswer: -(h + 1)*(h + 3)**2*(h + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 11, 41, 93, 173?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 1735000*p + 150511250000.\nAnswer: 5*(p - 173500)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - t + 5*t - 77, -70 = -4*m + t. Suppose 4*c - 135 = -c. Differentiate c - 41 + m - 6*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19504, 39077, 58664, 78265?\nAnswer: 97880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*l + 40. Which is bigger: l or -2\/71?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 8*o**3 + 0 + (o - 4 + 4)*(5*o**2 - 2*o**2 - 4*o**2 + (o**2 - 4*o**2 + 2*o**2)*(-2 + 4 + 0) + 22*o - 22*o + 6*o**2).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-12)\/2)\/(-6)) + 7*(-627)\/4543.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 286 = -3*l, 5*j + 470 = -l - 4*l. Let o be 688\/(-15) - 3\/l*-4. Let t = o + 56. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2671*s = -5824*s + 441740 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-7))\/(-10)*(-2100)\/30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.3 + 43.3. What is the nearest to -0.1 in h, -0.1, 1\/28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991626069?\nAnswer: 3, 7, 47, 1004687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 386, 351, 282, 167, -6?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 42, 168, 428, 870, 1542, 2492?\nAnswer: 3768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/273 and 35\/12.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/6)\/(-9)*4. Suppose -2*o - 78 = -w*s + o, 62 = 2*s + o. Is 33 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18610)\/(-42) + 1 + (6 - (-256)\/(-42)). Suppose 2*q + 34 = -5*y + 150, q - 46 = -2*y. What is the highest common factor of y and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119476 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55d (base 15) to base 4.\nAnswer: 102331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 5, x: 2}. Give prob of sequence aa.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896189785.\nAnswer: 5, 397, 451481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -550163, -1100310, -1650463, -2200622, -2750787, -3300958, -3851135?\nAnswer: -4401318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*v - 1239*v - 26846 = 0 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 0*k - 4*k)*(-5 - 4 + 2 - 1 - 2 + 1 + (3 - 3 - 1)*(3 - 1 - 4)) + (-2 - 1 + 5)*(-k - k + 3*k + (-k - 2*k + 2*k)*(2 + 3 - 2)) + 5*k + 3*k + 7*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by -53*(-1)\/4 + 1\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1138777\/276 - -4126. Let u = -187\/828 - f. What is the closest to -0.1 in u, 0.4, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3351*u + 2 - 9 + 2 + 16.\nAnswer: -3351*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -311970.\nAnswer: -311970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 6303237 + 6303237.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -9 + 13. Let k(z) be the first derivative of -64\/3*z**3 + 0*z + 2 - m*z**2 - 77\/2*z**4 - 98\/5*z**5. Find g such that k(g) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/41 or 0?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.082 + 0.082. Let j = 6 - 6.5. What is the nearest to 2\/5 in t, j, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m**(-1\/2)*(m*m*m\/m**(1\/4)*m)**12)**(-5\/3) assuming m is positive.\nAnswer: m**(-445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggpybbgygggpp. What is prob of picking 1 b, 1 g, and 2 y?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 4*q**2 - 6*q + 2. Let z(k) = 2*k**3 - 3*k**2 + 6*k - 2. Let f be ((-9)\/12)\/(2\/8). Let b(n) = f*v(n) - 2*z(n). What is m in b(m) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*l + 51 = 0, -2*b + 187 = 2*b + 5*l. Suppose 34*x = 30*x + b. Calculate the least common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*t**3 - 90*t**3 + 56*t**3.\nAnswer: 37*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1454 != -66\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 191.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:13 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - -32. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(500) + 3 + (sqrt(500) - ((sqrt(500) - sqrt(500)*-2) + 1)))*-5)**2 + (-1*sqrt(320))\/(-2*sqrt(8)\/sqrt(2)).\nAnswer: -1498*sqrt(5) + 12725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Suppose f*j - 234 = 50. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1\/((-1)\/6*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3155158*l*u**3 + 7619*l*u + l - 4*u wrt u?\nAnswer: -18930948*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 596\/9 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 42*m - i + 5 = 0, -1 = -m - i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2556.903657 and -9942?\nAnswer: 7385.096343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - a = 31*o - 101, 4*o - 3*a = 96. What is the greatest common divisor of o and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11948 = 2*v + t - 1466, -26848 = -4*v + 3*t. What are the prime factors of v?\nAnswer: 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Let x(o) = 2 - 12*o**y + 7*o + o**3 + o**2 - 4*o. Let k be x(-2). What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/16 and (412\/6)\/(0 - 8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-157 - -145) + (2 - -1 - (-4 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 10*r - 223. Calculate the remainder when 8\/(2\/155*5) is divided by r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41887 - 22236. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83077 * -5\nAnswer: 415385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718285326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 41641.\nAnswer: -37\/41641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 128 = -4*u, 8 = 7*j - 9*j. Solve 2*a = 3*c + 15, 26*c = 5*a + 21*c - u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547, 538, 525, 508?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-12) + 3\/4. Suppose -6*b + 1014 = -a*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 55412, -1\/3, -0.4, 20, -0.04?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2. Let c(h) = 17*h**2 - 4*h - 4. Let i(y) = -18*y**2 + 5*y + 5. Let j(a) = -5*c(a) - 4*i(a). What is n(j(t))?\nAnswer: 507*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -120?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0 (b) -0.1 (c) 1\/8 (d) 11 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91282 - 91281.9924229. What is q rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 + 1635446*m\/13 + 37616316\/13.\nAnswer: -2*(m - 817746)*(m + 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 1, c: 6, g: 1, d: 2, m: 2}. What is prob of sequence ncd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 16*p**3\/3 - 7. Let f(g) = -g - 5. Let c(r) = 2. Let q(y) = 5*c(y) + 2*f(y). Calculate q(o(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 38. Let p(t) = -m*t**2 + 14*t - 3 - 18*t - t**2. What is p(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**13*r*r*r)\/r)**3\/((r\/(r\/(r\/(r*r**(-19)\/r)*r)))\/(r**(-16)\/r*r*r)) assuming r is positive.\nAnswer: r**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26103 and 4653453?\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53084358.\nAnswer: 2, 3, 173, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 38, 114, 234, 404, 630?\n\"Answer: b**3 + 13*b**2 - 8*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqh when three letters picked without replacement from {q: 6, h: 1, s: 4, m: 4, j: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.5 + -1.5. Let t = r - 83.5. Let c = t - -15.500083. Round c to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x**2 - 365*x + 86. Let j(f) = 2*f**3 - 4*f**2 + 3*f. Calculate the remainder when j(3) is divided by c(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*u - 6 - 0, -8*p - 12*u - 8 = -14*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - -13a8?\nAnswer: 13c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 7*g**4\/6 - g**3\/2 + 2*g**2 - 9*g + 58. Let x(z) = -41*z**2 + 9*z - 11. What is 17*t(l) + 6*x(l)?\nAnswer: -8*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (51\/(-7) - -7 - 188\/(-70)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 21*x**2 - 52*x - 20. Let i be h(17). Calculate the highest common divisor of i and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/15 - 20482*a**4\/15 + 745576*a**3\/5 + 13911776*a**2\/15 + 28151104*a\/15 + 6292192\/5 = 0.\nAnswer: -10349, -2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 585 + 561 = 0. Let q = -0.1 + 4.1. Which is the second biggest value? (a) m (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-2) + -3 + 5. Suppose -5*z + 195 = u. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2122, -2112, -2112, -2128, -2166?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 2. Let q be m(3). Let z = -665.9 - -666. Let s = -46 - -43. What is the third smallest value in s, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.868 + 0.132. What is the closest to 0.1 in 7\/4, -0.01, x?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3\/6 - z**2 + 20*z. Determine f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 549 and 4502959?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 35615898.06?\nAnswer: 35615894.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-116)\/87*((-81531)\/(-12))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 - 1 + 56*z + 6*z**4 - 5*z + 26*z + 3*z as m*z**4 + o + a*z + s*z**3 + f*z**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 - 2 - (3 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**3 + l**2 - 4*l - 4. Let w(b) = -15*b**3 - 2*b**2 + 9*b + 9. What is -9*v(i) - 4*w(i)?\nAnswer: -3*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 116\/8*-1*4. What is the tens digit of (-1 - c\/2) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 804 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1168747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19146 smaller than 19214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:01 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28529 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m - 3*x = 0, 0 = 5*x - 20. Is ((-2)\/m)\/(-7*12\/(-515466)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 10238\nAnswer: 17\/5119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c + 3. Let x = -10 - -9. What are the prime factors of a(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -1.9\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -922, -1801, -2754, -3781?\nAnswer: -4882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381 = 147*t - 205 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -686 (base 10) to base 6.\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 15*k - 30. What is q(14)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((12*i**2 + 4*i**2 + 2*i**2)*(0*i + i + i) + i**3 + 2*i**2 - 2*i**2)*(-2 - 2*i + 2).\nAnswer: -74*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let r(k) be the first derivative of -14*k**3\/3 + 4. Give o(r(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 61*k**2 + 5*k - 5. Let v(r) = -91*r**2 - 7*r + 7. Calculate -7*t(u) - 5*v(u).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7728\/160*1640\/1148.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -18*w + 1. Suppose -369*p = -1450 + 343. Let u(r) = -19*r + 1. What is p*u(s) - 4*a(s)?\nAnswer: 15*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((64\/12)\/(-1))\/((-4)\/12). What is the highest common factor of 3152 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -28. Suppose 0 = 5*r - 1 - 59. Calculate the remainder when d is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3567818?\nAnswer: 2, 431, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 97*l**2 - 4*l. Let o(w) = 51*w**3 - 969*w**2 - 42*w. Let a(s) = 21*g(s) - 2*o(s). Solve a(n) = 0.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 13*v**2 + 10. Let h be w(-10). Is ((-1)\/2)\/(1\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -356244, -356247, -356258, -356283, -356328, -356399, -356502, -356643?\n\"Answer: -z**3 + 2*z**2 - 2*z - 356243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*((0 + 0 - v)*(1 - 2 + 0) + 0*v - 5*v + v + (-3 - 2 + 4)*(65 - 10*v - 65) - 6*v + v + 4*v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.051 and -449.\nAnswer: -22.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186 - 190. Which is the second smallest value? (a) d (b) -3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 5*v**2 + 6*v**2)*(-40 + 40 - 5*v).\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5318, 10655, 15984, 21299, 26594, 31863?\nAnswer: 37100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9*t**2 + 8*t**2 + 1)*(t**2 + 0 + 0).\nAnswer: -t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/43008 and 47\/1536.\nAnswer: 43008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 960\/810*225\/2400\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4909*l**3 - 2*l - l + 3*l + 4922*l**3.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = 3*c, -5*r - 4*c + 34 = 0. What is the least common multiple of r and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9046294 and -9046297 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*n - 129*n - 12*n**3 + n**2 - 1 in the form d*n + c*n**3 + f*n**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1199\/(-2398)*6\/((4\/(-15))\/(-4))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8579, 8578, 8587, 8612, 8659, 8734, 8843?\nAnswer: 8992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 2*a**2 + 35*a + 96. Let q be m(-7). Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*4\/(-4) - -4. Suppose y*c - 118 = -5*x, -3*x - 2*c = 25 - 95. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v - 2. Let d(q) = q + 79*q**2 - q - 77*q**2. Give d(b(i)).\nAnswer: 98*i**2 - 56*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o + 35. Let d(b) = -13*b - 52. Let j(y) = y**3 - 90*y**2 + 343*y + 79. Let x be j(86). Calculate x*n(p) - 5*d(p).\nAnswer: 2*p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -19662*z. Let y(o) = -4*o**2. Calculate k(y(w)).\nAnswer: 78648*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92607310 rounded to the nearest one hundred thousand?\nAnswer: 92600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.7, 0.4, -0.037955, 5, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 17*n**2\/2 + 9*n + 12. Differentiate p(b) wrt b.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 713 + -2846?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0342018 * 673\nAnswer: 23.0178114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (31 - 61) + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -38. Let n = 12 - j. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139589766 to the power of 1\/2, to the nearest integer?\nAnswer: 11815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2235164, -4470327, -6705490, -8940653, -11175816?\nAnswer: -13410979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 + -158. Calculate the greatest common factor of 105 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 1. Let i be q(0). Put i, 5, 0 in decreasing order.\nAnswer: 5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04656912104 rounded to five decimal places?\nAnswer: -0.04657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/21 + (57\/(-21) - -3). Suppose 0 = -n - 3*w + 2 + 3, -2*n - 2*w - y = 0. Put 5, -1, n, 2 in descending order.\nAnswer: 5, 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, l: 2, z: 1, p: 1, d: 1}. What is prob of picking 4 n?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3339.\nAnswer: 5\/3339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 6640?\nAnswer: 6633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmcsmf. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(0*h**3 - 13*h**3 + 9*h**3) in the form u*h**2 + t*h**3 + d*h + z and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - (35 - 229942\/2346)?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 100 + 136 = -4*x, -z + 4 = 0. Which is greater: x or -65?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 6. Let i = 2699 - 21651\/8. What is the common denominator of i and y\/((-2)\/(-2) + (-3321)\/2781)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 = l + 2, -i = 4*l - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.14 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.202162 nanograms in micrograms?\nAnswer: 0.000202162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 10) to base 12\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d. Let t(b) = -29*b**2 + 25*b - 6. Let l(m) = -79 + 15*m**2 + 82 + 36*m - 46*m. Let z(q) = 5*l(q) + 2*t(q). Give g(z(k)).\nAnswer: -34*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-21))\/3 + 36\/21. Let n(v) = -v**3 - 4*v**2 + 5*v - 1. Let t be n(-4). Let f = y - t. Solve -4*w - 1 = -k - 10, 5*k + 2*w = -f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from yupyuuyuyu.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -1\/12*o**4 + 0 - 5*o + 1\/6*o**3 + 67\/2*o**2. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19203*v**2 + 20951 wrt v.\nAnswer: -38406*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210552799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2061, 13856, 40381, 77514, 125255?\nAnswer: 183604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 - 19*k**2 - 8*k + 1. Calculate h(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58859324 is divided by 899.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpppspfsfpppppspf. What is prob of sequence ppps?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 - 31 = 0. What is the greatest common factor of l and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136)\/(sqrt(12)\/sqrt(3)))\/(1*sqrt(18)) - ((5 + -1 + sqrt(1700))*-5)**2) + 3)*-4.\nAnswer: 23996*sqrt(17)\/3 + 171588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/179 + 3381\/358. Let r(y) be the first derivative of 0*y**3 + 19 + 0*y**4 - 3*y**5 - n*y**2 + 0*y. What is the second derivative of r(p) wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0*u**2 - 2*u + 0*u**3 - 1\/12*u**4 + 0. Let z(s) = 2*s. Determine z(a(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let r(q) be the third derivative of q**3\/6 + 144*q**2. Let l(n) = -193*n - 6. Let m(c) = l(c) + 6*r(c). What is m(b(d))?\nAnswer: -386*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -36. Let d be (-459)\/(-36) + (-3)\/y. Which is the closest to 1\/3? (a) d (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h - 15 = 0. Suppose h + 0 = -l. Suppose 3*i - 15 = -5*m, 4*i = 25*m - 26*m + 3. What is the second smallest value in 0.3, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p - 4*w, -7*p + w - 20 = -2*p. Let s(h) = -9*h + 17. Let y be s(-7). Let u(n) = -81*n**2 + 5 + y*n**2 - 3*n + n. Calculate u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18\/13, 36, 1 in descending order.\nAnswer: 36, 1, -18\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -745173617 bigger than -745173616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 639645497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**4 + 6*v**3*y**2 - 31*v**3*y - 5*v*y**2 - 2*v + 8*y**2 - 7 wrt v.\nAnswer: -84*v**2 + 36*v*y**2 - 186*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (4\/3)\/(36\/81). Let b be -2 - -14*2\/4. Suppose -b*v - v + 60 = m. Solve 4*s + v = -l, s - 4*l = 2 + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-92)\/(-144)) + (-61)\/244.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(35\/40 + -5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8)*32\/12. Suppose 0*o + 8 = n*o. Suppose 4*a = 3*f - 50, -4*a - 34 = -f - o. Calculate the remainder when 18 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 8. Suppose -7 = 4*v - r. What is the common denominator of -1 + 1 + 78\/v and 87\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = 3*t + 5*n, 2*n - 2 = t. Let j(x) = 31*x**3 - 3*x**2 + 3*x - 3. What is the tens digit of j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.9 - -1.1. Let d = 14.2 - x. What is the closest to 0.2 in d, 3, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 6*n**2 - 8*n - 10. Calculate o(8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 = 2*f - 18, -3*f - 7 = -4*i. What is the third derivative of -8*h**3 - 6*h**f - 2*h**2 + 3*h**2 wrt h?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42801773 is divided by 503.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -95 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133478, -266780, -399906, -532856, -665630, -798228?\nAnswer: -930650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2568 - -2565. Put o, -5, -30, 4 in decreasing order.\nAnswer: 4, o, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -0.5 (c) 69 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -281522353.68595?\nAnswer: 281522353.68595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -611 + -59?\nAnswer: -66a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*b - 148142 = -14645. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -13 - ((-6 - -6) + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42596985 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let h(v) be the second derivative of 0 + 1\/4*v**4 - 5*v + 0*v**2 + 0*v**3. What is h(i(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 196. Suppose x - 4 = -4*f, -x + 4*f + 2 = -18. What is the remainder when s is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -1\/3, -1\/2, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2173 + -2088. Solve -14*o + c = 29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b0 (base 14) in base 4?\nAnswer: 11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-15) - 13*2\/(-3). Suppose -2*q + 17 + j = 0. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14541954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c + 16 - 16. Let g be 1*(1 - (0 + -2)). Let b(y) = -g*y**2 + 5*y**2 - 4*y**2. Give r(b(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and (-101)\/(-11) - 2\/11.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - 34. Suppose -32 = 2*k - w. Suppose -b = -3*d - 42, -b - 35 = 5*d + k. Calculate the common denominator of d and -39\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o - 14. What is the highest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 157, 330, 601, 1018, 1629, 2482?\n\"Answer: 8*p**3 + p**2 + 114*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i - i)*(45 - 18 + 29).\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/5)\/(6\/60). Suppose -m - 3*f = -20, 0*f - 8 = -4*f. What is the highest common divisor of n and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**2\/9 + 37*i\/9 + 10\/9.\nAnswer: (i + 5)*(7*i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 2*k**5\/15 + k**4\/12 + k**3\/2 - k**2 - 30. Determine o(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - 47\nAnswer: -47.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.971834 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooonoooopooooo. What is prob of picking 2 p and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 1, -4, -5, -92 in decreasing order.\nAnswer: 30, 1, -4, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/126*(-15)\/(-4).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -67, -102, -137, -172?\n\"Answer: -35*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 33*w = 4. Suppose 2 = -2*h, -w*a - a + h + 28 = 0. What is the remainder when 43 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/12*6\/63*7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + v)*(-v**2 + 3*v**2 - 3*v**2) + 97*v**3 + 158*v - 108*v**3 + 2 - 6*v**2 - 149*v.\nAnswer: -9*v**3 - 6*v**2 + 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1469\/238370 + -2\/985. Let n = 43\/242 + h. Put -1, -3\/8, n, -0.5 in descending order.\nAnswer: n, -3\/8, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 + 490 + 6*p**3 + 3*p**3 - 247.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -41\/2. Suppose n + 5 - 5 = 0. Let h be (-2)\/(-8)*4\/5. Which is the nearest to n? (a) h (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/8)*t*t**(-4\/11))\/(t**(9\/4))**40 assuming t is positive.\nAnswer: t**(-7919\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-105)*84\/(-90)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 67*r = 70*r + 24, 4*k = -2*r - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048294 rounded to 5 decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 26. Calculate p(-16).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*t**3 + 1 + 14*t**3 + t**4 + (-2 + 2 + t**3)*(-5 + 5 + t) - t**4 + t**4 + t**4.\nAnswer: 3*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*y - 5607, -9*y + 5613 = -6*y + 3*t. What are the prime factors of y?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 11, p: 5}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 2*k**3 - 2*k**3 + (2*k + 1 - 1)*(k**2 - 5*k**2 + 2*k**2) + 17*k**3 + 6*k**3 - 6*k**3 in the form v*k**3 + b*k + f*k**2 + d and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from accccccacccccccccc.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1570*c**2 - 33859 + 67700 - 33841.\nAnswer: -1570*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -248.7, 1\/3, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -243*p**4\/2 - 37836*p**3 - 30795*p**2\/2 - 933*p = 0.\nAnswer: -311, -1\/3, -2\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22652, -45229, -67734, -90167?\n\"Answer: 36*y**2 - 22685*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 518308.\nAnswer: 2591540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-101)\/36 + 4)*(-4)\/6 and 7\/129.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-36)\/8 - -4). Suppose 0 = 2*w - j*w - 6. Suppose -u - 60 = -w*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.015 + 0.054. Let n = 0.0390161 - o. Round n to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*z - 38, 7*z - 2*i = 4*z - 31. Suppose 5*g + 13 = -22. Is z at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, -47221, 3.\nAnswer: -47221, -2, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/2, -37, -1\/6?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/(((-9)\/(-18))\/(112\/(-48)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409746319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v**3 - 6*v**2 - 366*v + 384. Give x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 2800?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268802 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185742 - 691. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 4*f**3 - 6*f**3 + (-3*f + 0 + 0)*(2*f**2 + 2 - 2) + 0 + 3*f**3 + 0 + f.\nAnswer: -5*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 59?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57600239 - -106010239. What is d rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -29*x - 7*x + 2*x**2 - 6*x**2 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = 0, 3*t + 2 = 6*x - 4*x. Suppose 0 = -10*h + t*h + 48. Let q be 6\/(-9)*h + 27. Calculate the highest common factor of q and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2468*x - 4*s = 2465*x - 8, -2*x = 4*s - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-773*j + 2 - 3*j**3 + 6 + 771*j)*(-j + 0*j - j) to i*j + g + y*j**2 + m*j**3 + c*j**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**2 - 4*q**2 + 3*q**2 + (2 - q - 2)*(q - 4*q + 4*q) - 2 + 3*q**2 + 2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 63. Let m = o - 35.8. Let b = -38 + 31. What is the biggest value in m, -2, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20118139*n**5 - 151*n + 18811 wrt n.\nAnswer: 402362780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 10241*r\/3.\nAnswer: r*(r - 20482)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 10) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/198 + (-3125)\/165. Is v at least as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 - 42*t**3 - 561*t**2 - 1344*t - 828 = 0. What is t?\nAnswer: -6, -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 40*a**4 + 4*a**3 + 17*a**2 - 4. Let i(q) = 41*q**4 + 5*q**3 + 16*q**2 - 5. Let b(m) = -5*f(m) + 4*i(m). What is the third derivative of b(t) wrt t?\nAnswer: -864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1284 by 1284.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t + 6. Let i be o(0). Let 2 - i*j**2 + 1 - 21*j**3 + 4 + 21*j - 1 = 0. What is j?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - b = -1 + 2, -b + 6 = -3*y. Let j be 2\/(-3)*(y - 8). What is the third derivative of q**2 - 4*q**j + 3*q**6 - 3*q**6 + 3*q**6 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -36*s**2. Let x(r) = -19*r. What is w(x(u))?\nAnswer: -12996*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g - 3. Let z = 7 + -10. Let h be u(z). Find the second derivative of h*r**5 - 4*r**2 + 3*r - 2*r + 4*r**2 wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, -4 in descending order.\nAnswer: 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 13 = l, -o + 8 = 2*l - 3. Let v = o - 0. Solve -s = -v*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/24 - 7*d**5\/12 - 55*d**4\/24 - 25*d**3\/6 + 18*d**2. Solve f(i) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.0012 - 12. Round p to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 1306.606\nAnswer: 26.13212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -35*y + 93 - 49 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 - 4*w - 6. Give m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 282235.102 and 1947.\nAnswer: 284182.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/12 + (2 - 44\/16)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 35 = 5*y + 25*x, -2*x = 3*y + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13528 - -6.\nAnswer: -13522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10359*r = -9404*r - 8595 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o**2 + 13. Let u(y) = -13*y - 33. Let a be u(-6). Let c = -49 + 94. Let z = a - c. What is w(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7885448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5395 divide 1627124220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzeette. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, n: 2, x: 1}. Give prob of picking 1 g, 1 e, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18321186 divided by 6.\nAnswer: 3053531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 22 - 12 = 0. Calculate the highest common divisor of 85 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 7) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000458915 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4756.383 grams to tonnes.\nAnswer: 0.004756383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 392*m**4\/5 - 168728*m**3\/5 + 72258*m**2\/5 - 1548*m.\nAnswer: 2*m*(m - 430)*(14*m - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/54 + -5 + -2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9029 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (7\/2)\/((-2)\/(-4)). Let m be (-28)\/((-8)\/2) + z. Solve 0 = -0*l - m*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404878393.\nAnswer: 404878393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -2599*j**3\/6 - 391*j**2\/2 - 11*j + 87. Let x(h) = 40*h + 6. Calculate 6*m(i) + 391*x(i).\nAnswer: 46*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43\/39 - -10\/13. Let d(b) = -6*b + 9. Let m be d(2). What is the fourth smallest value in 2, m, -72, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146455.1075 to the nearest 10.\nAnswer: 146460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 107859142.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 989*v + 11088*v**3 + 0 + 0 - 1118*v - 11087*v**3.\nAnswer: v**3 - 129*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from qqyuuueluqvueluuu.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 22*g + 22*g - 13*g. Let r(b) = 1056 - 1056 + 4*b. Give r(c(x)).\nAnswer: 124*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 1\/28*t**4 - 6\/7*t**2 + 0 - 7*t - 3\/14*t**3. Factor x(a).\nAnswer: 3*(a - 4)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.614752 nanometers to millimeters.\nAnswer: 0.000006614752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124567.92 months to centuries.\nAnswer: 103.8066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*v = -139, -82 = 6*z - 5*z + 5*v. Let y = 76 + z. What is the remainder when y is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10.1 (b) -15\/4 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 5*i**2 + 8*i - 15. Let w be a(-7). Let p = w - -248. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080 = -4*k + 5*t + 1131, 3*k + 3*t = -36 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/2*228\/(-228)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*w + 66 + 18, -5*t = -w - 453. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367233.6983 - -644?\nAnswer: -366589.6983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27*(-28)\/(-630)*360. What is the greatest common factor of j and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 4. Let r be n(-2). Let x(b) = b - 2*b + r*b. Let q(a) = -a**2. Calculate x(q(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -1.80962\nAnswer: -0.542886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4116471 (base 8) to base 14.\nAnswer: 204b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose -2 = -n + 1. What is the lowest common multiple of h and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 480.3 + -481. Let i = -11 - -10.6. Which is the closest to -1\/4? (a) -2\/13 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -37. Put -5, 5, o, 24 in ascending order.\nAnswer: -5, o, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -115 - 125. Let p be (-1)\/(1*(-4)\/i). Let h = p - 17. Solve -h*r + 9 = 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -508768700 rounded to the nearest 1000000?\nAnswer: -509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1955436, 3910969, 5866602, 7822335, 9778168?\nAnswer: 11734101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 235 - 210 - (1 + (-1 - (4 + 4)))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/21505 and 38\/159137.\nAnswer: 795685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 226, 352, 486, 628, 778, 936?\n\"Answer: 4*r**2 + 114*r + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let o be ((-63)\/(-45))\/((-24)\/(-30) - 1) - -4. Let z = 3 + -5. Sort o, d, z in descending order.\nAnswer: d, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7 + 37\/5). Let u(v) = -2*v + 6*v - 6 - v**2 - v**3 - 3*v**2. Give u(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 + -106. What is the greatest common factor of s and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 947 - 945. Let v(u) = -5*u**3 + 2*u**2 - 3*u. Give v(m).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-6 - -16 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22196 - -9696. Round m to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10915 divided by -31709.\nAnswer: -295\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*t - 12804 = -218*t + 375*t for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (5\/(-4) + (0 - 33\/44))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.034 - -0.066. Let w be 52\/(-8) + (-3)\/(-2). What is the nearest to v in 0.23, -2, w?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 517, 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*k**4 - 53*k**4 - 3*k**2 - 2 - 217*k**4 + 2*k + 727*k**4 + k**3 in the form g + b*k**2 + u*k + n*k**3 + w*k**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + h**2 + 3*h)*(3*h - h**2 - 3*h) - 3*h**4 - 4 + 4 + (-22*h**3 - 7*h**4 + 22*h**3)*(30 - 14 + 17) as q*h**3 + k + i*h + n*h**2 + c*h**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwvew?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 + (-4)\/(-8)*4. Let n be 4\/x*-3*-2*2. What is the second derivative of n*z**4 - 5*z**4 + 17*z - 16*z**4 + 4*z wrt z?\nAnswer: -228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28698, 57363, 86014, 114645, 143250, 171823, 200358?\n\"Answer: -p**3 - p**2 + 28675*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 - -2. Let x = -2.1 + 2.4. Let f = 9160 - 9158. What is the third smallest value in x, f, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -276107 + -0.562024.\nAnswer: -276107.562024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 389687648 and 1568.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 347181954 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18\/13 - -188\/117. Let b = 26296\/813 + -3\/271. Let n = -32 + b. What is the second smallest value in 4\/7, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 53, -5.\nAnswer: -5, 53, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 16*g + 71. Suppose 3*j - j = -l - 4, 0 = 4*j - 12. What is the remainder when ((-24)\/l)\/(6\/100) is divided by k(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 - -1992?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 52*b + 3. Is j(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/32)*(-160)\/((-11680)\/73).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644 and 24748.\nAnswer: 173236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.713082*-1\nAnswer: 0.713082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -292, 3, -112, 0.3.\nAnswer: -292, -112, -1\/5, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*g - 4)*(1 - 2 + 0) - 24*g - 16*g + 15*g + 6*g - 3*g - 2*g + (1 - 2 - 1)*(-g - 1 + 1) to the form p + m*g and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 - 244*i**4\/3 - 4879*i**3 + 10086*i**2.\nAnswer: -i**2*(i - 2)*(i + 123)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1034 and -79\/94?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (sqrt(275) + 0)*4 + 2 + 0))**2.\nAnswer: 2000*sqrt(11) + 110100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -1)*-2 + -5*sqrt(637)*2)**2 - (sqrt(637) - (4*((sqrt(637) - sqrt(637)*-1) + sqrt(637)) + sqrt(637)) - sqrt(637)*-1*-1)**2.\nAnswer: -15921 - 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 (base 15) in base 14?\nAnswer: -38d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 3 (c) -992\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(126) - sqrt(126))\/sqrt(2) - sqrt(63)) + sqrt(63))\/(3*(sqrt(9) - sqrt(324))).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = j + 21, -5*j + 3 = 3*y - 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 174, -23.\nAnswer: -23, -1, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4\/7 - 150044*b**3\/7 = 0. Calculate b.\nAnswer: -37511, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -6652, 2181?\nAnswer: 2181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*g + 7*g. Solve -4*n + g*n + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + 3*x = 1, 4*r - x - 51 = 0. Let k = 14 - r. Suppose 4*s - 4*o - 44 = k, -2 = 3*s + 3*o - 5. Calculate the remainder when 15 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282850.\nAnswer: 2, 5, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 44 - ((35 - 61) + 45)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -1\/3, -2, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 595?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 301\/12 + -99\/4. Let v = -1.4 - -1. Which is the closest to v? (a) q (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Suppose -c - 2*b = -8, 0 = -4*b + 2 + 10. Let r(h) = h**3 - 2*h**2 + 3*h - 1. Let p be r(c). Solve -p*f - 5 = -d*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/4 + 273*s + 545 = 0.\nAnswer: -1090, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -17 + (1 - (1 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 91163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.03285604.\nAnswer: 0.09856812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**3 + 2 + 0 - 2*k**4 + 39*k**2 - 18*k**2 - 14*k**2 - 12*k**2 to i*k**3 + p*k**4 + x + n*k**2 + w*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 + -3)\/(5*(-2)\/12). Solve -7 = -v*b + 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 + -3.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, f: 2, l: 3}. Give prob of sequence lff.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.18 - -20. Let c = -0.12 + i. What is the biggest value in c, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 397842*r + 9946046. Determine z(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5721105440 - -7.\nAnswer: -5721105433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/(d*(d**(-8)\/d)\/d*d))\/(d\/d**(1\/2)*d)**(2\/21)*(((((((d\/(d\/d**(-2\/15)))\/d*d)\/d)\/d*d*d)\/d)\/d*d*d*d)\/(d**(-5)\/d))**(-11\/6) assuming d is positive.\nAnswer: d**(2059\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z. Let a be d(5). Let c = a - -32. Suppose 3*q + 2*k = c, -5*q - 6*k + k = -35. Solve 5*v = -5*h, q*h = 6*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75075 and 0.4.\nAnswer: 30030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -294*w - 768*w + w**2 - 241*w + 309*w to c + f*w**2 + y*w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**2\/2 + 1. Let m(g) = g + 2*g - 11*g**2 - 3*g. What is n(m(r))?\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 13*a**2 - a - 8. Calculate l(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*q - 130 = -0*q, -20 = 4*q. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30415)\/(-110))\/(-79))\/(18\/60)?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*w + 7, -s = -5*s - 2*w - 2. Suppose 3*y - 8 + s = 0. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/28 + 5 - -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 32, 42, 54, 68, 84?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(9\/(-228)). Suppose -a = s - 5, -5*a = -4*s - 7*a + 22. Suppose s*x - 52 - q = 0. Solve -2*w + x = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 14. Let x be p(-6). Let o = 12 + -9. Solve -x*f = -5*d - 12, 0 = -o*d + 5*f - 2*f - 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a = -17*a. Calculate the least common multiple of 49 + a + -43 + 36 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.75 - -72.25. Are x and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*l - 2*g - 122, 23604*l + 234 = 23603*l - 5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4605 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67891482.\nAnswer: 2, 3, 3771749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6436*u - 953532 = -2312*u for u.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3 - 1 + 4*z)*(-4 + 4 - 5)*(0*z - 2*z + 4*z)*(25 - 47 + 30) to i*z + h*z**2 + d and give i.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:09 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 12 + 7)*(6 - 5*h - 6) + (-3 - 1 + 3)*(-4 - 2*h + 4).\nAnswer: -158*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 489 + -455. Let j be 0 + (83 - 0) + 2. What is the highest common divisor of j and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.119 to the nearest integer.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 96. Let l be (j\/27)\/(4\/6). What is the second smallest value in -1\/5, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 89577 and 89577 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*v, 3*m - 4*v = v. Suppose -a + 3*a = m. Suppose 7*f - 12 = 3*f. Solve 0 = -a*t - f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157105 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 180?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:51 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6.46114+0.796\nAnswer: -5.66514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Is 18 a factor of -2 - i\/(2\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2827 - 0.02053\nAnswer: 2826.97947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.983559 weeks in milliseconds?\nAnswer: 594856483.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 262, 270, 278, 286, 294?\n\"Answer: 8*f + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5644 is divided by 2559.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.69 and -1650.\nAnswer: 32488.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 316*x\/3 + 12482.\nAnswer: 2*(x - 237)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/69 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3528.06ug in grams?\nAnswer: 0.00352806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.4*-2480.\nAnswer: 152272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -25.88 < -3250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 6*o**2)*(-1 + 0 - o + 4*o).\nAnswer: 6*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*u - 27*u + 584 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(2 - 2). Let i(k) = 4*k. Let o be i(p). Suppose o = -0*l + l - 39. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-5)*(-210)\/28. Suppose -3*b = f*b - 18. Find the third derivative of -10*a**b - 6*a**2 - 13*a**3 + 7*a**3 + 15*a**3 wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 7:00 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 * 1467.\nAnswer: -145233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, -117, -257, -397, -537, -677?\n\"Answer: -140*b + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 11. Let i be a(-14). Suppose -2*l - q = -41, l - i*l + 5*q = -59. Suppose 5*x - 95 = -25. Calculate the smallest common multiple of l and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61026 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292548146 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 5508.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.570356 millilitres?\nAnswer: 0.005570356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/26 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1838 - -2707. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 2)*((-3 + 2 + 2)*(2 - 2 + v) + 0*v + 0*v + 2*v) + 3117 - 3117 + 202*v as j + d*v and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*i. Suppose i = 5*v + 7 - 32. What is the smallest common multiple of 4 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + z + 228, -16*z + 12*z - 228 = -4*k. What is the remainder when k is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 1012200?\nAnswer: 1011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89 - 34706\/(-370))\/((-14)\/5).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 g when three letters picked without replacement from ycvccgycyyyccyycw?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 0)*((1 + 2*g - 1)*(-1 + 1 - 1) + 2*g - 2*g + g) - g + 0*g + 2*g + 3*g + 0*g - g + 0*g - 2*g + 3*g + (g - 2*g + 2*g)*(2 + 1 - 5).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-123560)\/(-14000) - (-4)\/(-14) - 8 and 39\/280.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 10*s + 20 + (2 - 1 - 2)*(-s - 2*s + s) to x*s + p and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/30 - 5*j**3\/6 - 4*j**2. Differentiate p(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/43, 1\/3, 12, 4 in decreasing order.\nAnswer: 12, 5, 4, 1\/3, 1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07306098750771 and 5.2.\nAnswer: 5.27306098750771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172983 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 3. What is the units digit of u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(1\/2)\/l)*l)**(-34)\/(l**(-1\/9))**18 assuming l is positive.\nAnswer: l**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -23, -82, -157, -254, -379, -538?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 28, 69, 136, 235, 372, 553, 784?\n\"Answer: f**3 + 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(3\/11)*s\/s**(7\/5) assuming s is positive.\nAnswer: s**(18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r - 3. Let a(c) = -9*c + 5. Let l(s) be the first derivative of s**3\/3 - 7*s**2\/2 - 39*s + 136. Let f be l(11). Give f*i(t) + 3*a(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 176300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 + 1 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2710080 and 258775.\nAnswer: 4705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/5)\/(l\/(l*(l\/(l\/l**19*l))\/l*l*l*l*l))*l**(-4)\/(l\/l**(-3\/4)))**(1\/14) assuming l is positive.\nAnswer: l**(333\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r**2 - r)*(2*r - 2*r**3 - 2*r) + 2*r**5 - 3*r**3 + 3*r**3 + (-2*r**2 + 2*r**2 + 4*r**2)*(3*r**3 + r**3 - 6*r**3).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from uxxrxgoxxgxgxrrgu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (6 + -12) - -10) + -50.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(12) + (sqrt(168)\/sqrt(7))\/sqrt(2)))\/((sqrt(168)\/(sqrt(42)\/sqrt(7)))\/sqrt(7)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 41228 = -4*h + 41154, -3*n - 4*h - 70 = -0*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb + -2?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870*o - 101*o**2 + 1063*o + 51*o**2 + 51*o**2.\nAnswer: o**2 + 1933*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31\/11 + 54\/297. Solve 4*g = b + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/288 and -109\/28.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*o - 33139, 40535 - 7394 = -2*h - 3*o. Is (-4 - (-33)\/9) + h\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(61732\/549)*-46.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15\/2 + -7. Let f = 1 - 1.1. Let q = 0 - f. What is the biggest value in b, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*c - 3, 3*d + 5 = -0*d + 2*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**6\/180 - j**5\/40 + j**4\/12 - j**3\/6 + j. Let s(a) be the second derivative of k(a). Is 2 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -85d8a5?\nAnswer: 85d8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2998 + 922*w - 3886*w - 1773*w wrt w.\nAnswer: -4737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*v**5 + 870*v**4 + 4851*v**3 + 4608*v**2 - 1812*v - 2448 = 0. What is v?\nAnswer: -4, -1, 2\/3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-2 - -28095) - 4. Let a be m - ((-18)\/9 - (1 - 1)). Suppose -w + a = 12*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 158.3516mg?\nAnswer: 0.1583516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3157, 3167, 3183, 3205, 3233, 3267?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -2. Suppose -3*d = q*d - 120. Suppose v + 3*v = d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuhhhhuhuhhhhhhhhhh. Give prob of picking 1 u and 1 h.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -6. Let b = -7 + 20. Let q = -8 + b. Calculate the remainder when j is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) 23 (c) -1\/9 (d) 42 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/47)*q**(6\/7)\/q*(q**(-6))**(-2\/77) assuming q is positive.\nAnswer: q**(201\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adadddddaddaddda. Give prob of picking 2 d.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2971, 13921, 40809, 91603, 174271, 296781, 467101?\n\"Answer: 1328*o**3 + o**2 + 1651*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97067?\nAnswer: 113, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 14*h**2\/19 + 3884334*h\/19 - 15537560\/19 = 0.\nAnswer: -1942195\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26*b**(-2\/99)*b)\/(b*b\/(b*b*b**(-2)*b*b*b)*b*(b**(-24\/7)\/b)\/b) assuming b is positive.\nAnswer: b**(22459\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w = -10, -4*n = 2*w - 840. Is n a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*f + 3 + 32, -3*h - 37 = -5*f. What is the highest common divisor of f and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9010\/33 - 273. Let s = o - 106\/231. Which is the closest to 0.1? (a) -0.7 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 12*((-18)\/(-20) + (-24)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:34 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142513 (base 6) to base 5.\nAnswer: 413311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, -8\/9003 in ascending order.\nAnswer: -0.3, -8\/9003, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - 17*t**2 + 3*t + 9. Let q be 2\/(-4)*(3 + -2)*-8. Let h(c) = -c**3 - 8*c**2 + c + 4. Let f(l) = q*s(l) - 9*h(l). Factor f(x).\nAnswer: x*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 i when four letters picked without replacement from {b: 2, i: 1, y: 5, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 527, 1238, 2233, 3512, 5075?\nAnswer: 6922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -28*y**3 - 17424*y**2 + 3293460*y + 4263192 = 0.\nAnswer: -774, -9\/7, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1980 divided by -275\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 0)*-1)**2 + -3*(sqrt(44) + sqrt(11))**2 - (5 + sqrt(704))**2*3.\nAnswer: -2473 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from qqqvqvaqqvvqqqqvv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - 75 - (1 + 11) - (0 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -636\nAnswer: -5\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -106, -137, -192, -277, -398, -561?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Let g = 2 - n. Let r = 5 + 0. Which is the second smallest value? (a) g (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2766 + -2765.989965. Let b = q - 0.01. What is b rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 130\/(-13)*(-1 - -2). Let o be b\/(-7) + (-44)\/(-77). Solve 5*a - 3*k - 21 = -2*k, 4*k + 12 = o*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**4\/4 - 10*x**3\/3 + x**2\/2 - 6*x - 4. Let h be z(10). Let g be (3\/h)\/((-6)\/2). Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.069 in -2, 149, -12\/49?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - -694.\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 15, 32, 63, 108, 167?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/11 or 89.964?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 40562*t**3 + 0 + 23082*t**3.\nAnswer: 63644*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50029.3 + 50029.550017. Let w = -0.75 + 1. Let l = w - b. Round l to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 5*z**2 - 11. Suppose -45 = 5*o - 0*o - 4*i, 0 = 2*o + 3*i - 5. Give f(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (12 + -8 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9900 and 880?\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.04, 5.8, -0.3, -1\/3.\nAnswer: -1\/3, -0.3, 0.04, 1, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -14*h + 2*m, 5*h = m + 12. Solve 0*o - h*o - 4*s = 21, 2*o - 3 = 3*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471528473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 325\/14, -0.02, -121?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 9 + 6 + 3. Let k(j) be the first derivative of j**4\/2 - 23*j**2\/2 + 1. Suppose 9 = 5*z + 2 - 3. Give z*k(m) + 22*g(m).\nAnswer: 4*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2892 and 3327246.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(-1\/14))**(-12\/5) assuming o is positive.\nAnswer: o**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -43. Let p = 78 + -78. Let k(q) = q**2 - 8*q + 4. Let g be k(8). Which is the closest to r? (a) g (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.3 take away 159954627?\nAnswer: -159954891.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 251, -4, -19 in ascending order.\nAnswer: -19, -4, -2, 4, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 305, -0.2, 3\/2, 6, 3, 3\/7 in ascending order.\nAnswer: -0.2, 3\/7, 1, 3\/2, 3, 6, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -12.0000086. What is i rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 7. Let l(r) = 4 + 1 + 23*r - 24*r - 1 + 7. Calculate -5*l(g) + 8*o(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435208036 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -6 + 1\/3*o**3 + 0*o**2 + 1\/2*o**4 + 0*o. What is the third derivative of q(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/10 of a hour?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1859 - -1?\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -22. Suppose 0 = 3*m + 3*a + 3, -2*m + h*a + 14 = -m. Suppose -79 = -m*b - 39. What is the remainder when 56 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36505 (b) -24 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1187392.1 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 3*a)*(-a + 5*a - 3*a) - a**2 - 2*a**2 + 5*a**2 - a**2 + a**2 - 3*a**2 + (5 - 2*a - 5)*(-a + 0*a + 3*a) - 3*a**2 + 4*a**2 + 2*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d83a3 (base 14) in base 8?\nAnswer: -10113013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v**3\/3 + 61*v**2\/2 + 26*v. Calculate the remainder when 62 is divided by j(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 12) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/192 in 89, -73, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)\/(k**(-1)\/k) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/3)\/2*-1. Suppose -2 = -2*k - 0, -1950003 = 5*i - h*k. What is i rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**2 - 12*z + 5. Let y(h) = 5*h**2 + 11*h - 4. Determine -4*m(w) - 5*y(w).\nAnswer: -w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 + 2*n + 1. Let t be j(-2). Let q be (-6)\/40*(-3 - t). Suppose -14 = -5*h - 3*p - 0, 0 = -2*p + 6. Which is greater: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g - 4. Let d be (-22)\/6 - (-6)\/9. Let u(z) = 3*z - 2. Determine d*b(n) + 7*u(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11007 - -11032) + 0 + -1 + 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqi when three letters picked without replacement from {i: 2, f: 5, q: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(77)\/(sqrt(7) - 4*sqrt(7)*-3) + -3.\nAnswer: -3 - 4*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 286, 430?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**6 - 3*l**5 + 3*l**2 - 3*l. Let r(w) = w**6 + w**5 + w. Let a(z) = -3*r(z) - s(z). Find the third derivative of a(b) wrt b.\nAnswer: 1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -48*f + 20. Let i(p) = 35*p - 21. Determine 5*b(q) + 6*i(q).\nAnswer: -30*q - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2 + a**2 + 124*a**3 + 38407*a - 38419*a wrt a?\nAnswer: 744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -54. Let d(l) = l**3 + 13*l**2 - l - 3. Let a be d(x). Suppose -5*z + a = -3*z. Solve 0 = 4*w - 3*v + 2*v - 11, -z*w + 5*v = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 244 + -3?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:49 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f)*(-f**3 - 130*f**3 + 32*f**3).\nAnswer: -99*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-79)\/(-5) + 3\/15. Suppose i = -3*i + t. Let 2\/9*l**5 + 2\/3*l**i - 14\/9*l**2 - 2\/9*l**3 + 8\/9 + 0*l = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441 by 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 + 2*q + 2. Let k(i) = -i**3 - i**2 - i - 1. Give 2*k(z) + s(z).\nAnswer: -6*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2946, -5465, -7082, -7347, -5810, -2021, 4470, 14113?\nAnswer: 27358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 910260467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-1) + 40\/(-10). List the prime factors of (-1 + l)\/((-8)\/(-1068)).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**0*m))**(1\/6)\/(m**0)**(-16\/7)*(m**(-6)*m*m**(2\/39)\/m)**(-7\/3) assuming m is positive.\nAnswer: m**(3209\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:16 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2773.42725 + 29.42405. Let f = s - -2750. Let o = f - 6. What is o rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -25.513 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26597322 is divided by 96367.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1175 - -1104.7. Let o = -81 - g. Is 1\/3 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 - 2*u**3\/3 - u**2\/2 + u - 8. What is p(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339899 divided by 59?\nAnswer: 5761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -26071, 4 in decreasing order.\nAnswer: 4, -1, -26071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**2 + 13*k**2 - 3*k - k**4 - 10*k**2 + 2*k**3 + 0*k**3 to g*k**2 + r*k + a*k**4 + w + l*k**3 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 5572 - 34428 = 0. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/5 - 2484*j**2\/5 - 5013*j - 12570.\nAnswer: 3*(j - 838)*(j + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1013385606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -0.3 (b) 1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34997, -141435, -318831, -567185, -886497?\nAnswer: -1276767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 152 in increasing order.\nAnswer: -1, 0, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8259379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2007 - 4*h**3 + 4*h + 2007 + 10*h to the form x*h**3 + t*h + i*h**2 + w and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242*y**3 + 105*y**2 + 6067989*y.\nAnswer: 1452*y + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 34*q + 54. Let k be (30\/8)\/(-3)*(-4)\/(-1). Let x be -28 + k + 10 - 0. Is p(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -5214888.\nAnswer: 1\/869148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 194*b - 189*b - 5*l, -4*b = -3*l - 4. Is b > -23\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45, -67, -83, -87, -73?\n\"Answer: d**3 - 3*d**2 - 20*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 128\/48*-6*1\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117 and 3780607.\nAnswer: -442331019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1)\/(-2) + 49\/(-56). Which is the fourth biggest value? (a) -0.3 (b) 0.1 (c) i (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/9)\/c)\/c**(6\/5))\/(c*c**12)**(-2\/119) assuming c is positive.\nAnswer: c**(-8231\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 2\/3, -36\/1309, -7\/4 in descending order.\nAnswer: 2\/3, -36\/1309, -0.4, -1, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(0*u + 3*u - u) + 1170 + 1176 - 2307 + u in the form g + j*u and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2498802 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/19 + 4*v\/19 - 2\/19 = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 7.3 (c) -140.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -3, 150829?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -49*k + 826. Let a(p) = 11*p - 1. What is 4*a(c) + d(c)?\nAnswer: -5*c + 822","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**3 - 4*r**2 - 2*r - 1. Suppose -g + 57 = 62. What are the prime factors of w(g)?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279721973 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8429*s. Let u(o) = 10*o. Calculate m(u(v)).\nAnswer: 84290*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 13*r - 4. Let s(k) = k - 1. Let t(h) = 1. Determine r*s(o) + 3*t(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635427 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.33 in -16.734, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 711282 and 245384.\nAnswer: 105269736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(7))*5 + 4)*3 - (sqrt(847)*-2*-5 + 2))*-6*-2)**2.\nAnswer: 136800*sqrt(7) + 9100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -665, -1496, -2859, -4742, -7133, -10020?\nAnswer: -13391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 258*c + 251 = 253*c, -196 = -4*i + 4*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2476 = -y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*l + 708*l + 279*l + 241*l + 1123*l.\nAnswer: 2063*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 215704\/37 or 5829?\nAnswer: 215704\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -644 - 245765?\nAnswer: -246520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 977 + -971. Suppose 2*t - 5 = 5*t - 4*i, -2*i + 5 = -t. Solve -4*q - 27 = -t*g, -u*g + 12 = q - g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*d**6 + 47218*d**4 + 411*d**2 - 719*d - 2?\nAnswer: -4320*d**3 + 1133232*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 - (-4)\/10*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-4)))\/o*o*o\/o**12)\/(o**(2\/15)\/(o*o**10*o*o)) assuming o is positive.\nAnswer: o**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -1038, -1532, -2026, -2520?\nAnswer: -3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 746?\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -0.45?\nAnswer: 13.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44960 + 44960 + 1123*w)*(-2 + 3 + 1).\nAnswer: 2246*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5194 and 848.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 7*o**2 - 7*o. Let t be w(8). Is 7 a factor of (t\/6)\/(2\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -142, -277, -458, -685, -958, -1277?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 514, 940, 1706, 2938, 4762, 7304, 10690?\nAnswer: 15046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.774978*-11\nAnswer: -30.524758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/(c\/(c*c**(6\/5))))\/c*(c\/c**6)\/c*c*c\/(c\/(c\/(c*c\/c**(-2\/3))))*c\/(c*c*c**(2\/11)) assuming c is positive.\nAnswer: c**(-932\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqkq when four letters picked without replacement from {q: 6, s: 3, k: 6}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 119*t**3 - 4*t**2 + t - 2. Let o(s) = s**3 - s**2 - 1. Calculate -j(z) + 4*o(z).\nAnswer: -115*z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 79072774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 6308?\nAnswer: 6308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 231?\nAnswer: -23\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, 4, -3, -37?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9.98. Let i = h + -0.28. What is the closest to -0.1 in 0.5, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36525254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2631\/6686 or 0?\nAnswer: 2631\/6686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29530646*n**4*q + 12*n**4 - 4*n**2*q - n**2 + 14*n*q + 551*q - 30 wrt n?\nAnswer: -708735504*n*q + 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = 13*t - 1720. Is t a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459d14 (base 15) to base 11\nAnswer: 1970368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 + 6*4\/8. Suppose d - 4 - 6 = 2*l, -4*d + i = -4*l. Solve d = -p + 3*g + 15 - 2, 3*g = 2*p - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6410 divided by -167\nAnswer: 6410\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232*h**3*p**3 - 24*h**3*q + 3*h**3 + 41*h**2*p**3*q + 2*h**2*p**2*q + 54935*h**2*p wrt h.\nAnswer: 1392*p**3 - 144*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 28 - ((-5 - 4) + 1) - 25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 19*s**2 + 21*s + 26. Let r be h(-20). List the prime factors of ((-95)\/(-15) - 6) + 1696\/r.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5838 and 83\/519582.\nAnswer: 519582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/(2\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 12:05 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 1543 - 5*s**4 + 2*s - 1544 - 3*s**3 + 6*s**4 in the form t*s**4 + c*s**2 + v + x*s**3 + a*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*z + 5*k - 7, 5*k = -z + 17. Factor -689*u**z + 60*u - 4*u**3 - u**3 + 709*u**2.\nAnswer: -5*u*(u - 6)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -99, -133, -169?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 52*d**2 + 5*d - 3. Let s be p(-3). Suppose -44*c - s = -49*c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78\/1055 + 2656\/7385. Sort m, -0.2, -0.1, -3\/23, -1\/6.\nAnswer: -0.2, -1\/6, -3\/23, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 30003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 189. Let h = y - 35. 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: Solve 91*g - 840 = 22*g + 48*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(1 + 3*v - 1)*(-v + 3*v - 3*v) + (-4 - v + 4)*(0*v - 3*v + 0*v)*(-1029 + 2567 - 1258).\nAnswer: 843*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5922123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48182 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-21) - 356\/(-623)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9*t = -270. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 122, 0, 4\/5, 0.4, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3318)\/(-6320))\/(4\/(-10)) and 23\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36770.127 take away -8.4?\nAnswer: -36761.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 2 + 0 - -5. Suppose 2*x = 4*u + 3*x - 18, f*u + x - 23 = 0. Is 134\/(-4)*(u - 7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -1\/5*b**3 + 0 + 14\/5*b**2 + 3*b = 0?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 8. Solve c*p = 10*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 2*z - 3. What is s(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 11. Let l(o) = o**3 + 3*o + 0 - 10 + h - 6*o**2. Let x be l(7). What is the highest common divisor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k + 1\/24*k**6 + 58 - 35\/6*k**4 - k**5 + 0*k**3 + k**2. Determine w, given that n(w) = 0.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231184, -462367, -693550, -924733, -1155916?\nAnswer: -1387099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6664041.\nAnswer: 3, 19, 38971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3, g: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/83 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7137 and 45?\nAnswer: 35685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -6) + -2 - -5) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 10, -143*o - 5*a + 308 = -142*o. Solve 292*g = o*g + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)\/(n*n*n**(-10)*n))**(8\/5) assuming n is positive.\nAnswer: n**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 13*f + 13. Suppose -13*j + 167 = -30 + 28. Let o(g) = 6*g - 6. Determine j*o(d) + 6*u(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 35 = -0*v - l, l = -v + 11. Let c(t) be the second derivative of -t**3\/6 + 3*t**2\/2 + 13*t. Give c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-128)\/(-448)*(-7)\/4*30. Sort -4, 2, a, -5, -2 in increasing order.\nAnswer: a, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y = 64*y - 712667. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -713 + 803. Calculate the greatest common divisor of 36 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {d: 1, v: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*-3*(-1)\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 2*m**3 - 13*m + 11*m - 3 - 5*m**3. Is s(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 6269\nAnswer: -363602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 11) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/((l\/l**6)\/l)*(((l*l**(-5))\/l)\/l)\/l**6)**(10\/9))**21 assuming l is positive.\nAnswer: l**(-490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 9 + 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/95 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -81, -112, -149, -192, -241?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from grggrrgggrrg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 334 + 29?\nAnswer: 35d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -2133132122?\nAnswer: -2133132113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1299.82 + 1298. Put -5, j, 4 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r - 25. Let w be n(6). Let x = 32 - w. Solve 0 = -4*s + 2*s + x*l - 2, s + 2*l = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -628. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 127, -3, -367?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1179? (a) -1 (b) 1\/3 (c) 0 (d) 0.4 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 5*t**2 - t - 21 + t**3 + 0*t**4 - t**4 + 23 in the form v*t**2 + u*t**3 + k*t**4 + x + b*t and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -0*p - 2093. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 6. Let x(i) = 3*i + 13. Let w(z) = 5*j(z) - 3*x(z). Let d be w(10). What is the greatest common factor of d and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 34*d**2. Let v(j) be the second derivative of -j**4\/4 - 759*j. What is v(c(f))?\nAnswer: -3468*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 22 + (-12 - -2) + (74 - 67)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -408468 in -2, 2\/11, 0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-585 - 546 + 1179)*(0*k - 2*k**3 + 0*k) in the form v + y*k**2 + i*k + g*k**3 and give g.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/32)\/((-1)\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (9 - -11) - (-2 + 10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 2*t**2 - t + (-t + 7 - 7)*(0*t - 4*t - t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -61. Suppose q = 2*g - 62. Suppose b + b = 0, 4*r - 4*b = g. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cd4 + 5?\nAnswer: cd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*h**2 - 2*h**2 - h + 258 - 139 - 115 as p*h + z + w*h**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Does 9 divide (-1 + 30\/f)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**3 - 3*s**2 - 3. Suppose -41*d - 42 = 46 + 76. Let p(v) = -4*v**3 + 3*v**2 + 3. Calculate d*p(a) - 3*y(a).\nAnswer: a**3 - 3*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 37*o**2 - 39*o - 115. Calculate r(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*q - 326*q + 181*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3168 and 1197.\nAnswer: 421344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 3. Let g(u) = -2799*u - 135. Give 3*g(k) - 135*o(k).\nAnswer: -8937*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1933\/1246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 - 5*r**2 + 6*r + 73. What is the tens digit of p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x - 24. Let h = x + 17. Solve 2*b = -2*q + 10, -5 = -h*q + 2*b + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:57 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/2)\/((-171)\/(-114))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 - 4*u**2 - 2*u**2 - 3*u - 2*u**2 + 3*u + (-u + 3*u - u)*(-4*u + 2*u + 3*u) - 4*u + 4*u - 2*u**2 + 16*u**2 + 54*u**2 - 8*u**2.\nAnswer: 58*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - (-48 + 5). Let a be (k\/(-1))\/(-3 + 1). Suppose -77 = -3*b + x, -3*b - a = -4*x - 104. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310894*r**5 - 1472*r - 13 wrt r.\nAnswer: -6217880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31451 divided by -368?\nAnswer: -31451\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37094 by 86.\nAnswer: -18547\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8336, -3\/19, -1, 1\/3?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -40. Suppose -36 = -j + 2*z, -j - 3*z + 2*z = -33. Let f = r + j. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 17*a + 1620. Suppose 6*t - a = -3*t. Let b = 62 - t. Solve -9 = -3*x - o + 4*o, -b*o = -x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -26. Solve -q - 4*n = n - d, -3*n + 16 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 2. Let v be b(-4). Solve 0 = -0*c - c, 4*k - 12 = v*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/7, 2, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-656)\/(-720)*9 - 2\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g + 62*g - 14*g - 8*g - 16*g - 16*g - 9*g.\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, -357, -1, -4, -49, 4.\nAnswer: -357, -49, -14, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0.03, 1\/12, -3\/7, 70?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*t - 84 = -134*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7474000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 - 2170*i**2 - 785088*i\/5 - 14154912\/5.\nAnswer: (i - 10922)*(i + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(208) + (-4 + 1 + sqrt(208))**2 + ((0 + sqrt(208))*-3 + sqrt(208) - sqrt(208) - sqrt(208))) + 0 + -2 + (5 + 1 + sqrt(208) + sqrt(208))**2.\nAnswer: -219 + 276*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 819068512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*k - 4*v, 0 = 67*k - 72*k + 3*v - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5665877*i**3*j*v*x**2 - 2*i**3*v**3*x - i**2*j*v + 2*i**2*v**3*x**2 + 882*i**2*v**3*x - 61*j*x**2 wrt i?\nAnswer: 33995262*j*v*x**2 - 12*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 0.01. Let m = 201.7 - 188. Let k = m + -13.7. What is the nearest to x in -5, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/25 in 0.3, -132, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = 10. What is the first derivative of -h + 5*r**4 - r**4 + 5 wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 7. Let b be l(-3). Factor -4*x**b + 15*x**3 + 4*x**2 - 17*x**3 - 2*x**2.\nAnswer: -2*x**2*(x + 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -0.1, 0.09, 2\/59 in decreasing order.\nAnswer: 79, 0.09, 2\/59, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9502 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y**2 - 8*y + 8*y. Let v be z(-1). List the prime factors of (-36)\/v*(-10)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.25635407 rounded to one decimal place?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72764663?\nAnswer: 23, 3163681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 8*p**2 + 6*p - 1. Let o be z(-7). Let c(h) = h**3 - 6*h**2 + h - 2. Let m be c(o). Solve 0 = n - 3*u + 13, -m*u = -4*n + 2*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.555376s to days.\nAnswer: 0.000480965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2346*x**2 + 148 + 112 + 417 - 466*x**2 + 144 wrt x.\nAnswer: 3760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3308941*o**2 - 15621008*o wrt o.\nAnswer: 6617882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m. Let s(i) = m + 0 + 2*i. Let j(p) be the first derivative of p**2 + 38. Give s(j(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9154\/983 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {h: 1, g: 2, a: 1, k: 2, z: 1, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -40?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k. Suppose 15 = 3*p, -7*w = -4*w + p - 14. Is 6 a factor of r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (21 + -3) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, -44, -106, -188, -296?\n\"Answer: -m**3 - m**2 - 38*m + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 1. Let w = t - -1. Let d = 1\/7 - -3\/28. Which is the second biggest value? (a) -4 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 2613*m**2 - 193137*m + 185267073.\nAnswer: -3*(m - 211)*(m + 541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*u = -222 + 55, -2*u + 801 = -5*r. Round r to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/95)\/((-3)\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-6)*(-246)\/(-164)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(14)\/sqrt(2)) + (0 + sqrt(612))**2 + (1*(sqrt(170) - sqrt(170)*2))\/(sqrt(490)*2).\nAnswer: 13*sqrt(17)\/14 + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.042 and 0.75.\nAnswer: 0.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-20))\/(j\/j**(-13))*(j**9)**(-22) assuming j is positive.\nAnswer: j**(-191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 15 = -54*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2771 - 138. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/9)\/(-7))\/(8\/(-24))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 25 = -5*p. Let b(u) = -10*u**2 + 4*u**2 - 2 - u**3 - 2*u + u. Let x be b(-6). Sort p, x, 1 in descending order.\nAnswer: x, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + s**4 + s**4 + 4*s - 4*s + 2*s**4 + 3*s**4 + 3*s**3 + 0*s**3 - 2*s**4 + (0 + 0 - 3*s**2)*(s**2 + s**2 - 3*s**2).\nAnswer: 7*s**4 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1, -5, 2, -6801, 0 in descending order.\nAnswer: 19, 2, 0, -1, -5, -6801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*x + 20 - 4, -5*x - u + 40 = 0. Let o(h) = 56*h**2 - 9 + 6 + 1 - 3*h + x*h. Is o(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/30*13635\/(-418140)\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/3)\/r*r)\/r)**(-2\/125) assuming r is positive.\nAnswer: r**(2\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -8\/3, 846\/143, -4, 1\/4 in descending order.\nAnswer: 846\/143, 1\/4, -8\/3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -428*d*f + 22636*d + 15*f wrt f.\nAnswer: -428*d + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/60 and 41\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 16*b + 2. Let i be o(16). Solve 5*q + 3 = 2*s, -i*q = 3*q - 5*s + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + -1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 7 + -2 + 1 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886924 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 6 = -37*z - 2*u, 13 = -5*z + 3*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418 and 5522.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4500))\/(sqrt(729) + (sqrt(729) - (sqrt(729) + 2*sqrt(729)))).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6958.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6 (b) 23 (c) -2\/19 (d) -0.5 (e) -2 (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10271 - 18992 = -17*g. Calculate the greatest common divisor of g and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17777038*-0.1.\nAnswer: 1777703.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.2 in 1\/5, -0.004, 0.0038?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -291b (base 12) to base 4\nAnswer: -1022213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.956239 - 3446\nAnswer: -3443.043761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -2231 + 6911. What is the smallest common multiple of k and 5?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/3 - 104*v**2\/3 + 1352*v\/3 = 0. What is v?\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 5, 3269 in decreasing order.\nAnswer: 3269, 5, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*1 + (-1927)\/287. Which is the second smallest value? (a) -2 (b) -3 (c) 2 (d) -0.3 (e) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -142.\nAnswer: 14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 15) to base 2\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 8. Let t be 70\/(-12) - 10\/60. Let w be j(t). Is (1 + -2)\/(w\/(-230)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -247.86 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -354, -516, -660, -780, -870, -924, -936?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (-8 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91643 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -3, -11, 3 in decreasing order.\nAnswer: 3, 1, -3, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59989 is divided by 6664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 11. Let l be f(11). Suppose -22 = -2*n - q - l, 4*q = 5*n - 55. Calculate the greatest common divisor of 33 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 92*b**2 + 29\/6*b**3 + 3\/35*b**7 + 0*b**6 + 0*b + 1\/12*b**4 + 0*b**5 + 0. Find the second derivative of d(w) wrt w.\nAnswer: 216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b + 334. Suppose 0*t = 4*t - 0*t. Let g be o(t). Suppose -4*k + g + 178 = 4*n, -408 = -3*n + 3*k. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70951561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/7 + 6\/21. Let o = c + 5. What is the greatest common factor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0*y + 2*y + 1 + 117*y**2 + 223*y**2. Is z(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1920, 1901, 1872, 1827, 1760, 1665, 1536, 1367?\n\"Answer: -i**3 + i**2 - 15*i + 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/66 and -5\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Let u be (-78)\/(-21) + a\/14. Let m = u + 18. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16796960 to the nearest integer?\nAnswer: 4098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12052445 divided by -1?\nAnswer: 12052445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-18) - 33\/(-9). Suppose 755 = 3*n - z*j, 6*n + j - 1266 = n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 56738?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {o: 3, s: 1, b: 2, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18 + 0 + 8 + -8 + -3. Calculate the greatest common divisor of 249 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 29 = 2*w. 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 nearest to 0 in -3, -41, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/((-4)\/6). Let m(a) = 6*a**2 + 3*a + 1. Let d be m(-2). Let o be d\/5 + (-4)\/1. Are l and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - 8 = 0. Suppose -x*d + 3 = -3. Solve 5*f - d*w + 7 = -12, f + 3*w - 7 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 1, i: 1, s: 1, c: 1}. Give prob of sequence cas.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1734518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 8. Let m(o) = -o**2 + o + 11. Let h be m(0). Let q be r(h). Suppose -2*s + 38 = -l, q*l - 33 = -5*s + 84. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 20 = 4*u + v, 0 = -5*u + 4*v + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*x - 3*a, 7*a - 2*a + 19 = 2*x. Let b(c) = 2*c - 2*c - x*c. Let i(f) = 7*f**2. Give b(i(l)).\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + (-1 - -2) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 197, 587, 1331, 2549, 4361, 6887?\n\"Answer: 20*j**3 - 3*j**2 + 25*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r)**45)**(-3\/37)*((r**1*r)\/r**(1\/7))**(-5\/4) assuming r is positive.\nAnswer: r**(-6185\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605*l**2*x**3 + 5*l**2 - x**3 + 552*x**2 wrt x.\nAnswer: -3630*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.810186861 + 1.8102. Round j to seven dps.\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from {y: 1, h: 8, o: 2, g: 4, f: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -38*w - 53. Determine y(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/(-13))\/(-5*(-48)\/(-20))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9114925 and 645.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 5*k + 30 = 0, -36 = 2*w - 4*k - 50 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-30) + (-12)\/(-10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2102385*n**4 + 2270*n - 401.\nAnswer: -25228620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90211.7769 rounded to the nearest 100?\nAnswer: -90200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -77. Solve -9\/4*h**q + 3*h - 1 = 0 for h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/15)*m)\/(m\/m**(-3\/7))*m**(-6)*m*m**8*(m**(-1))**(9\/5)*(m**(-8)*m*m)\/m**(-1) assuming m is positive.\nAnswer: m**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 + f**3 + f**3 + f**2 - f**2 + (-3*f**2 + 0*f**2 + 5*f**2)*(0*f + 2*f - 4*f) + 2*f**3 - 7*f**3 + 4*f**3 + 3*f**3 - 3*f**3 - f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 22120?\nAnswer: 22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o. Let l be -1*(9\/(-12) - 13\/4). Let t(r) be the second derivative of 2*r**l + 8*r + 6*r - 22*r + 12*r. Determine v(t(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 190 = 4*u, 10*p - 85*u + 119 = 46*p - 86*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-4)*-2 + (-1 - 16). Let w = -17 - a. Let o be 6\/24 - (27\/(-4) + w). Solve -3*y + 2 = -o*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:59 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 4. Let o be u(6). Let q = 18 + o. Let w = 18 - q. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6 + 4 - 3 + 5*s + s**2. Let n be o(-5). Let k(a) be the second derivative of a**4\/12 + 5*a**3\/6 + 7*a**2\/2 + a. Give k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 11276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from fvvfsfuvfdfsff?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20 - 0)\/(4\/(-2)). Let l = 0 + t. Let v be (-4)\/(-8) + l\/(-4). Which is the second smallest value? (a) -5 (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27171.57 centuries to years.\nAnswer: 2717157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.9. Let y = 29 + -31.1. Let o = y - -6.1. What is the third biggest value in 0.1, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1679)\/(-46) + (-2)\/4. Let c = -3 - -30. Find the first derivative of -123*a**2 + 60*a**2 + v*a**2 - c wrt a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -7. Let v(g) = -g**3 + 9*g**2 + g - 8. Let b be v(9). Let l(r) = b - 4 - 3*r + 0*r**2 - r**2. Give l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 1, p: 2, n: 1, i: 4}. What is prob of picking 1 n, 1 k, and 2 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76 + 99?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 - 0) - (2 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**3 + 37*p**2 + 14*p + 17. Let h(f) = 3*f**3 - 12*f**2 - 5*f - 6. Give 17*h(w) + 6*k(w).\nAnswer: -3*w**3 + 18*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/2692 + -5357\/24228. Is n greater than or equal to -2\/359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from hdedhdefeb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 112500?\nAnswer: 787500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.212 and 6.\nAnswer: 1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.92, 27, 2\/7, 1, -5470 in descending order.\nAnswer: 27, 1, 0.92, 1\/2, 2\/7, -5470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ids when three letters picked without replacement from {b: 1, i: 3, o: 3, m: 4, d: 1, s: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7 - 2*a**2 + 4*a**2 + 10*a - a**2. Let t be j(-8). Let m = 40 + t. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-65)\/(-39))\/(-5) - 2\/(-6). Solve 42*g + 108 - 360 = l for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4140 times -101\nAnswer: 418140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 233*i + 234. Let r be a(0). Calculate the highest common divisor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 56 - 16*j + (0*j - j + 0*j)*(-6 + 5 + 3).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 17. Let z be j(-4). Suppose 0 = 4*h - 0*h + 44. Put 0, z, h in decreasing order.\nAnswer: z, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/27 + -4)*(-102)\/68.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 5, -3, -488, 4, -48.\nAnswer: -488, -48, -3, 4, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6181590, 12363182, 18544774?\n\"Answer: 6181592*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*f**2*x**2 - 3*f**2*x - 118*f*x wrt x?\nAnswer: -74*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 2 - 0 - (73 - (25 - 6))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 9*z**2 - 7*z - 4. Let l be f(8). Suppose -8 = l*a + 8. Let i = 29368 - 29367. Sort a, -1, i in descending order.\nAnswer: i, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11112, 22309, 33686, 45333, 57340, 69797, 82794?\nAnswer: 96421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, s: 2}. Give prob of picking 2 b.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -155, -475, -1091, -2099, -3595, -5675, -8435?\nAnswer: -11971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 46285?\nAnswer: 46285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 2, 5, 0.08, 1\/7.\nAnswer: 0.08, 1\/7, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:15 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 45960*b**3 - 263948256*b**2 + 1056528512*b = 0.\nAnswer: -11492, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = -5*n + 4*u, 5*n - 5*u + 5 = 0. Solve -2*s - 14 = -5*v, -n*s - 6 = -4*v + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 15784 - 12871 = -5*g, -2*r - 11456 = -2*g. Is 55 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/4 + -13\/2. Let k = s + 4. Put -4, k, 1 in increasing order.\nAnswer: -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478945 is divided by 3601?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020618495 rounded to five decimal places?\nAnswer: 0.02062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 10258 = -11911 - 4297. What are the prime factors of u?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 - 7*a**2 + 3*a - 4. Let r be k(-3). Let s = r + -110. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 1, j: 2}. Give prob of sequence eehh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c**3*t - 471*c**3 - 20*c*t wrt t?\nAnswer: -6*c**3 - 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1912*h**2 - 428*h**2 + 116*h - 1793 + 389*h + 898 + 896 wrt h?\nAnswer: -4680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 0 + 35. Solve -2*w + 7*w = -j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*k**3 - 112*k + 56*k - 678*k**3 + 56*k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:11 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9016451 (base 10) in base 5?\nAnswer: -4302011301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27998625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1 - 4 - x**3 + 0*x**3 + 3*x**2. Let q be l(3). Let u = 9 + q. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/4)\/(155\/(-1116)*6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-3))\/((-9)\/1782)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 74513064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1041 - -4?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005936 to five dps.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 + -5131?\nAnswer: -5267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18506*n + 3888*n + 221849 = -624106 - 498901 for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a + a)*(0 - 1 + 3)*(a**2 - a**2 - 2*a**3).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86733 is divided by 922?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6432.644 + -6420. What is o rounded to one dp?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210796*a**3 + 211178*a**3 - 421973*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5619 minus 14615.4057?\nAnswer: -8996.4057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**3 - 13*s**2 + 231*s?\nAnswer: 18*s - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than or equal to 447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 39*c**2 + 6. Let h(w) = -506*w**2 - 77. Let z(j) = 6*h(j) + 77*x(j). Let t(k) be the third derivative of k**5\/60 + 17*k**2 + 1. What is z(t(d))?\nAnswer: -33*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5273759, -21095031, -47463817, -84380117, -131843931, -189855259?\n\"Answer: -5273757*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + p**3 - p**2 + ((0*p - p + 3*p)*(-2 + 4 + 0) - 3*p + p + 0*p + 1 - 1 + p)*(16*p**2 + 6*p - 6*p) + (p**2 + 0*p**2 - 7*p**2)*(-2 - 2*p + 2).\nAnswer: 61*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/470 and 25.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**2 - 5*x - 1. Let l(n) = -20*n**2 - 14*n - 3. What is 8*c(p) - 3*l(p)?\nAnswer: 4*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.51 - -0.09. Let t = w - 0.6. What is the third biggest value in t, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20004 + 19990. What is the fifth smallest value in -2, 1\/5, t, 0.04, -4\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 1, a: 5, n: 1, j: 1}. Give prob of sequence aad.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 3*k - 1. Let o be u(-2). Let c(t) = -3*t. Is 9 a factor of c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*b**2 - 10611*b - 24144.\nAnswer: -3*(b + 503)*(7*b + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 15024555010?\nAnswer: -15024555023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4550277 and -11.5?\nAnswer: 52328185.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 2. Let w(c) = -2*c + 10. Let h be w(5). What is the remainder when 4 is divided by f(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5947 = -5*x - 2*z, -z = -x - 3*x + 4755. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175931 is divided by 94.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -3*c**2 + 0*c - 32\/3*c**3 + 0 + 4\/3*c**4 - 1\/15*c**5. Factor f(l).\nAnswer: -4*(l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*v - 10, -13 = -4*s - 4*v + 3. Suppose -s*a - 1 - 11 = 0. Is ((-102)\/a + -2)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-24)\/15 - 36\/10. Let t = 12.06 - 12. Which is the biggest value? (a) t (b) 2\/23 (c) 0.5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgxx when four letters picked without replacement from {c: 4, d: 1, g: 3, v: 1, n: 4, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 719048*s - 32314376644.\nAnswer: -4*(s + 89881)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45.4 in 1\/3, 0.4, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*o**3 - 6686*b**2 - 1125674*b*o**4 + 3*b*o + 2*o - 19 wrt o.\nAnswer: 12*b**2*o - 13508088*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 270163.\nAnswer: -31\/270163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 47 - -32 - (-3 + (-1 - 3 - 13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 500 and 408015.\nAnswer: 40801500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztztzi. What is prob of picking 1 t and 3 z?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -41416\nAnswer: 5\/41416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 - (710\/(-54) - -5) and -79\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 2*f - 184, 2*d + 142 = 3*f + 130 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 588 - 593. What is the nearest to 1\/2 in l, 11\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 0.03999938. What is b rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*i*u**2 - 2*d*i*u*x - 2*d*i*x + 135*d*u*x - 20*d*x + 3*i*x with respect to u.\nAnswer: -2*d*i*u - 2*d*i*x + 135*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -43*q + 44*q - 14, -2*q = -16*w - 5*q - 46 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.53 - -0.03. What is the closest to 2\/3 in c, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*l = -15869 - 2023, 3*l = 2*s - 11938. What are the prime factors of s?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11295 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14187494.\nAnswer: 2, 59, 120233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**5 + 58488610*y**4 - 307722480*y**2 wrt y?\nAnswer: 120*y**2 + 1403726640*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 33*j**3 + 8*j**2 + 20*j - 2. List the prime factors of s(6).\nAnswer: 2, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 200*h + 1153. Let v be l(18). Let g = 7 + -3. Suppose g*s - v + 1245 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 73 - 93 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.287004 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 51138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6\/5 (b) -1\/2 (c) 6.84 (d) 28.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*b**3*r - 15*b**3 - b**2*r + 5*b**2 - 2854*b*r + 3*b + 382 wrt r.\nAnswer: 47*b**3 - b**2 - 2854*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -32*o. Let l be f(-1). Let g = -6 - -8. Suppose -3*s + 44 = 6*z - 2*z, -5*s + 78 = g*z. Calculate the highest common factor of s and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 * 11510585.\nAnswer: -368338.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283.742 + 0.258. Let h = n - 282. Which is the fourth smallest value? (a) h (b) 4 (c) -0.3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 8.15. Let x = 0.08 + n. Let a = x - -0.04. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540f (base 16) in base 3?\nAnswer: 1002112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucbucbcobcqtccbquc. What is prob of sequence cbt?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4353165341 minus -850?\nAnswer: 4353166191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 5*g = -6, -4*b - 4*g - 5 - 3 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -14. Let h(q) = 4*q**3 + 3*q + 229. Let l(v) = v**3 + v + 57. Let n(u) = j*l(u) - 2*h(u). Find the first derivative of n(z) wrt z.\nAnswer: 3*z**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/4827 - -38061\/45052. What is the common denominator of 5\/511 and c?\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188970.\nAnswer: 2, 3, 5, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -891.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-37)\/(-13) + (-46)\/(-299). What is the second biggest value in 0.5, h, -2, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1aa20a2 (base 12) to base 13\nAnswer: -1240964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from nnyyyny.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223801755.\nAnswer: 3, 5, 751, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564*f**2*t**3 + 3*f**2*t**2 + f**2*t - 4263*f*t**4 + 504283*f*t**2 + 2*t**2 wrt t.\nAnswer: 3384*f**2 - 102312*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 65. What is the third derivative of 1 - 5 + 2 + 51*c**3 - 3*c**h - 135*c**3 wrt c?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 5*p**2 + 5. Let h be v(-4). Let b = 74 - h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 >= 799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 + 1177*u**2 + 2626*u - 587. Determine x(-292).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -367 + 626. What are the prime factors of r?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyllxxylxyyxyyxl. Give prob of picking 1 y and 3 x.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*r = 4452*r + 128044 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l + 5. Let y be k(0). Let r(s) = -2*s**2 - 2. Suppose 74*o - 76*o - a = 10, 5*a + 32 = -o. Let h(p) = -4*p**2 - 4. Give o*h(i) + y*r(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367401659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-9))\/(4\/6). Let p = 1 - t. Is p\/(8\/3)*16 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -4*r + 5*c, 2*r - 4*c + 126 - 18 - 56 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25995575 divided by 5?\nAnswer: -5199115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -378134802 to the nearest one million.\nAnswer: -378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + g - 2. Suppose 7*y + 8 = 3*y. What is the units digit of u(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/10)\/y)\/(y*y**(7\/5)))\/(y**10*y**(-10)\/y) assuming y is positive.\nAnswer: y**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7151 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(46\/(-16))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 170, 361, 624, 959?\n\"Answer: 36*k**2 + 11*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-11*21\/1078)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 12*v - 6 - 2*v**2 - 4*v. Let r be j(6). Find the third derivative of a**6 + r*a**3 - 6*a**3 - a**2 wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26046 and 44?\nAnswer: 573012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468)*2)**2*4 + 4 + (2 + (-1*sqrt(468) - sqrt(468)) + 4 + 2 + sqrt(468) + -2)**2.\nAnswer: -72*sqrt(13) + 7996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -84*t - 17. Let q(s) = 43*s + 9. Give -6*m(f) - 11*q(f).\nAnswer: 31*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.015, -2\/7, 3, 5, 148?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2400579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-2)\/((-4)\/1062) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from llvlalyalaly.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10233.93 milliseconds to microseconds.\nAnswer: 10233930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3 + 6*v**2 + 12*v + 11. Factor y(x).\nAnswer: 3*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 1:23 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6911195 to the nearest integer?\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.1 (b) -13 (c) -2363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*l + 13, -l = -2*m - 0*l + 1. Let y be 4 + (3 - 3)*1\/(-2). Sort m, 2, y.\nAnswer: m, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6557 - 40465 = 2422*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.9207741 rounded to 1 dp?\nAnswer: 793.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, v: 1, b: 3, l: 1}. Give prob of picking 1 v and 1 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 4, t: 2, c: 1, o: 3, i: 8}. Give prob of sequence wci.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -853 - -1709. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(77))\/(-2*sqrt(1584) + sqrt(11)))**2.\nAnswer: 112\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*k - 124, -5*r - 12*k + 11*k + 557 = 0. Calculate the lowest common multiple of 1904 and r.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)\/h)\/(((((h*h**(-3\/7))\/h)\/h)\/h)\/h))**(2\/73) assuming h is positive.\nAnswer: h**(89\/1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*k**3 + 19*k**3 + 14682 - 884*k**2 - 14682 + 440*k.\nAnswer: 4*k*(k - 110)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72010244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/(-21) + (306\/21)\/(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290784 and 5408.\nAnswer: 3780192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/11 and -11\/282970?\nAnswer: 3112670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/(-60))\/(8\/(-6))*(-14)\/35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let j(b) = 2 + 2*b + b**3 + l*b**3 - b**2 - 3*b. Suppose -28*f - 20 = -20. Calculate j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, -67, -174, -283, -394, -507, -622?\n\"Answer: -q**2 - 102*q + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {w: 2, n: 1, s: 5, x: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58465 + 4?\nAnswer: 58470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*b - 2\/21*b**2 + 0.\nAnswer: -2*b*(b + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5122 = -2*c, -2*g - 30*c = -26*c - 2564. Calculate the greatest common divisor of 120 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 38597697.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 258\/175 - (4 - 2). Let d = 6\/25 + r. Which is the closest to -2\/11? (a) -2\/5 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 868?\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -15. Find the second derivative of 7*h - 14*h + c*h**2 + 2*h**5 - 2*h**2 wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(6\/((-36)\/(-15)))*(-8955)\/(-15522)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Solve j*m + 13 = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1593 - 545. Let r = i - 729. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54405?\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r + 158*r**2 - 113*r + 106*r**2 - 82*r**2.\nAnswer: 182*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9055 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtuauaztaauuzuuuaz. What is prob of picking 1 z and 2 t?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 247 and 0.2.\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4760)\/85)\/(-224))\/((-1)\/80)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 713\/40 or -298?\nAnswer: 713\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211216 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81061 - 40527 - 5*y**2 - 40534.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/102634 and -51\/4.\nAnswer: 205268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71640 and 5572?\nAnswer: 501480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1635 + -1642. Let n(f) = 7*f**2 + 19*f + 15. Let o(z) = 4*z**2 + 10*z + 8. Let y(c) = 3*n(c) - 5*o(c). What is y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 12*l**2 - 12*l - 11. Let u be r(-11). Suppose c + x = -u*x + 39, 4*c - 158 = -2*x. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 7.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1961 and 3996.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 5, -1548, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 86.97264 * -3\nAnswer: -260.91792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkhkwkhkkynnyyhkykk. What is prob of sequence wwk?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -57.\nAnswer: -7\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*g - 2814 = 2550 + 3066 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a1 + 5?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4333*w + 8304*w - 4195*w - 18144 for w.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*6)\/(15\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159839859*t**2 - 8*t + 11*t - 159839909*t**2.\nAnswer: -50*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/3, -0.4, -1\/2, -1 in decreasing order.\nAnswer: -0.4, -1\/2, -1, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from yyeryyeyyywiyyyeiy.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sim when three letters picked without replacement from {v: 1, q: 1, s: 3, g: 1, i: 1, m: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 1. Let v(a) = -90*a + 24. Determine -2*c(s) - v(s).\nAnswer: 80*s - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:21 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -99390283.42 to the nearest 1000000.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-792)\/27)\/(-8) - 10\/6. Solve 37 = 5*u + 3*z, d*u + 4*z + 4 = 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*1*-1*9\/198. Let m = 12 + -3. Suppose 0 = 11*v - m*v. Which is greater: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 36348.\nAnswer: 181740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 231636131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400023 (base 6) in base 13?\nAnswer: 29529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-1 - 3 - (-10 - 19)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/5 + 1949*x**2\/5 - 273144*x\/5 = 0.\nAnswer: 0, 152, 1797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhhh when four letters picked without replacement from mmmmmhxmmxhxhmmmmm?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) + ((3*sqrt(2160) - sqrt(2160))*-2 - sqrt(2160)))\/((sqrt(48) - 5*sqrt(48))*-3 + sqrt(48) + sqrt(48)).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 7*h - 6. Let o(x) = -x**3 - 8*x**2 + 10*x + 14. Let a be o(-9). Suppose -2*g - 4 = 5*q - 0*q, 0 = a*g - q + 37. Calculate p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 1. Suppose 4*o - f = p, -3*o + 18*f - 16*f + 28 = 0. Solve o*j + 0*j + 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o + 30*o = 36. Let u be ((-9)\/o)\/(18\/(-66)*-1). Factor 9\/2*n**2 + 1 + u*n.\nAnswer: (n + 1)*(9*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let w(b) = -12*b + 35. Suppose 37 = -3*d + 22. Let f(j) = d*q(j) - w(j). Is 11 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1 - 3*k + 3*k**2 - 4*k**2 + 4. Let p(g) = -18*g - 4. Let a(y) = -5*y - 1. Let j(t) = -22*a(t) + 6*p(t). What is -6*j(x) - 4*w(x)?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**4\/12 + 8*r**3\/9 - 5*r**2\/2 + 268. Factor t(s).\nAnswer: -s*(s - 5)*(s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 28*o + 123 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 1, f: 1, j: 2}. What is prob of sequence fqj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*s = -2*u + 40, -3*u + 2*s = -26. Suppose -5*c + 5 = 3*b, b = -b - u. Suppose -c*i + 208 = 68. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.6. Let y = -9.7 - -8.7. What is the biggest value in -2\/5, y, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*s - 6*s. Suppose -2*u - 2*v = u + 14, s*u = 5*v + 12. Let x(i) = 2*i + 15. Let d be x(-7). Sort -5, u, d.\nAnswer: -5, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5175 and 1575.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 16*u**2 + 16*u - 24. Suppose 2*n - 21 = 4 + 5. What is j(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234815 and 77.\nAnswer: 2582965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (3 - 1 - 1) - (159 + -188)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132*n**2 + 3*n - 1214 wrt n.\nAnswer: -264*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/23 in -0.27, 5, -2, -467, 3?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.96 - -0.89. Let b = -2.6 - -2.3. What is the nearest to y in 3\/4, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 + -171. What is the least common multiple of t\/(-216) - (-508)\/18 and 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -29 - 15. What is the remainder when l is divided by (0 + 15)\/(-2 - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26298297 by 22.\nAnswer: -26298297\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 1. Let c be f(-6). Let d = c - 4. Suppose a = -2*x - 0*x + 14, -x + 7 = d*a. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 20375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 11*q**3\/6 + 2*q. Let b(n) = -n**2 - 3*n - 1. Let j be b(-2). List the prime factors of z(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 31. What is the least common multiple of 6 and q(9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/115, -537\/8, 1\/9, -2, -5 in descending order.\nAnswer: 1\/9, 2\/115, -2, -5, -537\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -112. Let g = u - 50. Suppose -g*v - 6 = -30. Solve x + v*x = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 17\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1827 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151601850?\nAnswer: 2, 3, 5, 29, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-863)\/6041)\/((-1)\/77)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 1\/2 (c) -11 (d) 58 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -734\/155?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175432 divided by -34.\nAnswer: -87716\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + 8 + -1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330099193 is divided by 13120?\nAnswer: 13113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 194*(-2*6\/12)\/(-2). What is the greatest common factor of 388 and c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1791101, -7164515, -16120205, -28658171, -44778413?\nAnswer: -64480931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cb1bff8 + -4?\nAnswer: cb1bff4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 o when four letters picked without replacement from {o: 6, a: 4}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 725764781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28786*t**2 - 16310*t**2 - 49 - 68725*t**2 + 47.\nAnswer: -113821*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1214884 (base 9) to base 13\nAnswer: 1a13a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-41)\/((-5740)\/(-660)) + (-1)\/(1\/(-5)). Which is bigger: 689 or y?\nAnswer: 689","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -126 - 5*c + 37 + 344. Let t be g(48). Calculate the greatest common factor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -320 - 18. Let g = b + -157. Solve 4*w = -0*w + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:09 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + 2 + 30 + (-71 - -28)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 2\/5 (b) -41 (c) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0996 + 0.1004. What is the closest to 0 in o, 13, 0.07, -0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 21 - 3. What is the remainder when 346\/10 - 10\/(-25) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488890368 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -448 + 452. Let l be (1 - (-1)\/(-2))*10. Suppose 3*v - 3*d - 19 = -8*d, -3*d = l*v - 5. Sort v, 3, c, 2 in ascending order.\nAnswer: v, 2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**6\/72 + 3*r**5\/4 + 95*r**4\/24 - 20*r**3 - r**2 + 49*r. Let c(z) be the second derivative of q(z). Factor c(f).\nAnswer: -5*(f - 19)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310310*d - 80847*d - 77699*d + 596407*d.\nAnswer: 748171*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 + 64*a**2\/13 + 360*a\/13 - 2592\/13.\nAnswer: 2*(a - 4)*(a + 18)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1095, 0, 1, -20, -4?\nAnswer: -0.1095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (1 - -8) - 1) + 43 - 13?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3259804 - 0.3267. Round u to 5 decimal places.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/24 - 17*v**3\/3 - 5*v**2. Let r be m(0). Let c = r + 127. What is the remainder when c is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4352083 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Let i be (-28)\/(-16) - 6\/f. Let l = -885 + 884. Is i greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n**2 - 47*n - 25. Calculate g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, w: 3}. What is prob of picking 1 a and 3 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7 + 0.3. Let y = 8 - v. Let a = 4 - y. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 17 - 5*m + 0*m**4 - m**4 + 8 + 3*m**4 + 3*m as t + y*m**3 + a*m**2 + u*m**4 + k*m and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/10)\/((-12)\/20). What is the nearest to 1 in -1\/8, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-660)\/(-33))\/((-2)\/(-2)))\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19900 or -19915?\nAnswer: -19915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.92 - 0.08. Let h = -0.04 + 4.04. Which is the second biggest value? (a) -0.1 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-344)\/5 - (-1)\/(-5). Let w = d + 346\/5. Are 0.17 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-3)*(-15)\/90?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05986 rounded to 2 decimal places?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v**2 - 58*v**2 - 15*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 599 + -405. What are the prime factors of r?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.01 (b) 5 (c) 25 (d) -6 (e) -2\/21 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 234222411 (base 5) to base 8\nAnswer: 4111035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 2246. List the prime factors of s(0).\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 12, 24, 36, 48, 60?\n\"Answer: 12*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91702989.6739 + -3903157.7521. Let x = q - -95606564.42600183. Let c = -417 + x. What is c rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -75, -214\/5, -3\/2?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1100) + 0)**2 - ((sqrt(1100) + -1 + 2)**2 + sqrt(1100) + sqrt(1100)).\nAnswer: -100*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdd when three letters picked without replacement from {j: 5, d: 8, q: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36885 - 36725. What is the lowest common multiple of 356 and n?\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 - 2*r + 1. What is o(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 117. Let d be ((-18)\/12 + y)*-104. Let l(a) = a**2 - 5*a + 7. Let k be l(6). Calculate the greatest common divisor of d and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2682 + 2684. Which is the third smallest value? (a) -1\/6 (b) -2 (c) -1\/8 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3397 + 4517. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 200*w**4 + 2545*w**3\/7 + 1389*w**2\/7 + 248*w\/7 + 4\/7 = 0?\nAnswer: -1, -2\/5, -1\/56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328*y**2 - 1449195 + 1449195)*(-5*y + 2*y**2 + 5*y).\nAnswer: 656*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*h = 0, 0 = -3*u + 5*h - 0*h. Let s(w) = w**3 - w**2 - 2 + 8 - 4*w**2 - w. Let v be s(5). Solve -m + v = -u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 22 + 9 + -19 - 21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5255734849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddkd when four letters picked without replacement from {k: 8, d: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22\/307 - -97231\/1228. Let g = i - 79. Solve 5\/4*f + g*f**2 - 1\/4*f**3 + 3\/4 = 0 for f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + 106173570 - (-18)\/3. Suppose -6*d = -2426411 - g. Round d to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22197 and 148029?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1080, -1068, -1046, -1008, -948, -860, -738, -576?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 3. Let x be 3 - 6 - (-1 - -1). Let r = x - -5. What is the units digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:52 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/6*4\/((-100)\/(-15)) and -47\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48693782 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965550 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 0.09. Which is smaller: y or 2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1\/26 (c) 57527 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*((sqrt(308)*2 - sqrt(308)) + sqrt(308)))\/(2*sqrt(567)) - (2*sqrt(1100)*4 + (2*sqrt(1100) + 2)**2)).\nAnswer: 478*sqrt(11)\/3 + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47959 at most as big as 2062184\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76043, -152105, -228167, -304229?\nAnswer: -380291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1377 + 1389. Suppose -2*o - 5*l = -74, -o + 31 = 4*l - 0*l. Calculate the remainder when o is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**3 + 250050*i**2 + 3125499840*i - 18762001920 = 0.\nAnswer: -25008, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -230?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k**2. Suppose -n - 44 = h - 43, 11 = h - 2*n. Let a(o) = 13*o**2 + o. Calculate h*a(p) + 2*y(p).\nAnswer: 13*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5881084 nanograms?\nAnswer: 0.0000000005881084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 2. Calculate the remainder when 51 is divided by h(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603 and 737.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8916580 + 8916580 + 4934*t to o + x*t and give x.\nAnswer: 4934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 9*o - 5. Let t be i(-7). Suppose t*w - 8*w = 2. Factor 2*v - 4*v + 6*v + v**w - 5*v.\nAnswer: v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 20 = -14*z, 5*w + 43 = 184*z - 179*z + 3 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(1 - -3) + -5. Let x = t - -14. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 100*k - 95*k - 24, 4*k = 3*v + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 91 in decreasing order.\nAnswer: 91, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.26 + 6.56. Let c = -1.91 + -0.09. Is p less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)*x*x**(-13\/5)*x*x*x*(x*(x\/(x*x**4))\/x)**(-2\/23) assuming x is positive.\nAnswer: x**(-604\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 492 = -4*v - 72, -4*v + 4*m = -456. Suppose -25 = -5*k + v. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163278 - 13521*a - 163278 to f*a + i and give f.\nAnswer: -13521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(4\/(-42))*40\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 68.047. Let h = -7.3127679 + 7.26577. Let y = h - z. Round y to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -22. Let v(g) = 3*g - 3*g + 2 + 0 - u*g. Calculate v(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - -4*(-6)\/8. Let o be q\/7*(6 + 1). Suppose -o*z + 90 = 20. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8585.467 - 8577. Round p to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132867751987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 956 - 673. Calculate the remainder when r is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-726)\/(-110))\/(979\/165 - 3)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 37. Let y(n) = -n**2 + 1. Let i be y(d). Sort -3, -4, i in ascending order.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10271 (base 9) to base 16\nAnswer: -1a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.353 + 0.053. Which is the second smallest value? (a) l (b) -5 (c) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-110)*(-18)\/(-21))\/(12\/1060).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 43*b - 3 + 0 + 324*b.\nAnswer: 281*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 200390944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -174*w + 154. Let k(c) = -35*c + 33. Let r(x) = 3*i(x) - 14*k(x). Let y(d) be the first derivative of 2*d**3\/3 - 1. What is r(y(g))?\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -3*u + 7*u - 4*m, -2*u + 4*m - 200 = 0. Let j = 1039\/10 + u. Let p = 1 + -0.8. Which is the third biggest value? (a) p (b) j (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/67, -188172, 2 in decreasing order.\nAnswer: 2, -2\/67, -188172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/11 + 280*c**3\/11 - 852*c**2\/11 + 856*c\/11 - 26 = 0.\nAnswer: -143, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 1. Let c(u) = -64*u + 127. Let q(n) = -22*n + 42. Let m(i) = -4*c(i) + 11*q(i). Let x(p) = 4*d(p) - m(p). What is the derivative of x(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 11*a - 17. Let u be i(9). Let q be (-2 + u)*(8 + -8). Suppose q = 2*b - 288 - 82. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-41*10\/30*-3. Suppose 90*d - 3328 = m*d. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x - 3*l, -6*x = -2*x - l + 12. Let t be (12 + x)*(-19)\/(-2). Suppose 0 = -5*k + 85 + t. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 142693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -40\/6753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287415523?\nAnswer: 373, 770551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23555 in 0.1, 1, -5, 0.5, -5\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188486483.\nAnswer: 3, 1213, 326597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*c, -114*c + 117*c + 15 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + b = 3*c, 3 = 3*c - 4*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 6*j**2 - 7*j - 1. Let p be t(4). Solve -p*i - n - 16 = 0, -i - 2*i + 3*n = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 336\/13? (a) 0.001 (b) -2\/5 (c) 1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*j - 2447422 = 1962074. What are the prime factors of j?\nAnswer: 2, 3, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-75))\/(183\/15 + -12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -90*o**2 + 9*o - 64. List the prime factors of s(-3).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 + -116. Suppose -4*c - 4 = 2*r, 4*r = 10*c - s*c + 22. Solve 1\/3 - 2\/3*f**2 + 1\/3*f**5 + 1\/3*f**r - 2\/3*f**3 + 1\/3*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.496 - 0.096. Let n = -3\/82 - 29\/328. What is the nearest to -2\/7 in n, 5, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 - 133*l + 23. Let x be y(0). Solve 0*m + 4*p - x = m, 5*m = 4*p - 35 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iciicicccftizefce. What is prob of picking 1 e and 3 i?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 137 + 5 = 160*f, -3*f - 922*o = -923*o - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 2. Let m = -7 - -11. Let w(d) = -5*d + 3. Let s(t) = 2*t - 1. Let x(y) = 9*s(y) + 4*w(y). Let h be x(m). Give f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 17. Let s be x(-17). Suppose -2*u = -2*f + 20, -f + s*f + 26 = -5*u. Suppose -25 = v - f*v. Solve -5*w = -30 + v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 557*c**2*k**2 + 2*c**2 - 2*c*k + 3*c - 31*k**2 wrt c.\nAnswer: 1114*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 608 = 23*z. Is z*((-1071)\/6 - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 p when three letters picked without replacement from ppppspspppsppppppp.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10147*f**5 + 3*f**3*u**3 - 2036*f**2*u**2 + 2*f*u**3 wrt f?\nAnswer: -608820*f**2 + 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 57*c**2 + 55*c + 499. What is p(-29)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:33 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwpfpfflwflw. Give prob of sequence wpf.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432090821*d**3 - 360537590*d wrt d.\nAnswer: 2592544926*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 137528*o + 93602424.\nAnswer: -2*(o - 69438)*(o + 674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0111*-0.12.\nAnswer: 0.001332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -773*b**3 + 222*b**2 - 1479*b + 17 wrt b.\nAnswer: -4638*b + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w**4 + 2*w**3 + 108968*w**2 - 108968*w**2 + 3*w - 8 in the form d + o*w**2 + t*w**3 + g*w**4 + j*w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212121210 (base 4) to base 2.\nAnswer: 100110011001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -67, 1\/4, 3, -1 in ascending order.\nAnswer: -67, -1, -0.5, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*p - 25 = 0, -3*p - 1 + 10 = 0. Let a be -2 + (s\/6)\/((-2)\/(-18)). Let k = a - 16. What is the greatest common factor of k and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 2:20 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4284 divided by -145\nAnswer: -4284\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/63829, -4, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 21*p - 1. Let d(n) = -3*n**2 - 14*n + 1. Determine 8*d(a) + 5*l(a).\nAnswer: a**2 - 7*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d - 1. Let n = -4 + 6. Let c be z(n). Let q = c - 8. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 3*b - 3*b)*((2 + 1 - 2)*(-1 - 2 + 1) - 4 + 3 - 1) to h*b + n and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 6*u**2 - 35*u - 151. Give g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -424 - 18. Let p = n + 442.446. Round p to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 50*m + 5. What is n(-16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 27, -3\/2, 3, -5\/3, 3.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/(-7)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -16840 (c) 82 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a - 2 + 3 + a**3 - 40*a**2 + 39*a**2.\nAnswer: (a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.912341 micrograms?\nAnswer: 0.000000006912341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 6\/((-60)\/(-55)). Let v be (22\/12)\/((-4)\/12). Let y = v - -6. Which is the third smallest value? (a) 0.2 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 806*s**3 - 218*s**2 + 217*s + 1. Does 62 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -16*b**2 + 3*b - 3. Let q(w) be the third derivative of -31*w**5\/60 + 5*w**4\/24 - 5*w**3\/6 - 409*w**2. Give 5*d(m) - 3*q(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101012 (base 4) in base 3?\nAnswer: -212222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.59364 * 4\nAnswer: -2.37456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -226 in -18\/7, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Let i be 2\/6*(-1 - -7). Suppose 2*r - 8 = 3*u, 5*r + 27 = -i*u + 2*r. What is the remainder when 10 is divided by o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 391 (b) 64 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30916 divided by 244?\nAnswer: 7729\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 65773032, 3 in descending order.\nAnswer: 65773032, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*a + 10*a - 9*a)*(2 - 6 + 2) in the form v*a + u and give v.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 2. Let w(p) = 3*p - 3. Let v be w(2). Let s(z) = -1. Let y(f) = v*s(f) + o(f). Let a(c) = -2*c**2 - 3*c - 5. Give a(j) - 4*y(j).\nAnswer: 2*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-2 + 0 + 1)*(149 - 93*p - 149)*(2*p**2 + 0*p**2 - 3*p**2).\nAnswer: 93*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 14, w: 1}. What is prob of picking 1 w and 3 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-155)\/620*((-320)\/172)\/(-5))\/(-2)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + b - b. Let x(k) be the second derivative of 0*k**2 + 0 + 1\/6*k**3 + k. Calculate a(x(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 9083 = 19*y - 12172. What is the remainder when y is divided by 97?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/9639 and 8\/34659.\nAnswer: 37119789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 7*c**2 + 3*c - 5. Suppose 2 - 6 = -2*h. Let a be 280\/45 + h\/(-9). Let g be b(a). Which is smaller: -22 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68\/23 + 363\/115. Let l(a) be the second derivative of 1\/3*a**4 - u*a**5 + 0*a**2 + 0*a**3 + 0 + 7*a. What is the third derivative of l(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.1, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + -2 + sqrt(475) + sqrt(475) + 0 + sqrt(2736).\nAnswer: -2 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/(-12))\/((-2)\/150). Suppose -16 = -4*r - 0*r. Suppose -130 = r*u + m. What is u rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1.637 (b) 1\/4 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/514 - 1035\/3598. Which is the third biggest value? (a) -0.5 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 308*s**2\/5 + 6164*s\/5 + 16 = 0?\nAnswer: -20, -1\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*j - 167*j = 90*j - 195 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 - y**2)*(-1 - 3 + 6 - 1 - 4 + 3 + (-2 + 4 + 0)*(-1 + 4 - 1)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {v: 5, w: 1, n: 6, m: 1, h: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 49*r**2 - 7*r + 52*r**2 - 100*r**2. Let c be k(-4). What is the highest common factor of c and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-64)\/2)\/(-10 - -9). Let q = 34 - h. Solve -8 = -2*t - q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7247 - -7221. Sort 26, n, 0, 4 in ascending order.\nAnswer: n, 0, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 36 = -9*o. Let l be (9\/o)\/(18\/(-96)). Let n be (-6)\/l + 113600036\/(-8) + 6. Round n to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206021, 205174, 204327?\nAnswer: 203480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110000 (base 2) to base 14\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let r = v - 0. Let x = -18 + 18. Sort x, 1, r in decreasing order.\nAnswer: r, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.95 - -0.45. Which is the nearest to -1? (a) 2\/13 (b) g (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luug when four letters picked without replacement from {l: 4, g: 3, u: 9}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 82*b + 134. Is 8 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q + 5*u = 260*q - 15, 2*q + 35 = -5*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 6) in base 14?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891 and 235719?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 1035 - 1035.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 6*v - 9. Let y be d(2). Sort y, -4, -9 in decreasing order.\nAnswer: -4, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-27)*405\/450. Factor 1\/5*i**2 - m + 0*i.\nAnswer: (i - 2)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64771, 64729, 64659, 64561, 64435, 64281?\n\"Answer: -14*m**2 + 64785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 0 + (-21 - -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**2 + 2*l**2 - 2*l**2)*(8 - 2 - 3) + (-4 + 4 - 2*l)*(-5*l + 3*l + 0*l))*(2*l**2 + 2*l**2 - 3*l**2).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1003*p**3 - 5*p + 5. Is r(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 21305280*l**2 - 383494068*l + 1725721848.\nAnswer: -4*(l - 5326302)*(l - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:20 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -392*m**3\/3 - 14*m**2\/3 + 20*m\/3 + 2\/3 = 0.\nAnswer: -1\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -82615957+-41.92254\nAnswer: -82615998.92254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.3231 and -1445?\nAnswer: 12026.8795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by -22.\nAnswer: 62\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010001111001001100 (base 2) to base 6.\nAnswer: -20450324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*u + 4 = 6*u, 3*z = 3*u + 18. Suppose -z*g - 4 = 5*p, -4 = p - 0. Suppose -4*i - g*x = -24, -2*i - 3*x + 1 + 15 = 0. Solve 3*c - 4 = i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965.5199 months in centuries?\nAnswer: 1.63793325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1639551*43.\nAnswer: 70500693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 394.8853t?\nAnswer: 394885300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + 82\/82\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 3. Let t = 45 + 200. Let u be 10\/((t\/(-14))\/(-7)). Calculate a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 6.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119617 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -410090 to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11052 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 + 20*o + 1. Let b be p(-3). Solve b = 11*h - 12*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 18 + 1)*(3*n - 11*n + 0*n)*(0*n + 0*n + 2*n).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 2*g - 6, -5*x = 4*g - 18. Is (x\/3)\/(6\/351) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 5. Let d(g) = 4*g + 4. Let a(b) = -6*d(b) + 5*i(b). Let m(q) = -9*q. Let n(h) = 9*h + 1. Let y(c) = -4*m(c) - 3*n(c). What is -5*a(z) - 2*y(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/4 - -1)\/(15\/(-620)) and 52\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6190207 + -11.235\nAnswer: -10.6159793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -91 (b) 1 (c) -0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 26*s**3 - 5*s)*(-3*s + s + 3*s)*(-54 + 54 + 8*s + (-s + s + 2*s)*(-1 + 4 - 1)).\nAnswer: -312*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72827\/84 - 867. Suppose -6*i - 3 - 3 = 0. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80547469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 459 - 98. Let p = u - 359. What is the biggest value in -1\/10, p, -0.15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heerhemraeameheheaaz. Give prob of sequence am.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 7)\/(1 + -2). Suppose 4*a - 3*l + 29 = k, 3*a - 4*l + 11 = -16. Let d = 2 - 1. What is the third smallest value in a, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3044*k**3 + 3062*k**3 - 388 + 4*k + 6*k - 5609*k**3 wrt k?\nAnswer: 2982*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45*(-72)\/3780)\/(9\/(-42)*-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702529.\nAnswer: 23, 79, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 + 6*x + 7. Let z be r(-5). Suppose 0 = -4*g + p - 2 + 24, z = -p. Let u = 1 - -8. Calculate the remainder when u is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 2. What is v(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -34. Let c be p\/22 - (-18)\/(-99). Suppose -3*a = -3*v - 0*v - 27, -c*a + 27 = -5*v. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 1729.8 (c) -4\/7 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/2)\/(-4))\/(14\/(1232\/(-8)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 56. Let o be 0 - x - -9 - 3. Suppose -13*w + o*w = -96. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 542059 and 16247?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (46\/55)\/(12\/30). Let v = 850\/33 - l. Calculate the common denominator of v and -59\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/81 and -19\/54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322103115 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254205 divided by 15?\nAnswer: 416947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 2. Let u(z) = 5*z + 5. Let k(p) = p + 1. Let b(n) = 4*k(n) - u(n). Let i be b(-3). Let w(l) = 2*l**2 - 3. Determine i*w(h) + 3*q(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -119, -109, -95, -77, -55, -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u - 94. Determine n(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7061044 by -1765261.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 b, and 1 f when four letters picked without replacement from bfkninbkbnnbnwnbn?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/32 + -309\/416. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098665 - -31.88?\nAnswer: -1098633.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i + 12. Give s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/77 and 53\/78757.\nAnswer: 866327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 815883 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1569*r - 7*r**2 - 1569*r - 21*r**2. Let g(y) = y**2 + 3*y - 3*y. Calculate g(p(i)).\nAnswer: 784*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*s - 142721, -5*s = -4*z + 12*z - 380652. What are the prime factors of z?\nAnswer: 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15588251, 15588250, 15588249?\n\"Answer: -b + 15588252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70497 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2*q**3\/3 + 38. Let v(w) = 7*w. Give u(v(y)).\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))**2*4*-2 + 1.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*b + 13046, b = -2*y - 3*b + 6526. Suppose 0 = -q + 3*q + 2, y = -2*r - 5*q. Let m = -938 - r. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106878 is divided by 53422?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 26493 - 26493 - 14*z**3 + (2*z**2 - z**2 - 9*z**2 - 3*z**2)*(3*z**2 + 0*z**2 - 5*z**2).\nAnswer: 26*z**4 - 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -4*3\/3. Suppose 3 + 3 = v*l. Suppose 52*n = 57*n - 85. Solve l*m = 3*b + 6, b - 2*b = -4*m + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 - -249. Let u = -12.00000175 - g. Round u to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*f - b, 4*f - 3*b + 774 - 797 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, g: 2, v: 2, q: 1, e: 1, k: 3}. What is prob of sequence kqe?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 3*d**3 - 3*d**2 - 10*d - 72 - 7*d**2 - d**3. Is 10 a factor of t(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:40 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 5*v = -4*i - 68, -5*v + 60 + 5 = -0*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 i when three letters picked without replacement from {w: 1, g: 2, i: 7, o: 1, b: 4}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11968 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 40 = -5*b, -5*k + 7 = 32*b - 35*b. Solve -2*c = -3*a + 14 - 7, -4*c - 15 = -k*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13)\/2301*-3)\/((-4)\/4))\/(-1)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3f04ae (base 16) to base 3\nAnswer: 21202211020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 834 and 133579?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 115386 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -19*o + 360000. Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Suppose 5*l - g = 5. Suppose -3*s + 7*s = 12. Solve -s*y + 11 = i, i + i = -l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 14 = -2*m, -2*b - 2*m + 16 = -0*m. Solve 29 = b*k - 4*i, k + 2*i = -2*i + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 8:57 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -3*d + 0*d**3 + 0*d**4 + 0*d**2 - 3 - 3\/5*d**5. What is the derivative of g(t) wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 54. Calculate the remainder when 17 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 4, 0 in decreasing order.\nAnswer: 4, 0, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 11768*w - 76 = 11770*w, 2*r = 4*w + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2524 is divided by 239.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -112 - (-11 - -1) - (-2 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkrjkjjj. What is prob of picking 4 j?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 2:55 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4391 - -4392.1. What is the nearest to 0 in x, -0.3, 4, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -30. Let q = 21.48 - -0.52. Let t = 0.3597 - 0.1597. Sort z, q, t in descending order.\nAnswer: q, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -378, 2, -5 in decreasing order.\nAnswer: 2, 0, -5, -6, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/11 - 32682*n\/11 + 56045780\/11 = 0. What is n?\nAnswer: -17906, 1565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**5 + 4*q**4 + 2*q**3 - 2*q**2 - q - 5. Let u(a) = -7*a**5 + 3*a**4 + 2*a**3 - 2*a**2 - a - 3. Let l(n) = 3*u(n) - 2*w(n). Solve l(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 1 + 6)*(0 + 0 - l) to the form q*l + w and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 454980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -3)\/((-1)\/(-1)). Suppose -1045 = -5*u - 5*p, 4*u - o*u + 215 = 3*p. What are the prime factors of u?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 570, 404, -106, -1152, -2926, -5620, -9426?\n\"Answer: -32*a**3 + 20*a**2 - 2*a + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 22*z + 1348. Determine l(-61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 7) + (-3 - -2) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c344 (base 13) in base 9?\nAnswer: 40838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 5:20 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/104 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 3}. Give prob of sequence mwmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55062 and 10458.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-6))\/((10600\/48)\/(-53)))\/((-27)\/435)?\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -1.2, 1\/2, 0.007, -1\/3, 750, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -293*m**4 + 12*m**2 - 3*m - 236. Let f(z) = 3222*z**4 - 136*z**2 + 34*z + 2596. Let b(q) = -6*f(q) - 68*g(q). Differentiate b(p) wrt p.\nAnswer: 2368*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2, 0 = 3*x + o - 10 - 0. Suppose w - 5 = -x. Which is greater: 1\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -546039.495.\nAnswer: -546039.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 22*c**2 - 23*c - 28. Calculate the smallest common multiple of t(-21) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*1)\/sqrt(8).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 23. Let m be -1 - (-2)\/o - (-931)\/38. What is the units digit of 16\/m*-3*(-34)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + f + 1, 4*g + 22 = -3*f + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6894 and -25\/16?\nAnswer: 55152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, -220, -100, -4, 62?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**(4\/21)))\/(b*b**(17\/3)\/b*b) assuming b is positive.\nAnswer: b**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = v + 30, -v + 0*d + 2*d = 25. Let i = 21 + v. Let o = 45 - 23. Calculate the remainder when o is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z - 1421 = 2*j, 4*j = -5*z + 1433. Suppose -z = -3*v + 348. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ca63 (base 14) to base 8.\nAnswer: 445317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15710)\/6284)\/(25\/12*2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250454 * -132.\nAnswer: 33059928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*x**3 - 542316*x**2 - 26974138*x.\nAnswer: 48*x - 1084632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 1656234?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/4 of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14118\/1196 + -1*5 + -3. Let o = -1171\/69 + y. Calculate the common denominator of o and -1\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1) + -5 + 2 + 2. Suppose -r = 16 - 21. Solve n*k = 7 - r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -34 + 4. Let i = -17 - -38. Let f = -15 + i. Solve 5*k + v = l, 5*l + f + 3 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126851 - -422260. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10114, 11915, 14914, 19105, 24482, 31039?\n\"Answer: -t**3 + 605*t**2 - 7*t + 9517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373 - 5608 + 1496 + 1370 + 31*f + 1368 + f.\nAnswer: 32*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/9))**(-5\/2)\/(u\/(u*u*u**(-6\/11)*u*u)*u*u**(1\/9)) assuming u is positive.\nAnswer: u**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from uwnvw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o + 10*o - 132 + 125 - 4*o - 4*o. Let w(h) = h**2 - 13*h + 8. What is 6*q(g) + 5*w(g)?\nAnswer: 5*g**2 + 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**3 + 2*p**3 - 9*p + 10*p**2 + 3*p**3 + 13. Let b(t) = 4*t - 51. Let z be b(15). List the prime factors of d(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:59 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l - 47*l**4 - 6*l**2 + 6576 - 2*l + 19*l**4 + 9*l**4 + 4*l with respect to l.\nAnswer: -76*l**3 - 12*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27612 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**7\/1050 - h**6\/200 + h**5\/300 + h**4\/40 - 12*h**2. Find t such that x(t) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 - 2834*o + 14109. Determine p(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 52255.87835 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 72*l**3 + 8*l - 8. Suppose 56 = 5*t - 4*a, 6*t - 4*a + 8 = 9*t. Let q(b) = 24*b**3 + 3*b - 3. What is t*q(w) - 3*z(w)?\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29869, -23790, -17711, -11632?\nAnswer: -5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -286 + 153a6?\nAnswer: 15120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7578000 by -24.\nAnswer: 315750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(-4 + (0 + sqrt(684))*1 + (sqrt(684) - (sqrt(684) + -1*sqrt(684)*5) - (-3 + sqrt(684)*1))) + 1)**2.\nAnswer: -769580 + 3600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35665696 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/(-14) - 4845\/(-3465) and -47\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(405) - -2*sqrt(405)) + -6*sqrt(405)*-1 + 4)**2.\nAnswer: 1296*sqrt(5) + 131236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-12)\/((v*(v*v**(-5))\/v)\/v*v*v\/v**0) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91646735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)*-5)\/((sqrt(72) - sqrt(72)*-2)\/sqrt(9)) + -3.\nAnswer: -10*sqrt(3)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11c (base 16) to base 6\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 931.7582 litres?\nAnswer: 931758.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 8:05 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Suppose 4 = w + 2*r - 9, 0 = l*w + 3*r - 27. Suppose w*s - 157 = -2*c, 4 = -3*c - c. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:33 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -12*t - 41. Let z be o(16). Let u = z - -157. Are -76 and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -45*(-10524)\/(-177). Let a = 2676 + d. Find the common denominator of ((-9)\/12)\/((-324)\/(-1248)) and a.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -199*i**3 + 1436*i**3 - 1744*i + 2075*i**3 + 208 - 1620*i**4 + 2534*i**2 + 775*i**2 - 329*i**2 = 0?\nAnswer: -1, 2\/9, 13\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 39*m = -32*m + 51129. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1110829551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -156*m + 4992. What is the remainder when b(11) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -109, -0.3, 0, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -66*g**2. Let c(r) be the first derivative of -3*r**2\/2 + 160. Give z(c(i)).\nAnswer: -594*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(448) + 1 + 1 + (sqrt(448) - (sqrt(448) + 1 + sqrt(448)))*-5 - (5 + (-5*(sqrt(7) + 1) - 3*sqrt(7)*-1)**2)).\nAnswer: -51 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*n - 23*n**2 + 42*n**2 - 22*n**2 + (4*n - 2*n + 0*n)*(2*n - 2 + 2) + 0 + 0 + n**2 - 6*n**2 - n**2 + n**2 to x + y*n + h*n**2 and give y.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g - 8. Let o(z) be the second derivative of 5*z**3\/2 + 17*z**2\/2 + z. Let k be -2*2*39\/(-12). Let v = -2 + 8. Determine k*m(w) + v*o(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 80 (b) -0.040649 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -2\/13897 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 3456)\/(-5 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.091967 and 132272?\nAnswer: 132271.908033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1887.\nAnswer: -9435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(-1 + 2 - 2) + 0 - 3 + 2)*(49*t**4 - 338*t**2 + 338*t**2 + (-2*t**3 + 0*t**3 + 0*t**3)*(-3*t + t + t)).\nAnswer: 51*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.673 - 0.973. What is the nearest to n in 12, -2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3947 is divided by 1964.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6311014.\nAnswer: 2, 97, 32531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 at most as big as 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, -0.01, 2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - t + 5, -3*f + 17 = 2*t + 7. What is the derivative of 3*d**3 + 0*d + 9 - 10 + f*d wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -158 (b) -2\/5 (c) 5 (d) -4\/973 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f + 19. Calculate x(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -3 - (3 - 2) - -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + 11)*335\/15. Suppose w*v - 69*v + 6 = 0. Find b such that 2\/3*b - 3*b**4 - 4\/3 - 7\/2*b**v + 17\/3*b**2 = 0.\nAnswer: -2, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17. Let z(f) = -f**3 + f**2 - 2. Let a be z(0). Let g be (-19)\/(-45) - a\/(-9). Are j and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.3. Put -4, h, 0 in ascending order.\nAnswer: -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 186?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 315982*y - 315987. Determine j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1797\/8 + 225. Let f = -1 + -3. Let h = -28012 - -28012.4. Which is the third biggest value? (a) h (b) j (c) -0.2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22012000201212 + 1222?\nAnswer: 22012000210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(-1004*b**3 - 171760*b + 171760*b)*(-b + 2*b - 3*b) to j*b**3 + m*b**2 + l*b + c*b**4 + u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/7)\/(3 - 80\/28). Let v(q) = 2*q**2. Let o be v(-3). Suppose d*g = o + 26. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let d be r(5). Suppose -3*u - d + 44 = 0. Solve 2*l = -3*l + f - u, 3*l + f + 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 71 + (71 - 11) - -10.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*a + 23*a + 33*a)*(-2 + 2 - 1).\nAnswer: -87*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 2484.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*v = 0, -3*v + 8 = 5*z - 26. Let y be 5\/8*-4*z\/(-10). Let a(t) = 12*t - 2. What is a(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 174. Let y = 73 + l. Sort -1, 2, y, -9 in increasing order.\nAnswer: -9, -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 + 39937*x = 0 for x.\nAnswer: -39937, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktntntktnttpttntt. What is prob of sequence kkp?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/9 + 4*r**3\/3 - 2*r**2 - 28*r\/9 = 0. What is r?\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482213 to the power of 1\/2, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2)*1 - (sqrt(2) + -5*(sqrt(2)*-2)**2).\nAnswer: -4*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 66770066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -93*w**4\/2 - 8*w - 31. Let v(n) = -n**2. What is m(v(l))?\nAnswer: -558*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5364 times -24\nAnswer: -128736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -1\/2, -99, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 28022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 619*v**3\/3 - 5*v**2 + 46*v - 1565. What is the second derivative of a(y) wrt y?\nAnswer: 1238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -94423317018 and -0.3.\nAnswer: -94423317018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911*c**2 - 679*c**2 + 1029*c**2.\nAnswer: -561*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-9 - -9 - -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105384 - 103276329\/980. Are 0 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-13773)\/2 + 0)*1780\/(-1335)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*q - 1 - 25*q - 45*q)*(-q + q + 2*q).\nAnswer: 14*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3346, 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.027 - -7.973. Sort 1\/7, -4, o.\nAnswer: -4, 1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7329469073.79 and -0.21.\nAnswer: -7329469074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/89, 3, -2, 4 in increasing order.\nAnswer: -2, 2\/89, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-3)*1\/(-2). Let v be (-362)\/22 + 17 - (-160)\/(-495). Which is the closest to t? (a) 3 (b) 1\/6 (c) v (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(2\/33)*w)\/w*w)\/(((w\/w**(10\/3))\/w)\/w)*w*w**(6\/11)*w*w\/(w\/w**(-4)) assuming w is positive.\nAnswer: w**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -8750614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 61 = 2*z + 107, -3*z = -6*o + 126 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(2\/15)*m**(8\/3)\/(m*(m*m**(-7))\/m) assuming m is positive.\nAnswer: m**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 328\/239 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 216 = -10*n. Let l = 3 + n. Solve 2*o + 8*q + l = 3*q, 5*o - q + 21 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -287. Calculate the common denominator of (4\/12*-2)\/(32\/p) and 20\/21.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 72.86 times -1.4\nAnswer: -102.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:16 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*(w\/(((((w**(6\/5)*w*w)\/w)\/w)\/w)\/w))\/w*w))*w*w*w\/(w**4\/w*w)*w)\/((w\/(w*(w\/(w*w*w*w**(2\/11)))\/w))\/w**(-2\/31)) assuming w is positive.\nAnswer: w**(-761\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) -0.2 (c) 2217 (d) 4\/3 (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 2*t**2 + 3 + 2*t + 2*t**4 - t**2 in the form z + v*t**2 + k*t**3 + y*t**4 + h*t and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/328 and -95\/6?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 63346938?\nAnswer: 126693876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 2*c + 46 + 11 + 5*c. Let v be g(-6). What is the greatest common factor of v and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2297572779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2. Is 21 a factor of (363\/3 - z) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 5:01 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*v = -217*v + 722 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12432 (base 15) to base 3.\nAnswer: 2222000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125380920 a multiple of 1790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k - 5. Let h = k + -4. Let b(u) = u + 145. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283 and 363337757.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 167\/11 - (-6)\/(-33). Calculate the greatest common factor of j and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 197, 420, 665, 926, 1197, 1472, 1745?\nAnswer: 2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/2, 4, 1, 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 207969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 144749720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4 + 129728*z**3 - 518936*z**2 + 518944*z = 0. Calculate z.\nAnswer: -64868, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (30\/2 - 12))\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/2240 - n**7\/280 + n**6\/10 - 7*n**5\/10 - 35*n**4\/24 + 17*n**2. Let v(c) be the second derivative of p(c). Factor v(w).\nAnswer: -3*(w - 2)**2*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/209, 30, -1.22?\nAnswer: -10\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 829660 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -946 divided by 1\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 48*m**2 - 65*m - 80. Is 15 a factor of f(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 2*v - 18, 17*v + 12 = 2*l + 20*v for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1850*n - 3641. Determine q(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 7*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8040\/36180)\/(100\/30*(-3)\/(30\/4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 1:44 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w + 6 = 0. Let p = -1 - -2. What is the units digit of w - (2\/p + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Let n be 0*3\/3 - -1. Suppose 5*h = -g + 15, -j*h + 11 = -g - n. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 370*a + 3383. Determine k(9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011001111 - -10000011001?\nAnswer: -1111010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 246*w**4 - 11*w**3 - 22*w**2 - 225. Let h(d) = -123*d**4 + 6*d**3 + 12*d**2 + 112. Let o(x) = 11*h(x) + 6*j(x). Differentiate o(c) wrt c.\nAnswer: 492*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14272701*u**3 - 1033550*u wrt u?\nAnswer: -85636206*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.048 + 29.952. Let h = -35 + l. Which is the third biggest value? (a) 1 (b) h (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*((sqrt(425) + -2)*4 + 2))**2)*-2*-2.\nAnswer: -3840*sqrt(17) + 109380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-48)*24\/(-14) + 24 + (-4642)\/154.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 10:40 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 + 0.5?\nAnswer: 1281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 2*r**2 - 4*r**2 + (2*r + 1 - 1)*(-23 + 21*r + 23) in the form p*r + x + d*r**2 and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3069\/7 - -438. Which is the third biggest value? (a) -5 (b) 3 (c) 1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70580 is divided by 13681.\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -338.71825 rounded to 1 decimal place?\nAnswer: -338.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 5. What is b(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Suppose 3*g - 7 = -1. Let b(m) be the first derivative of -4*m**2 + 2*m**2 - m**2 + 3 + 2*m**g. Calculate z(b(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 2*m + 4*m)*(407*m - 28953*m - 7784*m + 7421*m - 21698*m) to the form h*m**2 + v*m + l and give h.\nAnswer: -151821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 67 = -11. Suppose 5*b - 5*k = 20, -5*b = 4*k - 3*k - u. What is the highest common factor of b and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825, 839, 855, 867, 869, 855, 819, 755?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4558 or -31904\/7?\nAnswer: -31904\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oottxoxx. Give prob of sequence xox.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/25 (b) -3 (c) -3\/7 (d) -177 (e) 3 (f) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -v + 2*s, 3*v + 5*s - 5 = 0. Solve 3*w = 2*y + 3 + v, 0 = 5*y + 4*w - 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -533, -2, 5 in increasing order.\nAnswer: -533, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 148\/20 - (-3)\/5. Let s = n - 8. Let c = 17 - 11. Solve c*j - j + 25 = s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3*h**2\/2 - 140. Let a(d) = 2*d**2 + 26*d. Give a(t(v)).\nAnswer: 18*v**2 - 78*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/12)\/((-87)\/(-27)). Is i at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5, 6*j - 2 = j - 7*b + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243608 is divided by 383.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 11) in base 10?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (228\/(-28) + 8)\/(4\/14). What is the nearest to 0.4 in 0.7, -3\/8, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24426104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 365860028 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 106 + 32 + 36 + 57*r**3.\nAnswer: 57*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 20 + 160 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.4495 centimeters?\nAnswer: 54495000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 1, t: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -130 + 130 + (-1 - -5). Solve -28*r - m = -24*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471\/(-2)*350\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 = 6*q - 211 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 12*o**3 + 5*o**3 + 4*o**2 - o**3.\nAnswer: 16*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*u. Let a = u - 2. Let z be 3*(-4)\/5 - -2. Is a > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 556.1438 tonnes?\nAnswer: 556143.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(63 + 25 + 18)*(v**2 - 3*v**4 - v**2).\nAnswer: -318*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11201123 + 3323?\nAnswer: -11142300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 11:24 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 18*s**2 + 18*s + 19. Let a be 5\/(301\/133 - 2). Give t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226872032*x**5 - 187740*x**2 + 8*x - 17?\nAnswer: 13612321920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439723361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 28. Let p = 57 - w. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 60 = 6*z. Suppose -5*l + 6 = 2*m, 2*l + 4*m - z = -2*l. Solve l*v - v - 5*t = -13, 5 = 3*v - 2*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00425963 to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*n - 20 = 0, 0 = -7*o + 9*o - 4*n. Let w = 32 + -15. Calculate the remainder when w is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.77 - -2.87. Is -1\/14 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 383214 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-28))\/((-36)\/48)*-7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46366 and 4074?\nAnswer: 973686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - -4 - (15 - 2 - 13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868*s + 12992 = 462*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55.506 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13661.\nAnswer: 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 36 - (3 - -12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17410572 divided by -444?\nAnswer: -39213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - (-18 - (17 + -31) - (-13 - -16))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -24*a**2 - a - 1039. Let o(x) = 2*x. Give o(p(t)).\nAnswer: -48*t**2 - 2*t - 2078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7801 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n + 2. Find the third derivative of 1 - n*m**3 + 2*m**2 - 1 wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 18*n + 23. Let k(p) = -3*p**2 + 17*p + 24. Let h(y) = 3*c(y) - 4*k(y). What are the prime factors of h(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 2*g = 792. Let w = 21 + -35. Let u = -3 - w. Calculate the greatest common divisor of g and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151\/57 + 25\/19. Put 7, -4, n, -6 in ascending order.\nAnswer: -6, -4, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.922536 millimeters to kilometers.\nAnswer: 0.000003922536","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/473 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2761401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 256800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/63 + (-2)\/9. Let x = 159 - 171.6. Let o = -13 - x. Which is the nearest to 3\/5? (a) d (b) o (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 26*i**2 + 86*i + 10. Let f be n(-3). Let o(h) = -2*h**2 - 34*h - 66. Determine o(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (18 - (10 + 29)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.48 + -0.01691.\nAnswer: 18.46309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8567286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let t(g) = -97432*g**2. Calculate t(c(r)).\nAnswer: -97432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Let m = 299 - 300. What is the third smallest value in c, m, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/1680 + y**5\/60 + 10*y**2. Let a(u) be the third derivative of p(u). Let o(g) = -4*g - 3*g + 4*g. Give a(o(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -150 + aa0105?\nAnswer: a9bb75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3832678\/5 - -769333. Which is smaller: o or 2796?\nAnswer: 2796","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -0.04. Sort 0.2, 1, w, -1.\nAnswer: -1, w, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 38 + 22 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/38))**(-2\/33) assuming u is positive.\nAnswer: u**(-1\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 84.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1696606459 - -1696606397.82016532. Let r = n - -61.03483. Let x = r - -0.145. Round x to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2015 + 2528. Does 110 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -296530, 0.079, 0.1 in descending order.\nAnswer: 0.1, 0.079, -296530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 24. Calculate the remainder when 41 is divided by -4 + 8 - i - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 6328 = -112136. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 354956 and 134.\nAnswer: 23782052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1931 = -6*h - 257. What is the greatest common divisor of 31 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 267*a**5\/2 - 2397*a**4\/2 - 21681*a**3\/2 - 35463*a**2\/2 - 8403*a - 180 = 0?\nAnswer: -4, -1, -2\/89, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 338.442 meters?\nAnswer: 338442000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/9)*t)**(-20\/7)*t**(-14)*t\/t**2 assuming t is positive.\nAnswer: t**(-1205\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 15 - (28 + -24) - -29.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/5 - 110834*k**2\/5 - 306671680*k + 59969674752\/5 = 0. What is k?\nAnswer: -27728, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408047704?\nAnswer: 2, 241, 211643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 7. Suppose a = 2*a + p. Let x = 8 + a. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, 1\/3, 2\/5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 0.43. Let u = 0.3 - -3.7. Let l = 3.7 - u. Which is the third biggest value? (a) l (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*k - 8*k + 4*k)*(-3*k - 3 + 3) - 2*k**2 + 2*k**2 - 2*k**2)*(-35*k - 18*k + 17*k) in the form s*k + g*k**2 + u*k**3 + y and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -5. Let z(h) = h**3. Give z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 15*c - 400000. What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/6 + 103505\/381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 303 and 94233?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22026.\nAnswer: 2, 3, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/16*(-58 - 750). Solve -6*u = a - 77 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*i**5 + 96*i**4 + 1428*i**3 - 4512*i**2 + 576*i = 0. What is i?\nAnswer: -6, 0, 2\/15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 2203313110?\nAnswer: 2203313121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + 3.93. Let c = -4.1 + j. Is -2\/11 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 30 - 30 = 0. Suppose -z + p + 2*p = 14, -3*p + 46 = -5*z. Let c = 25 + z. Solve v*y - c = 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*g - 3. Suppose 3*s - 2 = 1. Let u = -1 + s. Solve u = -o + 4*o - g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300 - -306. Let f be 10 + (-18 + j)\/4. Solve 0 = -8*i - f - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v - 7. Let a be b(-1). Let u be 4 + 0 + -8 - (a - 5). Suppose 3*i = -4*p - u*p + 240, 0 = -5*p + i + 300. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -199*m + 202*m - 9. Calculate the common denominator of (-1586)\/280 + m\/((-168)\/16) and -17\/214.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -2313216?\nAnswer: 2313236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 10*p + 8. Let w be ((-24)\/14)\/(10\/(-35)). Let x be c(w). What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 46*g**2 + 2. Give v(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose 0 = -v*s + 7 + 11. What is the highest common factor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d**3 + 75*d**2 + 15*d - 1421. Let g(s) = -2*s**3 + 10*s**2 + 2*s - 203. What is 15*g(k) - 2*n(k)?\nAnswer: -4*k**3 - 203","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7641\/3 + 5 - 0 - (2 + 2) is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v**2)\/v)*v)\/(v**(-12)*v))\/(v**(7\/3)\/v**22) assuming v is positive.\nAnswer: v**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - t + 43696 = 43700, 7*g - 3*t = -8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 9 = -19*k. Suppose -5*p + 4 - 19 = 0. Is p at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055 = 4*u - 1645. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28\/85 - -6\/85. Is 0.524 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1011001111000000101110001?\nAnswer: -1011001111000000101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -387 - -384. Which is smaller: 40 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*j = -7*j + 28, 16 = 4*j. Suppose 5*u - b = u. Let d(y) = -y**3 + 29*y**2 - 168*y + 4. What is the smallest common multiple of d(21) and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1239, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 5*c - 9, 4*p + 4*c = 36. What are the prime factors of ((-412)\/p)\/(909\/(-81) + 11)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 44. Let m = 16 - 13. Sort -1\/11, 1\/4, m, h in increasing order.\nAnswer: -1\/11, 1\/4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029108 = 101*c + 96*c - 98717. Calculate the highest common divisor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20015\/8 + 2512. Find the common denominator of x and (-1 + 4)\/12*3\/15.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**3 + 2*c - 1. Let h be (-9)\/12 - (-180)\/48. Let u(f) = -f**3 - 1. Determine h*u(l) - d(l).\nAnswer: l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 108193 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.046 and -30428.\nAnswer: -1399.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.288736198 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812 less than -10977?\nAnswer: -12789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.4 - -0.6. Let s = t - 9.00012. What is s rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, k: 9}. Give prob of sequence kkk.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-7)*i**(-1\/16)*(i\/i**(7\/5))**32 assuming i is positive.\nAnswer: i**(-389\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mummu. What is prob of sequence uu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 481*q - 54675. What is u(95)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 206876, 206847, 206812, 206777, 206748, 206731?\n\"Answer: m**3 - 9*m**2 - 9*m + 206893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/4 (c) 2 (d) 6\/5 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 959*b**2 - 4*b**4 + 24*b**3 - 1027*b**2 + 32*b + 16*b**3.\nAnswer: -4*b*(b - 8)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 9. What is the smallest common multiple of 20\/(-90) + 20\/9 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Solve 5*k = j + 10, -n*k = -3*j - 0 + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 30 = 78 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 6*v**2 - 2*v**2)*(-8 - 5 + 4).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158347102 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-135))\/(64\/12*(-2)\/12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101011000110 (base 2) to base 3\nAnswer: 10210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81984 is divided by 1604?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9474?\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 14, j: 1, q: 2}. Give prob of picking 1 d and 1 j.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4382656735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.309 + 5.909. What is the closest to 3 in -3, -32, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -3. Let d(f) = 102*f - 411. Let p be d(18). Suppose 0 = -58*y + 43*y + p. Calculate the remainder when y is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:44 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -29 in ascending order.\nAnswer: -29, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(7623))\/(sqrt(9) - (sqrt(45)*-4)\/sqrt(5)))**2*-3.\nAnswer: -22869\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 = -6*p + 4786. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33648 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*u + 28 = -70*u + 69*u, -m - 7 = 3*u for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5574 (base 9) to base 7\nAnswer: -15001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {i: 5, x: 4, m: 2, h: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895 is divided by 268?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + -0.25. Let k = -0.18 - v. Let t = k - 0.01. Which is greater: t or -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3613246549.\nAnswer: 11, 19, 857, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 183155305.8133?\nAnswer: -183155305.4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32259434 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -99. Calculate the remainder when 16\/n + 2*(-62)\/(-3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and ((-828)\/(-368))\/((-9)\/(-4764))?\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 13 - 7*u - 8*u + 33. Let d be c(-14). Suppose -l + d = l. Solve 3*j + 5*f - l = 0, -4*j - 4*f + 22 = 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (2 - (-3 - -9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -52. Suppose 0 = h + 2*h - r. Solve -h = -3*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3413 - 2503*l + 963 - 839 with respect to l.\nAnswer: -2503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 - 2*p. Let t = -73 + 60. Let r(b) = 27*b**2 + 2*b. Let l(a) = -56*a**2 - 5*a. Let y(n) = t*r(n) - 6*l(n). Calculate 9*g(w) + 4*y(w).\nAnswer: 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 2, e: 1, r: 1}. Give prob of sequence eqri.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108432.08099919 - -108430.781. Let h = -1.3 - m. Round h to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0, -21.8, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 3*b**2 - b + 2. Let s be p(2). Suppose 0 = -2*y + s*h + 32, 2*y - 4*h - 35 = h. Find t such that -3 - 2*t + y*t**2 - 8*t**3 + 3 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18317*d + 18298*d - 4*t + 31, 5*d = 3*t - 81 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321312 - 12?\nAnswer: 321300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6)*(-47168)\/3685?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24110 (base 6) to base 13\nAnswer: -1791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 196774 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -454 - 19?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.7496 to 1 dp.\nAnswer: -123.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(28) + -1*sqrt(700) + 2)*4*6.\nAnswer: -192*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -37.9 and -49.\nAnswer: -86.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 1722*o + 0*o**2 - 6*o**2 + o**2.\nAnswer: -9*o**2 - 1722*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = 32*x - 2070. What is the highest common factor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 - 3862*f**2 - 54065*f\/7 - 27032\/7.\nAnswer: -(f + 1)**2*(f + 27032)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-192)\/(-6))\/(-4) + 13. Suppose -s*g + 3*i + 1916 = 0, 48*g + 1528 = 52*g - 4*i. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/4))**50*(z*z**4*z)\/(z**(-2\/7)\/z))**1 assuming z is positive.\nAnswer: z**(977\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (1 + 2 - 5)*(1 + 0 - 3) + 0 - 4 + 5 - 5 + 0 + 3 - 11 - 100 + 49)*(5*a - 3*a - 3*a).\nAnswer: 61*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or -49362?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 10 = 5*i, 4*x + 3*i = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 5013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70459108*v**2 + 70459108*v**2 + v - 1 + 502*v**3.\nAnswer: 502*v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -862*n**3 - 988*n**2 + 1070. Find the second derivative of c(m) wrt m.\nAnswer: -5172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13430 (base 14) in base 15?\nAnswer: e0ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-7434)\/(-162) + -26\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47318 times 1486?\nAnswer: -70314548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1880)\/180)\/((220\/528)\/((-30)\/16))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + h + h - 3)*(0*h + 20*h**2 + 2*h - 29*h**2 + 2).\nAnswer: -18*h**3 + 22*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.231 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 + u**3 - 168 + u**2 - 3*u**2 + 172 in the form y*u**3 + v + i*u**4 + x*u + w*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5730046.334 to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -1 (c) -0.5 (d) -328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minus -0.8175578?\nAnswer: 36.8175578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*l + 2. Suppose -6*m + 2*j + 122 = -m, -3*m + l*j = -66. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 938.1 + -1141. Let p = j - -203. Put -3, -3\/5, -0.5, p in increasing order.\nAnswer: -3, -3\/5, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51367b + -26?\nAnswer: 513655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*7*(-12)\/1050*8*(-15)\/(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a - 7. Determine v(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357895469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 1. Calculate b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**3\/3 + o**2\/2 + 28*o - 6. Is f(0) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4011000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let o(f) = -f**2 + 4*f. Give -2*o(m) - 5*p(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/60 + j**5\/15 + 17*j**4\/24 + 7*j**3\/6 + 81*j**2. Is h(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 80\/3*r - 10*r**3 - 4\/3*r**4 - 14*r**2 = 0. What is r?\nAnswer: -4, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqwq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 3*o**3)*(3 + 2*o**2 - 3) - 1725*o + 70*o**5 + 1725*o.\nAnswer: 76*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.069, 0?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -946\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -140*v**4 - 48506924*v**3 + 95628348*v**2 - 45735364*v - 1385920 = 0?\nAnswer: -346480, -1\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 + 2*x + 4. Let p be a(-2). Let u(c) = c**3 - 12*c**2 - 14*c - 23. Let m be u(p). Let b = -190 + m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 0*b**2 + 0*b**2)*(-25 - 15 + 75)*(-2 + 3 - 4).\nAnswer: 210*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 12 + -26 - -10 - 14\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3262 and 11697.\nAnswer: -38155614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17616093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*n - n**3 + 492*n - 225*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219462498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 5. Let p = -13\/2 + 7. Which is the closest to -2\/5? (a) p (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (-6)\/3 + 0. Let z = t + 63. Calculate the remainder when z is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2\/17, 1\/6, -3, -18, 1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -20*t**2 + 12*t - 395. Let r(q) = -43*q**2 + 26*q - 793. Let g(v) = -6*r(v) + 13*x(v). Let c(d) = -2*d**2. Determine c(g(s)).\nAnswer: -8*s**4 - 3016*s**2 - 284258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - 15\/9*1782\/270. Let h(i) = -10*i**2 + 166*i. Let r(d) = 2*d**2 - 33*d. What is z*r(l) - 3*h(l)?\nAnswer: -2*l**2 + 30*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26d0db (base 14) in base 8?\nAnswer: -5075071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30527710, -0.5, 5\/2 in descending order.\nAnswer: 30527710, 5\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (0 - -6))*1. Is (-93)\/(-7) - 2\/y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78\/5 + 566\/35. Let r = -0.044 - 0.016. Let n = r + -0.94. Which is the nearest to n? (a) -2 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o - 3*o - 7905 = 0. Let m = 182 - o. List the prime factors of m.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -72422*w**2 - 444*w + 3938. Let t(k) = -5571*k**2 - 35*k + 303. Let x(q) = 3*p(q) - 38*t(q). What is the second derivative of x(z) wrt z?\nAnswer: -11136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*c = -50, -34 = -s - 2*c + 24. What is the remainder when s is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/6039 or -1?\nAnswer: -2\/6039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*-1 + sqrt(95))*1)\/sqrt(5).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 - (6 + -1). Let a = i - -3. Let n be -9*(-1)\/a*-2. Solve 30 = -2*y + 5*h, 2*h - n = y + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*d + 338 - 373, 5*f = -4*d - 61 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yixi when four letters picked without replacement from {x: 1, z: 12, y: 3, i: 4}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, -5, -1 in decreasing order.\nAnswer: 19, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2992 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10)*(-5)\/(-14))\/(14 - (-2958)\/(-204))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**4 - 3*p**2 - 3*p + 3. Let d(h) = -3*h**4 - 7*h**2 - 7*h + 6. Let y(t) = 7*a(t) - 3*d(t). What is the derivative of y(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167 + -341\/2. Let p be (((-6153)\/228)\/(-7))\/(-10). Let c = -1\/95 - p. Calculate the common denominator of c and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*o - 10797*o**2 + 37*o + 10773*o**2 - 7217*o**3 - 1009*o**3 wrt o.\nAnswer: -49356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeekeeeeexkxeeexxxe. Give prob of picking 2 k and 1 e.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109.9 - 123. Let t = -13 - q. Let c = 0.2 - t. Which is smaller: c or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6917 - 6521. What is the least common multiple of 288 and u?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07523884445 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 13 + 27. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531.6476 minus -254746?\nAnswer: 254214.3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0451077 * 8\nAnswer: 0.3608616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) 0.1 (c) 43 (d) 0.2 (e) 477\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 4, 2, -12, -44, -100, -186, -308?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 4, -3\/7, 2\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*n = 0, n = 3*x + 2*x - 16. Let m be 6 + (-3 - -1) - x. Let q be (-36)\/21*-1*7 - m. Solve -2*k - k = -q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -984 - -4919\/5. Let j = 2.96 + -3. Let v = 0.26 - j. Which is the third smallest value? (a) i (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*f**5 + 44*f**4 + 880*f**2 + 2*f wrt f?\nAnswer: -1500*f**2 + 1056*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) 7 (b) -4 (c) 2 (d) 15391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**3 + 12*g**2 + 130*g**3 + 258*g**3.\nAnswer: 361*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 7*j - 5. Let u = -7 - -10. Suppose 0*w - 39 = -u*w. Suppose w + 2 = 3*a. Calculate p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993986507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26102 and -5.\nAnswer: -130510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 - 54\/10. Which is bigger: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200 - 10021201210?\nAnswer: -10021212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 13*c - 41. Calculate k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1647.94 - 1663. Let f = i - -16. Let g = -1.96 + f. Round g to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (-4*5*((sqrt(448) - -2*sqrt(448)) + sqrt(448)) - (sqrt(448) + -2*sqrt(448)*2)*6) + -2)**2.\nAnswer: 992*sqrt(7) + 1722113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/9303385 and -57\/11270.\nAnswer: 18606770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1036 = 3*t. Let x(k) = 11*k**2 - 29*k + 2. Let j be x(3). Calculate the greatest common factor of t and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34692)\/539)\/59*(-3)\/36?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 379 - 353. Suppose w*l - 3451 = 865. What are the prime factors of l?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4629 + -3?\nAnswer: 4626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.3 + 35. What is the biggest value in l, -1.13, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q + 5*l, 5*q - 2*l + 0*l = 11. Let j be (2 + -2)*(2 - q). Let s = 15 - j. What is the remainder when 59 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 4 (c) 45\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00614275 to four dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145673574 and 325950.\nAnswer: 13038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71756966 and 2.\nAnswer: 143513932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1957 and 101425439?\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3578497797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n - 5. Let y(t) = 100*t + 45. Let q(j) = 55*v(j) + 6*y(j). Let c = -44 + 55. What is the remainder when q(-5) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2362284*d - 4724574. Determine u(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - i - 1. Let j be f(1). Suppose p = 3*c - 1, -5*p + 2*c + 22 - j = 0. Solve -5*o = -0*o + p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*a - 321, 10*a + 8 = 14*a. Suppose -4*w = 3*c - 6, w + c - 2 = -2*w. Suppose -5*z + 370 - k = w. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 8:39 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22c405 (base 16) in base 3?\nAnswer: -11021202101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -55*w**3 - 85. Let m(v) = -3*v**3 + 5*v**3 - 1679 - 52*v**2 + 1685. Let o be m(26). Let d(j) = 2*j**3 + 3. Give o*r(n) + 170*d(n).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 270, -5\/4?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387968 to the power of 1\/2, to the nearest integer?\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3795\/396)\/(-45*26\/(-1404)).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-45) - 7\/18. Put 2, 0, k in increasing order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:34 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:27 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 6. Let p be v(-3). Suppose 10 + 23 = -11*c. Let u be c + 6 + p - -90. What is u rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 - 4 - (-106 + 93 + (5 - -1)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84112708 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1412.\nAnswer: -282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166539 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 + -1)*26\/657 and -38\/5.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3148*f**2 + 1061*f**2 + 1054*f**2 + 1053*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 7*r + 5. Let n be h(-5). Suppose 4*v - n = -v. Is 273\/v - (-6)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 47 = -41*p + 78. Suppose -2*j + 7 - 13 = 0. Sort p, j, -13.\nAnswer: -13, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**3 + 2*d - 6*d**3 - 2*d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -133?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/28 + 2\/(-7). Suppose m = -5*r + 4*s + 44, -r - s = 2*r - 40. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u + 50. What is the remainder when u is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q + 11. Let k be x(-7). Let p = 15 + -49. Let o = k + p. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1582416 by -972.\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 40 = -5*g, -10*j - 4*g + 4 = -7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.5589 decades in millennia?\nAnswer: 4.925589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5)*3 - ((sqrt(5) - sqrt(125)) + 0))**2*2 + -5.\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 43266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.2 + -48.2. Let p = r - -42.2. What is the nearest to -0.1 in p, -2, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27616602?\nAnswer: 2, 3, 13, 17, 59, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20233 divided by -1\nAnswer: -20233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/((-17)\/18360*-48)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.79 - -1.7. Let q = -0.19 - t. Let u be ((-22)\/44)\/((-5)\/(-6)). Which is the nearest to 1? (a) q (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a**3 - 28*a**2 - 165*a - 210. Give k(-2).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/704)\/(52\/(-143)*3\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 16. What is the second biggest value in x, -6, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 16. Let i be l(-17). Solve 0 = -2*j + 5*y - 8, -6*j = -j - 2*y - i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 4*u**2 + 3*u + 3. Let b be n(-3). Let g = 6 - b. Let j = 15 - g. Calculate the greatest common factor of j and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, e: 5, t: 2}. What is prob of picking 1 r, 2 t, and 1 e?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.0354 centuries in years?\nAnswer: 41203.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(21 - 21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 25. Suppose i = m*a + 6, 5*a + 3*i = -0 - 16. Let l be a\/7 - (-20)\/(-175). Put -2, l, 3\/2 in increasing order.\nAnswer: -2, l, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (-8)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71\/12 + 1231\/204. Let w = -1.9 - -2. Let s = -0.1 + w. What is the closest to -0.1 in -1\/3, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5091*v - 1. Suppose -4 = -l + 7. Let j be d(l). What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1576.445 + -1519.\nAnswer: -3095.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-8 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68697865 to the power of 1\/2, to the nearest integer?\nAnswer: 8288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -26807868700 to the nearest one million.\nAnswer: -26808000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 4, -145*n + 4*j = -254*n + 106*n + 2*j + 3*j + 122 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-60)\/(-16)))\/((-14)\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 5*w - 66. Suppose -5*h + 1810 = -w*h. What is h rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22903301 is divided by 177.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -494.3 + 494. Let r = -253 - -253.2. Sort b, -4, r, 2\/7 in decreasing order.\nAnswer: 2\/7, r, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/26 in 0.2, 3.8, 36\/11, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 11. Let y be f(0). What is the tens digit of -3 - -5 - -1 - y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 17. Let z be h(-5). Let i(x) = -10*x - 4. What is the least common multiple of 10 and i(z)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10728 is divided by 83?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 178*f - 213*f. Solve 25 = 5*q, 7 = 2*l - q + f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/(-43) - 3\/((-5)\/(200\/6))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 1. Let b = 9 - 13. Suppose 3*v + 2 = -1. What is the closest to v in b, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80119020 rounded to the nearest one hundred thousand?\nAnswer: -80100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/12 - 13*z**3\/3 + 4*z**2. What is the derivative of o(d) wrt d?\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 25*v**2 + 966*v - 24610. Calculate c(27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1836 + w - 1906 + 4751 as p + d*w and give p.\nAnswer: 1009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l)\/l**10 assuming l is positive.\nAnswer: l**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*l**2*m*r - 49*l**2 - 20*l*m*r**2 + 201*l*m - 3*m*r**2 wrt r?\nAnswer: -8*l**2*m - 40*l*m*r - 6*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfqwqdwqwfr. Give prob of sequence qfw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.1 - 14. Which is the nearest to 0? (a) -1 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(12)\/sqrt(3))\/sqrt(2) - sqrt(12)\/(-2*sqrt(6)) - (1*(sqrt(200) + sqrt(200)*-2) - sqrt(200)))*-1 + -5)**2.\nAnswer: 344*sqrt(2) + 1977\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/25407744 and -121\/44463552.\nAnswer: 177854208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n = 8. Let y be 12\/66*(-921)\/n. Let m = -42 - y. Find the common denominator of m and 1\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -551\/2 + 283. Let y = q - 8. Which is smaller: y or 8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 111252?\nAnswer: 333756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2201 = -41*s + 4154. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*-1)**2 + sqrt(272) + 5 + sqrt(136)\/(sqrt(64)\/sqrt(32) + sqrt(8)))*-3.\nAnswer: -831 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-60) - 27\/(-45)) + -1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2303 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 2*a**2 + a + 8*a**2 - a.\nAnswer: 10*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 7154338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820412?\nAnswer: 2, 205103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*(y*y*y**(-1\/49)*y*y)\/y)))\/(y\/(y*y**(-8)))*(y**(3\/8))**(-3\/14) assuming y is positive.\nAnswer: y**(-2431\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42167 and 1937.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2840*k**2*p - 13*k**2 + 24*k*p - 818*k - 2*p + 2 wrt k?\nAnswer: 5680*p - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 - -2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/153 + 4 + -4 + 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnhmnnhnmhh. What is prob of sequence nmmh?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 437?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.01*-194.\nAnswer: 583.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*p**4 - 1052*p**2 + 2*p + 40761?\nAnswer: 24*p**3 - 2104*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-2)))**(9\/7))**(-32)\/((b**(-2\/7)*b**(-7)\/b)\/(b**6\/b*b\/b**(3\/7)*b)) assuming b is positive.\nAnswer: b**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f**2 + 258*f - 477 = 0. What is f?\nAnswer: 3, 53\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -4 (c) -431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0168 * -978.28.\nAnswer: 16.435104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbjabjjajbkbe. Give prob of sequence ke.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*h**5 + 74288*h**4\/3 - 229132*h**3\/3 - 321416*h**2\/3 + 421312*h\/3 - 32384 = 0.\nAnswer: -22\/13, 1\/3, 3\/5, 4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -15. What is the greatest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 4*l - 2*l + (1 + 2 - 4)*(8*l - l - 20*l))*(-l + 10 - 10) - 3*l**2 + l - l to d*l + q*l**2 + a and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - -16. Let g = -99 + t. Let i = g - -34. Is i less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.695 plus 51809455.5?\nAnswer: 51809496.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 - 13*n - 2. Let p(a) = -4*a**3 - a**2 - 5*a - 3. Let t be p(-1). Let u be d(t). Solve -6*g + 2 = u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 7*i - 2. Let o be x(-5). Let l = -8 - o. Suppose l*v - v - 9 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -21. Suppose 0 = -4*o + 2*o + 3*d + 2, g = -5*o - 4*d + 28. Is o smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (350\/6 - 9)*6\/4. What is the greatest common divisor of 333 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 42*t = g + 22*t + 183, 0 = 6*g - 7*t - 234 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 1 - 1)*((3*d**2 - d**2 - d**2)*(4*d**2 + 0*d**2 - 2*d**2) + 0*d**4 + 0*d**4 - d**4 - d**4 - 2*d**4 + 4*d**4 - 283*d**3 + 283*d**3 - 164*d**4).\nAnswer: 162*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l = 3*l - 168. Determine b so that -27*b**3 - 26*b**4 - 10*b**4 - 3*b**5 + 18*b**l - 12*b**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436357325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27*p - 19. Suppose -20*d = -23*d + 8 + 31. Let w(i) = -13*i - 9. Calculate d*w(f) - 6*a(f).\nAnswer: -7*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-11)*g*g)**(-45)*(g*g*g**(2\/31)*g)**(3\/23) assuming g is positive.\nAnswer: g**(-448905\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + 26 + (20 - 45 - 10)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111.9 + -147. Let l = -29.7 - 5.3. Let k = l - c. Sort -1, k, -3, -0.13 in ascending order.\nAnswer: -3, -1, -0.13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4\/(-1) - (4 + -948 + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -2 + (87 - 20) + -30?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3297*m**2 - 1. Let k(z) = z**2. Calculate k(u(d)).\nAnswer: 10870209*d**4 - 6594*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79366*r**3 + 5*r - 26455*r**3 - 26463*r**3 - r - 3*r - 26454*r**3.\nAnswer: -6*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = -0*f - 1449. Suppose 0 = 13*r - f + 24. Which is the second biggest value? (a) -8\/3 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 132 = -12*p. Suppose -2*n + r + 5 - 14 = 0, 2*r - 12 = 3*n. Let i = n - p. Let l(w) = -w**3 + 7*w**2 - 5*w - 3. What is l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-36))\/(5\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 5*f - 81, 129144*f - 21 = -u + 129143*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/168 and -61\/5270.\nAnswer: 442680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 2. Let h be a(0). Let q be (-8)\/14 + (-1235)\/(-91). Suppose -4*r = -q*r - 45. Sort h, 0, r in decreasing order.\nAnswer: h, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9634, 9673, 9756, 9907, 10150, 10509, 11008?\nAnswer: 11671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 23 - t - 23. Let y(s) = 29*s. Calculate x(y(h)).\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51502062 to the nearest integer?\nAnswer: 7176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/sqrt(5)*4 + 6*(1 + sqrt(17) + sqrt(17)))**2 - (-2 + sqrt(612) + 0 + 2*sqrt(612)*4)) + 1.\nAnswer: 138*sqrt(17) + 4391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6040008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10475 - 10486. Put 8, -9, 4, t in decreasing order.\nAnswer: 8, 4, -9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35429*n**4 + 9*n + 807957.\nAnswer: 141716*n**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 712 - 737 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1345\/3766*(-3)\/((-300)\/14))\/((-11)\/(-66))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -5*a + 105, a - 18 = 3*n. Let s be (-7)\/((-70)\/8)*20. Suppose -s*p + a*p = 335. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-20))\/(19 + (-2562)\/(-735)*-7))\/1.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5482 - 87811\/16. What is the common denominator of -37\/2 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (230\/(-3))\/(36\/(-378))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -7 (c) 0.081 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -200, -411, -636, -875, -1128?\n\"Answer: -7*s**2 - 190*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24892962617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1972*n + 4579. Is g(45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10*d**3 + 297*d**2 - 21*d + 38. Is w(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -13. Suppose x - 5*u = j + 52, -3*x - u = -113. Let f = 4425 + -4412. What is the highest common divisor of x and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f + 20. Let o(s) = -14*s + 19. Give 6*l(q) - 5*o(q).\nAnswer: -2*q + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:55 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/507 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429905, 859673, 1289451, 1719239, 2149037?\nAnswer: 2578845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 11 = -4*w - 10, 0 = 4*w + 3*l + 31. Suppose -4*i + d - 3*d = -42, 0 = 5*i - 2*d - 48. Let x be (-2)\/(1 + (-15)\/i). Sort w, 2, x in ascending order.\nAnswer: w, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (16 + -24 - 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Is 2\/25 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/7)\/12)\/(((-65)\/20)\/(-13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/475 and 67\/950?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2678*h**2 - 236*h**2 - 3405844*h + 3405849*h to the form o + q*h + x*h**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 17\/30*x**5 - 6\/35*x**7 + 0 + 0*x**3 + 0*x**6 + 0*x**4 + 0*x - 23*x**2. What is the third derivative of z(v) wrt v?\nAnswer: -864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3922 and 527456.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-2) + 0)*2. Let l be (-6)\/(-21) + 5\/z. Let i be (4\/(-6))\/(11\/(-66)). What is the highest common divisor of l and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 5. Let y be k(10). Suppose -x - y = 3*u + 4, 5*u + 35 = 5*x. Is (-2)\/2 - (-258)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205.0551685 - 8\nAnswer: -213.0551685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*u**3 - 41*u**3 + 16 - u + 2*u + 4*u**3 - 2*u**2 in the form n*u**2 + b + i*u**3 + w*u and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 960831379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:53 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -85*d + 79*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/25)*o)\/o*o*o)\/(o\/((o\/o**(7\/5))\/o))*o**(1\/3)\/((o\/o**(3\/5)*o)\/o))**(-2\/39) assuming o is positive.\nAnswer: o**(-92\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127535389*j**2*r**2 - 19*j*r**2 - 4636485*j wrt j?\nAnswer: -255070778*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4067 + -4069. Sort -3\/8, 0.5, -6, m.\nAnswer: -6, m, -3\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330 (base 6) to base 7.\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 3*k**2 + 2. Let g(n) = 5*n**3 - 6*n**2 - 4. Let w(u) = 7*c(u) + 3*g(u). Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + n - 1. Let s(p) = 9*p**2 + p - 1. Let w(r) = l(r) - s(r). Let o(y) = -7*y. Give w(o(g)).\nAnswer: -490*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 104 = 13*f + 3*f. Solve f*j = 315 - 355 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626346358 to the power of 1\/3, to the nearest integer?\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12461423 greater than or equal to -12461423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/7)*o)**(-9\/5) assuming o is positive.\nAnswer: o**(-153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**4\/12 - 4*x**2. Let j(h) = -h**2 + h**2 + h**2. Give j(i(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -122 (b) -5 (c) -1 (d) 2\/5 (e) 0 (f) 2.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x + 3*x + 2 - 4. Let r(y) = -2*y + 2. Let j(l) = 5*n(l) + 4*r(l). Let u(g) = 3*g - g + 17 - 18 + g. What is 4*j(m) - 9*u(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 4*m**3 + 3*m**3 + (12*m**2 + 4*m**2 - 4*m**2)*((m + m + 0*m)*(-7 - 4 + 0) + 2*m + 0*m - 3*m).\nAnswer: -275*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 591*h**3 - 2936*h**2 - 3516*h.\nAnswer: -h*(h + 2)*(h + 3)*(h + 586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = t. Suppose -3*u = -t*u + 230. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 66*x = -2*d + 29*x - 33, d + 29 = -5*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/56 in 960.4, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-104))\/((-4)\/(-32))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s - 330 = -63*s. Suppose -q + 55 = 5*a, 0 = 5*q - 2*q - 3*a - s. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916*j + 3442 = -222. Suppose -20 = -5*f + 25. Let d(m) = 17*m**2 - 9*m + 7. Let a(r) = -8*r**2 + 4*r - 3. What is f*a(z) + j*d(z)?\nAnswer: -4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2295 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26113147 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(7)*1)\/sqrt(2)*-4)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -13. Let o be ((-21)\/q + -1)*118. Suppose -5*r + 5*g + o = 0, 0*r = 2*r + 5*g - 125. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 2*y - 1. Let m(q) = -2*q - 22 - 22 - q**2 - 23 + 81 - 13. Calculate -6*m(n) - 7*r(n).\nAnswer: -n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2165 - -2196. Let k = 1 - -1. Suppose w - k*w = -17. What is the remainder when v is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4314 - 0?\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7*x = 48, 3*s - x = 367 - 415 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 5*r = 190. Suppose 0 = -6*a + 574 - r. Let o be 355\/2*a\/(-80). Round o to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1495182 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.93, -1\/6, 3.2, -6, 82?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/3)\/(((-16)\/5)\/8))\/(350\/140)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -89. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 3, z: 7, i: 1, j: 4}. Give prob of sequence yjz.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*3\/(-42)*7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27\/4? (a) -0.2 (b) 2\/7 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28 - -1)*(4 + (1 - 2)). Let n = -73 + c. Solve 13*o - 4 = n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + y**2 + 0*y**2 + 169.\nAnswer: y**2 + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7361 + -34?\nAnswer: -7415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 250 = 2*x, -4*d + 252 = -2*d + 4*x. Calculate the highest common divisor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, j: 2, o: 5}. Give prob of sequence ooo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*s = 110*s + 216. What is the remainder when 1991 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.308137?\nAnswer: -1.848822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 54*s + 171. Let d(y) = -81*y - 257. Let f(k) = 5*d(k) + 7*i(k). What is the hundreds digit of f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3080 + 16615. Does 111 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610865.\nAnswer: 5, 122173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6 - 13\/(-2). Let l(f) = f**3 - 4*f**2 - 7*f + 8. List the prime factors of l(y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/171 and 8\/1197.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -83\/2804634?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7491801 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24040 is divided by 4005?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (97 - 99 - (-7 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81309 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35026405 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2297*j**3 - 5*j**2 - 396 wrt j?\nAnswer: 13782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1487 - 510 - 36)*(-4*k + 2 - 2) + 2*k + k + 4*k in the form i*k + m and give i.\nAnswer: 8139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m + 10. Let a(k) = -4*k**2 - k - 2. Suppose 0 = -60*u + 64*u - 20. Let v(d) = -6*d**2 - 2*d - 3. Calculate m*a(y) + u*v(y).\nAnswer: 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12680 (base 12) to base 2\nAnswer: 110001001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6) + (-150)\/20 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*j - 2. Suppose -3*b + m = -23, 3*m + 7 = 3*b - 8. What is the lowest common multiple of b and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -197, -193, -187, -179, -169, -157?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 2. Let j = 2 - -1. Let w(y) = -2*y + 7*y**j + y - 3*y**3 - 2*y**2 + 0*y**3. Calculate w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1122*t**3 + 9*t**2 + 6*t + 24. Let b(x) = 1123*x**3 + 8*x**2 + 5*x + 21. Determine 8*b(v) - 7*h(v).\nAnswer: 1130*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12304*q**3 - 48*q**2 + 967355 with respect to q.\nAnswer: 36912*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 + 29*z**2 - 11*z + 40. Let b be t(9). Solve -35*y + 2 = -b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 b when three letters picked without replacement from {d: 4, a: 2, b: 1, i: 2, w: 1, f: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + -5 + 3 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/5)\/(32\/80). Solve 0 = 2*n - d*u - 2, 2 + 0 = u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72682641.\nAnswer: 3, 8075849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 537 + -248. Let h = 648 - z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -w - 228 + 217, 5*g - 4*w = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 6)\/(-24) + 618\/(-8). Let j = y + 83. What is the third derivative of -25*w**j + 12*w**2 + 46*w**5 + 8*w**2 - 46*w**5 wrt w?\nAnswer: -3000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95372 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 54*n**2 - 16*n - 65. Give o(27).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q**(7\/4)*(q*q**(-1\/5))**(1\/46) assuming q is positive.\nAnswer: q**(4033\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55147, 55146, 55145, 55144, 55143, 55142?\nAnswer: 55141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2073594*0.5.\nAnswer: -1036797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -99. What are the prime factors of b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*k + 1446 = -5536, 1762 = m - 5*k. Let h = m + -1191. Does 36 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1346, -20, 34 in descending order.\nAnswer: 1346, 34, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -1 - (-43 - -38) - (-47 + 32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -93473*u**2. Let p(m) = 14*m. Determine p(r(y)).\nAnswer: -1308622*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.9, 5, -1.5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6524151041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145926, 1168641, 3944590, 9350391, 18262662, 31558021?\nAnswer: 50113086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - -36. Calculate the greatest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18735 + 56542231\/3018. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 6*f**2 + 8*f - 1. Determine b(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200102 + -1222121?\nAnswer: 2200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*y + 7605, -3*p + 3*y + 27699 = 4896. What are the prime factors of p?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*a - 148*a**3 + 146*a**3 + 1378 - 1379.\nAnswer: -2*a**3 + 364*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4939\/21 + -235. Let u = -28 - -41. Suppose 2*j + 8 = -5*o, -2*o + 3*j = -u + 1. Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q**2 - 45*q - 99. Let y(p) = -55*p**2 + 248*p + 496. What is 11*f(m) + 2*y(m)?\nAnswer: 11*m**2 + m - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 6*j + 5. Let c(a) = 2*a + 2. Let r be c(1). Suppose -4*h - 5*m - 5 = 0, -m - 14 = h - r*m. Calculate w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -911652, -1823313, -2734976, -3646641, -4558308, -5469977?\nAnswer: -6381648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 0.07?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1829 (b) -2\/9 (c) -1 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -9. What is the smallest common multiple of s and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/16)\/11*2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 33*m**2 + 1231*m + 5584. Determine d(-32).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.04, -3\/7, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwwoocp. Give prob of sequence hcwo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -20*m - 79. Does 20 divide t(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + sqrt(1573)*-2 - (sqrt(130)\/sqrt(40))**2.\nAnswer: -11*sqrt(13) - 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:15 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26138568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 6. Let o = -4 - -8. Solve -p + 4 = -4*d - j, -5*p + o*d + 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n. Let y(h) = -337*h + 2. Calculate 6*i(s) + y(s).\nAnswer: -325*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/900 + 21*w**5\/25 + w**4\/180 - 42*w**3\/5 - 4511*w**2. Suppose r(q) = 0. Calculate q.\nAnswer: -1, 1, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13 = -2*q + 9, 56 = -3*d - 4*q. Let i be 17 + d - 3*-1. Suppose 0 = 3*c + 7*c - 50. Put c, 1, 3, i in descending order.\nAnswer: c, 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 0 - 29*g + 0*g**2 - 3\/20*g**5 - 13\/12*g**4 - 71\/6*g**3. Find the second derivative of i(q) wrt q.\nAnswer: -18*q - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81812 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 31. Suppose -3*g + 1 = 5*l - 17, -2*l + 10 = 4*g. Suppose z - 4 = l*d. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2790)\/(18\/(-540)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from yiqiiiiiiiiffi.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1\/3*3. Let w(o) = -138*o + 67*o + 61*o - 3. Let x be w(d). Solve -4*g = x - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371837 is divided by 14544?\nAnswer: 8237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*y + 50, -y - 4286 = -4276 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2 - 3*y + 16*y**2 + 11*y - 5*y - 6*y. What is the units digit of c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96381041 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 577936 to the power of 1\/2, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1125.\nAnswer: 4\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 = 4*c - t, -5*t - 30 = -5*c. Differentiate -2*i**3 + 4*i**3 + 4*i**c - 9 with respect to i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61462, 122956, 184450, 245944, 307438?\nAnswer: 368932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, s: 1}. What is prob of sequence qs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 n when three letters picked without replacement from {n: 4, a: 6, s: 2}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 715\/(-10). Let o be 16\/a + ((-605)\/9)\/1. Let w = -39 - o. Solve 5*d = -0*s + 3*s - w, 4*s = -2*d - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 19 (c) 1\/2 (d) 4 (e) 4\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(147) + -4*sqrt(147))**2 - sqrt(21)\/(sqrt(7) + sqrt(700)) - 2*((sqrt(432)*-1 - sqrt(432)) + sqrt(18)\/(sqrt(30)\/sqrt(5)))).\nAnswer: 505*sqrt(3)\/11 + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 622164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 - g - 40. Let n be k(0). Let v be 10\/n + 26\/8. Factor 0 + 4\/7*m**4 - 2\/7*m - 4\/7*m**2 + 2\/7*m**5 + 0*m**v.\nAnswer: 2*m*(m - 1)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050670956 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 2\/13, 56, -29, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 4*u + 685. Let h be x(56). Round h to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2. Let l(d) = -d - 5*d + 2*d + 2*d. Give p(l(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 8 = g. Let m = g - 218\/3. Calculate the common denominator of m and (76\/14 - 3)\/(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.546 + 0.046. Which is the fourth biggest value? (a) o (b) 5 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 5*n**2 + 12*n - 3. Let a be ((-8)\/(-10))\/(8\/40). Suppose a*u = 5*y - 37, -4*u - 45 + 18 = -3*y. List the prime factors of m(y).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -82*k**2 + 635*k + 1105. Let c(s) = -29*s**2 + 212*s + 366. Let a(i) = 17*c(i) - 6*x(i). Factor a(v).\nAnswer: -(v + 2)*(v + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (475*q - 85*q + 204*q)*(21 - 12 - 6*q - 11) to b*q + i + j*q**2 and give j.\nAnswer: -3564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-5762)\/(-10) - 1)\/(23\/(-115)). Calculate the greatest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -442*s**2 + 3091*s + 131. Calculate b(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzkzmkyizzyih. Give prob of sequence ik.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68119991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-830 + 495*n + 830)*(-3*n + 0*n + 7*n)*((4*n - 5*n - n)*(1 - 1 - n**2) + 3*n - 3*n + 2*n**3).\nAnswer: 7920*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3100598 * -0.02.\nAnswer: -62011.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572388.\nAnswer: 2, 3, 99233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/1408*-1*16\/6.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 4*i + u, -5*u - 27 = -5*i - 117. Suppose 2*h = -3*h + 25. Let p be h\/18 + 10\/i. Which is the nearest to -1\/3? (a) p (b) -0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 548?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 5*c - 7*c - c - c + 4*c - 1 + c + 1 + 5*c + 0*c - 4*c + (3 - 3 - 2)*(-c + 3*c + 0*c) - 5*c + 4*c - c + 0*c + 0*c + c + (3 - 2 + 2)*(c - 4*c + 4*c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -61991 divided by -223?\nAnswer: 61991\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/187*(-30)\/35?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010110110010 (base 2) to base 11.\nAnswer: 23795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**25*l*l)\/l)\/l)\/((l*l**39)\/l*l))\/(l**5)**(-33) assuming l is positive.\nAnswer: l**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 0*m = -360. Let f = m + -41. Let h(l) = -3*l - 5. Determine h(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 1423*s**3 - 44.\nAnswer: -1423*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -4\/759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-2)*33*(-494)\/8151?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c + 8. Let x be ((-7)\/(196\/24))\/(((-768)\/112)\/24). Determine u(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25997898 and 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1440))\/(sqrt(200)*2) + -2.\nAnswer: -3*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 1000*d = -0*w + 1003*d - 6, 3 = -w + d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {g: 3, k: 3, f: 3, u: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 31275702?\nAnswer: -31275707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*a + 35. Suppose -44 = -3*j - j. Let p = j - a. Sort 2, 18, p in decreasing order.\nAnswer: 18, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25099 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17266 (base 11) in base 16?\nAnswer: 5ed0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 25, -62, -161, -272, -395, -530?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnw when three letters picked without replacement from {n: 6, w: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/2*28\/(-16). Suppose -c - s = -2*c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dedd when four letters picked without replacement from deededddde?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 10*y - 17. Let o(u) = -3 - y - 16 + u**2 - 5 - 15*u. What are the prime factors of o(-10)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v = 267*v + 259*v - 992. Let b(j) = 6*j**2 + 3*j. Let z(d) be the third derivative of d**5\/60 + d**4\/24 - d**2. Calculate v*b(y) - 6*z(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394361 and 2695.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -1, 0.3, -32109.18?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 283565 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3132 and 4104.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l**3 - 1\/24*l**4 + 0*l + 2*l**2 - 1\/60*l**5 - 1\/180*l**6 + 0. Let a(j) be the second derivative of p(j). Give a(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6011580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0.6. Let z = -2.4 + p. Which is the third biggest value? (a) -0.4 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 - 15*b**2 - 15*b**2 + 35*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546563 and 10904.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/5, -0.3, 7 in increasing order.\nAnswer: -0.3, 2\/5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(4\/(-98))*156\/(-91). Let p = z - 12. What is the second derivative of -30 - 15*k**5 + 6*k + p wrt k?\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 6:20 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = -0. Let l be ((-8)\/t)\/((-4)\/90). Let z be l\/(-8) - 1\/2. Calculate the greatest common factor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -t + 6*t, -t = 4*q - 15. Suppose 3*y - 204 = 4*z, y + q*z + 0*z = 84. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(110\/33)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 5*l - 84*l**2 - 5*l.\nAnswer: -84*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**4 + 17*w**2\/2 + 82*w - 93. Differentiate y(u) with respect to u.\nAnswer: 12*u**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-161)\/((-58443)\/242))\/(2\/207)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -156921579 times -2?\nAnswer: 313843158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 7*v + 4 + (3*v - 3*v + v)*(4 - 3 + 0).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 - -20. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {u: 1, k: 7, j: 2, e: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by -1\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 848386\/39 + -21752. Calculate the common denominator of g and -121\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 211008 or 211009?\nAnswer: 211009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 - (9 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059691798 rounded to 4 dps?\nAnswer: -0.0597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111100010 - -210020000?\nAnswer: -201010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981257693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88058*d**3*x**3 + 2*d**2*x**3 - 713*d**2 + 7*d*x**3 wrt d?\nAnswer: 528348*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8)*((-5)\/(-12))\/((-6785)\/(-282256)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*j**3 - 2*c**3*j*v + c**3*j + 36*c**3*v - c**2*j**3*v + 7*c**2*j + 62*j**3 wrt c.\nAnswer: -6*j**3 - 12*j*v + 6*j + 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451661?\nAnswer: 7, 113, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6))\/(4 + 135\/(-36)). Solve -5*v + 4 - 13 = -3*x, -h*x + v - 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(136) - (sqrt(136) - sqrt(136)*-1 - sqrt(136)))*-3)\/(-2*sqrt(288))*-3)**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*p - 7, 5*v = p + 3*p - 13. Suppose -305 = 53*z + 50*z + 107. Sort 3, v, -16, z.\nAnswer: -16, v, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -9*x**4 + 39 - 39 - 9*x**4 + 24*x**4 + 16*x**4 + (-x**3 - x**3 + 0*x**3)*(2 - 2 + x) + (3*x - x**4 - 3*x)*(-3 + 2 + 3).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/8 + 15*o**3\/8 + 21*o**2\/8 - 15*o\/8 - 9\/4 = 0. What is o?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k - 2*l = -213, -426 = -2*k - 3*l. Let b = 340 - k. Is b 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 8068603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {r: 3, t: 4, u: 1}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*x + 93, -5*x + 85 - 721 = -8*c. Suppose -2*f + 39 = -5. Calculate the greatest common factor of c and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**6\/5 - y**4\/3 - 42*y**2 + 3*y + 2. What is the derivative of h(t) wrt t?\nAnswer: -24*t**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 741\nAnswer: 2\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -15.3590848.\nAnswer: -9.3590848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212414233 + 14?\nAnswer: 1212414302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 722 = -54. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 269360*h + 4534675600.\nAnswer: 4*(h - 33670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 11*z**2 + 6*z - 10. What are the prime factors of t(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88.34945163455 - -0.059.\nAnswer: -88.29045163455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 35*u**2 - 460*u + 1. What is k(-8)?\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**3 + 587704*m**2 - 46991036*m + 46403336 = 0.\nAnswer: 1, 79, 146846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/17, -29 in ascending order.\nAnswer: -29, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - y. Let l be i(-1). Suppose 5*k - 10 = -4*j, k - 6 + l = -2*j. Suppose 78 - 236 = -k*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4735067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 4858*h\/5 - 35496.\nAnswer: 2*(h - 36)*(h + 2465)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8 or -13651?\nAnswer: -13651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22955 = -747*k + 2786 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + o + o**2 + 0*o)*(120*o - 176*o - 149*o) as g*o + v*o**3 + d*o**2 + m and give v.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*t + 9*t + 36 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/(2\/(-4)). Sort h, 5, 1 in increasing order.\nAnswer: h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 571 + -566. Suppose p + 2*v - 22 = 4*p, -p - 22 = 3*v. Let n = -6 - p. Solve j*l = 5*o - 40, -l = -n*o + 6 + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*s - 16, -5*s - 5*d + 3 + 7 = 0. Let n(b) = -b + 11. Let x be n(s). What is the derivative of 5 + x*v - 4 + 8 - 1 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 3 + 3 + (-28 + 17 - 96)*(k - k + k) - 4*k + 8 - 8 + (0*k + 0*k - k)*(1 - 5 + 5) in the form g + n*k and give n.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n = 44. Suppose n*i - 296 = -87. Let p(r) = 2*r - 10. Calculate the remainder when 250 is divided by p(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/5))\/k*k)**(32\/5)*k**(-3\/10)*k**10 assuming k is positive.\nAnswer: k**(869\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, -5 in decreasing order.\nAnswer: 2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - sqrt(192)*-1)**2*-2 - (-5 + (sqrt(192)*2)**2)) + (sqrt(192) - (1 + sqrt(192) + -3) - sqrt(192) - (1 + -2 + sqrt(192)))**2.\nAnswer: -1522 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000673497 to five dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 39, 49, 61, 75, 91?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -26. Let z(p) = 7*p + 62*p**4 - 57*p - 10*p**4. Let u(o) = -17*o**4 + 17*o. Let c(v) = y*u(v) + 4*z(v). Find the second derivative of c(l) wrt l.\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 159, 338, 579, 876?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/3)*v)\/((v\/(v*v**(-13)))\/v))\/(v*v**(-9)*v\/(v*v\/v**(5\/3))) assuming v is positive.\nAnswer: v**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.044 + 19. Let d = -8.4 + 8.4387. Let z = d + p. Round z to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 341397234*g - 230542. Let k(u) = -17770*u + 12. Calculate 115271*k(q) + 6*l(q).\nAnswer: 17734*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 - 54?\nAnswer: -53.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34422 + -0.14422. Which is the fourth biggest value? (a) r (b) 0.1 (c) -0.2 (d) -0.1 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 25089311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 - 77\nAnswer: -76.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5318 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 2\/(4 + 2)*36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 106 + 1 - 109 + 5*j. Calculate m(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36921 divided by -397.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = -3*m - 20, 3*a = 5*m + 65. Let c(j) = j**3 + 9*j**2 - 9*j + 12. Let q be c(m). Solve 0 = r + 4*w + 17, 3*r - q = -w + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-1)*(-2)\/(-4). Suppose -4*x - 1 = -2*k - 3*x, 5*x - 10 = t*k. What is the least common multiple of 4 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(57)\/sqrt(3))**2 - (sqrt(19) + sqrt(19) + -2)*-5) + (sqrt(1900)*2 - sqrt(1900)) + (sqrt(76) - (sqrt(76)*-2 - sqrt(76)))\/sqrt(4).\nAnswer: 13 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - j - 63 - 35, -3*z = j + 60. Let a(k) = k**3 + 15*k**2 - 35*k - 41. Let m be a(z). What is m rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*x + 1. Let c(f) = f**2 - 4*f - 4. Let p be c(6). Suppose x*w - 6*w - p = 0, 4*z + 4*w = 200. Does 26 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, 1 f, and 1 y when four letters picked without replacement from {l: 4, d: 2, x: 2, f: 2, y: 3}?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24\/14*238\/(-85)*(-5)\/(-2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 23.56.\nAnswer: 23.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.8, 2, -133, 0.1?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -27. Suppose z*p - 8 = -3*d, -3*d - p = -d + 3. Let f = -48 - -43. What is the nearest to 0.2 in d, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (sqrt(363) + sqrt(363)*-2)*-1 + -2))**2 + -2.\nAnswer: -2200*sqrt(3) + 9473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 5. Let u be t(-3). Let m = u + 67. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15441565.\nAnswer: 5, 31, 99623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -8. Suppose 5*s + 4 = -3*i + q, 12 = 4*s. Let c = 6 + i. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 2. Let t(a) = -4*a - 3. Let g(f) = -7*i(f) + 6*t(f). Let x be g(-6). Calculate the highest common divisor of 126 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13550 + 94870\/7. Find the common denominator of ((-124)\/42)\/((-52)\/6) and o.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 2*r + 12. Let f be -4 + (r + 4 - -330761). Let u = f + -223758. What is u rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 797715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11298*p - 3311*p + 9351*p + 3518*p.\nAnswer: 20856*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 5486355.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.6604973 + 1.\nAnswer: 5.6604973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let t(p) be the first derivative of -p**5\/15 + 2*p**2 - 2. Let d(y) be the second derivative of t(y). Calculate c(d(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 times 0.38?\nAnswer: 74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 + 2455\/9. Which is the third smallest value? (a) 2 (b) q (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2962?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**5*c**5)\/((c**0*c)\/c)**(7\/9)*(c\/(c**(-8)\/c))\/c**3*c\/(c**0*c)*c**(-1) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2 - 27*u - 7. Give p(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66693 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 735468899 greater than 735468899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/((v**15\/v*v)\/v)))**(-26)\/(v\/(v*v\/((v**6\/v)\/v)))**7 assuming v is positive.\nAnswer: v**(-411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*l + 99*l + 58*l to r*l + f and give r.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -6. Let i = -3 - -5. Let j be 2\/(-6) + i\/6. Sort j, -0.1, m in decreasing order.\nAnswer: j, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1130*u**5 + 33*u**4 - 1133*u**5 + 2266*u**5 + (u**3 + u**3 + 0*u**3)*(-2*u + 2*u + u**2).\nAnswer: 5*u**5 + 33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/91 or 147944?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8462518 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-1*sqrt(325) - (sqrt(13) - sqrt(52)*-4)) + -3)*-3)**2.\nAnswer: 12096*sqrt(13) + 368208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(119)*4 - ((sqrt(119) + -3*sqrt(119)*-5 - sqrt(119)) + sqrt(119)))\/(1*(-3*sqrt(252) - sqrt(7))*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 478. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*m**3\/2 - 255*m**2\/2 - 133*m.\nAnswer: m*(m + 1)*(11*m - 266)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.106 from 57.\nAnswer: 57.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4644 + -1.5356. Sort 6, 2\/9, -0.07, -1\/5, a in ascending order.\nAnswer: a, -1\/5, -0.07, 2\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**20*((g*g**(-4\/9))\/g)\/g*g**22\/(g**(-11)\/g))**(-2\/71) assuming g is positive.\nAnswer: g**(-964\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y. Suppose -6*r + 7*r - 1 = y. Solve f + 6 = r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -21 + 1 + (189 - 100) + -102\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 + 50 - 30*t)*(2809*t**2 - 80*t**2 + 161*t**2 - 113*t + 113*t) as h + m*t**3 + k*t**2 + s*t and give m.\nAnswer: -86700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -4*m - 6*b + 1448, -5*b = 5*m - 2575. What is the highest common divisor of 32 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1187, 2370, 3551, 4730, 5907, 7082, 8255?\nAnswer: 9426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + t + 199, -5*z + 5*t + 195 = -0*z. Calculate the remainder when (-664)\/(-1494) + (-5280)\/(-27) is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2. Let g be n(-1). Suppose -b - u = -15, -b = u + 2*u - 11. Suppose -b = -g*o - 5. Solve 3 = -o*i - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-720)\/231 + 3 - 3\/7. Let f = 41\/55 + p. Factor -f - 1\/5*l**2 - 2\/5*l.\nAnswer: -(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-3*4)\/(-3*sqrt(108) + sqrt(108)) + 5.\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 1 - 4 + z**4 - 2 wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.01, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2089011\/19745 + 2\/3949. Let j = f + -105. Let n = -0.07 - -0.17. Which is the third smallest value? (a) j (b) -7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0.01, 1 in increasing order.\nAnswer: 0.01, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + r = -3*r - 16, 3*r = -2*n - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*y + 2*i - 99, -60 = 3*y - 2*i. Let w = -15 - y. Suppose 2*m - 2 = 2*t + 2, w*m = 5*t + 2. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -10.2. Let y = f + 1.3. Let q = y - -0.899932. What is q rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64425 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53917 - -53970)\/((0 - -1)*1*-7 + 2)?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*v - 254 + 1181 + 945 = 0. Solve -15*s + 14 = -v*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -98 - (-1 - (2 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64800682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9. Let y = -5\/18 + 4\/9. Which is the second smallest value? (a) y (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -1.6566?\nAnswer: -1.5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46225 and 1233283?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 26 - 48 - 12*c + 25. Let a(y) = -22*y + 6. Let x(s) = -4*a(s) + 7*z(s). Let u(h) = -h + 1. Calculate 9*u(f) + 2*x(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8453 + 18237. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*s - 1019, 4*s - 508 = 3*s - w. Let o = -38519\/76 + s. Let a = 35\/51 - -4055\/408. Find the common denominator of a and o.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068*d + 649*d - 390*d - 95236 = -315*d for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -134. Solve -g - p = k, -k + 2*k + 2*g = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2386 = 46*q - 2478. Suppose -i = -2*i + 21. Suppose b + 6 = 4*y - 3*y, 4*b + i = 3*y. Solve -y*f = q*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 101111?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/2, 2.6, 4 in descending order.\nAnswer: 4, 2.6, 1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 173*j**2 + 6*j + 219. What are the prime factors of o(11)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -18 (c) -4 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003499018 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28*9\/144*(354\/(-2891))\/(16\/14)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)*p*p**(-4))\/(p**4\/(p*p*p*p**3)) assuming p is positive.\nAnswer: p**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/2 - 4729099*y**2\/2 - 2795536528472*y + 25160020285122 = 0.\nAnswer: -2364554, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57\/5 or 0.071?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 90. Let o = 202855.9993 + -202882. Let c = t + o. Round c to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882*a**3 + 31443*a**3 + 1 - 1.\nAnswer: 30561*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 23*v - 24*v - 10, -3*v + 4*g = 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f - 12. Let z be c(-10). Suppose 44 = 4*q - 2*m, 0*q + z = 3*q - 4*m. Suppose 6*b - 3*b = q. 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 h(g) = g - 12. Let s be h(14). What is the second smallest value in -2\/41, s, 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 10:06 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + 5 + (sqrt(88) - 2*sqrt(88)*6)\/(sqrt(1152) + sqrt(1152) + (sqrt(1152) - sqrt(1152)*2)) + -1)**2.\nAnswer: -11*sqrt(11)\/3 + 1907\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -285 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = -6*d. Calculate the common denominator of 1 - 141\/(-90) - d\/6 and -95\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u - y - 34683998 = -69*u, 0 = -3*u - 4*y + 26013008. Round u to the nearest one hundred thousand.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 88 = -o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -217, -1839, -6267, -14905, -29157, -50427?\n\"Answer: -234*s**3 + s**2 + 13*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 606 and 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*d + 135, 5*q + d - 135 = 5*d. Suppose -5*c + 3*r = -3*c + q, 4*r = 5*c + 57. Which is greater: -10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*1*-3)\/(sqrt(108)*-5*2 + sqrt(108)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2 + 2)*(0*i**2 + i**2 - 3*i**2)*(-i**2 + 6 - 6) as w*i**2 + x + r*i**4 + s*i + k*i**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1305 + 854. Let c = 634 + l. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:53 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163404633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 2725110.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 907372*h**2 - 2*h**3 - 907372*h**2 - 2*h + 1642*h**4 to n*h**2 + r*h + q*h**3 + f*h**4 + v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3616 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, -8, 4, -2 in descending order.\nAnswer: 32, 4, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.36294 grams in kilograms?\nAnswer: 0.06236294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 - 2.1. Let c = -6118\/17 - -360. Put u, 0.2, c in ascending order.\nAnswer: u, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3311 (base 7) to base 2\nAnswer: 10010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:35 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1021 - -1013.987. Let q = -7 - v. Round q to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(7) + sqrt(7)*1 - sqrt(7)) + 5)**2*-1.\nAnswer: -8 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = u - 5*u - 59, 2*u = -2. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, -25, -82, -183, -340?\n\"Answer: -2*g**3 - 4*g**2 + g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 798038115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 221*l**2\/2 - 226*l + 2582. What is the derivative of o(r) wrt r?\nAnswer: 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23652335.\nAnswer: 5, 7, 675781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72587818921 + -0.1.\nAnswer: -72587818921.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8230 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:05 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112122 + 1?\nAnswer: -10112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 4*j - 2*j - 4*j as z*j + i and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - p**2 - p + 3. Let u be n(0). Suppose u*m = 5*z - 1043, 0 = -z + 2*m + 112 + 91. Let a = -114 + z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 13259*h + 0*h**2 + 19 + 13281*h to the form w*h**2 + x*h + o and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 4*s**2 + 2*s + 18. Let n(x) = x**2 + 1. Let r(p) = d(p) - 3*n(p). Let t = -91921 - -91914. Calculate r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23573184, 47146352, 70719520, 94292688, 117865856, 141439024?\nAnswer: 165012192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -750*n - 1500. Calculate s(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-277694.\nAnswer: -1388470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*t + 1180*t + 645*t + 647*t - 3756*t + 643*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -23. Let w(q) = q**2 - 2 - 2*q**2 + 7*q - 1. What are the prime factors of w(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 7*x**2 + 5*x + 3. Let w be p(-6). Let o be 6\/(-4)*12\/w. Is 14 a factor of 27 + (o - -3) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640323 minus -24323.6?\nAnswer: 3664646.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 4:26 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 6*p**2 - p - 4. Let s be 1\/(-2)*(2 + 10). Let y be b(s). Calculate the remainder when 28 is divided by (-15)\/(1\/(-2)*y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -18277, 2525.\nAnswer: -18277, 2\/21, 2525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(448) - (-1 + sqrt(448))) + -2 + 1*sqrt(56)\/(sqrt(8) - -5*sqrt(72)).\nAnswer: -3 + sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**3\/3 + 2*b**2 - 52. Let m(k) = -k**2 + 7*k. Suppose 6*z - 4*z + 22 = 0. Let g = z + 8. Give g*m(t) + 5*f(t).\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44050*c**3 + 2252*c**2 + 12*c + 2 wrt c.\nAnswer: -264300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1725 and -55\/3864.\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 33. Let o be x(12). Let h(k) = -3 + o*k - 2*k - 4*k - 5*k. Calculate h(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 0.2, 5, -23401\/5, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605888?\nAnswer: 2, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4) - (-1 - (-8)\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 221, 458, 713, 986, 1277?\n\"Answer: 9*y**2 + 210*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1) + (-193 + -5)\/(-6). Let l = u - -42. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 10:10 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1519, 1521, 1523, 1525, 1527, 1529?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 6*u + 5. Let w(j) = -j**2 - 2*j - 5. Calculate t(l) + 3*w(l).\nAnswer: -l**2 - 12*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*i - 4 = 0, -3*z + 2 = -i - 7. Let n be z + -300001 - (-2)\/(-2). Round n to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265 and 739730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64087\/5 - 12842. Which is bigger: 0.1 or p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -181 + 181 + p**3 - 8*p**2 in the form g*p**3 + a + b*p + o*p**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103448.016 nanoseconds to days.\nAnswer: 0.000000001197315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*t - 1 = -0, 0 = -2*m + 5*t - 11. Calculate the lowest common multiple of m and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q - 110880565. Let c be q\/(-2) - (-1)\/2. Let g = 3188057 - c. What is g rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425631*k = -430071*k + 395160 for k.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 6*x - 3. Let y be 84\/30 - (-12)\/(-15). Suppose 16 = y*v + 4. Give g(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14) + (-9)\/819\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1296 (b) 1\/2 (c) 0.029 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2*y + 498 - 488, 0 = 2*g + y - 25 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w. Let d(x) = x + 622090. Give d(r(i)).\nAnswer: -4*i + 622090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 4, 21*b - 25*b - 1 = 3*l + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 536*l**3 + 11 - 15.\nAnswer: -536*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10000111010101?\nAnswer: -10000111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-14 + 11 - (-26)\/8). Suppose 12*s - w = 2*s. Let t be 6\/s*16\/(-24)*-2. Solve 0*k - 3*k = y + 10, 4*y = t*k + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78924649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1827, 10, 2, -2 in decreasing order.\nAnswer: 1827, 10, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10417 - 16353. Is i <= -5936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2 + 37*i + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -599.8769?\nAnswer: 600.0769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.81 and 1.6.\nAnswer: -4.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -384 or -1922\/5?\nAnswer: -384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvr. Give prob of sequence rrv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 4*s**2 - s - 4. Give j(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81717163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -710, -1616, -2536, -3476, -4442, -5440, -6476, -7556?\n\"Answer: -c**3 - c**2 - 896*c + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let p(i) = -3*i - 7*i - i + 4*i - 3 + 2*i. Let c be p(y). Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0. Let u be 0 + 2 + (-33)\/15. Suppose -4*d = -98 + 102. What is the closest to w in d, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.065, 5, 8 in decreasing order.\nAnswer: 8, 5, 0.065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - -96. Let d = 115 + x. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = 16. What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1961906 + -911901. Suppose 7*f + 4*j - 5249980 = 2*f, -j = -f + a. What is f rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 58*d. Let i(r) be the second derivative of 4*r**3\/3 - 1740*r. Give p(i(g)).\nAnswer: 464*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 95282261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjo. Give prob of picking 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242225730 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 1) + -3 - 1. Let n be q\/5 + 748\/20. Is 1*n*5\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-3 - sqrt(156) - sqrt(156))*-1 + sqrt(156) - (sqrt(156) + 2*sqrt(156))*-4)\/(-5*(sqrt(1728) - (-1*sqrt(1728) + sqrt(1728))*1)).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/8)\/(1\/(-3)). Let d = 1089\/7 - 156. Let y = -0.58 - -0.08. What is the nearest to -0.1 in d, q, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -8.9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 17, 43, 91, 167, 277, 427, 623?\n\"Answer: j**3 + 2*j**2 - 3*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4\/8 - 12*o**3 - 549*o**2\/8 - 123*o\/4 + 111 = 0 for o.\nAnswer: -4, -2, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1443201\/644 + -2241. Calculate the common denominator of 145\/3174 and y.\nAnswer: 44436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = i + 9, 263*i - 261*i - 3*d = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*a = -38, a - 2290 + 2255 = 4*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551416?\nAnswer: 2, 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:37 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -28 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**2))**44*f*f\/(f\/((f\/f**(2\/7))\/f))*f*f\/(f*f*f\/f**(-2\/23)) assuming f is positive.\nAnswer: f**(14108\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:50 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 o when four letters picked without replacement from {w: 1, a: 1, o: 3, m: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 36122639.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -739, -605, -439, -241, -11?\n\"Answer: 16*r**2 + 86*r - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 29736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2211333 (base 4) to base 13\nAnswer: 4ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23770?\nAnswer: 2, 5, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*f + 20 = 0, -3414 = -5*a - 5*f - 3379 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1314 + -11402?\nAnswer: -10044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(1*sqrt(3)))\/(sqrt(2) - (-2*sqrt(98) + sqrt(2))).\nAnswer: sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 330*26\nAnswer: 8580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14899, 14898, 14897, 14896, 14895?\n\"Answer: -i + 14900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2926*o**2 - 166*o + 8 wrt o.\nAnswer: -5852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/4)*g**(-13)*g*g**34\/g*g*g\/(g\/(g*g**(4\/29)*g*g)) assuming g is positive.\nAnswer: g**(2771\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j = -16*j - 15*j - 273 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*b + 2*b**4 + 19*b - 17*b**4 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16552149 and 23107287?\nAnswer: 39659436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*4*1\/(-3). Let z = 360 - 354. Suppose -z*v + 135 = 39. Calculate the greatest common factor of v and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 134. Let r = w - -89. Suppose f - 2*f + 57 = 4*a, r*a = f - 57. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021 times -0.093\nAnswer: 94.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)\/t)**37*((t*t**1\/t)\/t)**18 assuming t is positive.\nAnswer: t**(-407\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22.5 + -1382870829\nAnswer: -1382870851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:11 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 7*t + 235. Determine d(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w + 2060 = -756. Is -64 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 29509757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 2*p - 4. Let h be o(4). Suppose -w = 6 + h. Let g be 1 + (w - 0)\/2. Which is the closest to 2\/7? (a) 0 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:43 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564 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: Sort -2, -3484, -5466 in descending order.\nAnswer: -2, -3484, -5466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -38\/47, 1\/9, 10 in descending order.\nAnswer: 10, 5, 1\/9, -38\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 - 3*l + 1. Let w(v) = 3*v**3 + 12*v**2 - 8*v + 4. Let g(s) = -8*t(s) + 3*w(s). Let i be g(-4). Sort i, 1, -3 in decreasing order.\nAnswer: i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7fcc (base 16) in base 14?\nAnswer: -bccc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y + 1. Let b be ((-10)\/(-15))\/(2\/15). Suppose -l = -2*l + b. What is the units digit of t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 3 in ascending order.\nAnswer: -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 26*r**2 + 22. Calculate the lowest common multiple of q(26) and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 60*p = -62*p + 96, 5*r + p = 507. Calculate the highest common divisor of r and 1173.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 2225 = 2281 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(3\/54). Let p(k) = k**3 + 14*k**2 + 19*k + 12. Let x be p(t). Is 71 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/14541 and -97\/888.\nAnswer: 116328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1638)\/(-84))\/((-1)\/(-18)). What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4838*f**3*x + 606*f**3 + 3*f**2 + 2*f with respect to x.\nAnswer: -4838*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (334282\/(-4525664))\/(0 + -13).\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 57*m**2 + 5*m + 13. Let w(r) = -125*r**2 - 11*r - 27. What is -13*u(s) - 6*w(s)?\nAnswer: 9*s**2 + s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)*(-8)\/(-6). Let w = -1\/6 + -1\/2. Let j be -3 + -5 + (-16)\/(-4). What is the nearest to w in u, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + r**2 + r. Let z(i) = -4*i + 5. Let x(c) = -3*c + 4. Let k(q) = -5*x(q) + 4*z(q). What is 3*k(t) + l(t)?\nAnswer: -2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 2. Let l(j) = 2*j + 1. What is 10*l(h) - 4*m(h)?\nAnswer: 8*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**3\/6 + k**2\/2 - 4*k. Is 12 a factor of p(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 44187*n**3 - 397749*n**2 - 662933*n - 309372.\nAnswer: (n - 44196)*(n + 1)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.48 - 0.48. Let f = u + -0.04. Is -1\/2 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -742*c + 112. Let j(t) = -33*t + 5. Let n(v) = -112*j(v) + 5*y(v). Let h(r) = 5*r**2. Calculate h(n(z)).\nAnswer: 980*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1414654 + 80577822.\nAnswer: 79163168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1883, 3763, 5641, 7517, 9391, 11263?\n\"Answer: -d**2 + 1883*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 1\/12*u**3 - 1\/8*u**2 + 1\/16*u**4 + 40 + 0*u - 1\/20*u**5. Find g, given that v(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1376113 divided by -47.\nAnswer: -29279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4043 + -2827. Is 19 a factor of 10\/(-1)*(v\/(-5))\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 280461705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -j - 3*i, -3*j - 4*i = j - 108. Let v = j + -25. Find the first derivative of 12 + 9 - 5 + 13*m + v wrt m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32062 (base 7) to base 13.\nAnswer: -37c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 o when three letters picked without replacement from {o: 2, j: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10047?\nAnswer: 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2738)\/(-6) - 12\/(-18). Suppose -j = 7*v + 12. Let x = v + 77. Solve -x = i - 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4) + 11)\/(9 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8 - (-14 + 34)\/(-60)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 4*j + 232. Suppose -13 = -4*p - 5. Suppose -26 = h - p*h - 3*u, -h - 2*u = -24. What is the remainder when j is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 8065200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 62. Let t be ((-4)\/(-5))\/((-7)\/m). Let s be (-8)\/(-4) + 221002 + t. Round s to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -17*j**3\/6 + 4*j**2 + 22*j. Let g be s(1). Let l(o) = 8*o. Let n(m) = 15*m. Give g*l(y) + 5*n(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 26. Let u = 26 - 26. Let b be 1\/((-1)\/(-5 - -2)). Solve -b*k + n*k = u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12097\/8 - -1508. Calculate the common denominator of 9\/5 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/396 and (-706)\/(-720) + 15\/(-15).\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 142*o**2 + 312*o + 4244. What is m(-140)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 82*i + 121. Give w(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 14*h + 15. Let v be k(-8). Let f be 22\/(-44)*(1235 + (0 - v)). Let j = -404 - f. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455 - 836. Let s = 386 + w. Solve 4*q = 5*u - u - 20, 4*q + s*u = -11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 95, 143?\n\"Answer: 48*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 409180 and 5933110?\nAnswer: 11866220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/671 and ((-16)\/1464)\/(22\/121*(-1)\/2).\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 130 = -14. Let i = 58 + z. Suppose l + r - 10 = i, -r - 21 = -4*l + 14. What is the smallest common multiple of 7 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86940766 is divided by 515?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 924217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = k + 13, 4*x - 61 = -k. Suppose -2*n + i + 0*i = -96, 8 = 2*i. Suppose -470 = -4*j - n. What is the greatest common factor of j and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 13 = 0. Suppose 3*a + 10 = 5*a. What is the remainder when d is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -1\/6, -0.2, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.60403427846 - -250.60403528846. Let y = 250 - b. What is y rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -11, 4, -1495, -5 in decreasing order.\nAnswer: 45, 4, -5, -11, -1495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -46. Suppose 4*t + 9 = -3*r + 3, -4*t + 4*r = -v. Let g(f) = -f**3 - f - 1. What is g(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*q**3 - 43*q**3 - 27*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.8 - -31. Let r = -0.93 - 0.07. Which is the third biggest value? (a) p (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -15. Suppose -1 = 4*t + 3*n + 30, -t + n + y = 0. Let u = t + 15. Let k(c) = -2*c - 4. Let v(w) = -4*w - 7. What is u*k(q) - 6*v(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 23 (c) 1\/17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37763061 and -2?\nAnswer: 75526122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43160\/(-104)*64\/(-5)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 2 - (2 + -2). Let m = s + 1. What is the smallest value in 1, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + 30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 539364.9 millimeters?\nAnswer: 539.3649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 256?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2 - -2 - -2). Let s = -2 + z. Let x = 38 + s. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 23*b - 216. Suppose -v + b = v + 4*c, 4*c = -5*v + 276. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/153185151 and -17\/218835930.\nAnswer: 1531851510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 247, 280, 313, 346, 379, 412?\n\"Answer: 33*u + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 740199 and 0.49.\nAnswer: 362697.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.056, -1\/6, -4, 3, -0.2?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9\/7 (b) -0.4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -472*a**2. Let w(n) = 7*n**2. What is w(g(i))?\nAnswer: 1559488*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1134, 72, -1 in descending order.\nAnswer: 1134, 72, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 19*z - 6. Suppose -2 = -9*d + 7. Let c be o(d). Suppose 14*r - 19 = c*r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 6, -1, 10\/23 in decreasing order.\nAnswer: 6, 10\/23, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k. Let n be (7 + -6)\/((-1)\/(-4)). Let f(x) = -2*x - n + 4 + 0. Calculate p(f(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 34.\nAnswer: -33\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-12) - (-2343)\/45. Let d = h + -52. Which is the closest to -0.1? (a) d (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, 2, 249 in descending order.\nAnswer: 249, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 685132 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 20. Let p(a) = 3*a**2 + 3*a + 1. Let j be p(-2). Let u = j + m. Put 1, -2, u in decreasing order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 267\/5 in 0.2, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45060 + -71604. Let k = -26548.00048 - c. Let q = -4 - k. What is q rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {k: 6, o: 8, u: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 21 + (-1501)\/2052*-12 + 20\/90?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*1)\/sqrt(5))\/sqrt(3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 1, l: 2, h: 2, j: 1}. What is prob of sequence gn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*f + 9 - 14 = 2 - 4, 2*f - 10 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 9*t**5\/5 + 237081*t**4\/5 + 4581151*t**3\/5 + 24981571*t**2\/5 + 27481536*t\/5 + 8528652\/5 = 0.\nAnswer: -26323, -9, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlkukavz. Give prob of picking 1 z and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 649114.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -91185+0\nAnswer: -91185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 7*o - 2*o. Suppose 0 = -5*t + h - o, -2*t - 2*h - 7 - 5 = 0. Which is the closest to 1? (a) t (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -534 >= -3352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 + 1. Let l(k) be the first derivative of -3*k**4\/4 - 2*k**3 + 6*k - 2. Let j = -2 + 3. Calculate j*l(x) - 5*t(x).\nAnswer: 2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004382 rounded to 7 decimal places?\nAnswer: 0.0000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -3. Suppose -2*a + 26 = -o. Find the common denominator of a\/32*308\/30 and 145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40677258 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/12 or 64\/7?\nAnswer: -53\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143237813 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21151141 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640480, -640471, -640462, -640453?\nAnswer: -640444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*j - 36. Calculate the remainder when 54 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542\/1932*60\/715?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 40. Let p be t(-13). Let g = 64 - p. Solve -4*v + 5*v - 4 = g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2. Let k(i) = -31*i**2. Calculate k(u(d)).\nAnswer: -124*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(96))\/sqrt(2) - sqrt(48)) + 3*(sqrt(144)\/sqrt(3) + sqrt(48)))\/((sqrt(80)\/sqrt(2)*-5)\/(sqrt(40) + sqrt(360))))**2.\nAnswer: 37632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-50))\/(8\/(-160))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 367 - -25?\nAnswer: 38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 10:23 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 106*x - 104*x + 797 = 0, -4*q + 1056 = -x. Suppose -2*m - b + 526 = 0, -2*m + 5*b + 36 = -502. Is m greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 10. Let v = 14 + -11. Let h = g - v. Solve 0*a + 3*a - 6 = 3*m, -h*a = -2*m - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17079570 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 42 - 6. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) + 48\/(-10) + -2. Let p be f + 5 + -15*10\/(-9). Let l = p + -211\/6. What is the common denominator of -79\/12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1705509 and 17\/13221.\nAnswer: 1705509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 92, -1, -2 in decreasing order.\nAnswer: 92, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 83. Suppose -i - 14 = 2*m + 8, 70 = -4*i - 2*m. List the prime factors of a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 10. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 138*s + 2276. Give a(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.32 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 11 = 2*v + 43, -4*v = -2*x + 28. Solve 15 = 5*a - 5*y, a - x*y = -2*y + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0 - (0 - -1)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3876*v**2 + 2*v - 5*v - 8 + 3910*v**2 + 3*v to the form h*v + w + u*v**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (2 - 7) + -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 1)*(-2*u + 3 - 3)*(-1 - 4 - 4) as z + k*u and give k.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3 = 5*x, 3*x - 2*s - 3465 + 3462 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afkkaakakaffffaakfk. Give prob of picking 1 f and 1 k.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4653*m - 4654*m + 9314*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 139*b - 140*b + 12, 0*j + 6*b = -2*j - 16*b + 494 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/47, 169\/4, 1\/5, 29?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c**(-6))\/c**(2\/33))**(-45\/2))**2)**32 assuming c is positive.\nAnswer: c**(64320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.98 + 7.78. Sort o, -8, 1\/6.\nAnswer: -8, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -56, 49, 246, 565, 1036?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/150 - y**4\/60 + 6*y**2. Solve a(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -232 + 230. What is the tens digit of ((-110)\/(-33))\/(u\/(-225))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56582439?\nAnswer: 3, 167, 112939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiwi when four letters picked without replacement from cmywmiwwccmciiiyci.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**20*y*y\/(y\/(y\/y**19)*y) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21297?\nAnswer: 3, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1241 - -2860. Let k = s - 951. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t + 7. Let b be i(-9). Suppose 10*w - 21*w + b = 0. Suppose 2*o = 4*l - 6, -3*o + w = 5*l - 7. Solve -q + 0*q - o = -5*x, 3 = 4*q - 5*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3042358 is divided by 4267?\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:17 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7551536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b*g**3 - 354*b*g**2 + 2*b*g + 117673*b - 76724*g**2 + g - 46 wrt g?\nAnswer: 24*b*g - 708*b - 153448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, c: 2, i: 2}. What is prob of sequence cxx?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(3*r - 3*r - r) - 508794 + 508794 + 10765*r as v*r + h and give v.\nAnswer: 10763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 9*j + j + 2*j - 17*j**2 + 11*j**2 to the form k*j**2 + c*j + n + d*j**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 39. Let v(q) be the second derivative of q**5\/20 + 13*q**4\/12 - q**3\/3 - 8*q**2 - 43*q. What is the units digit of v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let v be 1*(-3 + o)*-3. Let h = 17 - v. What is the remainder when 27 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1053776?\nAnswer: -1053781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -3.3. Let m be 2\/5 + (4 - (-938)\/(-245)). Sort 1\/12, k, m in descending order.\nAnswer: m, 1\/12, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 3*(sqrt(77)*-1 - sqrt(77)))\/sqrt(11).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (96\/40)\/(2\/360). Suppose 576 = 4*c - 5*i, -2*c - c - 5*i + n = 0. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 38.1.\nAnswer: -190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 121.51. Let z = 0.374 + g. Round z to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 9) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5253.902cm to meters.\nAnswer: 52.53902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807 + 3487 = 28*j + 106*j. Solve 0 = 7*t - j*t + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*(-3)\/6*245\/35.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -96, -141, -184?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 831588 in ascending order.\nAnswer: -4, -1, 2, 831588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -17542280?\nAnswer: -17542281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g + 3*g**2 + 22*g - 22*g - 5*g**2 + g**2 - 2*g**2 - g**2 + (-2 + 3 - 3)*(3*g**2 - g**2 + 0*g**2).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 2 in decreasing order.\nAnswer: 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/67 in 1\/7, 11, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/12 - 2392*b**2 + b. Let n(d) = 6*d**2 - 119*d + 1. Determine p(n(c)).\nAnswer: -12*c**2 + 238*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3236 - -3?\nAnswer: 3.3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/6 - 2*p**3\/3 - 8*p**2. What is the tens digit of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -120b09?\nAnswer: 120b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.2 and -3.1.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -1*sqrt(156) - sqrt(156))*-4 - sqrt(156))\/(sqrt(12) - (sqrt(84)*3 + sqrt(84))\/sqrt(7)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2052 and 11604288?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (87 + -45 + -30)) + (-2 - -1) + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:10 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + 101322020301?\nAnswer: 101322020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {y: 10, n: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1593948 years to decades.\nAnswer: 0.01593948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooocgsocsccolc. What is prob of sequence cclo?\nAnswer: 25\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = 0, 3*y + 0*y - 162 = 3*d. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1589 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s. Let j be d(-1). Suppose j = -3*a + 275. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.105 (b) 3\/4 (c) -2 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 71 - 26) + -36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 0. Suppose u = 19*i - 78 - 112. Find t, given that -11*t**2 + t**2 - i - 14*t + 17*t + 22*t = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 + 5*a**4 - 1 - a**3 - 3*a**3 + 8. Let l(f) = 2*f**4 - 2*f**3 + 2*f**2 + 3. Let s(p) = -7*l(p) + 3*t(p). Factor s(z).\nAnswer: z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 3. Let b(z) = -4*z + 3. Let l(a) = 6*b(a) + 5*c(a). Let w be l(13). Let k be (5\/(-10))\/((-2)\/w). Solve d + 15 = k*u, 4*u - 2 - 10 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*v = -21, 5*p + v = p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/6, -97, 4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -58*q + 45. Calculate t(-8).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.03 - 7. Let i = l - -0.01. Let x = i - 0.84. Round x to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662 is divided by 581?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k - 432 = -48*k. Let v(x) be the first derivative of -k*x + 5 - 3\/5*x**5 + 6*x**3 + 3\/4*x**4 - 6*x**2. Factor v(i).\nAnswer: -3*(i - 2)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -32. Let i = j + 14. Let z be (-9)\/39 + 28\/910. Which is the third smallest value? (a) z (b) 2\/7 (c) 0.2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2628019?\nAnswer: 1031, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201 (base 4) in base 3?\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 bigger than -43005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:05 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 192708 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9654.175nm in kilometers?\nAnswer: 0.000000009654175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from pplplmpqplplmpmqqmp?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 13432 = -j - 13438, 2*i = -4*j - 0*i + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 9) + (-6 - -7) + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72355, 144708, 217061, 289414?\n\"Answer: 72353*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**11*v**(9\/4)*v**(-6\/5)\/((v**(3\/7)*v)\/v*v) assuming v is positive.\nAnswer: v**(1487\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -19. Let y be 418\/(-24)*l\/(-6). Let f = -103\/4 + y. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 + z. Let w(k) = -6*k**4 - 4*k**3 - 6*k**2 + 4*k + 82. Let i(v) = 4*t(v) - w(v). Differentiate i(r) wrt r.\nAnswer: 24*r**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.412763 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 + 5*t**4\/48 + t**3\/24 - 6*t + 2. Solve s(r) = 0 for r.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*z - 3*s, 0 = -2*z - 2*z + 2*s + 8. Suppose -44 = -z*x + d, -2*x - 3*d + 6 = d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = 3*w, -7*w + 9*w = -4. Let x = 63 + -104. What is the second smallest value in -5, s, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023312 to 4 decimal places.\nAnswer: 0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 2. Suppose 0 = w - 0*w - 5. Is 6 a factor of a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 10 = j, 503*k - 505*k = 5*j - 28 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 4. Suppose 0 = -5*x - 16 - 4. Let q be y(x). Suppose -4*o + 20 + 8 = q. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*a = -77*a + 49 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4484046675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:37 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/20 - (0 - 27\/(-4)). Let s = 0.8 - 1.8. Which is the closest to 1? (a) o (b) 1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - 162\/66?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 937 - 2220 + a + 1274.\nAnswer: -3*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(76)*-5 + sqrt(19))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + s = 27, -3*s - 15 = -5*h - 8*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133685*m**4*n + 111*m**3*n**3 - 607812*m**2*n**3 + 2*m**2*n**2 - m**2*n - 2*m wrt m.\nAnswer: 3208440*m*n + 666*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-124)\/(-6)*45\/20 and 101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2850*y + 23109585 - 23109585 to i + a*y and give a.\nAnswer: -2850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323 + 1492 + -6 + -71?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3381851 divided by -23\nAnswer: 147037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 76\/12)*-2373. Let v = -1091 - t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10 = 2*m. Let f = -311046 + 311056. What is the closest to -4\/9 in 0.3, m, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 13*x)*(x - 3*x + 0*x)*((-210*x - 191*x + 89*x)*(-3*x - x + 3*x) - 3*x**2 + 5*x**2 - x**2) to n*x + c*x**3 + s + l*x**4 + w*x**2 and give l.\nAnswer: -8138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 - 9128*j - 18231. Give x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2598*q**3 + 11*q**2 - q - 9. What is r(1)?\nAnswer: -2597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/29))**26\/(m*m*m*m**30*m**(-3\/19)) assuming m is positive.\nAnswer: m**(-17108\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215003567 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:48 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02441 rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/((-147)\/8550) + (-1)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/5, 2\/11, 2\/9, 39?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 169*n - 1198. What is y(33)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 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: Solve -22*a - 3*s = -26*a + 17, -3*a - 5*s + 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/n**(18\/13) assuming n is positive.\nAnswer: n**(-31\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.27323 - 0.09.\nAnswer: -8.36323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 3447. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6678 and -5.\nAnswer: 3.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 0.1, 0 in increasing order.\nAnswer: 0, 0.1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(1\/2)\/y)\/y)\/y)**(-40))**(-39)*((y**(-3))**(1\/18))**(-37) assuming y is positive.\nAnswer: y**(-23363\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -2\/13, 0.42?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2411 - 2426 - 115*q**2 - 8*q - 29*q**2 wrt q?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*c + 233*c - 116*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 2*v**3 + 0*v + (4*v**2 - 4*v**2 + v**2)*(-2 - v + 2) - v**3 - 6*v**3 - 4*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -25)\/(1\/(-1 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2573994*r**5 - 8211350*r?\nAnswer: -51479880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 + 0.57. Let q = 1 - f. Let d = -0.05000006 - q. What is d rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 3) - (-3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-0.198\nAnswer: -0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 36*c**2 + 0*c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5280*f + 8452*f - 561972 + 561972 in the form k*f + u and give k.\nAnswer: 13732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 7 = 5*a, -4*a - 2 = 3*u. Suppose -b = -15 + 10. Suppose 4*o = b*y + 12, -2*o + 12 = 2*o - 3*y. Solve -u = o*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360824 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*c = -112, -4*y + 226*c - 224*c + 100 = 0. Solve -20*j - 9 = -y*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -736000 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(228)*-6)\/(3*sqrt(27)*-6).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21109\/(-99))\/19 + 11. What is the smallest value in -0.208, 2\/9, i, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5*q**3\/3 - 3*q**2\/2 + 2*q + 21. Let l(o) = -14*o**2 + 8*o - 6. What is -4*l(v) - 11*r(v)?\nAnswer: v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g - 423 = -3*v, -4*v + g + 564 = 0. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ses when three letters picked without replacement from sstestssssssh?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.22 - 0.08. Suppose -f + 9 = 2*t, 5*t + f - 4*f - 6 = 0. Sort t, 4, g in descending order.\nAnswer: 4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681 is divided by 501?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7337 - -109976\/15. Calculate the common denominator of -143\/1330 and m.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bcejcuuauubauejebu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 206208.4 millimeters in micrometers?\nAnswer: 206208400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2055, -17 in ascending order.\nAnswer: -17, 6, 2055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1081 - 0?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 146396 + 146405 + 6*r**2 - 292801. Let y(n) = 514*n. Determine t(y(l)).\nAnswer: 1585176*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5750*d**3 + 2*d**2 - 6651*d?\nAnswer: -34500*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + sqrt(9)\/sqrt(3) + -4)*5 - -3*6*(2 + sqrt(12))*1)**2.\nAnswer: 1722*sqrt(3) + 5484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1.9. What is the smallest value in c, -3, -5\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 24)*19 + 160\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/252)\/((-1345)\/(-193680))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -432, 0 in ascending order.\nAnswer: -432, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*a = 421*a. Let b(k) be the first derivative of a*k**3 - 10 - 10*k + 0*k**4 + 3\/5*k**5 + 0*k**2. Differentiate b(x) with respect to x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182130877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1832\/7 + 3594377\/13734. Is 1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31167 - -31167. Is j bigger than -51\/389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 2\/7 (c) -2\/7 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*k - 1125345 + 3870100 + 4194488. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 3. Let x be h(-10). Let o = x - -24. Calculate the least common multiple of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-12 - -13) + -2 - 5 - 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 11*d**2 - 279*d - 6. Let n = 10 - 6. Calculate the lowest common multiple of n and u(-23).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 227. Calculate the remainder when r is divided by 28 + 3 + -8 - 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*m = -90, -5*m = -2*f + 4*f - 55. Suppose -f*h = -13*h. Let l = 0.3 - -0.7. What is the second biggest value in 0.3, l, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -68. Suppose -r + 5*i = -5, q*r + 0*r + 5*i = 20. Suppose d = -r*v + 225 + 259, 96 = v + d. What are the prime factors of v?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -535 - -1584. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 16*p + 12. Let a be r(15). Let q be 3\/4 - (-3)\/12. Let y be q\/(-2) + 7\/2. Put y, 2, a in decreasing order.\nAnswer: y, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1532275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31693880*n**3 + 49714076*n wrt n?\nAnswer: 190163280*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162.9 + -190. Let u = z + 28. Which is the smallest value? (a) -0.1 (b) u (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 1 + 1)*(3*r - 3*r + 3*r) - 4*r**2 + r**2 + r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 311417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -300, -2, -5, -1 in decreasing order.\nAnswer: 4, -1, -2, -5, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 4, m: 10, c: 2, b: 1}. What is prob of sequence msm?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84300?\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 78*o**3 + 8*o - 9. Is t(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 4. Suppose -g*f + 23 = -f + 2*s, 2*f - s - 13 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1792 and 93\/56?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*r - 2*w + 31, 2*r = 3*w + 40. Suppose 9*c = 4*c - r. Let p(v) = -v**3 - 5*v**2 - 6*v - 6. Calculate p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 3691*o**2 - 1228*o**2 - 1312*o**2 - 1234*o**2 to l*o**2 + d*o + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p + 40 = 0. Let d(l) = 6*l + 36. Let n be d(-6). Solve 0 = 5*t - n*t - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from ebeuebzze.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/120 + h**5\/40 + h**4\/12 - 31*h**3\/6 + 53*h**2. Let i(m) be the first derivative of p(m). Give i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/t)\/t*t)**44*t**(-2\/11)\/t*t**(-1\/2)\/t*t**(-1\/4)*t\/t**0*(t*t**3)\/((t**(-2\/7)*t)\/t) assuming t is positive.\nAnswer: t**(725\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 6.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {n: 15, w: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f. Let c(x) = -x**3 - x**2 - x - 1. Let t = 8 - 5. Let a(z) = t*m(z) + 4*c(z). Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/10)\/(227\/((-1450530)\/284)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u + 3. Suppose -3*k + 10 = -u. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + s + 4 = 0, -2*i + 0*i - 3*s = 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4.3, 3, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1182 and -9362.\nAnswer: 11065884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, c: 2}. What is prob of sequence ucu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -2*b**7\/21 - 334*b**6\/15 - 326*b**5\/5 + 662*b**4\/3 + 218*b**3 - 990*b**2 - 10706*b. Let z(r) = 0. What is r?\nAnswer: -165, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2708917573?\nAnswer: 2708917573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let v(m) be the second derivative of m**3\/6 - 3*m**2\/2 + m. Let l(o) = -2*o + 5. Let z(a) = -3*l(a) - 5*v(a). Give u(z(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -21*v + 14. Let f(p) = -7*p + 5. Give 11*f(b) - 4*q(b).\nAnswer: 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 793\/5 + -159. Which is the closest to 1\/13? (a) 0.1 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/((-80)\/6))\/((-2)\/(-8)). Suppose v*j - 13 = -10. Let y(s) be the first derivative of 7*s**4\/4 - 2*s**3\/3 + s + 134. What is y(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqmu when four letters picked without replacement from mzmcbuuqcbcumbccmc?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 18649836*c**2 + 4*c + 37300910*c**2 - 18651066*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*c + 20123 + 1075 = 0, 2*j + 10601 = c. What is j rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*p - 2*b**2 - 328*b - 158*p**2 + 10*p wrt p?\nAnswer: -2*b**2 - 316*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91675099 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -17*i - 1. Let j be o(1). Let d = -15 - j. Solve 2*s = 4*y + 6, y + d*s + 7 = 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 12*y**2 + 36*y = 0 for y.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27089 is divided by 476?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.26 - -0.46. Round u to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*i + 13063 - 15723 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 403*a = -406*a + 27815, 3*d + 3*a = 41727. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3*1 - (-112)\/(-28)) + -11. Let q(d) = -d**4 - d**2 + d. Let b(t) = 24*t**4 + 15*t**3 - 27*t. Let h(a) = n*q(a) - b(a). Factor h(g).\nAnswer: -3*g*(g - 1)*(g + 1)*(4*g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21105, -20933, -20639, -20223?\n\"Answer: 61*l**2 - 11*l - 21155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 6*n**3 - 2*n**3)*(-76*n**2 + 74*n**2 - 1 - 290*n - 120*n).\nAnswer: -2*n**5 - 410*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 42*b**2 - 240*b + 200 = 0 for b.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 1200?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/12 - v**3\/3 - 7*v**2\/2 - 14*v + 7. Let w(y) be the first derivative of h(y). Let j be w(5). Solve j = n - 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1162 (base 10) to base 2\nAnswer: -10010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -9, -44, -113, -228, -401, -644?\n\"Answer: -2*u**3 + u**2 - 2*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 785573971 to the power of 1\/3, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.45 + -48.35. Which is the smallest value? (a) w (b) -210 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:29 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 12. Let -7*r**3 + 0*r + p*r**2 - 2*r**4 + 6*r**4 + r = 0. What is r?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 s when four letters picked without replacement from emeqmsqecsqeqsasesq.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348.0251 months in decades?\nAnswer: 11.2335425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 6, 18, 44, 90?\n\"Answer: i**3 - 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - a**3 + 3 - a**4 - 6 - 3*a + 1 in the form f*a**3 + h*a + m + q*a**2 + r*a**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27910 divided by -65?\nAnswer: -5582\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 26 = 3*c, -99*c = -104*c - 3*q + 36 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 61 - 4*m - 3*m)*(140*m - 325*m - 164*m).\nAnswer: 2443*m**2 - 349*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1. Let u(s) = s**2 + s + 12. Calculate -d(m) - u(m).\nAnswer: -m**2 - m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2073 divided by 6\nAnswer: 691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20030, -20018, -20006?\n\"Answer: 12*r - 20042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/2 - 163*v**2\/2 + 3280*v + 3362 = 0 for v.\nAnswer: -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(6 - 2 - 11). What is the fourth biggest value in v, -4, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewwy when four letters picked without replacement from {w: 8, y: 5, e: 5}.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 23965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in -1, 132\/25, 133?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3*d + 4. Suppose 5*n = -p - 3*p + 55, -5*p = 4*n - 62. Suppose -2 + p = 2*u. Let f be v(u). Solve -w = 3*w + f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*l + 2*o + 2*o, -5*o + 40 = 5*l. Let g = 5 - l. Let z(v) = 4*v + 7. Let m be z(-2). Sort m, g, 5 in increasing order.\nAnswer: m, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 879439 or 879441?\nAnswer: 879441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3. Let w be ((-68)\/(-153))\/((-2)\/9). Let f(o) = -12*o**3. What is w*f(u) - 9*h(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1407 and 2211?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*u = 678 + 167 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 467291996 and 6492.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2617229 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 - 12056592*a - 18170176331808 = 0. Calculate a.\nAnswer: -3014148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 2)\/(14\/35))\/(295\/1711)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2 - 34\/(-2). Suppose -d + z = 4*d. Let -4*c + 4 + 12*c**2 - d*c**3 - 8*c - c**3 = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1182.75374403 - 17.\nAnswer: -1199.75374403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2 = 7*t + 17, -2*t = -f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375070 is divided by 186?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16 - 15 + 6 + 2*c + 4*c. Let a be l(12). List the prime factors of a - 4\/(-12)*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2657035 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -10 (c) 2\/389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 + 256. Calculate the remainder when 5\/(w\/(-6))*(-5 + -481) is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13442, -13440, -13438, -13436, -13434, -13432?\n\"Answer: 2*l - 13444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5 - 5 + 2*q - 4. Let u be c(6). What is the highest common factor of u and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3816521 and 14941?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 1. Let p be f(2). Let v(x) be the first derivative of -x**3\/3 + 5*x**2\/2 + 2*x - 38. Determine v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1710924\/11 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/4)\/(120\/80)*(-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 421452191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (4 + 7) - 0) + (36 - 34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419*p**3 + 2875*p**3 - 1286*p**3.\nAnswer: 170*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 14. Suppose -3*c + 1 + b = 2*n, -n = 2. Suppose -i - 2 + c*i + 4*i**3 - 6*i**3 + 3*i**2 = 0. Calculate i.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q - 1932*q - 1315*q = 243017 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2 + 56. Let z(u) = -u**2 - 4*u - 2. Let n be z(-2). Let k(g) = 3*g**n + 0*g + 0*g. Calculate d(k(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 0 in increasing order.\nAnswer: -21, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26320000 = 2*v - 6*v. Round v to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10098 = y - 12*y. Suppose y + 6 = 6*z. Calculate the greatest common factor of 44 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/6 + z**2\/3 + 25*z\/6 - 25\/3 = 0.\nAnswer: -5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 3*b**2 + 8*b - 3. Give x(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:44 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(6)*5))\/sqrt(5).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 0.4. Let s = c + 1.6. Let n = s - 1.09999991. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167499 (base 10) to base 9.\nAnswer: 274680","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**13*j)\/(j**(-9\/5)\/j))\/(j*(j*(j*j*j**(-40)*j)\/j)\/j*j**(-4\/15)) assuming j is positive.\nAnswer: j**(826\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(80) + 1*sqrt(80))\/sqrt(2) - ((sqrt(40) - sqrt(160))*-2 + sqrt(40))))\/((sqrt(648) - (1*sqrt(648) + sqrt(648))) + (2*sqrt(32))\/sqrt(4)).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277b68 (base 13) to base 8.\nAnswer: 3522535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -428 (b) -1\/31 (c) 1 (d) -0.3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -26 (b) 2 (c) -2\/5 (d) -36.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 136*l - 71*l - 69*l.\nAnswer: -255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90213*l**2 - 285578*l?\nAnswer: -180426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/27)\/((-804)\/(-297) - (-30)\/165)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30466\/1327 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51652\/9, -0.03, 1\/6, -2\/3, 3 in ascending order.\nAnswer: -2\/3, -0.03, 1\/6, 3, 51652\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 210?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 40*j. Let s be y(1). Let g(v) = 58*v**2 - 680*v - 678. Let p be g(-1). Calculate the greatest common factor of p and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/((-17928)\/(-810))*(-56)\/10.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 111204*h - 6906180.\nAnswer: 3*(h - 37130)*(h + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 19. Suppose -u - 256 = -s. What is s rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.143 times -64762\nAnswer: 9260.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9be686 (base 16) to base 4.\nAnswer: 212332122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4678149, -9356297, -14034445, -18712593?\n\"Answer: -4678148*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**6\/135 - i**5\/45 + i**4\/54 + 7*i. Factor q(m).\nAnswer: 2*m**2*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374111, 374113, 374115, 374117, 374119?\nAnswer: 374121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000110000010010111 + 10011010?\nAnswer: -11000101111111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 4*a - s, s = -4*a - 2. Solve -w - 2*y = 2, -10 = 2*w - a*w - 2*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - 2*y**2 - y. Suppose -6*q + 70 = 16. Suppose 5*d - 4 = q*d. What is x(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 945, 1427, 1909, 2391?\nAnswer: 2873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -0.048 (c) -3 (d) -4 (e) 0.5 (f) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*o**3 - 72*o**3 - 28*o**3 + (3 - 3 + o**2)*(o + 2*o - o) as g*o + b*o**3 + n*o**2 + k and give b.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-56))\/(42\/224). Let o(d) = d + 1. Let p be o(-1). Suppose -2*c - c + 72 = p. Solve -f*s + 4*s - c = 4*l, 2*l + 4 = -s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4 - 6. Suppose 0 = -n*q - 5 + 37. Calculate the remainder when q is divided by 2 + (-3)\/((-3)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 312735580.\nAnswer: 1876413480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/807128 and 85\/98.\nAnswer: 807128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -99*h + 2830. Is 7 a factor of u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14487 divided by 4380?\nAnswer: 4829\/1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -669*x. Let p(z) = -2*z**2. Give p(y(d)).\nAnswer: -895122*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34280*u**3 - 20602.\nAnswer: 102840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5*n + 1. Let p be k(9). Let u = 178 - p. What is the tens digit of (0 + -5)\/((-3)\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -3*c - 2*m, m + 9 = 2*c. Suppose 2 + c = j. Let s be (-2 + j)*(-2)\/(-4). Which is greater: 2\/251 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 - 0.7. Let t = v + -4.8. Let d = -26\/9 + 121\/45. What is the closest to -1\/2 in t, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-3 - -47))*-1. Let d(q) = q**3 - 6*q**2 - 6*q + 16. Let t be d(4). Let l = t + n. Solve -l*y + 0*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/5)*y)\/y)**(-32))**(-4)\/(((y*y\/(y**(-4\/7)\/y))\/(y\/(y\/((y*y**7*y)\/y))))\/(y*(y**(-7)*y)\/y*(y\/(y\/(y\/y**5)))\/y)) assuming y is positive.\nAnswer: y**(-1126\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224349 is divided by 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -144, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 5*p - 27. Let h be 75\/125 - 2*146\/p. Let c(u) be the first derivative of -4*u**2 + 6*u - 1. Let j(z) = -z + 1. Give h*j(f) + 2*c(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 10. Let q be u(-5). Suppose 3*g - 6*g - 58 = -5*x, x + 134 = -q*g. What is the common denominator of -3\/11 and (-5)\/(2 + g\/14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 1. Let r be w(-6). Let u be 889\/r - -1*1. Let v(f) = 128 - u + 2*f. Let i(l) = 2*l**2. Determine v(i(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8411502015 + 64.\nAnswer: 63.1588497985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 58.73242 milligrams?\nAnswer: 0.00000005873242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1964673.3 months to millennia.\nAnswer: 163.722775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -17 + 5 - -4 - (-15 + 18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4232 and 120?\nAnswer: 63480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (60 - 31) + 3 + -23?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -572239\/80 at least as big as -7152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgr when three letters picked without replacement from jrg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8401163*j + 42321563 wrt j.\nAnswer: 8401163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3 + 23. Suppose -u*r - 7 = 3*p + 5, -3*p - 3*r - 6 = 0. What is the smallest common multiple of 12 and p\/4 - (-78)\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4019?\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.0452\nAnswer: 0.1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*n**3 + (n + 2*n - 5*n)*(-2*n**2 + n - n) + 35*n**3 + 73*n**3 - 62*n**3.\nAnswer: 47*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5\/3, 1\/13, -7\/636 in descending order.\nAnswer: 5\/3, 1\/13, 0, -7\/636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3709*m**2*x**3 + m**2*x**2 + 3*m**2 + 35*m*x**2 - m*x wrt x.\nAnswer: -22254*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + p = -205, -4*p = -8*n + 3*n - 205. Let u = n - -44. What is the second derivative of -d - 8*d**3 - d**4 + 3*d**4 + 8*d**u wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*4\/(-8))\/((-161)\/168))\/(-1)?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -8*o - 1188. What is the first derivative of 30 - 57*k**4 + o*k**4 + 1 - 3*k**2 wrt k?\nAnswer: -12*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2806 + -0.0706. Which is the closest to k? (a) 5 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318299 - 165519. What is t rounded to the nearest one thousand?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*((6*(sqrt(28) - (sqrt(196)\/sqrt(7) - sqrt(28))))\/(sqrt(4) - sqrt(216)\/sqrt(6))*-1)**2.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Let c = 13 - 3. Let v = 6 - c. What is the closest to u in 1\/5, v, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46453.37 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41892946 is divided by 839?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - 16, -12 = -5*f - 3*p. Let s be ((-6)\/(-12))\/(4\/(-6) + f). What is the smallest value in -6, s, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:18 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*k**2 + 0*k**2 + 7*k**2 + 34*k**6 wrt k?\nAnswer: 4080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 175 = -33*w + 20*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 271957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -328, -328, -316, -286, -232, -148, -28, 134?\n\"Answer: f**3 - 7*f - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 31813 + 2*x**3 - 31814 + 13*x**2.\nAnswer: 8*x**3 + 13*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 11*m - 10. Let f be u(-12). Solve -f = -4*q + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*m = 371, -3*p - 2*m = -0*m - 221. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*z - 92. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139250722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -5, 0, 16, 215, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145702169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 17*v. Let x(a) = 84*a. Suppose -332*u + 323*u + 45 = 0. Calculate u*x(j) - 24*y(j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 96.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g*i**3*m - 2*g*i*m**2 - 140*g*i*m + 2*i**3*m**2 - 4*i**3 + 3 wrt g.\nAnswer: 6*i**3*m - 2*i*m**2 - 140*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 125356640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.08 and -0.07?\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-2 + 4\/5)\/((-11)\/165)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*v - 13*r*s**2*v - 7*r + 7*s**2*v - s**2 + 4*v with respect to r.\nAnswer: -2*r*v - 13*s**2*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 44*h**3 - 28 + 15*h**3 + 2 + 19*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t + 38*t - k = -136, -5*t + 5*k + 650 = 0. What are the prime factors of t?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 96166 = 2*y, c + 2*y = -c + 38472. What are the prime factors of c?\nAnswer: 2, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 351. Give w(0).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 10, 3*h - j - 164 = -5*j. Let t be ((171\/18)\/19)\/(2\/(-124)). Let z = h + t. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u**2 + u + 17. Let d = -201 + 201. What is k(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -49*n + 3. Give a(3).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmmgmxqixxgigiq. What is prob of sequence qm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73\/5590 + -1\/430. Let u be -1 + 12\/3 + -1. Let t be ((49\/(-3))\/7 + u)*0. Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -9528477.\nAnswer: -8\/9528477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 50. What is the second derivative of 41*c**q - 6*c**3 + 2*c - 16*c**3 wrt c?\nAnswer: 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103095*-1.68\nAnswer: 173199.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 12) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let i = 322.24 + -0.24. Let h = i - 326. Which is the closest to w? (a) 1 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2568, 5348, 8114, 10866, 13604?\nAnswer: 16328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w**2 - 2*w + 1. Let f be a(1). What is the smallest common multiple of 1*-3*f\/15 and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*d + 1061 + 5243, 0 = 3*d + 12. Suppose 4*l = -f + 643, 3*l + 937 + x = 4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33*-34\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.038+-12.9\nAnswer: -12.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(784)*2 + sqrt(784))*-4)\/((1*sqrt(800) - sqrt(800))*-4 + sqrt(800)))**2.\nAnswer: 3528\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-8\/9)*m**(-1\/4)*m*(m\/(m\/m**(1\/6)))\/m*m)\/((m**6\/m**(4\/7))\/(m\/(m*m**(-1)*m))**(-32)) assuming m is positive.\nAnswer: m**(-3635\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*m + 22 = 0, -5*n + 7 = -0*m - m. Suppose 0 = -2*d + 2*a + 8, -a + n*a + 2 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 2 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5774?\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3404075 (base 12) to base 8\nAnswer: 45775531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7816914 + 0.2?\nAnswer: 7816914.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2611, 5220, 7829?\nAnswer: 10438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40848869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - -13 - (-8 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 111?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0) + 199 + -206?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.042 (c) 1\/2 (d) 6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 503526.8?\nAnswer: 503527.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2 - 7*t - 1. What is f(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + x + 15 + 9*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.7 * -3.3.\nAnswer: 45.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321 - -1322?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -349.422 * 0.2\nAnswer: -69.8844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440994 and 2854394.\nAnswer: 2194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 3 - 3)*(2*f - 1 + 1) + 10*f**5 + 3*f**5 + f**5.\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 67*p - 19. Let w be f(-8). Suppose 2*c + w*v = 90, 5*v - 20 = -10. Calculate the least common multiple of c and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/60 - 2*t**2. Let b(c) = 3*c - 40. Let h(p) = -6*p + 90. Let d(y) = 9*b(y) + 4*h(y). What is q(d(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:18 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.49678 less than -7705472?\nAnswer: -7705480.49678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2044)\/(-20) - (-1)\/(-5). Let b be k\/14 - 4\/14. Calculate the highest common divisor of 49 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1\/4, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 2, -10, -4, -3, -22 in increasing order.\nAnswer: -22, -10, -4, -3, 2, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*r + 17, 17*n = 22*n - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840 and 207962832?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2017594 times 0.2\nAnswer: 403518.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 15848665?\nAnswer: 15848665","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -4749a (base 12) in base 3?\nAnswer: -11212022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 167 + -164 + -54 + (42 - 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3 (c) 0.13 (d) -618 (e) -19 (f) 3 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-21 - 0) + 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 5*k**2 - 5*k + 4. Let t be s(2). Suppose 110 + 706 = t*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0.2, 0.125, -2\/3.\nAnswer: -2\/3, 0.125, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38 and -688.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 9*s + 5*s)*(-1 - 15 + 2) to the form c + v*s and give v.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53031374 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53500?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/77 and -75\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3759684.\nAnswer: 2, 3, 313307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*i = -o + 358, -2*i - 6 = 0. Does 37 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-165)\/10*1167*2\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 + 312 = 10*q. What is the remainder when 228 is divided by q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2201, 2357, 2619, 2987, 3461?\n\"Answer: 53*h**2 - 3*h + 2151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4691 divide 31879773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 394834\/35 + -11283. Calculate the common denominator of p and -79\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let h(d) = 120*d. Calculate h(s(y)).\nAnswer: -120*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/f**(2\/7)*f)\/f*f)**(14\/5))**(-45)\/(((f\/(f*f\/(f\/((f**(1\/6)\/f)\/f))))\/(f*f**0))\/(f**1\/f)**(1\/28)) assuming f is positive.\nAnswer: f**(-2813\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-264)\/4*-3*(-6)\/(-27). Let c = 95 - 137. Let r = c + u. Solve -20 = -6*t + r*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10130243 (base 5) to base 8\nAnswer: -242376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 407351656268857 and 0.5?\nAnswer: 407351656268856.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.237034 + 0.20776. What is y rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121\/399 - 1\/57. Let u = 13 - 13. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 3*n**2 + 0*n + 2 - n. Let c(s) = -1 + 2 + 8*s**2 + 4*s - 5*s - 7*s**2. Give -2*c(h) + o(h).\nAnswer: h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1106115)\/240*8\/6. Let z = 5289 - 11428. Let l = z - p. Calculate the common denominator of l and -23\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -727 - 151939?\nAnswer: -152666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2759445 = 9*d + 111*d - 3*d. List the prime factors of d.\nAnswer: 5, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxmxkxkjjjk. What is prob of sequence mm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*v + 1868*v + 1645*v + 232560 = -246*v for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 = 17. Let d be (-6)\/z + -2 - -7. Solve -3*k + 3 = 3*f, 2*k = -3*f + d*f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 28 = -3*o, -2*o - 3*o = 25. Suppose -84 = -j*d - d. Solve 0 = 5*g - d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -21*q - 95. Give z(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from xaxnunxatzxuxnx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -28*u**2 - u + 1. Let a be 1\/1 + 0 + 0. Let p be q(a). Let t be (p\/10)\/((-3)\/15). Calculate the highest common factor of t and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3\/2 + 24*z - 13. Let d(j) be the first derivative of r(j). Let s(m) = -4*m**2. Calculate s(d(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i - 254*i**2 + 268*i**2 - 2 - 3*i + 60. Is u(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1*21\/(-63)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 11 = f, -2*z - z - 5*f + 34 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -36?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2\/7 + 64*h\/7 + 60\/7 = 0. What is h?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70b1 (base 14) to base 11.\nAnswer: 13603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 135. Let m be k\/(3\/(-2 - 1)). Let n = m + 49. Calculate the least common multiple of n and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -212, 29, 270, 511?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15121, 14839, 14511, 14137, 13717, 13251, 12739?\nAnswer: 12181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15722 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvvqvvypbuvvb. Give prob of sequence qq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -68. Calculate the remainder when p is divided by 87\/(-27) + 3 + (-1315)\/(-45).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 8*m**2 - 8*m + 7. Let c be g(-6). Let j = 19 - c. Let x = -11 + j. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.5 - -34.5. What is the nearest to -1\/2 in 2, p, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*l + 5538 = 5704, -5*i - 20*l - 190 = 0 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82914?\nAnswer: 2, 3, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*x - 308, -3*x - 2*x - 136 = -u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 9) in base 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 3. Let s(t) = -126*t**2 - 20*t - 2. Determine i(s(p)).\nAnswer: 756*p**2 + 120*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 8 = 3*y + 2*n, -y - n = -4. Let c be (5\/(-15)*9)\/(-1). Suppose 5*j = -4*g - y*g + 168, 3*j = -c*g + 102. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08 and -490936132.\nAnswer: -490936131.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**34*d*d)*d)\/(d\/(d\/(d*d**(-23)\/d*d))) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-2)\/(-2))\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 15*f - 1. List the prime factors of h(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11311113 - -444?\nAnswer: -11310114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(77)*-3 - sqrt(77))*5)\/((sqrt(42) + sqrt(2058) + sqrt(2058)*-3)\/sqrt(6))*1.\nAnswer: -70*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytetyttyyu. What is prob of sequence etu?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u - 4*u - u)*(-3*u - 3 + 3) - 4*u**2 + 5 - 5 + 343*u**2 - 230*u**2 - 687*u**2 in the form w*u + z + x*u**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13446 and 4215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 517742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 9. Let k(m) = -m - 1. Let f(w) = 6*k(w) + x(w). Determine f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.09, 5, -2 in ascending order.\nAnswer: -2, -0.09, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/15*(-38)\/114.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, 5 in descending order.\nAnswer: 22, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.528 - -0.6. Let r = g - 0.07200074. Round r to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9*p = -24. Solve 0 = 3*i + y - 5, p*y = -i - 2 - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose -6*p = -5*p - 14. Let t = p - 5. Solve -t = y - 4, -3*l = -2*y - i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u - 15. Let j = u - -21. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let t(y) be the first derivative of -7*y**4\/4 + 67*y + 11. Let h(b) be the first derivative of t(b). Determine h(m(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 584440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a factor of 1111311548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*x - 28 = 0, 49 = a + x - 6*x. Factor 98\/5*p**3 + 252\/5*p**2 + a*p + 16\/5.\nAnswer: 2*(p + 2)*(7*p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 29. Suppose 50 = h - 3*j, 5*j - 67 = -3*h + 41. Let k = h + p. Solve q - 16 = -k*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.475*2.\nAnswer: -78.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/87)\/((-726)\/52635).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x**5 + 24*x**2 - 14 - 10*x**3 - 25*x**3 + x**5 - x**3 + 9 wrt x?\nAnswer: 60*x**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 + 11 = 0. Let k = d + 28. Let c = 36 + -17. Calculate the remainder when c is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 5. Let f = 10 - 9. Let s(x) = 9 + f - 6 - 2*x. Suppose -5*l = -3 - 22. Determine l*s(j) + 4*m(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48384\/45 + 2\/(-10). Suppose b = 4*h + 15. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**21)**36)**(-41))**(6\/19) assuming r is positive.\nAnswer: r**(-185976\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -1. Let r(x) = -9*x - 1. Let p be r(-2). What is the least common multiple of (14 - p)*(-4)\/6 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 12 + 3*f + 2*f + f. Suppose -2*w - 5*r = -26, 0*r = -w + 4*r. Let j be z(w). Are j and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (-12)\/4) + 7. Which is greater: a or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5. Let g(n) = n - 24. Let j(t) = g(t) - 5*m(t). Let q be (16\/(-10))\/((-4)\/(-10)). Let z(d) = d + 2. Determine q*z(b) + 9*j(b).\nAnswer: 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (69\/6)\/(1\/4). Let p be (-2 + 52)\/10 - 5. Let b = p + v. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -723*c**3 - c**2 - 109*c wrt c?\nAnswer: -4338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 5*z**3 - 6*z**3)*(-89 + 10 - 5).\nAnswer: 336*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/7 + 0)*5866\/1676.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -0.4, -0.1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*i + 233*i - 221*i = 10329 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkkjjjjjjjjjjjkjjjk. What is prob of picking 2 j and 1 k?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 214 = 111. Let c be (-1)\/(-4) + p\/12. Let d = c - 43\/6. Is d less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 402\/33 - 18\/99. Let o = 55 - y. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 2 y when four letters picked without replacement from nyyrnryetererrrryyy.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.5. Let s = 8 + -9. Which is the biggest value? (a) p (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 - 18*c**2 + 29*c**2 - 15*c**2 - 19*c**2 + 40*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-4\/19)\/(n**3\/n*n)**(-1\/36) assuming n is positive.\nAnswer: n**(-1\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.3. Let u = -0.56 - -0.66. Which is the nearest to u? (a) f (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 3. Is (237\/v)\/(3\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18884 and 1140?\nAnswer: 5381940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c - -bd?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.24852591578 and -31.\nAnswer: -31.24852591578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 58\/5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*l - 4*a**2 + 54364*l + 11267 wrt l.\nAnswer: a**2 + 54364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 + -1.7. Let c = o + -0.6. What is the closest to -0.1 in -0.4, -7, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8217046 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 3777617*g**2\/2 + 1783799719240*g + 1783797830432.\nAnswer: (g + 1)*(g + 1888808)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(300)\/(5*sqrt(1000) + sqrt(10)))\/(sqrt(864)*5*-2)*5.\nAnswer: -sqrt(5)\/1224 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62 or -64?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1403.\nAnswer: 2\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1919058.\nAnswer: 2, 3, 227, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 45, 56, 69, 84?\n\"Answer: j**2 + 6*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9750 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/376 and -41\/1170.\nAnswer: 219960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3 + sqrt(684))**2 + sqrt(684)*1 + -3)*3.\nAnswer: 270*sqrt(19) + 2190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2795 - 13547*c**2 + 7481*c**2 - 10348 with respect to c.\nAnswer: -12132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p + 472. Determine m(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + j - 2. Let q be z(-2). Let b = -6 + q. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*u + 240, h - 60 = u - 6*u. 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: Suppose -u - 3*u = 0. Suppose 5*t - 6*t + 54 = u. What is the highest common factor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 502855896 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 + 2*n**2 + n**2. Let f(o) be the third derivative of -o**6\/360 - o**4\/12 - o**2. Let v(t) be the second derivative of f(t). Give v(d(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -65118280.\nAnswer: -1\/13023656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 2}. Give prob of sequence aamm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -11. Suppose -4*h = 2*g - 0*g - 34, -c*g = 3*h - 22. Suppose 0 = -h*u + 93 + 60. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 27.73, 4, 104\/175, 0 in ascending order.\nAnswer: 0, 1\/2, 104\/175, 4, 27.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -90.049. Let b be ((-12)\/(-45))\/(4\/(-10)). Is l greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sis when three letters picked without replacement from isiississiiiiiiisi?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**7\/5040 + c**5\/30 - 3*c**2. Let h(o) be the third derivative of n(o). Let a(j) = -9*j**2. What is h(a(q))?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*u - 1451, -3*b - 4*u - 588 = 277. Is (b\/2 - 1)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464795 divided by -92959?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4*1)\/(5\/(-10)). Let v be (-26)\/3*468\/b. Let f = -2562\/5 - v. Find the common denominator of f and 29\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 143 = -2*o - 3*o, -o = 5*q + 19. Let x = 82 + o. Let f = -30 + x. What is the greatest common factor of 161 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176.5 + -172.5. Which is the second biggest value? (a) 2.15 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*k = 92, -2*k - 62 = -3*o - 0*k. Suppose 0 = 2*s - 5*q - 39, 2*q - o + 4 = -4*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5673 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 1. Let y(c) = -6*c + 5. Let w(h) = 12*h - 10. Let n(r) = -2*w(r) - 5*y(r). Let t(p) = 10*g(p) - 2*n(p). Let o(i) = -80*i. Determine o(t(z)).\nAnswer: 160*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -8426.\nAnswer: 23\/8426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-41)\/(-13) - 18\/117. Let u be (-12)\/(-2)*(g + -2). Let d(a) = 4*a + 0*a**2 + 3*a - 2*a + 3*a**2. Let v(k) = -3*k**2 - 6*k. What is u*d(s) + 5*v(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from jbwbngj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3 + 63*w**2 + 552*w + 1136 = 0.\nAnswer: -4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45981\/6864 - (-1)\/(-16)) + -7.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7791303655 to the nearest integer?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -41, -78, -141, -236?\n\"Answer: -k**3 - 4*k**2 + 2*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((14 - 2) + -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) -1\/19 (b) 2\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -878828*h**2*p + 55*h**2 - 2*p - 108452731 with respect to h.\nAnswer: -1757656*h*p + 110*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3225232 - -225?\nAnswer: 3225501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 86*u**2 - 868*u + 784.\nAnswer: -2*(u - 28)*(u - 14)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3484, 6960, 10426, 13876, 17304, 20704, 24070?\n\"Answer: -v**3 + v**2 + 3480*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3926.888 + 3951. What is a rounded to 1 decimal place?\nAnswer: 24.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2 (c) 17 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 15 - 15 + 2*a. What is l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/7, 2, 58, 60.1 in increasing order.\nAnswer: -13\/7, 2, 58, 60.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2663*l**3*r**4 + 14*l**3 - 2*l**2*r**2 - l*r**3 - r**5 + 13062*r**2 wrt r.\nAnswer: -63912*l**3*r - 6*l - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14373*r**2 + 28739*r**2 - 14364*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4053 (base 11) to base 4.\nAnswer: 1110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17290 is divided by 531?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k**2 - 32*k + 6. Let s(h) = -2*h**2 + h + 1. Give q(t) - 6*s(t).\nAnswer: 2*t**2 - 38*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7943*a + 9201*a + 3774 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/36 - 154\/6. Let n = p - -39. Let b(v) = -v**3 - 3*v**2 - 3*v - 4. Calculate the remainder when n is divided by b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669748497?\nAnswer: 3, 11, 83, 439, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008125102 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t + 6. Suppose -15*y = -10*y - 5. What is the least common multiple of t and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4871860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/21844 and -25\/8?\nAnswer: 43688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g**3 - 4*g**2 + 52333*g + 52333. What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 - 10 = 0, -w = -3*j - 17. Let s(a) = -a**3 + 30*a**2 - 20*a - 46. Is s(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*u + 85, 4*l - l - 3*u = 60. Suppose 6*y - 40 = 2*y. Suppose 5*g + 215 = y*g. Calculate the remainder when g is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -83*b**6\/15 + b**5\/60 + 5351*b**3\/6 - 4174*b**2. Find the first derivative of o(w) wrt w.\nAnswer: -1992*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 23*z + 29. Let k be n(-24). Suppose 5*v - 2*q - 13 = 0, 5*v - 4*v - k = q. Which is the nearest to v? (a) 3 (b) -0.16 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1)*-1.\nAnswer: -6*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6473 greater than -6473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h, -3*z + 2*z - 4*h + 22 = 0. Solve 15 = 2*r + 3*k, -z*r + 15 = -r + 3*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 m when four letters picked without replacement from mjjjcmmm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 8) to base 6\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 13*p**2 + 5183*p + 62345. What is u(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {n: 1, c: 1, p: 3, u: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 48840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + v - 161 = 157, 3*c = v + 318. What is the tens digit of -3*(c\/(-3) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2.758.\nAnswer: 13.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 11*t - 13. Give b(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16158429 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21268679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 0)*(5 + 3 + 0) - 2 + 2 - 1)*(3*a - 4 + 4).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 13326*x**2 - 40014*x.\nAnswer: 2*x*(x - 3)*(2*x + 6669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*((1*sqrt(270))\/sqrt(10) - sqrt(27) - -5*(sqrt(27) + -2*sqrt(27) - sqrt(27)))\/(sqrt(90)\/((sqrt(1210)*-1 - sqrt(1210)) + sqrt(1210))))**2.\nAnswer: 907499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31779, -31768, -31769, -31788, -31831, -31904, -32013?\nAnswer: -32164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 3. Let b be v(-2). Let w(l) be the third derivative of -9*l**6\/40 + l**4\/12 + l**3\/6 - 2759*l**2 - 3. Give w(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q, 2*h + 15*q = 20*q + 621. Let m = 312 - h. What is the closest to 1\/3 in 0.1, -2, m, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**3*n**3 - 896*m**3*n - 21*m**2*n**3 + 4*n**2 wrt n?\nAnswer: 30*m**3*n - 126*m**2*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 119. Let p(b) = -4*b**2 + 2*b**y - 8 + b**2 + 11*b. Give p(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164995 - 160564 = -211*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -3 (c) -15517 (d) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-7))\/(8\/28). Suppose 0 = g*n - 16 - 2. What is the third smallest value in 2\/17, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -1 (b) -21\/127 (c) 1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2578 - -3152. Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 1, s: 1, g: 5}. Give prob of sequence gsg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 - -0.04. Let m = 4.358 - -0.042. Let k = -4.4 + m. Which is the closest to k? (a) 2 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 - 6129*a**2 - 29935997*a - 47825178005\/3.\nAnswer: -(a + 605)*(a + 8891)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6065, 25843, 59335, 106541, 167461, 242095?\nAnswer: 330443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -298*j + 148*j - 24 - 64*j**3 + 150*j wrt j.\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63\/1323 - 520\/(-105). Solve 3*l - b - 6 = -1, g*b = -25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*f + 343 - 114*f - 121*f - 123*f - 106*f.\nAnswer: 18*f + 343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -38*180\/(-2268)*(-3)\/(-10) - 1. Which is the third smallest value? (a) 5 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15615.804*0.4\nAnswer: -6246.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*p = 2 + 1, 5 = 5*d - 3*p. Solve s - d = -0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 8 - 39*q - 9.\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/5*c**2 - 1\/10*c**3 + 13\/10*c + 0 = 0 for c.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*n + 3*j - 4684 = 101*n, -1160 = -n + 2*j. Calculate the highest common factor of n and 384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose -5*d - h + 14 = 0. Suppose -3*s - 3*x = d*s - 78, -4*x = -5*s + 71. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b*c**3 - 6*b*c**2 - 1074*b*c + 2*b - c**3 + 12396*c**2 - 5*c + 52 wrt c?\nAnswer: 24*b*c - 12*b - 6*c + 24792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2743044.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 66596 = s, -b + 2*b = -4*s + 16649. Suppose -b - 9151 = h. Round h to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12893 or 12892?\nAnswer: 12893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 277 + 242 = -81*g + 48, -4*g = -3*h + 9 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.1, -4, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 54*r - 60*r. Suppose 5*w = 384 + 216. What is the least common multiple of r and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -477, -406, -321, -216, -85, 78?\n\"Answer: n**3 + n**2 + 61*n - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16788153?\nAnswer: 3, 19, 294529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001173787 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let b(u) = -2*u + 3. Let d(n) = b(n) - 3*x(n). Let y be d(0). Suppose -83 - 508 = -y*v. Does 52 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753055 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573345319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 13 - 10*u + 8*u in the form s + m*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 + 20*u + 1. Let b(t) = 17*t**2 - 80*t - 4. Let p(w) = 2*b(w) + 9*o(w). Let i be p(10). Is (-631)\/((i + 3)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - 2. Suppose 3*i - c*z + 5*z = -45, i + 15 = -5*z. Let t be (12\/(-10))\/(i\/50). Solve 0 = 5*k + 3*r, -3 - 2 = -5*k - t*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/25 - 21\/(-15). Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9928 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/3)\/(-12))\/((-23)\/1012)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.07, -2\/11, 5, 21?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 2\/35 (b) 5\/3 (c) -2\/9 (d) 3 (e) 0.4 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*h + 13, -k + 5*h + 4387 = 4403 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 284, 5, -3, -593 in ascending order.\nAnswer: -593, -3, -2, 5, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 348129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -32*u**2 + 8726*u - 401890. Calculate j(214).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 - -99. Let d be -1*-1*(2 + 0). Suppose -4*b = d*l + l - 73, v = -5*l + 4*b + 111. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(56)\/sqrt(8) + 1 + sqrt(448) + 0 - 4*((-1*sqrt(56) + sqrt(56))\/sqrt(8) + sqrt(175) + -1))*6.\nAnswer: -60*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 406*k**3 - 2*k**2 + 5*k**2.\nAnswer: 406*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(275))\/sqrt(5) - sqrt(55)) + (sqrt(165)*-1)\/sqrt(3))\/(sqrt(15)\/sqrt(3)*3 - (sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(16)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.76 + -1.06. Let i be (-2)\/5 + 34\/10. Let x be i\/(-2) + 1\/2. Which is the smallest value? (a) 5 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 4. Let g(j) = 11*j + 10. Let k(u) = 5*b(u) + 2*g(u). Let v(f) be the second derivative of -3*f**4\/4 + f**3\/6 + 6*f - 6. Give v(k(y)).\nAnswer: -81*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198140.31 nanoseconds to days.\nAnswer: 0.000000002293290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-15)*-3*(-7 + 7 - 300\/(-45))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*b - 4 = 101*b. Solve -8 = -6*i - b*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 3, e: 9, u: 1, c: 2}. Give prob of sequence uzt.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6256 - -6290. Calculate the greatest common divisor of f and 1649.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by (0 + 1)\/(-2*(-5)\/410)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49724 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 214499189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -16. Let m(n) = -n**2 - 6 - 4*n - 2*n + 0*n. Let c be m(t). Solve 0 = c*b + b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -760 + 386. Let u = -374.4 - a. Sort 4, -1\/5, u in descending order.\nAnswer: 4, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:43 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -598 + 792. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1416 = 89*q - 85*q. Is 20 a factor of q\/(-3)*(-55)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mll. What is prob of sequence lml?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7684 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 29*u = 57*u. Factor 24\/7*f + u - 100\/7*f**2 - 36\/7*f**3.\nAnswer: -4*f*(f + 3)*(9*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198143 is divided by 622.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 16 - 5)*(-2 - 2*l + 2)*(-l**2 + l**3 + l**2).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c7d (base 16) in base 8?\nAnswer: 26175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/sqrt(7))\/sqrt(9) + sqrt(3) + -3 + sqrt(192))**2.\nAnswer: -60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008) + -5 + sqrt(1008))**2 + 4 + sqrt(1008) + (-5 + sqrt(21)\/(sqrt(3)*-3))**2.\nAnswer: -638*sqrt(7)\/3 + 36781\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 5)*(-4*a + a + 4*a) + 10 - a - a - 12.\nAnswer: -6*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10529.03 to the nearest ten.\nAnswer: -10530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*v + 16, -2*v - 2*z + 2 = -2. What is the lowest common multiple of 5 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 + 5*k + 1. Let z = -10 - -6. What is the tens digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minutes before 5:05 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 8*r**2 - 5*r - 4. Let t be b(-8). Suppose -p - x + t = 4*p, p - 2*x = 16. Let n = -1 - -1. Solve n*u - p = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6453 (base 9) in base 3?\nAnswer: 20111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**3 + 2*f**2 + 2*f + 1. Let o be z(-1). Let u be 0 - -1 - (4 - o). Solve -u*l - 4 = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 23*f**2 + 204*f + 11. Let a be t(13). Calculate the highest common divisor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 - o**3\/3 - o - 2. Let k(q) = 5*q**3 - q**2 - 5*q**3 - q**3. What is k(y) - z(y)?\nAnswer: -2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 13*v - v + 126 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 55 - 3*p**2 + 58)*(-p**2 - 1 + 1)*(-4*p - 4*p + 5*p).\nAnswer: -9*p**5 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 5*j - 35, 9*w - 5*j = 7*w + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-13 - -6) - (3 + 3) - 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*i - 4*a - 4 = 0, -4 = -4*i + 5*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 108. Suppose -5*d - 5*x + 695 = 0, -10*x + g*x - 272 = -2*d. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6524, 6521, 6518, 6515, 6512?\n\"Answer: -3*v + 6527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/21 - 28*n**2 + 226318*n\/7 + 3409220\/21 = 0 for n.\nAnswer: -746, -5, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 10*l**2 + 115784*l - 69474 = 0.\nAnswer: -11579, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2545.\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 321 = -10*h. Let y(z) = -z**2 + 16*z - 11. What is the remainder when h is divided by y(12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o - 73. Calculate the remainder when 237 is divided by n(11).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 18*l - 18. Let o be w(13). Let n = 94 - o. Solve 4*t - 2*t = -n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a74 - c311?\nAnswer: -967b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0802024 rounded to 4 decimal places?\nAnswer: 0.0802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-5*18\/(-15). Let t be (1\/3)\/(2\/m). Let v = -45\/133 - -1\/19. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90917.722 rounded to the nearest one thousand?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, w: 11}. Give prob of sequence wwee.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2*r, -299*r = 3*i - 151*r - 144*r - 60 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-3*f + 0*f + f + (2*f - 3*f + 2*f)*(1 - 3 + 1)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = -y, -y - 48 = -5*y - 5*a. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101110101111101001 (base 2) to base 5\nAnswer: 341032220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*j - 6 - 4, 4*u = -2*j. Suppose 0 = u*h - 5 - 3. Put h, 0.5, -1 in descending order.\nAnswer: h, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 0*t + 15 - 5*t**5 + 4*t**2 - 44\/3*t**3 + 35\/2*t**4. Find k such that v(k) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87\/35 - 11\/5. What is the closest to z in -5, -1\/7, -3\/14, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-12) + ((-19705)\/(-15) - 5).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9894.687652 to the nearest 10.\nAnswer: -9890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 275 = 685. Calculate the least common multiple of 120 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1582*b**3 + 10*b**2 - 2.\nAnswer: -9492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 27*d. Let x = -51 + 60. Let y(g) = 5*g + 2*g + g - x*g. Give h(y(z)).\nAnswer: 2*z**2 - 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -53, -1\/4, -0.2, 19\/6 in decreasing order.\nAnswer: 19\/6, 5\/3, -0.2, -1\/4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 c when four letters picked without replacement from {d: 8, z: 2, c: 3, f: 3}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -20. Suppose 2*c + 5*m + 0*m = -41, -5*c - 60 = 4*m. Put c, l, -3, -4 in descending order.\nAnswer: l, -3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 - 5*o - 5. Suppose 3*z + h = -0*h + 13, -5*z - 4*h = -17. Let m be 2 - z - (-1 - -2). What is the remainder when p(m) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 7:22 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1643 - 21?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 67. Suppose 4*i = -i + 5. Let t be i - (35\/(-2))\/(-5). Is v >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9804.\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*k + 2*u - 16, u - 4 = -3*k. Let b be (2 - 3) + 1 + k. Suppose -108 = -2*f - b*f. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258042 divided by 23?\nAnswer: 141654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Suppose 2242 = 10*y + 9*y. Let r(a) = -72 + 47 + 25 - y*a. Give l(r(p)).\nAnswer: -13924*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3076, -6316, -9556, -12796, -16036, -19276?\n\"Answer: -3240*i + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 - -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983, -994, -1005, -1016?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/287*1*(-182)\/14?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (20 - (22 + 29)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/1*45\/105. Let x(z) = 14*z - 9. Calculate the least common multiple of x(n) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 4 + 0)*(-2)\/2. Is 46 a factor of 137 + d + 12\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-115 + 7)) + (16 - (-15 - -43))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 12413 = 12205 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 42 = 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62505762?\nAnswer: 2, 3, 11, 53, 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*2\/(-5)*390\/8736.\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13014 = 9*n + 3294. Suppose -b = 2*l - 270, -4*b + n = 3*l - 0*l. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*o + 3320. Suppose 53 = 3*n - o. What is the second derivative of -239 + n + 5*x**2 + 2*x wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.08 - -0.08. Let f = 7 + a. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 9*n + 3*k + 16, -4*n + 4*k = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a millimeter in micrometers?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 6.9825?\nAnswer: 3.49125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 6*s - 2*s**2 + 2*s**2 to the form l*s**2 + d*s + k + v*s**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.1971 - -10.29. Let j = -0.0492 + g. What is j rounded to three decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56.9 and -1.42?\nAnswer: 55.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*r**3 + 5*r**4 + 4945*r**2 - 5017*r**2 - r**4.\nAnswer: 4*r**2*(r - 2)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 758786 divided by -59.\nAnswer: -758786\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*k + 116, -3*k + 3*i + 2*i = -56. Calculate the lowest common multiple of 12 and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 5 (c) 0.88 (d) 6\/11 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + u - 1. Give h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 27*j - 31. Give q(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**3\/3 - 5*k**2\/2 + 5*k + 55. Let g = 8 - 3. Let r(s) = s**2 - 4*s + 4. Give g*r(l) - 4*n(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35611388339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7526 - -4625. List the prime factors of r.\nAnswer: 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 63490205*s**2 - 203*s - 2. Let g be l(1). What is g rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwgw when four letters picked without replacement from {g: 5, k: 3, m: 6, y: 2, w: 2}?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 162. Let b(n) be the first derivative of -n**2\/2 + 82*n + 111. Let c(m) = 5*b(m) + 2*h(m). Let q(i) = -2*i**2. What is q(c(r))?\nAnswer: -2*r**2 - 344*r - 14792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1812 = 15*g - 60534 - 148203. Does 89 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 + 3*k - 3. What is v(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 535\/6 + -266\/3. Which is the nearest to d? (a) 2\/15 (b) -6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**34\/(((m**(-13)*m)\/m)\/((m**(-25)\/m)\/m)) assuming m is positive.\nAnswer: m**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3 = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 35 = -7*o + 12*o, -2*f + 30 = -2*o. Solve 9*d = -f*d + 57 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 8*d - 5. Suppose 4*b + b - 35 = 0. What is f(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82\/299 - -1225\/1196. Which is the closest to 1? (a) -0.4 (b) x (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**16)\/(p*p\/p**28) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 1, k: 3}. Give prob of sequence kkas.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -83190889\nAnswer: 2\/83190889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 y, and 1 i when three letters picked without replacement from {i: 4, y: 1, d: 5, u: 1, h: 1, n: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585\/1690*(-6)\/18?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 3, -28, -83, -168?\n\"Answer: -g**3 - 3*g**2 + 3*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7284*v = 7274*v - 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpp when three letters picked without replacement from pmpppppppmpppmp?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 31 = -10*n - 54, -n + 8 = -3*c for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 855.1353 centuries?\nAnswer: 8551.353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -343*u - 15. List the prime factors of f(-15).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -196 - -205 - (0 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5455148 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1953 (base 11) to base 8\nAnswer: -4656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 246*t - 47264. What is m(227)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6*x - 7. Let d be l(-5). Let r = 41 - 40. Let v = -2.5 + 2. What is the closest to 1\/2 in v, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0555997 millilitres to litres.\nAnswer: 0.0000555997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 18*a - 354 = 0. Let q = 133 + a. Solve -5*i = -3*j - 6, 0*j + q = 3*j + 2*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -268*z - 2377. Calculate the remainder when 1991 is divided by i(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (0 - 7)) + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 75, 106, 119, 108, 67, -10, -129?\n\"Answer: -g**3 + 50*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -741\/5 <= -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -919035.3 + 0.16?\nAnswer: -919035.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -131*p - 1747. What is m(-13)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - u**2 - 13*u - 9. Determine r(-4).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 26*h**2. Let s(l) = -77*l. Give c(s(r)).\nAnswer: 154154*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -4*t, a + 0 = -2*t + 2. Suppose 0 = -s - 2*b + 393, -t = -3*b - 0*b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8032 + 18125. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 14*n)*(2*n + 3*n - 3*n)*(-7 + 3 + 3) + (-5*n + 5*n + n)*(n - 4*n + 2*n) - 8 + 3*n**2 + 8.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*i - 2*i**2 + 8 - 8 - 123*i - 159*i in the form x + m*i + f*i**2 and give m.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000136021 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3) - 4*sqrt(363)).\nAnswer: -43*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/15 - (-2)\/(-6). Let d be (-1)\/2 - (-51)\/p. Let y(r) = -r**3 - 4*r**2 - 3*r + 3. Let f be y(-3). Solve -2*z = f*z + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*u + 40, 112 = -3*u - 5*w + 27. Let c(z) = z + 4. Let o be c(u). Let h = o + 19. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 2090, 7033, 16638, 32453, 56026?\nAnswer: 88905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 8 = -2*b + 7*s, -s = b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 16. Suppose 3*s + 4*d - 9 - 23 = 0, -5*s - k*d = -64. Let m = 3 + s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6861*q + 2*q**2 + 6861*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22\/5, -0.4, 0, 34\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Which is the closest to v? (a) -1 (b) 2\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*b - 555*b - 658*b = -2019*b - 5742 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 = -4*s - 2, 4*f + 4*s = 44. Let m(j) = -j + 13. Let n be m(9). Suppose -1 = n*x + 2*u + 1, 1 = 3*x + u. Solve -x*p = -0*p - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 12*v + 12. Let m be a(14). Let w be ((-1)\/(-3) - 1) + m\/12. What is the hundreds digit of (-20)\/(-130) - ((-7740)\/(-26))\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 25586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7816247746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 99*p**6\/10 - p**4\/12 - p**3\/6 - 139*p**2\/2 - 853*p. Find the second derivative of l(r) wrt r.\nAnswer: 3564*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 8:31 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k. Let n(w) = -25801*w. Give n(d(h)).\nAnswer: 51602*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yydg when four letters picked without replacement from ydygyyddgydy?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374992.\nAnswer: 2, 23, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7893 and 7.\nAnswer: -55251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4369?\nAnswer: 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -21 (c) -69163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(704) - (sqrt(704) + -1 - sqrt(704))) + -2)*2.\nAnswer: -16*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -388*u + 383*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*q = 446 - 415, -34*q = c + 110 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - b**2 + 1)*(31*b - 30*b - 56*b) + 3*b**3 + 0*b**3 - 4*b**3 + (-b**3 + b**3 + b**3)*(-1 + 1 + 3) + 36*b - 36*b - 5*b**3.\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 9. Suppose b = -q + 3*q + 8000. What is q rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 10:09 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 189.5241 tonnes?\nAnswer: 189524.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmuamtmuim. What is prob of picking 1 t, 1 i, and 2 u?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709568004?\nAnswer: 2, 3, 2897, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**8\/10080 + b**7\/1680 - b**6\/720 + b**5\/60 + b**2. Let d(q) be the third derivative of m(q). Is d(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568727166 divided by 6.\nAnswer: 94787861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105685682*t**2*y - 886521*t*y + 41*t wrt t?\nAnswer: -211371364*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -86*r**3 + 40*r - 8. Let o(m) = 57*m**3 - 26*m + 5. Give -5*h(w) - 8*o(w).\nAnswer: -26*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 21, 54, 87, 120?\n\"Answer: 33*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*i - 12. Suppose 0*j = -i*j + 15. Suppose 2*z + 18 = z + j*o, -2*o = z - 10. Solve -z*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68256 divided by 6\nAnswer: -11376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*x - 4 + 4)*(30*x**2 + 48*x**2 + 26*x**2) in the form m*x**2 + b*x**3 + t + j*x and give b.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.25325 centuries to decades.\nAnswer: 542.5325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q + 103*q - 1485 = 2727. What is the remainder when q is divided by ((-3)\/(-2))\/(6\/56)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 198 = 173 + 207 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g = -4*v + 70, 4*g - 60 = -4*v. Suppose -g*y - 6386718 = 9013282. What is y rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108051331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(9225\/135)*6\/90?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041a7 (base 15) in base 5?\nAnswer: 144221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 816813 or 816795?\nAnswer: 816813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18021303.\nAnswer: 3, 227, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + 5*q - 65, a - 15 = 5*q. Calculate the remainder when 148 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*n**2)*(3 + 1 - 3)*(5 - 4 + 1) + n**2 - 3 + 3.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 19*i**6\/40 - i**5\/15 + i**4\/12 - 2*i**2 - 11*i. What is the third derivative of z(t) wrt t?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360875.024 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.12 - 3. Let r = -0.12000002 + i. What is r rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) 2\/69 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-72 + 79 - (0 + 22)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36916279429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588120 divided by -78.\nAnswer: -7540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, -3.\nAnswer: -4, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87322 and 2.\nAnswer: 87324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36915 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 29*w**2 + 1. Calculate u(-2).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94988*-3342.\nAnswer: -317449896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 rounded to the nearest ten?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-22)\/p))\/(p*p**(-1\/45)) assuming p is positive.\nAnswer: p**(1036\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -3)\/(6\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1614 + 1831. Calculate the smallest common multiple of 14 and h.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.2 (c) -676 (d) -1231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 380*q**2 + 1815*q + 199858. What is k(-188)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35072714 and 226.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30396.4 - -30396. Let d = 0 + 0.6. What is the fourth smallest value in 5, w, d, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g + 6. Let u = -1166 - -1168. Let v(r) = -7*r - 7. Let x(p) = -p**2 - 9*p + 13. Let d be x(-10). Let f(i) = d*j(i) + u*v(i). What is f(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y + 95 = 0. Suppose 2*l - 19 = -2*w + 5*l, 3*w + 5*l + y = 0. Solve -3*h + 4*d - 6*d + 17 = 0, 2*d = w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101179000 rounded to the nearest one million?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l**2 - 2*l + 1. Give w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/44 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (12\/2)\/1. Suppose 2*v = -0*v + 8. Suppose f + 2*f - 15 = -v*k, 2*k = 3*f - 15. Put f, -1, r in descending order.\nAnswer: f, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -51. Let b(c) = -3*c**3 + 4*c - 3*c + 246*c**2 - 250*c**2. Let y be b(-2). Solve -t = -u + y*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -43, -1, -4 in increasing order.\nAnswer: -48, -43, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214*((-12)\/(-28) + (-3)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*p - 23 = 31 - 94, p - 6 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 805. What is j(-22)?\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284101 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n. Let a = 3 + n. What is the common denominator of -28\/9 and (76\/(-12)*1)\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*z - 7*j + 12*j, -11 = -2*z + 3*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. What is the least common multiple of ((-108)\/5)\/(-3) + 36\/45 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205.39+182479054\nAnswer: 182479259.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 92*d - 96 = 0. Calculate d.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223635537.\nAnswer: 3, 97, 256169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 55. Let r be (-15)\/(-2) - 6\/12. Let t be x(r). Let d(m) = m**2 - 1. Let u(v) = 15*v**2 - 8. Give t*d(y) - u(y).\nAnswer: -9*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81.3 + -81. Let k = -167\/3 - -55. What is the closest to k in -0.4, -1, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j + 2*c - 8, 4*j - 20 = -2*c. Suppose 0 = 3*n + z - 6, 0 = 4*n - j*z - 0*z - 8. Suppose -3*i + 80 = n*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((240\/56)\/10)\/(1\/14*-44).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 3*w**4\/20 - 2*w**3\/5 + 24. Determine j, given that u(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 2, -2, -140.06, 3 in decreasing order.\nAnswer: 3, 2, 0, -2, -3, -140.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 5, 2.6388, -2, -5, -1 in increasing order.\nAnswer: -5, -2, -1, -1\/3, 2.6388, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21555111 (base 7) to base 3\nAnswer: -10111121221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = -2*i, -5*i - 6*n = -3*n - 9. Let k be i + (-4 - -3) - -7. Suppose 0 = 8*l - k*l - 212. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 56*k + 12. Suppose 32*g = 30*g + 6. Let l be u(g). Suppose -21*h - l = -27*h. Calculate the greatest common divisor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211876 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 320 = -16*f. Let b = -68 + f. Let x(z) = -z**3 - 3*z**2 + 3*z + 4. What is x(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 917d?\nAnswer: 918b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 times 10367.36?\nAnswer: -1430695.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/75)*k)**(-6\/31)\/(k*k*k**18*k*k)**(19\/3) assuming k is positive.\nAnswer: k**(-324412\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = 5*t + 3*q, -q = t - 3*q + 90. Let d = t + 92. Suppose d = 4*x - x - 6. Solve -25 = 5*m, -x*o - 3*m - 15 = -0*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 960812264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k + 22. Let v(j) = 8*j - 22. Give -5*d(i) - 6*v(i).\nAnswer: -13*i + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - 120010001221?\nAnswer: -120010001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4*q - 3*b + 13602 = 0, -18138 = -4*q - 5*b. Is q a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.019 - 4.919. Let n = -96.9 - x. Let c = -96 - n. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3994 - 131*u**3 + 127*u**3 + 10*u - 79*u**2 + 3995 to the form t*u + s*u**2 + y*u**3 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*s**3 - 935*s**3 + 310*s**3 + 88*s**2 - 96*s**2 + 318*s**3.\nAnswer: 20*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 12 = 4*h - 3*h - 5*b, b + 4 = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v + 22*v + 57 = 0. What is s in -400*s**4 + 18*s**2 - v*s**5 + 2*s**3 + 391*s**4 - 9 - 3*s + 4*s**3 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2786*g - 2782*g + 5568*g - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -1349*j + 1354*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 35*r + 4. Is t(21) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -1 - -28) + (4 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 - 9*g)*(2*g + 0*g + 0*g) - 4*g - 4 - g**2 + 4*g to p*g + w*g**2 + f and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 31) + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c + 1. Let y be z(1). Suppose -y + 75 = 5*j. Round j to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -57.\nAnswer: -5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23052*a**6 + 169*a**2 - 3 wrt a?\nAnswer: 2766240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.335 + -0.627. Let k = 42.708 - v. Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-25) + ((-92)\/(-12))\/(45\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -115, -93, 2\/71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 44 - 7*p - 81 - 58*p**2 to the form d*p**2 + q + l*p and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, 1 s, and 1 x when four letters picked without replacement from {l: 2, s: 1, x: 1, e: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010210201212 (base 3) to base 13.\nAnswer: 182ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -59. Suppose -5*b + 4*q = -43, 3*b - f = -0*q + q. Suppose b*t - 3*t = 56. Calculate the lowest common multiple of t and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 11*m - 80 = 0. Suppose 2*h - 4*w - m = 0, -w = -h + 1 + 2. Calculate the remainder when 30 is divided by h - (-3 - -3 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20692 - -331085\/16. Which is the nearest to -8? (a) j (b) -2\/15 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-389 - -400) + -20 + 0 + (-271)\/(-30)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.2138, -4, -2\/21, 2\/23?\nAnswer: 0.2138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r. Let x = r + 35. Let z(b) = -b**2 - 16*b - 16. Calculate the remainder when x is divided by z(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*q = 77*q - 1730. Is q at least as big as -347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -50. Suppose -v + l + 62 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k + 8*k - 37*k + 9*k**5 wrt k.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3790055?\nAnswer: 5, 23, 32957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*y - 237*y + 2*y**4 + 57*y - 5 + 2*y**3 in the form u*y + o*y**4 + j + l*y**2 + g*y**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 + 0.02. Let t = 2.76 - 2.8. Let z = v - t. Sort -0.3, z, -5 in increasing order.\nAnswer: -5, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 - -262. Solve 0 = 4*k - 2*j - 18 + v, -3*k - j = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.133 and 2247.58.\nAnswer: -298.92814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/18*-3*-1*14. Suppose 340 - 4 = x*u. Suppose 51*d = u*d + 279. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + (-12 - -27))*(391\/(-9) + (-28)\/(-63)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 528 - 560. Let g(j) = -j**3 - 36*j**2 - 130*j - 35. Let z be g(o). What is the greatest common factor of z and 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**2\/2 + 2*b + 5. Let z be q(2). Round z to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.4 (b) 7 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - (0 - 21)) + 9. Suppose 10 + 40 = -o*b. Put 0, b, 59, 2 in ascending order.\nAnswer: b, 0, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 3*u - 6. Let d(q) = 3*q**2 - 6*q**2 - q**2 + 4*q - 7. Let m(y) = 6*d(y) - 7*s(y). What is the second derivative of m(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-7)*(-6 - (-950)\/(-75)). Suppose -2*q - 3*q + 25 = 0. Suppose 475 = -q*i - 0*i. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23238 > -23209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2438 by -106.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2, -4*t + 2*x = -t - 5. Suppose -t*w + 14 = -w. Suppose 0 = -f - 3*f + 48. Calculate the remainder when f is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353 - -1057\/3. What is the closest to 3\/4 in o, 0.2, 0, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2\/2 + 224133*h\/2 + 112068 = 0.\nAnswer: -1, 74712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*r + r. Let s = -123\/4 + r. What is the biggest value in 0.2, s, 2\/23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10258709 and 6149650.\nAnswer: -4109059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-30)*61\/((-5368)\/48).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r - 16*r - 307 - 15*r + 58*r - 11*r to s*r + y and give y.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -34. Solve -z + 6 = 2*b + 2, 0 = -3*b + v*z - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496447 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-12)\/(-3))\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00892637 rounded to 5 dps?\nAnswer: 0.00893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1154652 divided by 577326.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16600 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzddglzddldldd. What is prob of picking 1 z, 2 l, and 1 g?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*z + 33696 = 99*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 29*m - 17. Give w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.166 + -0.176. Which is the closest to 5? (a) 2 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vve when three letters picked without replacement from {e: 2, z: 5, v: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*o**3 - g*o**2 + 108*o**3 - o**2 + 42 wrt o.\nAnswer: 6*g + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50426.\nAnswer: 2, 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33280 rounded to the nearest 100?\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*p - 10*p - 29071 = 8624 + 1994 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784046 divided by 3?\nAnswer: 594682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-84) + 108\/(-14). Let y be (-1 + -4)*r\/5. Suppose b - 5*j - y = 0, -4*b - 5*j + 15 + 42 = 0. What is the greatest common divisor of 52 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 189*z**2 + 1555*z - 137. Is f(64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*h - 2073 = 2197 + 470 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054 is divided by 386?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:41 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(4\/3)))\/v**(3\/2)*((((v\/((v*v**(7\/2)*v*v*v)\/v))\/v*v)\/v)\/v)\/v**(-2\/11) assuming v is positive.\nAnswer: v**(-335\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 36*f**2 - 2264*f + 2263. Suppose 0 = -5*a + 3*l + l + 660, 3*l = 2*a - 271. Calculate the remainder when a is divided by k(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*o**3 - 465*o**2 + 1180*o - 300.\nAnswer: 5*(o - 10)*(o - 3)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 16*v + 4. What is the units digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, c: 7}. Give prob of picking 4 d.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541482054835.00071 + -541485589220. Let w = l + 3534257. Let p = -128 - w. What is p rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 7*i**2 - 17*i + 12. Let j be 324\/60 - (-4)\/(-10). Let k be y(j). Solve m + 5*f = 2*f - k, 8 = -4*m - 5*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-440)\/3080)\/(2\/(-196))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -24. Solve j*q - q = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + -19 - -16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**3 + 9*j**2 - 9*j - 9. Let z(h) = h**2 - 10*h + 34. Let i be z(5). Let f(n) = -3*n**3 - 2*n**2 + 2*n + 2. Determine i*f(d) + 2*k(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from bjkec?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5630 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 4.1. Let k = -1.5 - -0.5. Let i = k + 1.1. Which is the smallest value? (a) j (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/43350 and 11\/15?\nAnswer: 43350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99191\/12 - -8270. What is the common denominator of l and -29\/1228?\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*g - 20*g + c - 2, 9 = -2*g + c. Let r(k) = k**3 + 6*k**2 - 6*k + 11. What is r(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 11*u + 23 = 4. Calculate the highest common divisor of 5263 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40, -2.195, -8\/7?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*j**3\/3 + 228140*j**2\/3 + 173477655*j - 69403230.\nAnswer: 5*(j + 4563)**2*(5*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t + t + (4*t - 6*t + 0*t)*(0 - 1 - 1) - 2*t - t + t)*(-2*t**4 + 0 + 0).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(170)*1*3*5)\/((sqrt(60)*-2*-6)\/(sqrt(216)\/sqrt(4) - sqrt(54) - sqrt(6))).\nAnswer: 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 25. Let c = 15 + z. Suppose 0*l + 150 = c*l. What is the greatest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 - 398*z**2 + 629*z - 334. Calculate x(131).\nAnswer: -3740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17763 divided by 169\nAnswer: 17763\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 10*h - 17 + 16*h. Let l be u(7). Suppose -3*f = 3*q - 51, -f = l*q + 2*f - 66. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36696 divided by -3.\nAnswer: -12232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382, -377, -368, -355, -338, -317?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152536 (base 7) to base 2.\nAnswer: 111010001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (82 - 87) + -4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 less than or equal to 1094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/11))**35)**(-35)*(c**(-1\/2))**(-6\/11)*(c\/(c*c**(-4\/5)))\/c*c*c*c**7 assuming c is positive.\nAnswer: c**(-4966\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from evvaab.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.5 - 14. Let f = k - -0.5. What is the nearest to 0.1 in 2, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.3, -7, 4, -12, 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from {n: 2, y: 1, o: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(-5*(sqrt(204) + 4*sqrt(204) + sqrt(204)) + sqrt(204))\/sqrt(12))**2*1.\nAnswer: 357425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - (1 + 0) - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1 - 9*x + 2 + 10 + x**3 - 14*x**2. Let y(j) = -j**3 + j**2 + 1. Let r(k) = -c(k) - 2*y(k). Is 7 a factor of r(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 1, s: 2, t: 2, l: 12}. Give prob of sequence ltlt.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b. Let a be (-1)\/((-5)\/(-3))*245\/(-588). Let i(o) be the second derivative of 0*o**2 - 5*o + 0 - a*o**4 + 0*o**3. Calculate f(i(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100121021022 (base 3) in base 13?\nAnswer: -68051","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 2. Let s(f) = -7*f + 7. Let d(p) = -3*s(p) + 8*w(p). Let v be (-23)\/(-5) + (-4)\/(-10). Let y(a) = -a + 2 + 5*a + 4. Give v*y(x) + 6*d(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 98553960 to the nearest one hundred thousand.\nAnswer: 98600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.373l in millilitres?\nAnswer: 844373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1269660 and -73\/246737260.\nAnswer: 740211780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 1. Let r(m) = -9*m + 5. Suppose q - 5*q - 16 = 0. Let t(x) = q*o(x) - r(x). Let h = 3 - 4. Give t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-7592)\/(-570)) + 2. Let s = c - 16\/57. Calculate the common denominator of s and -8\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11.74 (b) 0.2 (c) 3 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 737*h**2. Let g(v) = -10*v**2 - 55*v - 11. Let c(d) = -2*d**2 - 10*d - 2. Let u(x) = 11*c(x) - 2*g(x). Determine u(s(m)).\nAnswer: -1086338*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101)\/((-6767)\/(-1809)))\/((-1*1)\/1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*p - 5852 = 161*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 5)*18\/6. Suppose -955 = -t*a + 554. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4379, -54, -3, -55 in decreasing order.\nAnswer: -3, -54, -55, -4379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2511142002?\nAnswer: 2511142003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**30)\/q*(q\/(q*q*q\/(q\/q**(16\/7)*q)))\/q)\/((q*q*q**35)\/(q**(2\/29)\/q)) assuming q is positive.\nAnswer: q**(-14254\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1576.596 - 1578. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-23 - -31 - 24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/5)*l**(2\/37))\/(l**(-14)\/l)**(-1\/10) assuming l is positive.\nAnswer: l**(57\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + b - b)*(231 - 231 + 356*b + 410*b) to q + h*b + p*b**2 and give p.\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -111101011111000001 (base 2) to base 8\nAnswer: -753701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 - 339. Suppose u - 4*u - 3 = 0. Which is the closest to u? (a) j (b) -12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6093\/64 + 45\/64. Let m = i - -95. Which is the closest to -0.1? (a) 0.06 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70856 = -26*v + 497582. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:50 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 - 7*d - 3. Let a be m(-6). Suppose a*c - 325 = -2*c. Suppose -5*n + 35 + c = 0. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s**2 + 0)*(-3 + 11 + 8 - 1 + 2 - 3 + (4 + 0 - 3)*(-1 + 1 - 2)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqpqpqpttqtt. What is prob of picking 1 q and 1 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*i - 8 = 0, 0 = 2*a - 6*a - i + 23. Let f = 9 + a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10338)\/67197 + 1\/(-13)*583?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.401, 13170 in increasing order.\nAnswer: -0.401, 4\/3, 13170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -132.3 (b) 1 (c) 3\/5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.452 + 4.452. Sort 30, w, -1 in increasing order.\nAnswer: -1, w, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*w**3 + 3751*w**2 + 2436*w + 131 wrt w?\nAnswer: 474*w + 7502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.5, -0.253?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 5*m - 7\/24*m**4 + 3\/2*m**3 + 0 + 0*m**2 - 1\/360*m**6 + 3\/40*m**5. Let c(h) be the second derivative of b(h). Give c(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -834*h**2 + 72 + 9*h + 835*h**2 + 18*h.\nAnswer: (h + 3)*(h + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 + 122\/3*o**2 - 367\/3*o = 0. Calculate o.\nAnswer: 1\/122, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-24264)\/(-12134))*-4. Let l = -734267\/121340 + i. Find the common denominator of ((-1)\/32)\/((-2)\/(-388)) and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -7\/515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 - 6\/2. Let x = -101\/248 + 1\/31. Which is the nearest to d? (a) x (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 4*g + 29 = 0, -2*g = -4*a - 22. Let c(m) = -m**3 - 2*m**2 - 5*m - 2. What is the tens digit of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88822*c*j**3 + 13746761*c + 9*j**2 wrt j?\nAnswer: -266466*c*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:54 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28929119 to the power of 1\/2, to the nearest integer?\nAnswer: 5379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 315*-0.71516\nAnswer: -225.2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/427 in -39, -3\/5, 1\/4, 0.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.6 - -12. Suppose -20 = -3*k - 2*k. Let g = 117 + -821\/7. What is the nearest to -1 in k, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*s = -0*s + 1772, 2*s = -f + 1780. What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-398)\/199)\/(2*-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/2 - -4)\/(-1). Solve -4*s - 13*v + 4 = -16*v, s = g*v + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49746396 - 33646396. Round z to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j - j + 3*j + (-1 + 1 + 2*j)*(0 + 3 - 2) - 4*j - 2*j + 5*j - 4 + 4 - j + (-1 - 2 + 5)*(117 - 117 + 20*j) as f + a*j and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 2, e: 1, y: 1, p: 2}. Give prob of picking 1 y and 2 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 0*g - g)*(-4*g + g + g) + 3*g**2 + 2*g**2 - 4*g**2 - g**2 + 0*g + 0*g - 3*g**2 + 39*g + 30*g - 68*g + 1 in the form v*g**2 + c*g + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14654 - -14662. Let r(b) = -2*b + 49. Calculate r(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.385 - 9.685. Put -3, 2, u in ascending order.\nAnswer: u, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 10308826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 19 - 28 - z - 5*z + 3*z + 0*z + (3 + 0 - 5)*(-3*z + z + z) + 0*z + 0*z + 2*z + 5*z - 2*z - 4*z to r*z + a and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:48 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c = 113 + 173 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325941 is divided by 325915.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -3405036 and -3405037 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - -632. What is the highest common divisor of i and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 6393.\nAnswer: 6393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) -0.2 (c) 1\/3 (d) 577 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256512706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 2*p + 2*p - 2. Let g be s(0). What is the units digit of (g + -3)*-1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 4*o + 69. Is n(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316470 by 22.\nAnswer: -14385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 25 + -13 + (23 - 17).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from xxbxxxxxxbx.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2021126 and 2610.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v - 112. Let u(q) = -q**2 - 2*q + 9. Let p(m) = 4*u(m) - 36*x(m). Factor p(g).\nAnswer: -4*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 - 6767580*g**3 + 61165065*g**2?\nAnswer: -120*g**2 - 40605480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/96*1020\/98 + (-28 - (-38 + 19)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-35) - 4232\/(-810) - 5. Is b != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 + 10. Let f be c(0). Suppose -2*g - f = 0, 4*p - 6 = 3*g - g. Is -2 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.035 + 0.005. Is 2\/31 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.544238013 to two decimal places.\nAnswer: 7.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**4 - 3560*r**3 + 109245*r**2 - 302890*r + 197200 = 0?\nAnswer: 1, 2, 29, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (158 - 2)*(3 + 6\/18)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Let r be g\/12*3\/(-2). Which is the second biggest value? (a) 5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 - 36 = -4*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**2. Let w(m) = 28*m**2 + 7*m - 28. Let z(t) = -9*t**2 - 2*t + 8. Let g(a) = 2*w(a) + 7*z(a). What is g(p(l))?\nAnswer: -567*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 3*p - 8*p + 3*p - 2*p - 3*p - 2*p - p + 5*p - 2*p + 1 - 1 + (2*p - p + 0*p)*(-3 + 3 - 2) - p - 4*p + 3*p - p + p - 2*p - p - 2 + 2.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w = -53*w + 25155. Suppose -5*j - w = -5*s, -j + 2*j - 2 = 0. What are the prime factors of s?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61\/52 - -12\/13. Let k = -0.1819 - -0.0919. Which is the closest to k? (a) -4 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 7.57, -2, 0.3, 4, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 49 = -25*g - 16*g - 4*t, -20 = -g + 2*t + 30 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10463743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6893*o - 2969*o + 4919*o + 6489*o + 9177*o to the form s*o + w and give s.\nAnswer: 24509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {x: 6, z: 3, p: 3, h: 2, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-60)*-6*-2*105. Is x less than -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/10080 + 9*d**5\/20 + 18*d**2. Let b(k) be the third derivative of n(k). Let s(y) = -24*y**2. What is b(s(v))?\nAnswer: 1152*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 2)*(-5 + 0). Let f = 4 - 5. Let j = f + 1.3. What is the closest to 1\/2 in j, 2, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a, -4*a = 2*t - 6. Let q(l) = l**3 - 1. Let u(y) = 6*y**3 - 7. Let x be (5 - 0)\/(1 - 0). Suppose -x*f = -9*f - 84. Calculate f*q(j) + t*u(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*y = 3*w - 11, -4*y = -3*w + 27. Suppose -2*q + 7*q = -w, 3*r = -4*q + 59. Solve 5*s - r = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40243 divided by -89.\nAnswer: 40243\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k + 6. Let g be n(-7). Let f(t) = -41 - t**2 + g. Let i(b) = -35*b. Determine f(i(q)).\nAnswer: -1225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34, 745 in increasing order.\nAnswer: -34, 3, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 17 + 13 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3782 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1.38605455?\nAnswer: -2.7721091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 17*v - 382. Suppose 19*y - 9*y + v = 0. Put 0.06, 0.1, y, -4 in increasing order.\nAnswer: y, -4, 0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-9))\/(56\/12)*-1. What is the closest to 2 in q, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 5:26 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -55*v**3 + 12704*v**2 + 234*v - 695. Determine o(231).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2117*k - 2110*k + 2*u = -6, -3*k = 3*u + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737, -1501, -2293, -3119, -3985?\nAnswer: -4897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 18*y - 81. Let j be l(-9). Suppose -4*k + 64 = -36. Suppose 0 = -10*r + 5*r - k. Which is the nearest to j? (a) r (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 + -1f7e1?\nAnswer: -1f811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/4 - h\/4 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622767.\nAnswer: 3, 207589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17788663146431 from 0.4.\nAnswer: 17788663146431.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - -71403166?\nAnswer: 71403146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18*x - 13. Let w be l(2). Let b = w + -13. What is the hundreds digit of (-5 + 0)\/b + (-741)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + 4 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:56 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*y + 6 = 0, 10*v = 15*v + 3*y + 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 434406287 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 1, b: 5}. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 2020312?\nAnswer: 2020322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320420 is divided by 40019.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 + 0.02. Let d = 0.9587 + 5.0413. Let v = 0.2 + 0.2. Sort v, u, d in descending order.\nAnswer: d, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4281563*l**3 - 740*l**2 + 474*l wrt l?\nAnswer: 25689378","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s + 33*s + 109*s**3 - 108*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 5:12 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -89 and 1218.206.\nAnswer: 1129.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1332671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from {t: 3, b: 2, p: 6, e: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84*a**3*f**2 - 7563391*a**3 - 2*a**2*f**2 + 26348*f wrt f.\nAnswer: -168*a**3*f - 4*a**2*f + 26348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l - 35*l + 11*l + 15*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 3*d - 5*d + 3*d + d. Let k be t(5). Let j be ((-8)\/3)\/(24\/(-36)). Which is greater: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 12) in base 6?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 846 = 6*u - 2*u, -3*p = -4*u - 2578. Let o = -353 + p. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 0*r**3 + 3*r**3 + 3 - 3*r**3 - 3 + (7*r**2 - 3*r**2 - 2*r**2)*(3*r + 0 + 0) - 12 - 2*r**3 + 12 in the form x*r**3 + j + z*r**2 + g*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19778155 + 34.904.\nAnswer: 19778189.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.4 (c) 2\/313 (d) -1\/7 (e) 2 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/990535 and 64\/1365.\nAnswer: 2971605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = -2*i, -5*i = 5*m. Let l(k) be the second derivative of 2*k + 0*k**3 + 1\/70*k**5 + i*k**2 + 0 - 1\/42*k**4. Factor l(z).\nAnswer: 2*z**2*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 29*s + 5. Calculate c(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 5, a: 2}. What is prob of sequence si?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 e when three letters picked without replacement from ewwwwewwewleweelleel.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-3)*(-36)\/(-24). Suppose -w + s = 8. Let f = 0.3 + -0.2. Which is the closest to w? (a) 0.4 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((5 - 4)*-1). Solve 9*u - 4*u - 15 = j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2\/4*0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 982, -4, 692 in decreasing order.\nAnswer: 982, 692, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1899\/2 + 950. Let i(m) be the third derivative of -9*m**2 - 1\/80*m**5 - x*m**3 + 0 - 1\/8*m**4 + 0*m. Factor i(g).\nAnswer: -3*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10536 (b) -26 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkblykylkll. What is prob of sequence kk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3427*d**2*p**3 - 263*d**2 + 17*d*p**3 - d - 107 wrt p.\nAnswer: -10281*d**2*p**2 + 51*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 + -4)\/8*4)\/(-1). Let l(s) = 112*s - 56*s + 2*s**3 - 60*s + 5*s**i. Let q(p) = -3*p**3 - 7*p**2 + 6*p. Calculate 7*l(b) + 5*q(b).\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p - 213. Let z(t) = 5*t + 214. What is 3*m(q) + 4*z(q)?\nAnswer: 2*q + 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/16215, 2\/5, 21 in increasing order.\nAnswer: -2\/16215, 2\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(50\/(-8)))\/(30\/450*9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -266, -1071, -2406, -4271, -6666, -9591, -13046?\n\"Answer: -265*d**2 - 10*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*6\/(-27)*3. Suppose b*a - 3*s + 2*s - 36 = 0, -2*a + 24 = 2*s. Let p = a - -2. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -281 + (0 - 2\/1). Let p = i + 318. What is the remainder when 347 is divided by p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15144 = -734*l + 722*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 n when four letters picked without replacement from zzejfznjze.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 6*l. Let z be (-12)\/20 + 13\/5. Let p be z\/(-7) + 200\/14. What is the closest to 1 in l, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((-325)\/2 + 2). Let t = -168 + o. Let d = 3537 - 63617\/18. Find the common denominator of t and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0341 and 0.4?\nAnswer: 0.4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3561 - -616051\/173. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265022?\nAnswer: 2, 132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.820791 kilograms to grams.\nAnswer: 2820.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -37. Let y be 17 + -5*20\/g. Which is smaller: y or 22?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665271 (base 8) to base 15\nAnswer: 46539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 - 11467*m + 422*m**2 - 719*m**2 - 1959*m**2 + 11383*m wrt m?\nAnswer: -4512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 18, 4 in ascending order.\nAnswer: -23, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35895177253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1131 (base 4) to base 13\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5491170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -89080*r**4 - 712647*r**3 - 1158096*r**2 - 534571*r - 42 = 0?\nAnswer: -6, -1, -7\/89080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -722690195 less than -18?\nAnswer: 722690177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 27*n**5 + 15*n**4 - 12*n**3 - 15*n**2. Let o(p) = -7*p**5 - 4*p**4 + 3*p**3 + 4*p**2. Let h(x) = 15*o(x) + 4*t(x). Factor h(i).\nAnswer: 3*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 34867.\nAnswer: -174335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28550, -228021, -769376, -1823537, -3561426, -6153965?\nAnswer: -9772076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 12. Let t be ((-160)\/25)\/((-4)\/10). Let k(s) = s**2 - 15*s - 8. Let v be k(t). Let z be o(v). Solve -z*c + 3 = -3*c, p + 2*c = 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -329 - -548. What are the prime factors of l?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v + 311. Calculate t(-35).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-5) + (-2 - -1). Put -1, k, 0 in descending order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/50)\/((-2)\/(-28))*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*c = -137*c - 92*c - 2340 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalsasasaaaaalsaaal. What is prob of picking 3 a?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -285*t**3 + t**2 + 27*t + 85. What are the prime factors of o(-4)?\nAnswer: 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24155461 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-2\/3))\/(q\/(q\/q**9)))\/(q*q**(-2\/11)*q**(-4)))**(-17) assuming q is positive.\nAnswer: q**(2329\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -0.5 (c) 188 (d) -0.1 (e) 78 (f) -8\/7 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1936 = -4*y + 1944. Solve p + 3*d = 5, 2*p - 11 = y*d - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04611 + -0.05389. Sort -2\/17, k, 0.5, 0 in descending order.\nAnswer: 0.5, 0, k, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 8. Let i = 117 - 76. Suppose -28 = k - 4*a, a + 4*a - i = 2*k. What is the units digit of b(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -703*d + 699*d + 701, 1226 = 7*d - x. Calculate the highest common factor of 105 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/6 + 8*x**3\/3 + 27*x**2\/2 - 5*x. Let d be t(-10). Let i = -117 - d. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j + 2*j. Let u(w) = -3 + 3 - 11*w - j + 2. What is the remainder when 54 is divided by u(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-10374)\/532*(-1)\/(-3))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, y: 1, n: 1, w: 1, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(720).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 478b3 + 15?\nAnswer: 47908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11123113 - 1322?\nAnswer: 11121131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 185639063 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*j**2 + 124*a*j - 5034*a - 12*j**4 - j - 1 wrt j.\nAnswer: -4*a*j + 124*a - 48*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/120 - 7*v**5\/12 - v**4\/12 + 39*v**3\/2 + 68*v**2 + 2. Calculate the remainder when 179 is divided by b(35).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - 6*v**3 + 6*v)*(v**2 - 3*v**2 + 0*v**2)*(1 + 0 - 2).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2558, 9647, 21480, 38051, 59354, 85383, 116132, 151595?\nAnswer: 191766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (177\/(-2))\/((-3)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/10*x**5 + 0 - 1\/45*x**6 + 1\/9*x**3 + 3*x + 0*x**2 + 2\/63*x**7 + 1\/18*x**4. Determine w, given that a(w) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 6*c + 5. Let w(n) = -9*n**3 - 17*n - 14. Let h = -9 - -15. Let m(r) = h*w(r) + 17*v(r). Differentiate m(x) wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 695212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/109 + -331\/436. What is the biggest value in j, 4, -10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 35\/41, 512 in increasing order.\nAnswer: -1, 35\/41, 2, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-308)\/56)\/(1\/2). Let l be (16 + -1)*(o + 14). Calculate the highest common factor of 75 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.2, -3, -0.7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 t when three letters picked without replacement from vptuvufjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358156 is divided by 450?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*x + 81*x - 117*x - 7684 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 8\/67 (c) 5 (d) -5 (e) -2\/5 (f) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/1680*15)\/(4\/(-98)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x*x*x**(4\/5))\/x*x)))**(-8\/5)\/((x\/x**(-1\/2))\/(x**12*x)))**13 assuming x is positive.\nAnswer: x**(4563\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let r(q) = -q**3 + 40*q**2 + 57*q + 59. Let k be r(33). Suppose -c*h + h = 2*f - 4783, -4*f + k = 3*h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1569*w*z**5 + 265*w - z**2 - 3 wrt z?\nAnswer: -94140*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-34) + -5 + (-415)\/(-85)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/21 + 66\/(-77))\/(((-176)\/(-99))\/8).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (25 - 25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**3 + 1944*h**2*y - 3*h*y - 173*h - 3*y wrt h.\nAnswer: -30*h + 3888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2960, -2946, -2930, -2912, -2892, -2870?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/16*2 + 2*1. Let a(h) be the second derivative of 0*h**5 - 2*h - 1\/2*h**v - 2\/15*h**6 + 0 + 0*h**2 + 0*h**4. Find the second derivative of a(n) wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 51*t + 31. Let n be q(-27). Is n greater than 112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*g - 5*g. Suppose -5*j - 1 = -6*j. Let m be (0 - 2)\/j + 5. Solve 2*k + 8 = 0, 2*w - 3 = g*w - m*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*((-6)\/15 + 3\/(-5)). Solve i = -2*j - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.0237 (b) -2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 = -3*o - 4, 3*s = -2*o - 3. Let n be 14 - (o + -4 + 3). Solve -3*q - 3 = -n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 786664405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f + 15 = 0, 392 = -v + 5*f. What is the common denominator of 1 - v*3\/(-270) and -103\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(2\/1))\/(5577\/(-351) + 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48582799013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -1\/4 (c) -5 (d) -35\/286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -867 + 871. Sort -3, j, 3.\nAnswer: -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -440 + 0.4994\nAnswer: -439.5006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -27565.54 + 139416812\nAnswer: 139389246.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7*(-7)\/2)\/((-464)\/2784).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3)\/s**41)\/(s**(1\/9)*s**(-11\/6)*s) assuming s is positive.\nAnswer: s**(-749\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycz when three letters picked without replacement from {z: 1, o: 1, c: 1, y: 1, w: 9, p: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 - 146*d - 28. Give n(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 159 = -4*a, -1 = f + 4. Let i = -27 - a. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 7*p + 1. Let x be n(7). Let v(o) = 2*o + 1. What is v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228805183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74632 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*(-2)\/8. Let x be 3*(-2)\/3 - -1. Let y be 6*((-2)\/3)\/x. Which is the third smallest value? (a) y (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3173485872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -447 + 437. Let v(d) = d + 17. What is v(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5130)\/(-5985)*(-14)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -0*u + 5*u. Let x(l) = -2*l**2 + 4*l + 5. Let w be x(4). Let p = w + u. Solve 0 = -3*v + 5*t + 22, p*v - 2*t - 11 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.142709t to kilograms.\nAnswer: 6142.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 71 (c) 2\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3 + 18 = 11*g - 22, 2*p + 3*p + 60 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 68 = 3*k, 5*k - 113 = 2*j. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -a5?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**7*o*o*o*o)*o*o*o\/(o**(1\/8)*o))**(-16) assuming o is positive.\nAnswer: o**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 22 = -6*a. Let x = 16 - a. Let r(y) = -11*y - 1. Is r(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/5 - 23*k - 3034\/5 = 0.\nAnswer: -74, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 118*u + 99*u - 172*u + 3*u - 3*u - 2*u + (5 + 3*u - 5)*(1 + 1 + 0) + (-2*u - 2*u + 2*u)*(-2 - 2 + 3) + 3*u - u - u.\nAnswer: 52*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3 - 6*r**2 - 9*r - 4 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from ewwewww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12029 - 4402. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*j = -20, 5*n + 3*j + 29 = -0*j. Let t be (-18)\/12 + (-1618)\/n. Suppose 4*z = t - 47. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8664958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05195 + 0.047. Round k to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3606 - -3606. Let y = -6.3 + 6. What is the fourth smallest value in 2\/11, 3, y, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/8)\/(3\/8). Find the common denominator of 3\/9 - (-31)\/l and (1372\/144 - 3) + 1\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/12)\/4*-3)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -13\/258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 - j - 5. Suppose -2*q - 8 - 12 = 0. Let d be s(q). Suppose -3*k = 3*l + 12, -6 + 2 = -d*k + l. What is the closest to k in -5, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*o = 3*r - 3*o - 345, 13*r + 3*o + 274 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -160*u**2 - 223*u - 398\/3*u**3 + 5\/6*u**4 + 0. Solve j(q) = 0 for q.\nAnswer: -2\/5, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (2 - -42 - -31) - ((0 - 0) + -4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5421 - -5423. Do 81\/31 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 13. Let y(n) = 7*n**2 - 5*n - 1 + 14*n**3 - 12*n**3 - 3*n**3. List the prime factors of y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3 + 23 = -t, 2*t - 10 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - 8.86. Let z = r - -4. Let t = 128 + -128.5. Which is the closest to -3\/2? (a) -0.4 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfgc when four letters picked without replacement from xpxficccgffffic.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.20499 - -0.33.\nAnswer: -4.87499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*j - 1)*(-j**2 - j**2 + 0*j**2) + 75*j**3 + 7266 - 7266)*(-4*j + 0*j + 2*j).\nAnswer: -158*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14115 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220\/220)\/(5*(-14)\/8050).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - 10*p**2 + 11*p)*(0 + 10 + 7).\nAnswer: -170*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + 1 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Suppose -y + 12 = 4*y - m, -4*y + 2 = 3*m. Suppose -14 = -y*q + 2*j + 2*j, -20 = 5*j. Sort 0, d, q in descending order.\nAnswer: d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355921 * 0.04\nAnswer: 14236.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4261 + -4259. Put 39, t, -3, -5 in descending order.\nAnswer: 39, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 2. Let g(k) = k - 1. What is 3*g(r) - 3*p(r)?\nAnswer: -3*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -106, -111, -120, -133, -150, -171?\n\"Answer: -2*l**2 + l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*d + 28, 3*d - 5*p = -90 + 48 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/50 - z**4\/5 - 46*z. Factor k(g).\nAnswer: -2*g**2*(g + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 + 29*b**4 - 270*b**3 + 700*b**2 + 1000*b = 0. What is b?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -4105?\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252430 is divided by 494?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from czd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99501*k**5*r - 33*k**3*r - 4*k**2 + 193189*k*r wrt k?\nAnswer: -5970060*k**2*r - 198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. What is the second derivative of -2*q - i*q**3 + 3*q + q wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745 (base 11) to base 8.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*a - 386*a - 5940 = 0. What is the remainder when 937 is divided by a?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34160 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/181640 and 121\/36000?\nAnswer: 163476000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -2)\/(1 + (-66)\/68). Let c = -35 - p. Sort 1, c, -5 in ascending order.\nAnswer: -5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20348?\nAnswer: 2, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = -30. Let l = -217 + 322. What is the greatest common factor of t and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/480 - 193*t**5\/16 - 931225*t**4\/32 - 898632125*t**3\/24 + 2974*t**2. Factor v(i).\nAnswer: -(i + 965)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120002201100 (base 3) to base 13\nAnswer: a5396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000000000010000001 + -1?\nAnswer: -110000000000010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 69922298?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2193123, -2193117, -2193111, -2193105?\n\"Answer: 6*d - 2193129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -0.01, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184 + -179. What is the common denominator of -139\/6 and 138\/12*o\/40?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 + 0*h**2 + 3*h**2 + 0*h**2 + h - 3. Let y be i(0). Put -4, 0.5, y in decreasing order.\nAnswer: 0.5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 3*u + 0*u)*(-1 + 5 - 3) as j*u + l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + i - 9. Let k be l(-4). Let w(n) = -n - 1. Let d(x) = -14*x**3 + 14*x + 14. Calculate k*d(u) + 42*w(u).\nAnswer: -42*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 25, -5 in increasing order.\nAnswer: -5, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125330 + 4?\nAnswer: 125334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-54003)\/1532).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2445983\/69 - -35448. Find the common denominator of u and -8\/9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 - -1101?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 - 172*j**4 - 1576*j**3 + 5800*j**2 - 6164*j + 2116.\nAnswer: -4*(j - 1)**3*(j + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -65*c**2 + 1415*c + 113. What is u(22)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50 + 2*t**2 + 2*t**2 + 51 + (-3*t**2 + 0*t**2 + t**2)*(3 - 1 - 3).\nAnswer: 6*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4753 is divided by 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011100110111000000 + -1?\nAnswer: 11100011100110110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 11 - 9. Solve z - j = 5*l, l + 4*l - 2*z - 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/35))**(-48)\/(((k\/k**33)\/k)\/(k*(k*k**22)\/k)))**4 assuming k is positive.\nAnswer: k**(1504\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a82377 + 10?\nAnswer: -4a82367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 21615*s - 5985072.\nAnswer: 3*(s - 7472)*(s + 267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 3*l. Let n(c) = -11*c**2 + 9*c. Let m(b) = -n(b) + 3*q(b). Let s(r) = 29*r**2. Calculate s(m(v)).\nAnswer: 725*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15515 - -37117. Is 101 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 minus -7554?\nAnswer: 6949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 16, -3, -2, 10, 1 in decreasing order.\nAnswer: 16, 10, 1, -2, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by (12\/2 - 4) + 53 + -2.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453530 divided by -4123\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(525)*-2*-5)\/((sqrt(24) + sqrt(24)*-1 - sqrt(24))\/(sqrt(98)*-1)).\nAnswer: -350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1997, 1851, 1705, 1559, 1413, 1267?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, o: 2, a: 2, k: 8}. What is prob of sequence kko?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1516727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 1\/3592 (c) -9\/11 (d) 0.5 (e) -9\/8 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10 - i**3 - 5 + 8*i**2 - 12 + 2*i. Is f(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115654?\nAnswer: 2, 3, 53, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-34)*(-292)\/10293\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.16 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515891815 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 8 = -2*d. Let h(z) = -5*z**d - 178 + 0*z + 4*z**2 + 184 + 4*z. Suppose 0 = -5*g + 5 - 0, 0 = 2*a + 5*g - 15. Calculate h(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 2*r + 3*r - 6 - 3*r**2 + 0*r**2. Let m(t) = -t**3 + 2*t**2 - 4*t + 5. Let c be (-6 + (-5)\/(-15) + 5)*6. Determine c*j(g) - 5*m(g).\nAnswer: g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 1 + 9 + -19 + 22 - 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/8 - 2\/4. Suppose 2*y = 3*y - c. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -1e2?\nAnswer: 1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -2881\/6*d**4 - 900*d**2 - 920*d**3 - 1\/21*d**7 - 107*d - 21\/5*d**6 + 0 - 1083\/10*d**5. Factor q(z).\nAnswer: -2*(z + 1)**3*(z + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 4. Let y be u(-3). Suppose 2*j = 4*m - 8, 4*j + 13*m = 8*m + 36. Suppose -j*p = -y + 21. Let i(w) = -w - 3. Calculate i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i*i)**(-38)*i**(-2\/15)*i**(1\/12) assuming i is positive.\nAnswer: i**(-1521\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*3*200\/60.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, -2, 13, -6, -8\/11, 0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 364 + 16 = 0. Let d = z - -455\/6. Let k = 0.41 - 0.01. What is the third biggest value in -0.5, k, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 + 6*n. Suppose -6*d + 7*d - 2 = 0. Suppose 5*z - d = 3*c + 31, 4*z - 24 = 2*c. Calculate x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u - 10. Let t be n(-4). Suppose -24*v + 8 = -t*v. Suppose -4*l = r - v*r - 51, 2*l - 33 = 3*r. Which is bigger: 6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 790*l + 3953. What is g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 1. Suppose -4*r + 1 = -5*r + 2*n, -2*n = 2*r - 10. What is the closest to r in 2\/15, -2\/11, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/909643 and 19\/8323.\nAnswer: 37295363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.4908686 to three dps.\nAnswer: -27.491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63034 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -22\/23, -0.1, -2, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 528 = -13*y. Let h be y\/(-16)*(-3543)\/(-9). Round h to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2 + 9. Let b(s) = s**2 - 1. Let t(y) = 18*b(y) + 2*d(y). Let j(q) be the third derivative of q**4\/6 - 243*q**2 + 2*q. What is t(j(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 0. Suppose 3*s - c*j = 76, -j = 4*s - 0*s - 76. Let q be (-1)\/(-4) - (-35)\/s. Solve 3*m - 5 = d, 3*m - 2*d = q*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-70) + 46\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 6*a**3 + 8 + (0*a + 2*a**2 + 0*a)*(-a + 4 - 4))*(-3 - 2 + 2 + (3 - 1 + 4)*(-4 - 1 - 2)) in the form y*a + x*a**2 + v + d*a**3 and give d.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900207789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(2\/29) assuming x is positive.\nAnswer: x**(-4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126.6 - -126.6. Let h = -0.101 + 3.101. Sort h, w, 4\/3, 0.6.\nAnswer: w, 0.6, 4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10 + 1 + (-11 - -1) + (73 - 9)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13641.5 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n - n - 25*n = -960 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + -3 + 1*sqrt(448)*3 + 5 + 1 + 0).\nAnswer: -2 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-91)\/13)\/(-28))\/((-93)\/240*-10)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33653\/30 - -1121. Let j = h + -71\/60. Find the common denominator of j and (-2)\/3*(-57)\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2523675514?\nAnswer: 2, 953, 1324069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -0.191?\nAnswer: 0.1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/26*6\/(-198)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21877664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4\/((q*q\/(q*(q\/(q*q\/q**(4\/11)*q))\/q*q))\/q)*q*q**(-18)*((q\/(q**(-3)\/q))\/q)\/q assuming q is positive.\nAnswer: q**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*u**2 + 83*u**2 + 72*u**2.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -54*d + 52*d. Calculate the remainder when 61 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b + 59. Let t(c) = 7*c + 27. Calculate -6*n(m) + 13*t(m).\nAnswer: 13*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.636 - 0.136. Let g = 0.8 - 0.86. Which is the smallest value? (a) y (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.872967 + 0.28839.\nAnswer: 31.161357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 9*y - 2. Let m be x(6). Let h = 31 - m. Suppose -2*l + 8 = 5*k, -5*l + 5 + h = 2*k. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52858 - -91243. Find the second derivative of -236*y**4 - 2*y**2 + 2*y**2 + 279*y - 38385*y**3 + h*y**3 wrt y.\nAnswer: -2832*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92805 and 19665.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1659800 divided by -4\nAnswer: 414950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 711 + 261. Calculate the greatest common factor of i and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 117 = 63. Let x(p) = -6*p**3 - 8*p**2 + 6*p + 6. Let q be x(-3). Let c = q + r. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*3\/6. Factor 3\/4*z + 0 + q*z**3 - 3\/2*z**2.\nAnswer: 3*z*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.5 + 85.7. Let m = j + -44. Which is the second biggest value? (a) -5 (b) 0.1 (c) m (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 1 + (-59 - -50) + 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhhwhwhwhhhw. What is prob of sequence whh?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 7*s - 609. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, -1, -4, -234, 29 in increasing order.\nAnswer: -234, -4, -1, 1, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -219763159 minus 5?\nAnswer: -219763164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 714940 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/8*4\/(-215). Let f = s + 2501\/860. Find the common denominator of f and (-113)\/28*(-9 - -11).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 2836324.\nAnswer: 99271340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4, -6 in decreasing order.\nAnswer: -4, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.99 - 1.89. Let x = 24.1 - i. What is the nearest to 1\/2 in -1, 2\/57, x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, e: 2}. Give prob of sequence qqe.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4518?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -5. Let i be (-8)\/(4*t\/6). Find the first derivative of 0 - 5 - 15*a**4 + i*a**4 wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 33. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -433.02 - -433. Which is greater: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -327, -368, -473, -672, -995, -1472?\n\"Answer: -5*a**3 - 2*a**2 - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188 - 162 + 107)*(-2 + 1 - 2)*(3*d + 3*d - 4*d - 2*d + 0*d + 0*d - 3*d + d + d + (-2 + 2 - 2)*(2*d - 3*d + 2*d)).\nAnswer: 1197*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(27)*-4*6.\nAnswer: -432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 7 - (-11 - -10) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -5, -6, -5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzs when four letters picked without replacement from lzokszzlzsosoo.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.484294ml in litres?\nAnswer: 0.002484294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 5*d)*(-731*d + 1114*d - 4984*d).\nAnswer: -23005*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-25))\/(8\/(-660)). Is t greater than or equal to 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11033033 (base 5) to base 8\nAnswer: 273422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/5130 and 47\/513.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 7:56 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrsrsrss. Give prob of picking 1 r and 3 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -716.7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0 - 1)\/(26\/(-52)). Suppose 9 = h*b - 3. Solve 0 = b*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 1045 = 9*x. Calculate the remainder when 201 is divided by x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 r when four letters picked without replacement from {g: 3, r: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12 - (-11)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2428 = -2*v + 3*x, 0*v + 3*v + 3672 = -3*x. Let r = 3606 + v. Suppose r = -4*b + 6182. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 4*z + 3. Let m be p(2). Let f(h) = -h. Let k be f(4). Let s = 6 + k. What is the highest common factor of m and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 6) to base 12.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*d + 1)*(d**2 + d**2 - d**2) - 100*d**3 + 77*d**3 - 922*d**3.\nAnswer: -943*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -292\/39, 0.5, 0.2, -1, 2 in decreasing order.\nAnswer: 2, 0.5, 0.2, -1, -292\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**5 + 2*j**4 - 92*j**2 - 99699*j wrt j?\nAnswer: 60*j**3 + 24*j**2 - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -309, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 484, 3, 2 in ascending order.\nAnswer: 2, 3, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-24 - (0 + 24))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**7\/840 + 13*n**5\/120 + n**3 - 4*n. Let j(w) be the second derivative of q(w). Find the second derivative of j(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let t(n) be the third derivative of -3*n**4\/8 + 116*n**2. Give s(t(r)).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 11)*(4*q - 6*q - 2*q).\nAnswer: -52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 4950209*k**2 - 39601720*k + 79203472.\nAnswer: (k - 4)**2*(k + 4950217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9495138cm to nanometers.\nAnswer: 9495138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 - -0.166.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 0*q + 0*q)*(2*q + 9*q - 3*q) - q**2 + 3 - 3 + (1 - 1 + 2*q)*(4*q + 3*q - 6*q) + 4*q**2 - q**2 - q**2 to a*q + g + b*q**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-16))\/((-25)\/((-500)\/15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 140 = 5*d, -3880025*r + 4*d + 112 = -3880022*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*w + 10 = -4, 5*w = 4*l + 23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12144 and 18216?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 17*r**2 - 100*r - 326. Let v be k(-21). Let h be 222\/10 - (-1)\/(-5). Find the first derivative of 26 + v + h*a**3 - 21 wrt a.\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123.6 - -65.8. Round p to zero decimal places.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370147 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5056*w**2 - 3060*w**2 - 5*w - 1654*w**2 + 5*w. Let q(d) = d. Calculate q(b(t)).\nAnswer: -9770*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*1*(-4 + sqrt(684) + 1))**2 + -2.\nAnswer: -360*sqrt(19) + 6254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8338286 to the power of 1\/2, to the nearest integer?\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8892.818 grams?\nAnswer: 8892818000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 776 - 774. What are the prime factors of (3222\/12 - -2)*q?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32451.5kg?\nAnswer: 32451500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14273 and 84707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/(-13) - 42\/273. Suppose -5*o = -f + 13 + 7, f = 2*o + 8. Suppose b = 3*p - p + 9, f = -b + 3. Is u equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/15622*1*((-1)\/2)\/((-13)\/104).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 5104?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5966 = -3*i + 4*t, 9945 = 5*i - 5*t. Suppose 5*v - i = -5*j, 0 = j + 5*v - 190 - 228. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 + 5\/25. Suppose -m - 3*m + 96 = b. What is the highest common factor of m and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.6 + -3.6. Let s = 23 - p. Let g = -0.7 - -1. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-602059.\nAnswer: 421441.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14649 is divided by 506?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 8*w + 6. Calculate j(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 - 74316*w\/7 - 460238988\/7.\nAnswer: -3*(w + 12386)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.79 + 1.21. Put g, 1, 0.7 in descending order.\nAnswer: g, 1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50872 - -71?\nAnswer: 51053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(5))*1)**2 - (1*sqrt(55))\/sqrt(11) - ((sqrt(5) + sqrt(10)\/sqrt(2))*6 + 0))*4*-6.\nAnswer: -144 + 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 169*i - 163*i - 1536. Suppose 13*j - 724 = -i. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (-5 + -2*sqrt(468))) + -5.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4382 + 3781 = -42*o + 4887 for o.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 71000*m + 710500.\nAnswer: -5*(m - 14210)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*a + 58 = 139*a. Suppose a*v = 48553 + 55818. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) - 3\/(-2). Suppose 2*r + q = -0. Let y(z) = -165*z**3 + z**2. Is y(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 4, l: 3}. What is prob of picking 1 h and 3 l?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -5, 3\/4.\nAnswer: -5, -1\/8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381 and 56134.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -38081455.1 to the nearest 1000.\nAnswer: -38081000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 16*o = g - 64, 2*o + 116 = 2*g. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, z: 8, b: 5, a: 2, w: 2, v: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 43*y**3 + 4*y**2 + 2*y - 40. Let r(u) = 2*u**2 + u + 1. Calculate -l(z) + 2*r(z).\nAnswer: -43*z**3 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.205 + -1.97. Is -1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 5845943.\nAnswer: 13\/5845943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 25 = 10. Solve 3*b - c*y = 17, 4*y - 2 = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -30456, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -203\/461 or -1?\nAnswer: -203\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 62 - 8040*a - 115.\nAnswer: -8040*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 - 2 = 0. Suppose i = 4*o + 3*a - 6*a - 11, -3*a + 1 = 2*o. Find the third derivative of 19*d**3 + 4*d**o + 4*d**2 + 17*d**2 + 3*d**3 wrt d.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {l: 6, n: 4, s: 4, x: 1}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 117, 183, 249?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*s - 2535, 2*s - 3*j + 6*j - 995 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2*i - 5. Let c be t(4). Suppose -5*g = -c*k - 124, 2*g - 3*g + 29 = -2*k. What is the remainder when 1\/((-9)\/(-204))*3 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -27331175*l**2. Let n(z) = -3*z**2. What is n(m(f))?\nAnswer: -2240979380641875*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 2663620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 152036*a**2 + 5*a**3 - 152036*a**2.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -623 (base 7) in base 15?\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 141135 = -28*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhohhhhoqhhqhqqhqq. Give prob of picking 1 h and 1 o.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 95*d - 33*d - 190. Suppose -3*n - 16 - 11 = 0. Let q = n - -14. Calculate the least common multiple of d and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 685 = -17*s. Let z = 48 + s. Solve -4*a - 2 = -z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 - -4. Let o be 4\/4 - (0 + 8\/10). Let d = 1 + -0.5. Which is the closest to q? (a) o (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.31987 days in seconds?\nAnswer: 8408436.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 2. Let p be u(18). Suppose -p*o + 48 = -12*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u**3 + 4*u**2 + 3*u + 1. Let m be (5 - 8) + 0 + 1. Is z(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/14 smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8829412 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*s + 37953252 = 41*s - 58*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 11*o - 7. Let c be j(10). Find the second derivative of 2*t**3 + 0*t**c - 10*t + 13*t wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212211002010 (base 3) to base 7\nAnswer: 3661530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6615 by -189.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -287c038?\nAnswer: 287c037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 111. Let i = -70 + l. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13820186.\nAnswer: 2, 2237, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, 3, 16, 31, 48?\n\"Answer: j**2 + 8*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -93, -361, -809, -1437?\n\"Answer: -90*j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5108236 and 3856?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120823 is divided by 8228.\nAnswer: 5631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 11:13 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*s + 5*r - 21, 0 = 4*s - 3*r + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3 + 2. Suppose -s = 2*s, h*s - 30 = -3*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -2*u**3\/3 - u**2 + 4*u. Calculate the remainder when r(-4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 72 = 3*b. What is the smallest common multiple of 8 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 9:10 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 837 + -595. Suppose -r + h = -152. What are the prime factors of r?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-73\nAnswer: -65.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(612)*1 + -4 + sqrt(612) + 3 + 1 + sqrt(612) + ((sqrt(408)\/sqrt(48))\/sqrt(2) - (sqrt(136) - -6*-1*sqrt(136))\/sqrt(8)).\nAnswer: 2 + 47*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z + 2*z)*((2 - 5 + 4)*(2*z**3 - 6*z**3 + 3*z**3) - z**2 - 5*z**3 + z**2).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3162874 and 7124?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2558844 - -1?\nAnswer: -2558843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - n**3 + 10*n**2 - 12*n**2 + 0*n**2 + n.\nAnswer: -n*(n + 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**3 + 6*a**2 + 6*a - 6. Let g(j) = 7*j**3 + 7*j**2 + 7*j - 7. What is -6*g(w) + 7*r(w)?\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255731.\nAnswer: 7, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103878?\nAnswer: 2, 3, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*j + 125 - 215 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15341.5 + -15341. Which is the nearest to 0? (a) 5 (b) -13\/12 (c) k (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132.0947 - -132.2046943. Let f = 0.11 - j. Round f to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 7\/2*m**2 + 20 + 6*m + 8\/3*m**3. Let x(b) = -5 + 2*b**2 - 3*b**2 + 4 - b. Give -6*x(s) - y(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31118 - -31140. Suppose 4*b + 5*x - 4063 = 0, 5*b - 5073 = 5*x - 28. Calculate the highest common factor of b and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/5)\/((-2)\/((-10)\/(-3)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:57 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + n + 5117 - 14436 = 0, -i + 3097 = 5*n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56015022 + 5?\nAnswer: -56015018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/68)\/(-1) + (-1381908)\/1031016?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/13096 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 13*z**2 - 5*z + 17. Let c be s(13). Let g = 86 + c. Suppose 0*r = -2*r + g. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 7*g**2 - 7*g + 7. Let w be s(5). Suppose 4*b - 14 = w. Suppose -t - b = -2*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 133545\/4, 1, -8\/3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 13 - 9. Suppose 3*f - o = 1. Let q(j) = 10*j**2 + j. Determine q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*k**2 + 88*k**2 - 6*k**3 + 109*k**3 - 167*k**2.\nAnswer: 103*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.224 (b) -4 (c) 2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 69*h**2 + 72*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/2 + -2. Let n = 13\/23 + -22\/161. What is the closest to 1 in 0, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11396 and 296?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9*21 - (-5)\/15. Let w(r) be the third derivative of 2\/21*r**3 - 1\/210*r**v + 0*r + 0 + 3*r**2 + 1\/84*r**4. Factor w(h).\nAnswer: -2*(h - 2)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:49 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -615 greater than or equal to -616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 2. Let k be f(2). Let b(s) be the first derivative of -s**2\/2 + 5*s + 11. Give b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43553 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-627)\/(-38)))\/((1\/(-1))\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728670.\nAnswer: 2, 5, 172867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3 - 588*x**4 + 90*x + 607*x**4 + x**3 wrt x?\nAnswer: 228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(77) - (-1*sqrt(77) - sqrt(77))*-5)\/(-4*sqrt(44)*1))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.8581965555 from 486.\nAnswer: 482.1418034445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-4)\/(-20))\/((-6)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-12)*(p\/(p**(-9\/2)*p*p)*p)\/p)**(1\/79))**30)**(-37) assuming p is positive.\nAnswer: p**(9435\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1900) + (sqrt(1900) - ((-2*(sqrt(1900) + 4 + sqrt(1900)))**2 - sqrt(1900))) - sqrt(1900)) + -3).\nAnswer: -152335 - 3100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 21*q - 17. Let x be z(9). Let c = x - 89. What is the greatest common factor of c and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (1*sqrt(240) + sqrt(240))*2 - -2*sqrt(240)*-2)\/(5*((2*1*sqrt(300) - sqrt(300)) + sqrt(300))))**2.\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (63 - 57)*((-2760)\/(-468) + -6)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljou when four letters picked without replacement from {u: 1, j: 6, l: 3, o: 4}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28358?\nAnswer: 2, 11, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:40 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12289*w + 222056 - 48785 = -217718 - 100571 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -53. Suppose 9*w = 4*w + i. Sort -3, w, 2 in ascending order.\nAnswer: -3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.8456 rounded to one decimal place?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 u when four letters picked without replacement from sssuususuu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.348111ug to kilograms.\nAnswer: 0.000000003348111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 17 - 14 - -11.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*3*(sqrt(77) + -4*sqrt(77) + sqrt(77) + sqrt(77)))\/(6*-4*sqrt(11)*-1).\nAnswer: -sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 444, 465, 500, 555, 636, 749?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2470, 4928, 7376, 9814, 12242?\nAnswer: 14660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o + 16*o - 18*o)*((2 - 3 + 2)*(-3 + 1 + 4) - 1 + 0 + 0)*((3 - 3 + 1)*(2*o + o - 2*o) + 23*o - 11*o + 34*o).\nAnswer: -705*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.77 + 6.77958. Round c to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 996*i + 205510. Determine a(-206).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/((-9)\/81). Solve 6 = w*y - 6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 9, -3*b + 2*s - s - 393 = 0. Let v be (3 - -1)*b\/(-40). Suppose -v*g - 176 = -14*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/3 (c) -0.74 (d) 1\/4 (e) -5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93663 divided by 9.\nAnswer: -10407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9565922 divided by -2?\nAnswer: 4782961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -179*b + 842. Calculate i(11).\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2752*j - 1032. Let w(t) = 43*t + 16. Let u(i) = -129*w(i) - 2*x(i). Let r(b) = -3*b**2. Determine r(u(n)).\nAnswer: -5547*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7933 divided by -17.\nAnswer: -7933\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q - 11. Let m(u) = -22*u - 23. Let p(l) = 6*m(l) - 13*s(l). List the prime factors of p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/29)*b*b)**(2\/27)\/(b\/b**(-28\/3)*b**(-6)) assuming b is positive.\nAnswer: b**(-1093\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346135872.\nAnswer: 2, 3019, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3455720 to the nearest integer?\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0 + 0)*(-22*m - 5*m - 24*m).\nAnswer: 102*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o + 27*o - 587538 = 12*o. List the prime factors of o.\nAnswer: 3, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.390647 seconds to weeks.\nAnswer: 0.0003396009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8*f - 10, 4*f - 244 + 248 = 4*c. Let x be (-24)\/40 + (-67)\/(-95). What is the nearest to 1 in c, 2\/3, x, -9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 25, 3*d + 3*z + 30 = 6*d. Suppose -2*f - m = 3*m - 28, -5*f - d*m = -45. Does 8 divide (-4)\/3*(-8 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 + 15. Let f = d - 207.2. Round f to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 8}. What is prob of sequence sszs?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 10 = -2*w, -5*v + w - 104 + 118 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. What is the second biggest value in -0.1, x, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52520 (base 8) to base 14\nAnswer: -7d60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24607 - 37?\nAnswer: 24560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -1020011111?\nAnswer: -1020011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**2\/6 + 70*x\/3 = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 21.1 (b) 3\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 7*f + 1. Let p be k(9). Suppose 4*w + p = 63. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 + -4)*-1 + (9 + -3 - 0). Let t(z) = -2*z**3 - z - 9. Calculate t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171.7 - 171.2. What is the nearest to 7 in -1, 0.4, -2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/9 + 18)*(-2 - 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20692?\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:12 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, i: 1, n: 1, s: 2, m: 2}. Give prob of sequence smms.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 89. Suppose -k = -2*v - 14 + r, -5*v - 5*k + 5 = 0. Suppose 3*w - 23 = 5*n + 6*w, 2*w + 10 = -2*n. Sort n, 3, v in descending order.\nAnswer: 3, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45 - (13 + -16 + (-2)\/2). Suppose 0 = -0*q + 3*q - 309. Is 15 a factor of q\/7 + 14\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-85)\/(-30) - 1\/(-6). Let h = j - -3. Suppose 0 = h*i - i - 955. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36793235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -356542, -1426082, -3208658, -5704276, -8912942?\n\"Answer: -p**3 - 356512*p**2 + 3*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51254 is divided by 334?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/3 - q**2\/2 - 49. Let v(j) = j**3 + 5*j**2 - 8*j. Determine v(x) - 5*w(x).\nAnswer: x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, y: 4, a: 6}. What is prob of picking 2 a?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 + 84*i**2 + 2*i + 119. Give h(-42).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 18726*m**3 - 29334063*m**2 - 349988940*m - 1047948300.\nAnswer: -3*(m + 6)**2*(m + 3115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -146\/3. Let y = 0.2 + -0.1. Let k = 0.2 + -0.2. Which is the closest to y? (a) 3\/4 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3086 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45663110 and 1798?\nAnswer: 1415556410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f + 7 = -4*i, -5*i = 4*f + 8. Suppose 0 = 58*q - 57*q - f. Solve -q*p - 3 = 0, 3*n = -0*n + p - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + (((2 + sqrt(1900))*5 - sqrt(1900)) + sqrt(1900) + sqrt(1900) - 4*(2*sqrt(1900) - sqrt(1900))) + -5)*-1)**2.\nAnswer: 200*sqrt(19) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 986 and 3190?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-18 - n + 18) - 2 - n + 0 - n.\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.383\nAnswer: -0.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k + 3. Let g(y) = -4*y - 2. Let v(q) = 3*c(q) + 4*g(q). Let i(t) = -2 - 1 - 2*t + 4*t. Let o(x) = -2*i(x) - 2*v(x). Differentiate o(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/20*(23 + -17). Which is greater: m or 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -40 + -11 + 2 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23879 is divided by 59.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*c**5\/5 - 7794*c**4 - 3322947*c**3\/5 + 17157384*c**2\/5 - 12654732*c\/5 - 1140624\/5 = 0. Calculate c.\nAnswer: -178, -3\/37, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*l + 5*f, -100*f + 40 = 4*l - 47*f - 52*f for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19427, 38917, 58407, 77897, 97387?\nAnswer: 116877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -433.6554815.\nAnswer: -436.6554815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 6*d + 0*d)*(-6 + 4 + 0) + (0*d + d - 2*d)*(-2 + 0 + 1) + 0*d + d + 0*d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 8*t + 4. Suppose 0 = -3*w + w + 10. Suppose v = -11 + w. Let f be r(v). Calculate the highest common divisor of f and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 - (-10 + 12 + 4 + -42)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-2 - (1 - 3)). Suppose 4*c - 44 = -y*j, c + 3*j - 8 = 5*j. Solve 2*o = c - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s + 1. Let o be 7\/((-63)\/(-6))*(-78)\/4. Let x = o - -19. Let n(b) = -13*b - 2. Calculate x*n(j) + 11*g(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 - (-3 + 7) - (-53 - -81).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -25144?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1260)\/720)\/((0 - 1)\/572) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 3*c - 18*c**2 + 3 - 3 + 2*c**2 + c**2 - 2 + 2 + (-3*c + c + 4*c)*(2*c + 0 + 0) to the form o*c**2 + x + j*c and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 3, w: 3}. What is prob of sequence mwjw?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953385897 - -0.04?\nAnswer: 2953385897.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 229 and -0.129?\nAnswer: -29.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -271554, -543110, -814666, -1086222?\n\"Answer: -271556*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760663800 rounded to the nearest 1000000?\nAnswer: 1761000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.4 in -2, 197, 11930?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 11 in descending order.\nAnswer: 13, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780 by -2.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -14. Let m = 7663 + -7597. Calculate the greatest common factor of f and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616148 and 3370692.\nAnswer: 57301764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0053 bigger than 1\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 347*d - 24. Let b be w(4). Suppose 4*y + y - 1009 = -3*j, -4*j - 2*y = -b. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 5*y - 3*y)*(838*y - 1681*y + 3*y**2 + 846*y) as a*y + b*y**2 + d*y**3 + v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 1. Let m(i) = 14*i - 57. Let l(j) = 3*j - 11. Let z(y) = 11*l(y) - 2*m(y). What is 4*c(f) + z(f)?\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + ((-1)\/(-4))\/((-24)\/(-384)). Which is smaller: c or 47?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 12097507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13733080 = 3*r - 4*i + 13732941, 5*r + 13*i - 153 = 0 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2017 + -b2?\nAnswer: 1c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0925? (a) 2 (b) -4 (c) -327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8480 rounded to the nearest one hundred?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 71. Let b(m) = -m**3 + 5*m**2 - m - 18. Let g(k) = -k**3 - k**2 - 1. Let q(n) = -b(n) + 2*g(n). List the prime factors of q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 33. What is v(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 52 = -4*m + r, 0 = -3*m - 4*r + 39. Let z = 31 - m. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-1 - 1) + 1). Let c(a) = -36*a. Let h be c(l). Is ((-1)\/2)\/(2\/h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/2 - (-2)\/(-1). Let s = 1 + k. Find the first derivative of -10 - 2*q**3 + s*q**3 - 3*q**4 - q**3 wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**5 - 13*y**4 + 16*y**4 - 4*y**5 + (0 - y**2 + 0)*(-5*y**3 + 2*y**3 + 5*y**3) - 23641*y**3 - 134*y**5 + 23641*y**3.\nAnswer: -134*y**5 + 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.941 > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126999\/7 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*l = -5*l - 10, -2*h + 5*l = -2. Suppose 0 = i - 2*i + h. Calculate the greatest common divisor of 77 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/21 - (-12)\/(-9). Let l(k) be the third derivative of 5*k**4\/24 + 2*k**3\/3 + k**2. What is l(q)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6397.7292 to the nearest integer.\nAnswer: 6398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/12 + b**3\/6 - 7*b**2\/2 + b - 2. Let u(f) be the first derivative of j(f). Calculate u(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(304) + sqrt(304) + 0) - (3 + sqrt(304) + sqrt(304))*1)**2 - (0 + (sqrt(304)*-1)**2 - (sqrt(304) - (-4*(-2 + sqrt(304)) + sqrt(304))))) + 5.\nAnswer: 208*sqrt(19) + 19158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -318.332 - -0.332. Let s = k + 320. Put 1, s, -1 in decreasing order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405783.\nAnswer: 3, 7, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -233, -328, -421, -512?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/10, 1\/8, -3\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + 2.09. Let b = 0.49 - q. Round b to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -60*k - 745. What is p(-13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - -1.8?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**2 - 10010255*k - 10010245.\nAnswer: -5*(k + 1)*(2*k + 2002049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3. Let k(u) = 2*u**3. Suppose -17 + 61 = 4*g. Give g*f(c) + 6*k(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-99)\/308)\/((-33)\/88)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -314572, -314570, -314568, -314566, -314564?\n\"Answer: 2*r - 314574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/17 (b) -3 (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 2*l**2 - 4*l - 2. Let h(m) = -2*m**2 - 1. Let k be h(1). Let x be r(k). Let j(w) = -5*w**2 + 2*w - 1. Give j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 2:02 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 540318*s**3*v**2 + 1087*s**3 - 77133*s**2*v + 610*s*v**3 wrt v?\nAnswer: 1080636*s**3 + 3660*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 67. Suppose -a = -5*s - 0*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**2 + 3. Let k be b(-3). Suppose -2*u - 21 = k. Let m be ((-2)\/(-3))\/2*(-465)\/62. What is the third smallest value in u, 2\/7, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -m - 4*m. Let o(u) = -u**2 + u - 1. Let y(i) = -4*i**2 - 3. Let z(c) = 3*o(c) - y(c). What is z(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let c(g) = 2*g. Let p(s) = -4*c(s) + 3*l(s). Let j(o) = 7*o. Determine p(j(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 - 0.06. Let k = -1.8 + o. Let x = 0.4 - k. Are x and 2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 16 = 4*n. Let u(p) = p**3 - 7*p**2 - 7*p - 8. Let w be u(n). Solve 5*z - 16 - 3 = 3*s, w = -2*z + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093 minus -0.286?\nAnswer: -1092.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13588 + -3599. What are the prime factors of m?\nAnswer: 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*t = -68, -4*q = -q + 4*t - 44. What is the lowest common multiple of 7\/168 + 98777\/2472 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -148*f**2 + 2*f + 121. Let o(s) = -149*s**2 + 3*s + 123. Let t be 96\/72*(-3)\/2. Let v(i) = t*o(i) + 3*c(i). Differentiate v(z) wrt z.\nAnswer: -292*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -861189 by 3.\nAnswer: -287063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2. Let y(a) = -325618*a**2. Determine d(y(f)).\nAnswer: 318081245772*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1632, 13337, 45062, 106803, 208556, 360317, 572082?\nAnswer: 853847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -305 - -319. Suppose u*l + 464 = 16*l. Is l a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12169 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -281.3 and -85.\nAnswer: -366.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18811968 to the nearest integer?\nAnswer: 4337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 1. Suppose r - 1 = 2. Let l(t) = -6 + r*t**2 - 464*t + 464*t. Calculate 6*g(o) + l(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/30, -2, -37, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -11\/2*b**2 + 7*b + 0 - 4\/3*b**3 - 1\/12*b**4. Let z be f(-5). Solve -4*g = 4, -z*d = -3*d - 3*g - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oujooooouo. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/9 + 184*l**3\/9 - 185*l**2\/9.\nAnswer: l**2*(l - 1)*(l + 185)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66120 is divided by 13223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 1. Solve 2*l = 2*s + h*s - 8, 3*l = -s - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/7, 0.0845, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -18\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92, -41, 60, 223, 460, 783, 1204, 1735?\n\"Answer: 2*r**3 + 13*r**2 - 2*r - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1 - -2)*(-2)\/6. Let o(y) be the first derivative of 0*y**2 + 1 + t*y + 1\/2*y**4 - 1\/6*y**3. Factor o(f).\nAnswer: f**2*(4*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 129057 + -2?\nAnswer: 129055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 4. Suppose l*y = 9*y - 280. Calculate the highest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 23. Calculate z(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -30 + 31 + 68.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*t + 5*c**2*q*t + 83*c**2*t + 5*c*q*t - 91*c + 2*q*t wrt c.\nAnswer: 12*c*t + 10*q*t + 166*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 45548?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - o**2 + o)*(-27*o + 27*o + 12*o**2) as m*o**2 + z + r*o + j*o**3 + k*o**4 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:30 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 x, and 1 t when four letters picked without replacement from wtwtwnttwtwwtxttttwx?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, 0, 5, 0.04, 85?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 2*n**6 + 13*n**3\/3 + 8. What is the third derivative of j(w) wrt w?\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305 + 60 + 138 + 1\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -241042 (base 7) in base 10?\nAnswer: -43591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3457 or 3460?\nAnswer: 3460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 - (5 - 2) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -476, -576, -518, -296, 96, 664, 1414, 2352?\nAnswer: 3484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49 - 3*(-3)\/(-9). Suppose o = a + a. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6682061, -6682063, -6682065, -6682067, -6682069?\n\"Answer: -2*w - 6682059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 144756?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -731.6 and -0.157?\nAnswer: 731.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(6) - (sqrt(6) - (sqrt(864) + (sqrt(864) - sqrt(864)*-3) + sqrt(864))))\/(sqrt(300) - (sqrt(300) + sqrt(300)*-2)))**2.\nAnswer: 548\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -12*s - 7. Suppose -36*j = -30*j + 6. Put j, -4, s, 0.4 in increasing order.\nAnswer: -4, s, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**4 + 0*a**4 + a**4)*(1 + 2 - 4) - 13*a**4 - 9*a**4 + 2*a**4 to y*a**2 + n + g*a**3 + h*a**4 + t*a and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 13*j + 23. Let u be f(-14). Solve -7*v - u = -10*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -31 + 10*k**2 + 22*k - 4 + 19*k**2 - 3. Is j(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 11. Suppose -193*g + 17322 = -11381 + 5543. What is the least common multiple of a and g?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(1573) - (sqrt(1573) + 1 + 5) - (-2*(-1 + sqrt(1573)) + (sqrt(1573) - (1*sqrt(1573) - sqrt(1573))) + 5).\nAnswer: -13 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**3 + 2*k**3 - 10*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99117.\nAnswer: 3, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*q - 8*q**2 + 10*q**2 + 37*q + 43*q + 2833 to the form y + p*q**2 + k*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.04, -2, 1\/7 in increasing order.\nAnswer: -5, -2, -0.04, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 529*f**3\/4 - 8119*f**2\/4 + 694*f - 60.\nAnswer: (f - 15)*(23*f - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101.3 + -0.3. Which is bigger: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*q**2)*(-11*q**2 - 13*q**2 - q**2) - 2*q**4 + 3*q**4 + 0*q**4.\nAnswer: 76*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6583443 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**3\/6 - k. Let g be (1 - -5)*11\/(-3). Let h(r) = 6*r + 11. Let f(z) = -z - 2. Let m(n) = g*f(n) - 4*h(n). Give q(m(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 30733632*u\/11 - 118069516988928\/11.\nAnswer: -2*(u - 7683408)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -74.5 (c) 0.2 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5916195 is divided by 6234?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 4*z - 4 + 2. Let x(p) = 26*p + 10. Give 16*h(a) + 3*x(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24870429 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-249)\/51 + 26 + -14 + 1*-7.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:04 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 - 93. Let v = 9\/4 + -3. Let q = v - -19\/36. What is the third biggest value in -5, n, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39367, -64936, -90507, -116080?\nAnswer: -141655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 0.4, 0, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**4\/24 - 5*z**3 + 2*z**2 + 51. Let h(p) = 54*p + 1. Calculate h(j(b)).\nAnswer: -54*b - 1619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*y - 83 + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 + 1430*w**3 + 1420*w**2 - 1430*w - 1425 = 0.\nAnswer: -285, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 12*k**2 - 6*k + 4. Give d(-11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16cc07 (base 14) to base 7.\nAnswer: -6554610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2843 by 25880.\nAnswer: 2843\/25880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 21*y**2 - 36*y + 39. Let h be f(-21). Is 106\/h - (-141626)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125020)\/475)\/14*5\/2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 112844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 11*t + 4. Let l be p(-7). Suppose -42*y + 220 = -l*y. Solve -4*u - 22 = -3*r, 0*u - 5*u - y = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21374.2 or 38\/3?\nAnswer: 21374.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) - sqrt(28)\/sqrt(4))**2 - (2*1*sqrt(7))**2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16*g = 18*g + 6, 4*g + 20 = 0. Solve -c*f = -3*p - 2, 21 = 3*p + f + 38 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211000 (base 4) in base 11?\nAnswer: 7a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1*(sqrt(5) + -1) + sqrt(500)*2)**2 - 5*(sqrt(320)*2 - sqrt(5))**2)*3.\nAnswer: -11462 + 114*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - ((6 - (-4 + 29 - 13)) + 17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(343)*-2 - ((5*(sqrt(70) + -2*sqrt(70)))\/sqrt(10))**2).\nAnswer: -84*sqrt(7) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 30 = b, 3*b - 6*b - 118 = -4*x. Let w = 18 + -12. Suppose x - 100 = -w*y. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let l(h) = 189*h - 53*h - 47*h - 45*h - 45*h. Let f(m) = 2*m**2 + 2*m. What is t*f(i) - 2*l(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3925 divided by 1?\nAnswer: -3925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12253*h - 12140*h + 24155*h)*(-h + 2*h - 2*h).\nAnswer: 238*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**0)\/l)**(-23))**(-19\/4)\/((l*l\/l**(1\/5)*l)\/l**(-2\/5))**39 assuming l is positive.\nAnswer: l**(-624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -12, -9, 0.6, 0.2, 3.\nAnswer: -12, -9, -0.4, 0.2, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50137, -100274, -150409, -200542, -250673, -300802, -350929?\nAnswer: -401054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 46*t - 15. Calculate the remainder when o(-14) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513333.\nAnswer: 3, 57037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.36 + 59.36. What is the fourth biggest value in 0.2, a, 11, -2, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(17\/2)\/(j*j**(-21)*j))**(-49))**40 assuming j is positive.\nAnswer: j**(-53900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376639 is divided by 75323?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.003 + -0.048. Let v = b - -0.044998. What is v rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 234*l - 116*l - 116*l - 15*l**2 to the form y*l + g*l**2 + n and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 != -867403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 625*q + 7018. Let y be a(-11). Suppose 0 = -5*u + 4*u + 33. Calculate the highest common factor of u and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-1*sqrt(44))\/sqrt(4)) + -4.\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgcguccduuk. Give prob of sequence gkr.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 81 - 5537. Is 44 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 5. Give g(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18 - (-585)\/(-30) - (-6)\/4. What is the fifth biggest value in -0.01, -1, 32, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*t*v**2*x + 3*g*t*v*x**2 + 3*g*t*x**3 - 2*g*t*x**2 + 118*t**2*v**2*x**3 + 6*t**2*v*x wrt x?\nAnswer: 18*g*t + 708*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-2\/3)*h)\/h)**(-2\/97))**(3\/17) assuming h is positive.\nAnswer: h**(-8\/1649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let b = c - 2. Let a(v) = -v**3 + 6*v**2 + 8*v - 5. Let n be a(7). What is the closest to b in -1\/3, n, -1\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 0*a + 3*a + 2 - 5. Let s be -5*2*(-2)\/(-4). Let b be q(s). Solve -b*f - 3*m = 20, 3*m + 0*m + 32 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2002202023032?\nAnswer: -2002202023031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g**2 - 10*g**2 + 109*g**2.\nAnswer: 183*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15192.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + -2.03. Let o = -151 - -147. Put o, -1, b in decreasing order.\nAnswer: -1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 27022*t - 162242. Give n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6296024 and 98.\nAnswer: 44072168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/(-4) - (-21)\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -0*o - 3*k - 51, 51 = -8*o - 5*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1729)\/39)\/((-1)\/15*1). Suppose -24*y - a = -29*y. List the prime factors of y.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(3\/17))\/n)**(-3\/14)*(n**(2\/47))**(-17))**(-4\/13) assuming n is positive.\nAnswer: n**(15338\/72709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 14*k - 21. Let o be n(-12). Suppose -105 = -o*v + 282. List the prime factors of v.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/9 + 6 - -967.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -24?\nAnswer: -23.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1665\/1110*(-56)\/(-6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(0*z + 0*z - 2*z) - 2 + 5*z + 2)*(4*z**3 + 0*z**3 - 3*z - 2*z**3).\nAnswer: 6*z**4 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 178*g - 382. Let i be b(36). Calculate the greatest common divisor of i and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t - 1994*t - 1663*t + 892*t.\nAnswer: -2717*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:07 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = -7*j - 17*j. Suppose 4*l = 4*k + 20, -k - 8 = -4*l - 0. Find the common denominator of 351\/j + 3 - k and -32\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -122*g**2 - 9*g - 1. Let p be w(-4). Is (-1 - p)*(7 - (-168)\/(-32)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/3 + 154*j**2 + 9800*j\/3 + 17600 = 0. What is j?\nAnswer: -440, -12, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1491)\/(-126) - 2\/(-12). What is the greatest common divisor of o and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001581 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -4\/99843 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 902533 + -37622. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10712 + -10677 + 42 + 2.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let j(l) = l - 4. Let q(x) = -2 + 7 - 3 - 1. Let c(s) = -5*j(s) - 20*q(s). Determine c(d(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*k - 0*k, 110*g - 811 - 1416 - 139 = -2*k - 386 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-75)\/20)\/(-12 - (-273)\/28). Which is the closest to 310? (a) -1\/4 (b) 2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6853815?\nAnswer: 3, 5, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 13*j**2 - 11*j - 6. Let n be w(12). Suppose 4*v + 56 = n*v. Solve -b - 4 = -4*z + 8, 4*z + 3*b - v = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = f - 5*f, 4*f + 3*a - 17 = 0. Suppose -95 - 379 = -f*y. What are the prime factors of y?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1807689.\nAnswer: 3, 13, 46351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -15 - 10. Suppose 4*c - b = 6 + 9, 21 = n*c + b. Let j = 0 + c. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guzu when four letters picked without replacement from duuddgxzddddxxxgddg?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 10 = 10*j. Let g(u) = 3*u**2 + 4*u**2 + 5*u + 1 + 6*u**2 + u**3. Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-6 + (-6 - -6) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(170)\/(sqrt(10) + sqrt(110)\/sqrt(539) + sqrt(10)).\nAnswer: -14*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -93070 divided by -2\nAnswer: 46535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-639)\/2343.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*n + 516*n = 53 + 55 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3127, 0.578, -1\/2 in increasing order.\nAnswer: -1\/2, 0.578, 3127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 - 27*k - 36. Determine x(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*h**2*l*z - 6*h**2*z - 353*h**2 + 7090*l*z - 32*z with respect to l.\nAnswer: 24*h**2*z + 7090*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 121500 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 757.4 + -149.4. Let d = t - 607.993. Round d to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278 - 12 = 23*a + 170 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-42)\/9))\/((-48)\/(-64))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/15)\/(0 + 24\/(-410)) and -67\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245504 (base 7) to base 3\nAnswer: 2021222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o. Let c be -9*(-3 - -2) + -20. Let n(v) = -55*v. Give c*g(i) - 3*n(i).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10045713016 to 3 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4345*d + 52465. What is n(-12)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1560?\nAnswer: -1\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3486 and -38\/200445?\nAnswer: 400890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -121\/39, 0.4, 30, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-495)\/22*8\/6)\/(126\/12).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952142617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -124906*q**2*v**3 + 3*q**2*v**2 - v**3 + 4*v**2 + 2*v - 39 wrt q.\nAnswer: -249812*q*v**3 + 6*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -h + 5*h + 40410, 2*m + 2*h = 16164. Let c = m - 32105\/4. Let w = -33\/4 + c. Calculate the common denominator of w and 9\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 2\/9, -1\/5, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/28*7*13\/130?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003166 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2110?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 1, e: 4}. Give prob of picking 3 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 + 251. Suppose -5*p = -4 - u. Put 2, -19, -4, p in decreasing order.\nAnswer: p, 2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2069*a - 644*a - 708*a - 661*a + 2296 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133989951.\nAnswer: 3, 44663317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 - 2*u + 4. Let a be k(-4). Let g = a + 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2830 + 2833. Let v(x) = x**2 + 4*x - 2. Let k(a) be the first derivative of -2*a**3\/3 - 5*a**2\/2 + 3*a + 1. Calculate o*k(p) + 4*v(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d - 6550 = 0. Round d to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -28*h. Suppose -8*i + 4*i + 12 = 0, -k = 4*i + 2. Let g(l) = -9*l. What is k*g(f) + 5*q(f)?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77708809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 334. Let j = z + -258.9873. Round j to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 1 = 5*u + 2*h, 3*h + 18 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**3\/3 - 3*z**2 - 2*z. Let s be k(5). Solve 0 = -0*a + s*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6961.32434 to 1 decimal place.\nAnswer: -6961.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1376, 5515, 12414, 22073, 34492?\n\"Answer: 1380*l**2 - l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 - 35*f**3 + 150*f**2 = 0.\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4844*y - 2425*y - y**2 - 386*y**3 - 2422*y to d*y + v*y**3 + t + z*y**2 and give v.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34556 and 978?\nAnswer: 103668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 5. Let i(q) = -1. Determine 21*i(d) - 3*t(d).\nAnswer: -9*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4447415 - -5?\nAnswer: -4447410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13734 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28210324 from -153797.31.\nAnswer: -28364121.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 510264407 to the power of 1\/3, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l. Let i be j(-4). Suppose -5*f + f - i = 0. What is the third biggest value in f, 1\/2, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9156 is divided by 380.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 279311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 236*l - 2830. Let b be u(12). Solve b*z = -2*x + 6, -6 = -2*x - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-40) + (-18)\/(-5). Suppose -j = -6*j + t*c + 343, -4*c + 327 = 5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(300)))**2*-2.\nAnswer: -602 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*(-135)\/81.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -29, 4, -1, -39265 in descending order.\nAnswer: 7, 4, 3, -1, -29, -39265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -17*4\/(-12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - -3*1*sqrt(931) - sqrt(931)) + (-1 + sqrt(931) + 2)**2.\nAnswer: 35*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*g + 3 + (1 + 0 - 2)*(3*g - 3*g - g) - 3*g + 5*g - g - 4*g + 5*g - 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -7*z**5\/20 - 98*z**2 + 17*z. Let v(i) = 26*i**2 + 9. What is t(v(d))?\nAnswer: -14196*d**4 - 9828*d**2 - 1701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3\/5, -5, 1\/10, -32?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165.4 + 147. Let h = v - -20. Let o = h - 1.5. Which is the nearest to o? (a) -2 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4404 and 95\/24.\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000218100345 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**5 + w**3 - 4*w**2 - w - 1. Let c(p) = -p**5 - p**3 - p**2 + p + 1. Let y(r) = c(r) + u(r). What is the third derivative of y(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879504103 + -3.7?\nAnswer: 4879504099.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/45)\/(-1)*(-504)\/(-210)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.746 * -181\nAnswer: 135.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -29*a - 198. Let c(o) = 28*o + 215. Calculate -5*c(p) - 4*w(p).\nAnswer: -24*p - 283","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/3 + 4*r**3\/3 + 2*r**2\/3 - 4*r\/3.\nAnswer: -2*r*(r - 2)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -607.\nAnswer: -60.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2574, 5, 2, -1\/5 in ascending order.\nAnswer: -2574, -1\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 3:27 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39281 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20*t**2 + t. Give l(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-216)\/15)\/(-8))\/((-8)\/(3640\/(-21)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 60314?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -20, 0*s + 4*k - 45 = -5*s. Suppose -6*z - 20 = -2*l - 3*z, 2*z - 31 = -5*l. What is the lowest common multiple of s and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/26 + (-2)\/(-13). Suppose -z + p = -1. Solve -3*k + 14 = 2*c + z, -4*c - 16 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + -59 + 136 + (-24 - -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -672900 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 - 52*i**2 + 202*i - 166. What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45710334707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13.256761 days?\nAnswer: 1.893823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9713808 and 112.\nAnswer: 67996656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r - 3*t = -8, -2*r + 4 = 3*t. Suppose n + 3*o + 0 + 2 = 0, 0 = r*n + 5*o + 3. Let f be -1 - -4 - (-48)\/(-18). Is f != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*n - 566, 3*o = 6*o - 2*n - 332. Suppose -26*c = -33*c + o. Solve -4*m + c = -4*w, 3*w - 4*m + 10 = -3*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*b + 4*f, 0 = -3*b - 3*f + 1 + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -14*v**3 - v**2 - 2*v - 3. Is x(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**3 - 3*y**2 - y. Let v be (-1)\/(1*(-3)\/15). Suppose -3*h + 10 = -v*h. Let u(x) = -6*x**3 + 2*x**2 + x. Let s(p) = h*j(p) - 6*u(p). Give s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 867151365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 11*x + 13. Let w be y(-10). Suppose -w*u + 613 = 139. List the prime factors of u.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1645 = -194*r + 287 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**4\/24 - 7*i**3\/6 + 34*i**2. What is the remainder when 23 is divided by s(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 + 2*h. Let m be f(-3). Suppose m = 4*g + 4. Let u(z) = 9*z**2 + 1. Let k(b) = -5*b**2 - 2*b**2 + 3*b**2. Give g*u(r) + 5*k(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4.04. Let m = g - -4.96. Which is the nearest to m? (a) -2\/3 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290038, 580081, 870122, 1160161, 1450198, 1740233, 2030266?\nAnswer: 2320297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184381*u**2 + 82118*u + 18 wrt u.\nAnswer: -368762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.6 + 0.6. Let g = -17 + 11. Let w = k - g. Which is smaller: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a*s**3*w - 917*a*s*w + 3*s**3*w - 681*s**2 wrt a?\nAnswer: -5*s**3*w - 917*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 280*l**3 - 154*l**2 + 63*l + 63. Let z(g) = 9*g**3 - 5*g**2 + 2*g + 2. Let r(y) = -2*h(y) + 63*z(y). What is the third derivative of r(k) wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - d = 11, 0 = 3*o - 3*d - 6 - 3. Let c = o + -5. Sort 0, 2, c in decreasing order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149 - -147. Put 4, t, -4 in descending order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 17950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.92 + 17. Let d = 0.26 - m. Which is the second smallest value? (a) 2 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 117*x**4 + 113*x**4 + 3*x**3 - x**2 - 225*x**4 + 2*x to the form m*x**4 + p*x**2 + a*x + w + t*x**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089403?\nAnswer: 7, 19, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 8*y + 4. Let c be j(6). Suppose 5*i - 3*b = c, 4*i + 0*i - 10 = b. What is the common denominator of 58\/5 and 8 - (i + 1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122110202122 (base 3) to base 5.\nAnswer: -211002412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 9, 1, 0 in increasing order.\nAnswer: -4, -3, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/19)\/i)\/((((i*i**(-2))\/i)\/i)\/i))**(-4\/5))**25 assuming i is positive.\nAnswer: i**(-1180\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 k when four letters picked without replacement from {e: 4, o: 2, k: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + i + 4. Let r(m) = -2*m**2 + m + 3. Let x(z) = -5*c(z) + 7*r(z). Let w be x(0). Is -2 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - (2 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 124*p + 15927. Let k(n) = n**2 - 58*n - 7965. Let b(f) = 2*a(f) + 5*k(f). Differentiate b(x) with respect to x.\nAnswer: -2*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 6 + 24 = 0. Suppose 0 = 3*q + 6*w - m*w - 297, 0 = 5*q + 3*w - 497. Calculate the remainder when q is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1 - (-1)\/(2*4\/72).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + d + 45 + 37*d**3 - 23 - 7 + 3*d**2 as s*d + h*d**3 + v + t*d**2 and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 134.9. Let c = 22.717 - 20.6. Let t = v - c. What is t rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -2. Let d(x) = x - 1. Let s be d(-5). Let v(q) = q**2 + 6*q + 2. What is the remainder when c is divided by v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3293*q + 337*q - 974*q**4 + 84*q**2 + 1346*q**4 - q**3 - 79*q**2 wrt q?\nAnswer: 4464*q**2 - 6*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.403 + 2.403. Let r = -7 - -5. What is the nearest to -4\/7 in p, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 980?\nAnswer: -979.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:56 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 6 = -p, -77*j = -81*j - 3*p + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(1872)*-3)**2 + (3*sqrt(1872)*-5 + sqrt(1872))**2 + -4 + -5.\nAnswer: 29943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153164467 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1910429 is divided by 34114?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) 453 (d) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123.97688*2.\nAnswer: 247.95376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95590405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42404825*w**2 - 2204*w + 19922?\nAnswer: 84809650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -32 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.245 + 0.755. Let f = -533873\/20 + 26685. Let q = f - -47\/5. Which is the nearest to n? (a) -1 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 10*d + 1442 = 0. List the prime factors of d.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 32828.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3356*b**3 - 94500*b?\nAnswer: 20136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 857 and 9.0857.\nAnswer: 7786.4449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/2)*j**(-2\/37)\/j*(j*j\/(j**(-2\/5)*j*j))\/(j\/(j\/((j\/(j**(-12)*j*j))\/j))))**(-3\/16))**(23\/2) assuming j is positive.\nAnswer: j**(233703\/11840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + 0)*4 - (-3*sqrt(1188))\/sqrt(11).\nAnswer: -16 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 130\/(-36) + 4\/(-6). Let d = 1193\/180 + j. Calculate the common denominator of (-805)\/(-180) + 4\/(-18) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**4\/12 + 5*x**3\/6 + 5*x**2\/2 + 3*x. Let n be r(5). Solve -5*b = -5*g + n, 0 = g - 0*b - 2*b + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1620 and 340.\nAnswer: 27540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*d - 5*d - 16*d)*(2 + 4 - 2) + 2*d + 2*d - 2*d + (0 - 2 + 0)*(d - d - 2*d) + 2*d - 2 + 2 + 0*d - 3*d + 2*d in the form l*d + c and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 876495 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m**3 + 3*m**2 + 11*m + 25. What is the hundreds digit of d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 times 66.6\nAnswer: -2264.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11195*v**3 + 0 - 11155*v**3 + 0.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 841 and 6061.\nAnswer: 175769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 5)*(-156)\/52. Solve 23*t = 6*t + m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:55 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (142\/6)\/(10\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-88*w + 4 + 90*w - 3)*(3439 + 675*w**3 - 3439) to the form j + q*w**4 + x*w**2 + m*w + s*w**3 and give q.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 2*f + 38 = 0, 3*f = -0*f - 15 + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18 - 40*g**2 - 11*g + 16*g**2 - 7*g. Let v(h) = -7*h**2 - 5*h - 5. Determine -18*v(i) + 5*w(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17841416774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -555795, -1111591, -1667387, -2223183, -2778979, -3334775?\n\"Answer: -555796*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2467, -31 in descending order.\nAnswer: -8, -31, -2467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71936?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-1)\/(-2))\/(15 + ((-11799)\/(-38))\/(-27))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - 33) - (88 - (83 + -4))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 22*u**3 - 4*u**2 + 5*u - 5. Let x(q) = -22*q**3 + 3*q**2 - 4*q + 4. Determine 4*p(a) + 5*x(a).\nAnswer: -22*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23137 is divided by 90?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Suppose -3*v - 3*n = 2*n - 35, 2*v - 2 = 2*n. Let i be c(v). Find the third derivative of 2*k**5 - k**2 + 0*k**5 + 0*k**i wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Suppose 2*h = -i + 5, 0 = -h + 5*i - 20 - 5. Let t be h*(-2)\/4 - a. Let d(w) = w**2 - 4. What is d(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 2. Let j(i) = -237*i. What is j(q(b))?\nAnswer: 237*b + 474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11581278 and 1902?\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**21*x*x**(-6)*(x\/x**14*x)\/(x**(-2\/9)\/x) assuming x is positive.\nAnswer: x**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*i = -253 + 25, -3*a - 5*i - 350 = 0. Let y be ((-4)\/10)\/(23\/a). Let h(b) = 3*b - 9. Let x be h(4). Solve 4*c = x*c - y, 2 = 4*s - 3*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3531 in 0.2, -5, 2426?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 1335324*d + 365130*d.\nAnswer: -970194*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = 113*z + 98 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hga when three letters picked without replacement from {h: 3, g: 7, a: 3}.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -371 + 356 + (-191)\/(-9). Factor -28\/9*m**2 - 68\/3*m - w.\nAnswer: -4*(m + 7)*(7*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*j + 4*k - 3*k, -4*k + 26 = 2*j. Suppose -2*x + 265 = -y - 425, x - 4*y - 345 = 0. Suppose j*i = 72 + x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 3*x**2 - 4. Let o be w(3). Let r = o - -6. Suppose 5*j - r*j = 0. Put -5, -3, j in increasing order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -7\/4 (c) -1 (d) -1\/5 (e) -5 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(5)*-3*-6 - (-2*sqrt(21)\/sqrt(3) - ((sqrt(7) + 0 - sqrt(7)) + -1))**2.\nAnswer: -29 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -30. Suppose 6*z - 7*z = -35. Calculate the greatest common divisor of j and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*t = -72, 3*t = -0*t + 6. Let b be 28\/d - 2\/(-8). Find the second derivative of 8*y**5 - 4*y**5 - b*y - 4*y wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2 (b) 2 (c) -14 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191796 is divided by 389?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1566 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 19 + 31 = 0, 0 = 3*g + o - 36. Let z(x) = -55*x + 552. Determine z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l + 13*l + (l - 3 + 3)*(2 - 1 - 2))*(9 - 11 - 3).\nAnswer: -70*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2 + ((-4752)\/200)\/22)*-5. Let m be (-6)\/(-40) + (-2)\/(-8). Let 1\/5*j - 1\/5*j**5 + 0*j**3 + 0 - x*j**2 + m*j**4 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppegppnep. Give prob of sequence ee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13711847916 from -0.0483.\nAnswer: -13711847916.0483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -97087 divided by -97087\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1670625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143115 - -12?\nAnswer: -143103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:56 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 199712 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 13 + 30 + 30 = 2*u, 9*u + 3*v = 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 46. Suppose 3*r = -i + m, 8*i - 3*i = -2*r + 11. Suppose -58 = -2*q - r. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1224230113 (base 5) to base 6\nAnswer: -143245351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0497 + -0.04977122. Round c to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*m = -186*m. Suppose 3*b - 13 = -3*k + 2*k, -b - 5*k - 5 = 0. Suppose b*o + 20 = m, 28 = y + 5*o - o. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 2*k + 55. Determine m(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3381 + -3376. What is the fourth smallest value in 8, 0.8, 3, v?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 846*o - 5148.\nAnswer: 2*(o - 6)*(o + 429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158562735 to the nearest integer?\nAnswer: 12592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:50 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4 + 117720205*h**3*k**2 + 34*h**2*k**2 - 25213*h**2 - 2*h*k - 2 wrt h.\nAnswer: 24*h + 706321230*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 18*k**2 + 18*k + 14. Let d be b(-17). Which is bigger: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - (0 - 1)*3)\/2. Does 7 divide ((-16)\/24)\/(a + 249\/252)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/4845 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 336390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-39) + 154\/231?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 4749\nAnswer: -169\/4749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + -2 + -2 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 2*g**2 - 4*g - 4. Let n(z) = z**3 - 14*z**2 - 16*z + 22. Let c be n(15). Suppose 0 = 2*v + c*k - 2*k - 23, -3*v = -2*k - 6. What is s(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*r + 21 + 78*r + 6)*(-34*r**4 - 37*r**4 + 144*r**4).\nAnswer: 73*r**5 + 1971*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.6283685*3\nAnswer: 1.8851055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let t(y) be the first derivative of 0*y**2 + 49 + 0*y + 5\/3*y**3. Determine i(t(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3825*z + 14800 = -4750*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 10968.\nAnswer: 54840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*f**3*i*y - 205*f**3*i - 27*f**3*k - f**3*y - 815*f**2*i*k + 2*f**2*y - 11*f*y + 3*k*y wrt k.\nAnswer: -27*f**3 - 815*f**2*i + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**5 - 8*i**4 + 6*i**3 - 82*i**2 - 47*i + 52. Let k(d) = d**4 - d**3 + d. Let p(f) = -8*k(f) - m(f). What is the second derivative of p(b) wrt b?\nAnswer: -40*b**3 + 12*b + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(8\/(-38))*(-8944)\/(-3268).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:06 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 15. Let u be n(0). Suppose -5*j + 15 = -u. Is (92\/j)\/(8\/132) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -9\/490*y**7 - 6\/7*y**4 - 8\/7*y**3 - 4\/35*y**6 - 15*y**2 + 0*y + 0 - 1\/784*y**8 - 2\/5*y**5. Factor a(d).\nAnswer: -3*(d + 1)*(d + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/5 + 16*l\/5 - 14\/5 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - 38\/(-4). Suppose -q*o - 14 = -4*o - g, 0 = -4*o - 4*g + 8. Suppose 4*i + 1 = 13. Sort i, o, -1 in decreasing order.\nAnswer: i, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50706 and 61348?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*i - 3)*(0 - 2 + 0) - 17 + 17 + 18*i.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - s - 1. Let q(x) = 13*x**2 - 9*x - 8. Let m(h) = -4*q(h) + 28*v(h). Determine i so that m(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(11)*-6*1*2 + (sqrt(11) - (-2 + sqrt(33)\/sqrt(3)) - (-2*sqrt(11)*-2 - sqrt(11)) - ((sqrt(88)\/sqrt(2))**2 + (sqrt(44)\/sqrt(2))\/sqrt(2))).\nAnswer: -42 + 68*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037914864 rounded to 4 decimal places?\nAnswer: -0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v = -60*v + 15. Suppose c - 2*k + 0 + 3 = 0, -c - v*k + 12 = 0. Let o(y) = 5*y - 2. Calculate o(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let l(n) = 15*n + 3. Give p(l(g)).\nAnswer: -30*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_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: Solve -2*u - 4*g - 38 = 0, -30*u - 5*g = -27*u + 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 4}. Give prob of sequence rur.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49779 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -22. Suppose -147 = -m*w + 5. Suppose -s - 85 = -2*y, s = 2*y + 3*s - w. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000158668 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148 and 626?\nAnswer: 46324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*((((sqrt(15)*1*-2 + sqrt(15) - sqrt(15)) + sqrt(15))\/(-1*sqrt(180)))**2 + -4).\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*s - 10 - 250*s - 836*s + 55*s.\nAnswer: -929*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51918 and 258063?\nAnswer: 8774142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 1 + 0 - 1. Let g(x) = 2*x + 2. Let v be g(-2). Does 3 divide m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {v: 7, m: 2, j: 7, g: 3}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Let r = 18 + -18.2. Which is the nearest to r? (a) 2\/3 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 22 = -112. Let f = u - -50. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 25*y**2 + 14*y - 17. Let j be r(12). Sort -30, j, -1 in decreasing order.\nAnswer: j, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*h + 115 = 0, 3*g + 63 + 16 = -5*h. Let f(j) = 5*j**2 + 3*j - 23. Is f(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 8. Give i(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -229d - -2759?\nAnswer: 49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 39*v + 158. Let f(i) = -i**3 + 28*i**2 - 2*i + 94. Let r be f(28). Let b be c(r). Calculate the greatest common factor of 42 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 0 + 0 - 1. Let c be 10\/(-15) - (-2 - 16\/6). Let k(a) = -6 - 50*a - 173*a - 173*a + 388*a. What is c*i(x) - k(x)?\nAnswer: 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*y + 7 - 7)*(0*y + y + 0*y) + 208*y**2 + 228*y**2 - 507*y**2)*(-4*y - y + 3*y)*(2 + 25 - 8).\nAnswer: 2508*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 512 - 1305?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, c: 2}. What is prob of sequence cw?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-10)\/(-75) + ((-450448)\/(-14100))\/((-2)\/(-5))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*p + 14*p + 5*p + 18*p - 16*p.\nAnswer: 70*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -20. Let j(m) = -m**2 - 7*m + 4. Let y be j(c). Solve 4*u - 13 = 3, -y*w + 3*u = 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10249 by -37.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2 + 4*w + 12. Let a(r) = -14*r**2 + 7*r + 24. Let j(l) = 4*a(l) - 7*m(l). What is the first derivative of j(p) wrt p?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 26b6?\nAnswer: 26c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 4704564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23752 or -27382?\nAnswer: -27382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/344, 6407, -0.4, -3, -1\/5, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -506 (b) 2\/9 (c) -0.235 (d) 0.5 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -2\/105*z**5 + 7\/2*z**2 + 1\/84*z**4 + 0 - z + 0*z**3. Let d(v) be the first derivative of k(v). Let d(u) = 0. Calculate u.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 36741*x + 4 - 36744*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1741*s**3 - 2854*s**3 + 444*s**3.\nAnswer: -4151*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppooppppvpvp. Give prob of picking 2 v and 1 p.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 64 = -2*h, 2*h = 3*h - 4. Suppose 0 = 2*y + 3 - 7. Suppose -y*n + i = n. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55494.72 months in decades?\nAnswer: 462.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/7)*y*y\/(y\/y**(-4\/3))*y*(y*(y*(y\/(y\/(y*(y*y**(2\/7))\/y*y)*y))\/y)\/y)\/(y**6*y*y) assuming y is positive.\nAnswer: y**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 h when three letters picked without replacement from vvhhuvuush?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 12.11733.\nAnswer: 9.11733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1946 - -2807. Suppose -5*m + g = -1149. Suppose -3*a + 2*u = -m, -4*a + 2*a + u = -269. Calculate the highest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5341577?\nAnswer: 5341577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 300500 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**3*r**5 - 5*q**3*r**2 - 2613*q**3*r - 20651*r**5 wrt r?\nAnswer: 120*q**3*r**2 - 1239060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 + 831392*i**2 - 415691*i**2 - 415701*i**2 - 7*i**3.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -214301, -428607, -642917, -857231, -1071549, -1285871?\n\"Answer: -2*x**2 - 214300*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l + 12. Let a = l + 6. Suppose -5*j - 22 = -3*s - 129, 3*j - 45 = -a*s. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 2)\/((-1)\/(-3)). Suppose 0 = 2*i - 4*z + 20, y*z - 27 = -i - 12. Suppose i = 3*o - 12 - 27. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42\/(0 - -1) + (-26 - -32) and 5?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*l + 154*l = -45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4906710 to the nearest ten thousand.\nAnswer: 4910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -5 + 33 + -35?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -42*r**3 - 7*r**2 + 14*r + 13. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 5*l + 8. Let w be t(-3). Solve 0 = 2*r - 10, 4*r - 25 = w*g + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*(-3)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/5)*r**(-7)*(r**(13\/4)\/r)\/((r\/r**(-5))\/r) assuming r is positive.\nAnswer: r**(-187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (96\/20)\/((-6)\/(-15)). Let d be -6*(-8)\/a + 5. Suppose -28 = -10*z + d*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3 + 13259*k**2 + 818018 with respect to k.\nAnswer: -9*k**2 + 26518*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99715193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.2 + -0.2. Let h = 39016 - 39016. Let z = -1.02 - -0.02. Which is the nearest to h? (a) f (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by -4.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y + 120 = 0. Let u = y + 32. Suppose 3*i = -7*s + 2*s + 281, -u*i + 224 = 4*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596052.\nAnswer: 2, 3, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 37*a**2 - 29*a - 35. Let p be w(-13). Let u(y) = -7*y**2 + 8*y + 1. Let j = -8 + 13. Let o(v) = 6*v**2 - 7*v - 1. Determine j*o(g) + p*u(g).\nAnswer: 2*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -605*d - 162. Is 67 a factor of k(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(-3 + (-40)\/(-15)). Let f(r) = 9 - 5 + 2 - 7*r**h - 7 - r**3. Determine f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/11 (c) 0.2 (d) -0.4 (e) -469 (f) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20209833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = 5*d - 20, -5*s = -5. Put d, -4, -23 in ascending order.\nAnswer: -23, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-24)\/(-171)))\/((-78)\/1976*-19).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4699175*l**5 + l**2 - 4411884*l - 2.\nAnswer: 93983500*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (39*(-12)\/42 - -9) + (0 - -2). Let f be ((-2)\/(-4))\/((-15)\/(-25)). What is the nearest to 2 in 2\/11, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 - f - 1. Let m(n) = 9*n + 20. Let c be m(-2). Let y(s) = -5*s**2 - 2*s - 1. Suppose 0 = -4*a - 2 - 10. What is a*i(v) + c*y(v)?\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206164 is divided by 68647.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 + 11 = 0. Suppose 0 = 5*r - 51 - f. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 0 - t - 395.\nAnswer: t - 395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200598 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-3328)*39*(-16)\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q - 2*q**5 + (1125*q**2 + 1221*q**2 + 1067*q**2 - 516*q**2 - 513*q**2)*(0*q + 0*q - 2*q**3).\nAnswer: -4770*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 546\/65 - (-22)\/70. Is x equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let w(f) = 184*f + 5050. Give u(w(r)).\nAnswer: -368*r - 10100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30597 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*d**4 - 1176*d**2.\nAnswer: 5112*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-55)*105\/(-126).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4438737 divided by -1479579\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttszqw. What is prob of picking 1 q and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1010000011?\nAnswer: 1010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.136 + 0.336. Which is the nearest to h? (a) 4\/11 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4 + 4. What is the third derivative of d*o + 4*o**6 - 2*o + 2*o**2 wrt o?\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/371 + -21141\/742. Calculate the common denominator of x and (-2)\/(-9) - (-1857)\/270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let z(t) = -25 - 19 - 2667*t**2 + 749*t**2 + 44. What is z(o(q))?\nAnswer: -1918*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 142.8431 litres?\nAnswer: 142843.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1625*l - 19489. Calculate o(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3531 + 83*a**2 - 1679 + 6*a - 1673. Let z(q) = -166*q**2 - 13*q - 359. Let r(w) = 13*p(w) + 6*z(w). Differentiate r(g) wrt g.\nAnswer: 166*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/642 and 47\/247900703.\nAnswer: 1487404218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2 + 2 + 1). Suppose -6*d - 5*r + 45 = -2*d, -28 = -3*d + b*r. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 45*n**2 - 1208*n + 9692. Give k(8).\nAnswer: 2908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 685 - 622. Solve m = 5*l + 43 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27660515.94 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + j - 916 + 868 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - (-26)\/6. Let s(c) = c - 8. Let q = 6 + -2. Let o be s(q). What is the second biggest value in 2\/3, o, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80335398 and 113388.\nAnswer: 160670796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 11.6. Let d = 0.6 - c. Do d and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 9. Let b be n(-4). Let f = -0.03 + 0.53. Let g = 0.3 - f. Put b, g, -3 in decreasing order.\nAnswer: g, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3980, 1, -38, 4.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -151*u**2 - 5*u + 142*u**2 + 5*u. Let t(w) be the first derivative of 0*w - 2 + 1\/2*w**2. Calculate s(t(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 757*c**3 - 756*c**3 - 2*c to p*c + z*c**3 + f*c**2 + y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2691, -2729, -2773, -2823, -2879, -2941, -3009?\n\"Answer: -3*z**2 - 29*z - 2659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1316591364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(15 + 1) + -3 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.055623l?\nAnswer: 3055.623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 80.9. Let i be (5\/((-5)\/12))\/(-1). Let p be 7\/i + (-10)\/40. Which is the closest to -0.3? (a) 4 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {c: 6, w: 4, f: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3297, 3281, 3263, 3243, 3221, 3197, 3171?\nAnswer: 3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -3*x**2\/2 - 1. What is the remainder when 10 is divided by p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57965 <= -58325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 12}. What is prob of sequence pgpg?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2587 - -1254. Let o = d + 1335. Let x = 0 + 0.1. What is the closest to 1\/5 in x, -4, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57082369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*w - 10, 5*w + 4*d - 13 - 4 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -31. Suppose i - 91 = -4*t - 12, l*i + 130 = 5*t. Solve -4 = 5*x + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-8))\/(467\/(-7472)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/(-567))\/(-2 + 12\/18) and 13\/10.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 127*z + 54*z - 3337215. List the prime factors of z.\nAnswer: 3, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -30*q - 51. Suppose 0 = -4*j - i - 4, -i + 2*i = j + 6. Let t(d) = d + 48. Calculate the lowest common multiple of v(j) and t(0).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2012, -2025, -2038, -2051, -2064, -2077?\n\"Answer: -13*k - 1999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = 4. Let i(t) = -2*t - 6. Let v be i(-5). Suppose 4*y + p = -1, -y = -0*y - v*p + 13. Are a and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 10*j - 21. Sort 4, j, -5, -3.\nAnswer: -5, -3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15666 + 15414 = -9*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(132)*-1 + sqrt(132) - sqrt(132) - sqrt(132)) - sqrt(132) - sqrt(132))*-4)\/((-2*sqrt(108) - sqrt(108) - sqrt(108))\/sqrt(9)*-2).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -181, -268, -355?\n\"Answer: -87*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let g(h) = -222*h + 1. What is g(l(u))?\nAnswer: 222*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*f = 4*f + 60, -5*i - 171 = 3*f. Let m = 53 - i. What is the common denominator of 71\/6 and (-18)\/(-144)*m\/(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.82 + -29. Let f = 14.58 + b. Round f to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31672.\nAnswer: 2, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h. Suppose 4*f + u = 19 + 25, -44 = -4*f - 2*u. Let v be f\/3 + 2\/6. Let y(r) = -r**2 + 3*r**2 - v*r**2. Calculate j(y(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 2}. Give prob of sequence fsfs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-441)\/(-147)*(60\/2)\/(-5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s + 1 - 1)*(1 + 2 - 1 + 0 - 1 + 2 + 1 + 0 + 0 - 2 + 6 - 2 + (-2 + 1 + 0)*(-3 + 1 + 0) + 2 + 2 - 5 - 2 + 1 - 1)*(-3 + 3 - 1).\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 2*u + 21. Suppose -40 = 109*q - 117*q. Calculate f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1663 times 0.559?\nAnswer: 0.0929617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3596.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*j - 14637 = 2226 for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 11*m - 14*m. Let u = 1.5 + -0.5. What is the closest to u in 0.1, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.8994 rounded to the nearest integer?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.12 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 12 + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5972560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.02.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*i - 68*i - 39*i + 334*i.\nAnswer: 446*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let l(u) = 521*u - 521*u - 27 - 429*u**2. Let j(y) = 33*y**2 + 2. Let q(z) = 27*j(z) + 2*l(z). Give x(q(k)).\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*f - 3*n, -2 = -5*f - n - 0*n. Suppose f = 2*t - g - 13, -28 = -5*t - 5*g - 3. Solve 4*a + 28 = 5*r, 0 = r + r + a - t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h**2 + 64*h - 14. Determine o(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2\/15 (b) 190 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 9\/8, 6, 0.2, -0.4, 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 61284 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i**5 + 11392*i**4 + 76932*i**3 - 432728*i**2 + 589152*i - 244736 = 0 for i.\nAnswer: -32\/3, 1, 2, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7*m + 11 = -2*m, 0 = q - 2*m + 2. Suppose 4*b - i = 4 + 360, -q*b + 5*i = -380. Suppose 0*w + n + b = 5*w, 2*w - 23 = 3*n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14361*i**3 + 12 - 12 - i - 5*i**2 - 14345*i**3 + 2*i**4 - 6 to y*i + a*i**2 + t*i**3 + f + m*i**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 u when four letters picked without replacement from {u: 7, h: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 1\/10 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 8:57 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 104 = -5*p, -5*b + p + 420 = 6*p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 21*t - 161. Let g be j(15). Calculate the greatest common factor of 33 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352.341 - -349.8. Let h = -0.2067 + -0.0443. Let g = h - c. What is g rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4982 is divided by 237.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -332015\/231 or -1438?\nAnswer: -1438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 1. Is 12 a factor of p(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - 248\/(-36)*1 and (-4)\/66*(-399)\/14.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - 52\/(-14). Let o be (-228)\/8*w\/2. Let b = o - -87. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -17021.1?\nAnswer: -119147.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - 5) - 18 - -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let k(z) = 234*z**2 + 4*z - 2. Determine h(k(y)).\nAnswer: 468*y**2 + 8*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyee when four letters picked without replacement from {y: 1, g: 1, e: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -332.0715 - -0.0715. Let s = 331.99315 + b. What is s rounded to four decimal places?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233623*v**4*w + 3*v**3*w - v**2*w + 2*v**2 - v*w - 1338*v - 6*w wrt v.\nAnswer: 5606952*v*w + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1342*p - 5. Is u(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1052\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, m: 4}. What is prob of picking 3 m and 1 u?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 95 = -5*s, 26781*s - 129 = 26777*s - 5*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 165*x + 156. Let i be d(-1). Put i, 73, -2 in decreasing order.\nAnswer: 73, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 1087150.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, 1 q, and 1 p when four letters picked without replacement from {q: 1, p: 4, n: 7, r: 8}.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -486*h + 430*h - 195 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keihhquu. What is prob of picking 1 k, 2 u, and 1 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6. Let 38 - p**3 - 3*p - 4*p + 5*p**2 + f*p - 35 = 0. Calculate p.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -678 and -64.15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 41.6. Let f = -2 - 3. Sort u, 1\/2, f.\nAnswer: f, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + -13.7. Let q = -11 - v. Let w = -17\/11 - -15\/11. Which is the closest to 1\/4? (a) w (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-6)\/9)\/((-5)\/(-30)). Solve 0 = z*c + 8 + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 4) + (-8568)\/8560. Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -512, -1705, -4030, -7865, -13588, -21577?\nAnswer: -32210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5901606?\nAnswer: 2, 3, 293, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 505 = -5*v, 41 = 4*u - 3*v - 342. Let z be 914\/34 + ((-630)\/(-153) - 4). Let o be z\/7 - (-14)\/u. Solve -4*t = o + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k - 3*k)*(-3*k**4 - 1 + 4*k - 6*k + 2*k**4 + 3*k**3).\nAnswer: -k**5 + 3*k**4 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 277.7583 millilitres?\nAnswer: 0.2777583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3 + 11. Let s = -4 - l. Let f = -54 + 58. What is the nearest to s in 2\/17, f, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 13761?\nAnswer: 1376a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*m + 68*m - 4*d + 14, -19 = m - 8*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/840 + o**6\/72 - o**5\/60 - 7*o**4\/24 - o**3 + 6*o**2. Let t(a) be the first derivative of i(a). Calculate t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 - 6*z + 6. Suppose 72 = -0*t + 12*t. Let u(s) = -7*s**2 - 5*s + 5. Determine t*u(n) - 5*w(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223.16 - -217. Let q = -5.5 - g. Let y = -0.76 + q. Which is the third smallest value? (a) y (b) 4 (c) -0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35768, -71532, -107290, -143042, -178788, -214528?\nAnswer: -250262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 54, 75?\n\"Answer: 21*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10*(63\/(-2))\/(-9)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*r + 60 - 25*r - 18 to i + z*r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10631*n**2 - 5317*n**2 - 216 - 2*n**4 - 5316*n**2 to the form x*n**4 + g*n**3 + v*n + w*n**2 + d and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 bigger than -132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.409 + -59?\nAnswer: -59.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 12. Let g be m(-3). Let b(f) = 2*f**2 + 3*f + 1. Let p be b(-2). What is the first derivative of 151*t**p - 4*t**4 + 7 - 151*t**g wrt t?\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, 121, -21313, -3 in decreasing order.\nAnswer: 121, 4, 1, -3, -4, -21313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 4, -2.4, 1\/433?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 19 + (-8 - ((3 + -11 - 3) + 6))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250062166.\nAnswer: 2, 191, 654613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 3. Suppose 0 = -15*x - 1383 + 213. List the prime factors of ((-24)\/u)\/((-4)\/x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2601 at most -2587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-65 - -15) + 29 + (-18 - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6628890 divided by 662889\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32283464, 32283470, 32283476, 32283482, 32283488, 32283494?\n\"Answer: 6*z + 32283458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 12 = -0*p + 3*p, 4*p - 29 = -3*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -74\/5. Suppose -2\/5*z + s*z**3 - 4\/5 - 2\/5*z**5 - 4\/5*z**4 + 8\/5*z**2 = 0. What is z?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 17*m + 10. Suppose 0 = -7*h + 19 - 5. Solve -a + m = -h*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ssssiwi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5965?\nAnswer: 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -22, -4, 5 in decreasing order.\nAnswer: 5, -1, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a + 3. Let i be (-2 + 4)\/(-6)*-6. Suppose 3*v = 4*c - 27, -c - 1 = -i*c - 5*v. List the prime factors of b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/40*4\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 687*g = -689*g + 6, 5*i - 9 = -g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183*n**2*o*t + 2*n**2*o - n**2*t - 4*n**2 + 2*n + 54*o + 7*t wrt n.\nAnswer: 366*o*t + 4*o - 2*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-11 + 4 - 12)*(0 - 1 + 0) + 44 + 23 - 26)*(-2 + 3 + 0)*(2*p**2 + 0*p**2 - 4*p**2) to the form d*p**2 + c + b*p and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.0174 grams in milligrams?\nAnswer: 85017.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + s - 736 = 0, 0 = 2*s + 6 + 4. Let r be 1100\/(-5) - 0\/2. Let v = r + n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-85)\/(-2) - (-1)\/(-2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 <= -0.04546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, -635, 44, 13 in increasing order.\nAnswer: -635, -3, 11, 13, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + 7 + -1 - 19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 1 + 101*h - 101*h)*(-5 + 5 + h**2).\nAnswer: -5*h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13358514.\nAnswer: 2, 3, 13, 171263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160830261 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/45))**(-4\/11) assuming i is positive.\nAnswer: i**(-8\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from jmrepfrerpp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2788*r - 100367. Determine w(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -4 + (-1 - -4). Let s be (-5)\/((-15)\/18) + h. What is the greatest common divisor of s and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 3*w**2 - 2*w + 1. Let a be k(-3). Suppose a = 5*q - 43. Let m = -3 - -7. Calculate the smallest common multiple of q and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*6 + sqrt(385)\/(sqrt(77)\/sqrt(11)))\/((2*sqrt(5)*-2 - (sqrt(35)\/(sqrt(14)\/sqrt(2)) - sqrt(5)))*-3).\nAnswer: 13*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48.2 - -49. Let m = 0.5 - v. Which is the closest to 1\/2? (a) m (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-87 + (0 - -19))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4190.66 centuries?\nAnswer: 419066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 304 = 7*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1211 + 431 = 0. Suppose 5*t = t - j. Let k = 137 + t. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11173 + 246?\nAnswer: 11419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, 16, 12, -12, -50, -96, -144?\n\"Answer: l**3 - 19*l**2 + 72*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 811.\nAnswer: -3\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 43281877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**2 - 10*u - 3. Let s(k) = 9*k**2 + 7*k + 2. Let y(o) = -5*q(o) - 7*s(o). What is y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrrfrcrfrfffcffrf. Give prob of sequence cr.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -2*y - 136, 4*g - y - 14 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11523 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 3155 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2605 is divided by 542.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -13 - -5 - (5 + 2) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3007\/5 - 601. Factor 2\/15*q**3 - c*q**4 + 0 + 0*q + 0*q**2.\nAnswer: -2*q**3*(3*q - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9243 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 o when three letters picked without replacement from icicocoioi?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 59778 = 59760 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0 + 1\/72*h**4 + 1\/45*h**5 + 0*h - 1\/9*h**3 - 1\/120*h**6 - 5*h**2. Factor c(w).\nAnswer: -(w - 1)**2*(3*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115075680 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*d**3 + 2*d**2 + 154*d - 488327 with respect to d.\nAnswer: 300*d**2 + 4*d + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 3*s - 8 + 16 to the form z + v*s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5015, -41 in descending order.\nAnswer: 0, -41, -5015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*w = -5 + 3, 0 = -5*y - 3*w - 35. Let p be -1 + 1 - (-3)\/(-1). Sort p, 2\/9, y in increasing order.\nAnswer: y, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039117234 rounded to six dps?\nAnswer: -0.003912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 64. Calculate the remainder when 40 is divided by y(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 9*a + 16. Let k(n) = -2*n - 1. Let y be k(3). Let c be x(y). Solve -c*l + 5*w = -31, -w = -l - 4*l + 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 875?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((-1)\/3). Let a = 2 + d. Suppose -3*o - 1 - 2 = a. Are -1 and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430 - -44?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 53529284*i\/9 + 358173030694082\/9.\nAnswer: 2*(i + 13382321)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*u**4 + 46*u**3 + 10142*u**2 + 749872306*u wrt u?\nAnswer: -888*u**2 + 276*u + 20284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*h + 80*h + 325 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*w - 82*w - w**2 + 6*w**3 + 3 - 4*w**3 + 152*w to the form h*w**3 + a + v*w + u*w**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.422 * 0.4.\nAnswer: -0.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-5 + 0\/(-1)). Find o such that -o**3 - 2*o**5 + 0*o**q + o**4 - 4*o**4 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.4 + -17.5. Let t(q) = -2*q - 4. Let r be t(-3). Which is the nearest to u? (a) -5 (b) r (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*z + 5*z. Suppose z = -i + 5*u + 12 + 8, 5*i - 44 = -3*u. Solve 0 = -3*f + 3*s, -2*f + f + 3*s + i = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12142201189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27125 divided by -125?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-18)*(-1)\/(40\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 14 + 16 = 0. Suppose -q*n + 64 = -2*n. What is the units digit of 258\/4 + n\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5433 - 5.5433. What is the biggest value in -6, 22.7, d?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3341 - 0.4341. Put -7, -3, -0.2, 0, g in descending order.\nAnswer: 0, g, -0.2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/4 - 3504937*b**4\/2 - 77108711*b**3\/4 - 42059319*b**2 + 63088965*b = 0.\nAnswer: -6, 0, 1, 7009885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*g - 327 + 327)*(-g + 4*g - 4*g) to the form t*g + q*g**2 + h and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4586696 and -65\/82?\nAnswer: 188054536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4 + 934*m**3 + 45312*m**2 - 91389430*m + 998543183 = 0. Calculate m.\nAnswer: -599, 11, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611536070 to the power of 1\/2, to the nearest integer?\nAnswer: 40144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/20 - 6*g**4 + 135*g**3\/2 - 2340*g**2. Solve c(f) = 0 for f.\nAnswer: 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*m + f + 9, -4*f = 4*m - 88. What is the remainder when 33 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/996*(-3378)\/2815\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*a - 948*a + 325*a + 3551 = -351*a for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 3, 7, 13, 21, 31?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/74 and -103\/13688.\nAnswer: 506456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10 + -2)*(-220)\/8. Let o = 1 - -1. Calculate the smallest common multiple of o + -3 + 1 + u and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 70. Let u be (-1827)\/84 + (-1)\/4. Let z be k(u). Let b = z + -46. Solve b*l - 4*s = -24, -5*l + 2*s = 3*s + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -y + 25. Is y a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 32 = -38. Let b(g) be the third derivative of -1\/24*g**4 + 2*g**c + 0 + 0*g + 0*g**3. Let v(d) = -6*d. Give v(b(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217060.\nAnswer: 2, 5, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7629 + -4450. Suppose -4*f = -5*j - i, -3*f - 2*f + 3977 = -3*j. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Suppose -p*x + v = -1 - 5, x - 4 = 3*v. Let s be (-4)\/14 - (-90)\/21. Which is the closest to -0.1? (a) s (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 2. Let i be r(6). Let j(b) = -b**2 - 8*b - 4. Calculate j(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**13\/((d\/(((d*d**(-2\/7)*d)\/d)\/d))\/(d*d**(1\/6))))\/((d**(-5)*d**(-7)\/d)\/(d*d**(-1))**42) assuming d is positive.\nAnswer: d**(541\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 + 40 - 5*p**2)*(22 - 22 + 162*p) - 3*p**3 - p**3 - p**3 as l*p**2 + g + i*p**3 + q*p and give i.\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10017)\/(-42))\/53*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 u when four letters picked without replacement from {u: 3, a: 1, e: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.3 + -24. Let d = 0.3 + j. Let s = d - 9.1. Round s to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/(-65) + (-341503)\/(-5). What is v rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9320 + 9320 + 361*l + 456*l to m + p*l and give p.\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 399.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-48)*((-3)\/(243\/(-144)))\/34.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16853350, -33706702, -50560054, -67413406?\nAnswer: -84266758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -90 (c) 4 (d) -2 (e) 2\/5131 (f) 5 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22522939 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -13 + 121. Let l be z\/27*(-51)\/(-2). Let d = 3 - l. What is the smallest common multiple of d and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 253228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-24)\/6. Suppose 0*z + 36 = k*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112000 + 20?\nAnswer: 1112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.170088m in millimeters?\nAnswer: 5170.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -244, -393, -580, -817, -1116, -1489, -1948?\nAnswer: -2505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 - 6*k + 1. Let d be 2 - -1 - (0 - -9). Let z(w) = -w**2. Let p(i) = d*z(i) + u(i). Is p(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803703 = -128*o + 1472009. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**26*i)\/(i*i\/(i*(i\/(i*i**(2\/3)\/i*i))\/i*i)) assuming i is positive.\nAnswer: i**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7073361, -7073359, -7073357, -7073355?\n\"Answer: 2*r - 7073363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2357, -2355, -2349, -2339, -2325?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**3 + g**2 + 2*g - 1. Calculate s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/32)\/((-2)\/76). Let h = 26 + -9. Let d = i - h. Let w(g) = 4*g**3 - g - 1. Let m(q) = -9*q**3 + 2*q + 2. Calculate d*m(x) + 5*w(x).\nAnswer: 2*x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -75, -188, -357, -588, -887, -1260, -1713?\nAnswer: -2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147000\/2000*2\/(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Suppose p*r + 3*r = 6. Calculate the highest common divisor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8206 + 8213. What is the fourth biggest value in 23, d, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (-1 + (-64 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - -2.95. Let h = z - 2.9999952. What is h rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m*m\/(m\/m**0)*(m*m*m*m\/m**5)\/(((m**(-1\/5)*m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(208) + -2) + 1 + (4 + -2*sqrt(208) - sqrt(208)).\nAnswer: -23 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - 8428?\nAnswer: -8451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0269*3.789.\nAnswer: 0.1019241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:02 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32644 divided by 8161.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/7 (b) -0.1 (c) 0 (d) -1787\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4266, -4237, -4158, -4005, -3754?\nAnswer: -3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 202091972.\nAnswer: 3\/202091972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1575 and 630?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.012755292 rounded to four decimal places?\nAnswer: 3.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*a + 20, -3*a + 3*c = 4*c - 5. Suppose 59*l = 56*l - 27. Sort l, 2, a.\nAnswer: l, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 47069*l + 141179. Give j(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91593287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*d*j**3 - 15*d - 3*j**3 - 24*j wrt j.\nAnswer: -978*d*j - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6*u = -u, u + 30 = 2*j. Suppose -64 = j*w - 50. Let h be ((-8)\/12)\/((-2)\/(-5)). Which is the nearest to w? (a) -4 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(28)\/sqrt(4)*-1)**2 - ((sqrt(7) - sqrt(448) - sqrt(7))**2 + -3 - (-2 + -3*sqrt(7))).\nAnswer: -272 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1115.41t?\nAnswer: 1115410000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1, 41335, 17, 0.1 in increasing order.\nAnswer: -1, -2\/15, 0.1, 17, 41335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -21, 63, -10.\nAnswer: -21, -10, -4, 2, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 2. Let d be s(7). Let y = -3 + d. Suppose -o = y*m - 21, 4*m + 79 = 3*o + 2*m. Solve 5*p + 2*v + o = 5*v, 20 = -4*p - 2*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 3. Let i = 13 + l. Which is the third biggest value? (a) i (b) -1\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1720 - -8180. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/19)\/((((q\/q**(-18))\/q)\/q)\/q*q))**(2\/41) assuming q is positive.\nAnswer: q**(-642\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 317 + 941 + 190*d - 319 - 306 - 2*d**3 as q + h*d + v*d**2 + b*d**3 and give h.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.071 - -0.571. Suppose 3*i = -2*i - 525. Let a be (-7)\/i*(-5)\/(-4). What is the third biggest value in 5, a, 0.2, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*b**2 - 22*b**4 + 28*b**3 + 4*b**2 + 2*b**4 - 21*b + 5*b.\nAnswer: -4*b*(b - 2)*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/3, 4\/9, 8 in descending order.\nAnswer: 8, 4\/9, -35\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037 = 7*a - 2*n - 1044, 2*a - 2*n - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 43*v**6\/30 + 494*v**3\/3 + 2*v**2 - 559*v. What is the first derivative of n(k) wrt k?\nAnswer: 516*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -2.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1325*k**2 + k + 101. Let p(g) = -24*g - 2. Give n(p(x)).\nAnswer: 763200*x**2 + 127176*x + 5399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4185 and 155?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 44 + 592 = -1220 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4.38 + -0.26\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 21*l + 119. Determine y(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 645368923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - n - 10 + 9 + (1 - 1 + 2*n)*(5 - 3 + 0).\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*z - 21, 2*z + 5*s = 2*s. Let p(g) be the first derivative of -3*g**2\/2 + 3*g - 28. Let q(d) = -3*d + 2. Calculate z*p(b) - 4*q(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 960*x - 18396.\nAnswer: -4*(x - 219)*(x - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-21)*((-438)\/(-60) - 8)*-5. Let q be 1\/(3\/24*-2). Put -12, r, q in increasing order.\nAnswer: -12, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -707577 (base 8) in base 6?\nAnswer: -5000143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75670 and 2944?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20432 - 4?\nAnswer: 20424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1371601.869644 and 54?\nAnswer: 1371547.869644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 9) to base 2.\nAnswer: 10110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7677*s + 8789. Let p(k) = 7674*k - 8829. Let i(u) = 3*b(u) + 4*p(u). Differentiate i(o) wrt o.\nAnswer: 7665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5007 - 2612. What are the prime factors of c?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g + 1. Determine j(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -33*l. Let v(c) = 7*c**2. Let i(d) = 4*d**2. Let f(o) = 10*i(o) - 6*v(o). Give f(j(y)).\nAnswer: -2178*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*0.4.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 + 254981800*g + 8126964791405000 = 0. Calculate g.\nAnswer: -63745450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 765015327*w**2 - 9201*w + 32853.\nAnswer: 1530030654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526714?\nAnswer: 2, 53, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 11*y + 10. Determine x(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -1, -274, 1\/2 in ascending order.\nAnswer: -274, -1, 0.06, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 273923651 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/130*(-20)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7618 = 34*i - 17372. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 4448060*h + 31136665.\nAnswer: -5*(h - 889619)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4784.29 + 4785. Which is the third smallest value? (a) 0.5 (b) g (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 875456.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 3*f + 54, -5*x + 122 = -f. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) -10 (c) 1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/964 - 5311\/8676. What is the common denominator of f and -37\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 4*l**2 - 3*l**2)*(-4*l + 4*l - 2*l)*(-2*l**2 - 3*l**2 + 4*l**2).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43978, -44039, -44104, -44173, -44246?\nAnswer: -44323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 832 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 11*m = -30. Let q(h) = h**2 - 9*h - 13. Let f be q(m). Let i be f\/15 - (-82)\/10. What is the greatest common factor of i and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -1\/90*l**5 - 3*l + 0*l**3 + 13 + 0*l**2 - 4\/27*l**4. Determine q, given that h(q) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 131.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-29)\/319 + 13158\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14503060 + -7983260. Round x to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 142 + -16853?\nAnswer: -16711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 2:48 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2997 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12623057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 + 179.113136764?\nAnswer: 75.113136764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvx when three letters picked without replacement from {a: 1, k: 3, c: 3, b: 3, x: 2, v: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10320 (base 10) to base 6.\nAnswer: -115440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -15*r - 103. Let j be (-102*22\/231 - (-2)\/(-7)) + 3. What is i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1378*a + 1001 - 6513 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6672*v + 6548*v + 24287*v - 6400*v + 1151*v as a + b*v and give b.\nAnswer: 32258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(95)\/sqrt(5))**2 - (-3*(sqrt(19) + (sqrt(19) - (2 + sqrt(19)))))**2) + 3.\nAnswer: -185 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 60 = 4*u + 12, -u = -5*t + 18. Let y = -1039 + 963. Let a = u - y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 105.0015 millilitres?\nAnswer: 0.1050015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-1)\/(5*sqrt(500) - sqrt(500)) + 5.\nAnswer: -3*sqrt(5)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1488)\/(-120) + (-9)\/((-45)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5*t**4 + 8 - 2*t)*(-3*t + 14*t + 32*t + (0 + 1 + 1)*(-5*t + 2*t + 2*t)).\nAnswer: -205*t**5 - 82*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + 19*i + 14. Let y(t) = 3*t**3 - t**2 + 15*t + 13. Let v(k) = -4*u(k) + 5*y(k). Give v(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 2, c: 4, h: 5}. What is prob of picking 1 u and 1 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1093.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - sqrt(1960)*4) + sqrt(40))\/(sqrt(8) + sqrt(72)\/(1*sqrt(9))).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -336 - -375. Calculate the remainder when 235 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*k + 10, 5*p + k + 27 = -19. Let u be ((-4)\/(-35))\/((-4)\/p). Let w = 0.9 - 1.1. Which is the nearest to w? (a) u (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -10*i + 108. Let j(k) = k**3 - k**2 - 3*k + 1. Calculate j(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u = 0, -5*g - 5*u - 15575 = 0. What is g rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*2\/(-6)*14\/(1876\/(-871))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13562448553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 less than 3082839?\nAnswer: 3082962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let w = t - -3. Suppose 0 = -5*u - 3*b + 314, 3*u + 4*b - w = 178. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96305 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003356942 rounded to six decimal places?\nAnswer: -0.003357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*n = 49542704 + 934365 + 62162734. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2))\/t)\/t**(-2)*(t**1)**(2\/63)*((t\/(t*(t\/(t\/(t*t**(-2\/5))))\/t*t)*t)\/t*t)**(2\/107)\/(t\/(t\/((t**0*t)\/t))*t**(5\/3)) assuming t is positive.\nAnswer: t**(-54853\/33705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 24498655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + d. Let x be h(-2). Let t(m) = -7. Let b(g) = -g**2 + 27. Let i be 8 - (-2 - (1 - 5)). Let c(y) = i*b(y) + x*t(y). Differentiate c(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5812\/417 and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3132*n + 3110*n + 274252 = 0. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*r + 3*b - 5*b, 2*r - b = 19. Is ((-36)\/r)\/(111\/(-14060)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2204)\/(-12122)*(-5874)\/(-12)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1316 - 1192 = -3*f - 2268 for f.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15429299, -30858601, -46287903, -61717205?\nAnswer: -77146507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 346*w - 1. Let o be i(1). Suppose -3*v = -o + 117. Suppose -3*c - 5*j = -v, 0*j - 2 = 2*j. Solve 5*l - 25 = 3*g, -5*g + 4*l - c = -7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {k: 1, q: 2, n: 4, o: 10}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let z(r) be the second derivative of 0*r**3 + r**2 + 1\/15*r**6 + 0*r**5 - s*r + 0*r**4 + 0. Differentiate z(q) with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 24. Let m be n(-17). Let q(y) = y**3 - 9*y**2 - 7*y + 5. What is the units digit of q(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 19635*s**2 + 15*s - 30. Let y be t(12). Suppose 4*l + 31840012 = -4*d, 2*l = 4*d - y - 13092398. What is l rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 29 = 3*c. Let v(m) = -8*m - 19. Is 10 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9dc8f (base 16) in base 13?\nAnswer: -198225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/4)\/((-1)\/(-20)). Let h(q) = -3*q**3 - 5*q**2 - q**3 + 5*q - g*q**3 - 8 + 10*q**3. Calculate the remainder when h(6) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.6891.\nAnswer: -4.8237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -4, -3, -2\/7.\nAnswer: -4, -3, -3\/8, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6*n + 0*n + 3*n)*(-4*n**4 + 0*n**4 + 5*n**4 + (-4*n - n**2 + 4*n)*(-1 - n**2 + 1)).\nAnswer: 18*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 16*o**2 + 19*o + 32. Let g be k(-17). List the prime factors of (g - 4 - -514) + (0 - -3).\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202100210 - -1?\nAnswer: -202100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144244, -288487, -432740, -577009, -721300, -865619, -1009972, -1154365?\nAnswer: -1298804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17 = 5*u, 114 - 103 = 5*k + u. Which is the closest to 3\/5? (a) 59 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a factor of 2764032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*m**2 + 18*m - 3333 with respect to m.\nAnswer: -22*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/5 - 1344*b**4\/5 + 203768*b**3\/5 + 1054044*b**2\/5 - 40754*b - 210540 = 0. Calculate b.\nAnswer: -5, -1, 1, 242, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38184 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 101*j = 810 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 284 + -212. Let b be (8\/3)\/(p\/108) - -8. Solve -b*k + 2*k - 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 546913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = -2*p. Let x be ((-3)\/5)\/(135\/(-1125)). Solve -q - p = -x*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -50*o + 7. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 - z. Let d(m) = m - 18. Let h be d(15). Let l(a) = -4*a**3 - 3*a**2 + 6*a. Give h*q(s) + l(s).\nAnswer: -s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*h + 3*h. Let v be 0*(h\/(-4))\/3. Solve v*o = 5*i + o + 5, -5*i = -3*o - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14773.54 years to centuries.\nAnswer: 147.7354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 800830201 at most 800830202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2184.649 meters to micrometers.\nAnswer: 2184649000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/((-10)\/(-440)*22*2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-4) - (-4 - -8). Suppose 4*i - 24 = 3*z, i - 19 = 8*z - 4*z. Put c, z, 3\/8 in increasing order.\nAnswer: z, 3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1135*a**3*r*s**3 - 150*a**3*r - 2*a**3 - 3*a**2*r - a*r*s**3 + a*r + 35*a*s**3 + 17*a + 16*r*s wrt a.\nAnswer: 6810*r*s**3 - 900*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = n - 53, 4*v = n + 3*n - 224. Let y = n - 31. Let q be (-2)\/(-3) - y\/(-12). Solve -2*c + 6*u = 3*u - 4, 21 = 3*c + q*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**7\/1680 + 7*k**6\/720 + k**5\/30 - k**4\/3 + 15*k**3 - 66*k - 2. Let w(g) be the second derivative of l(g). Solve w(f) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258 or 0.1?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(-6)*(-2 - -1). Find the common denominator of -65\/2 and 1 + 1 + (-10)\/m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 3:15 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44477525.\nAnswer: 5, 17, 229, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + -21 + 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1694 and 85\/20419234?\nAnswer: 142934638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 100*b + 63. Let p(a) = -2*a**2 + 67*a - 42. Let f(w) = -7*p(w) - 5*y(w). Is 7 a factor of f(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/108754 and -70\/9.\nAnswer: 978786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26821512?\nAnswer: 2, 3, 17, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 20 + (2 - 0) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92926 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 24 = n. Let v(l) = 5*l**2 - l + 7. Let x(m) = -4*m**2 + m - 6. Give n*v(o) - 7*x(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788 divided by 697?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 156*w**3 + 14*w**2 + 49*w + 14. Let u(h) = -98*h**3 - 9*h**2 - 33*h - 9. Calculate -5*g(l) - 8*u(l).\nAnswer: 4*l**3 + 2*l**2 + 19*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20105 - -5.84.\nAnswer: -20099.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -48.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-12))\/(3\/(-60)). Suppose -4*a - 22 = d. Let f = 13 + a. Is 4 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 73\/3*b - b**2.\nAnswer: -(b + 24)*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -444*l + 1571. Let n be (0 - 0)\/(0 - 1). Put n, -3, l in descending order.\nAnswer: l, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-28))\/(2\/(-21)) + (-688)\/(-112). Suppose -1\/7*q**3 - r*q**4 + 0 + 0*q + 1\/7*q**2 + 1\/7*q**5 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9144.19 plus 4951?\nAnswer: 14095.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - 0.1. Let l be ((-45)\/18)\/((-4)\/(-8)). What is the biggest value in t, 2\/11, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16168803 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3117*p + 5*p**4 - 1571*p - 1585*p - 2*p + 2*p + p**4 + (2*p**2 - 1 + 1)*(-p**2 + 0*p + 0*p) - 6*p**4 + 6*p**4 + 4*p**4.\nAnswer: 8*p**4 - 39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -433 + 3461\/8. Which is the closest to 2\/13? (a) 0.2 (b) z (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 12:19 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18632 = 4*z - 29960, 5*n - 60738 = -4*z. Is 73 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39.941 and -0.8.\nAnswer: 31.9528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-708)\/(-18))\/(1\/6 - 0). Let d = 238 - j. Solve -2 = -2*f + d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -53313\/1540?\nAnswer: -53313\/1540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18*q + 34 - 35 + 33*q - q**3 + 4*q**2 - 17*q. Calculate o(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-8)\/(-7)) + 7\/49. Let y be (-4)\/(-8)*(9 + 1). Factor c*v**3 + 1\/4*v**y + 0*v + 0 + 0*v**2 + 0*v**4.\nAnswer: v**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 - 125. Solve -5*k + 17 = 4*i, -4*k + 3*i = -k + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -0.008 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031120 + -3120?\nAnswer: 1022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.144 - 0.906. What is o rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32069153 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1079\/105 - 71\/7. Let f = -0.102 + 0.402. Which is the closest to f? (a) -0.3 (b) 7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 120 = -3*h, -q + 2*h = -0*h - 31. Suppose 5*p - a = 65, 3*p - q - 2 = a. Calculate the remainder when 142 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -60*x**2 - 72*x - 72. Let k = 672 + -15. Let r = k + -729. Let p(j) = -j**2 - j - 1. Give r*p(n) + w(n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:38 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81464941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -8. Suppose -3*q + 2*m + j = 0, 3*m - 30 = -q - 2*m. Solve -q*a + 2*p + 6 = -a, -p = 4*a - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -679*a**2*q**3 - 14*a*q**3 - 360*a*q + a wrt a.\nAnswer: -1358*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31815 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icc when three letters picked without replacement from {y: 2, o: 4, e: 1, c: 9, i: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 2 = -19*k. Let o be 0 + (k - (-36)\/(-15)). What is the smallest value in -0.3, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 5*p = -36, -422*u + 425*u + 19 = -4*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 9*s + 4. Let l be a(9). Let y be (-5264)\/60 + l\/(-6). Let u = y - -88. Do u and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (2*sqrt(13)*4 - (sqrt(13) + sqrt(13) + sqrt(325) + 2))))**2.\nAnswer: 150*sqrt(13) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 5*o + 7. Give v(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u + 73. Let j(o) = -8*o - 73. Let f(t) = 3*c(t) + 2*j(t). Let s be f(-15). What is the second biggest value in -0.1, 0.2, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 46*w**3 + 422 - 422 + 3*w**3 - w**3 - w**3 + (-w + 2*w**2 + w)*(0 + 0 - w) + 3*w**3 + 0*w**3 - 2*w**3 to v + u*w**3 + k*w**2 + g*w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (806000\/24180)\/(2*(-3)\/27).\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 17*w + 102 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = -21*t - 509 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -147*v**5 - 6237*v**4 + 16683*v**3 - 14607*v**2 + 4848*v - 540 = 0?\nAnswer: -45, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 20*d - 177. Give m(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 34793674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2122982 * -1.9.\nAnswer: -0.40336658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*i + h + 355, 2*h = -5*i + 599. List the prime factors of i.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28960 and 1991.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.026, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*(-8)\/(-84))\/(((-1075)\/70)\/(-43)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035719 a multiple of 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18*9000\/(-1100)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(20\/(-8))\/5. Let k be 7 - 1 - (6 + o). Let w = 5.4 - 0.3. What is the nearest to k in 2\/9, w, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.159 + 31.2549. Let h = 0.171 - -6.729. Let j = g + h. What is j rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94106.12ml?\nAnswer: 94.10612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.03 + 1.73. Let f = p + 11.3. What is the nearest to -6 in 5, -4\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*t = 854*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066608 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 32 = 5*v, -3*v + 3*f = -f. Suppose 5*h = -3*s - 1, 2*s = -s - v*h - 2. Sort -3, 17, s in descending order.\nAnswer: 17, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = j. Let b(l) = -l**3 - 2*l**2 + 2*l - 5. Let u be b(-3). Sort 3, j, u in descending order.\nAnswer: 3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*u + 4)*((3 + 8 - 9)*(-2 + 1 + 3) + 1 - 5 + 2)*(3 - 1 - 3).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 42. Let g be v(11). Solve t = g*t - 4*i - 12, 5*t - 10 = -5*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53225918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 459, 1812, 4059, 7194, 11211, 16104, 21867, 28494?\n\"Answer: -i**3 + 453*i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a + 9. Let n be u(0). Let g = 23 - n. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92457, 92452, 92445, 92436, 92425, 92412?\nAnswer: 92397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11963718034+1.79\nAnswer: 11963718035.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3669*u + 3667*u + 1 = 0, -5*d - 4*u = -11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from cccoooooocoooooooo.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/12 + v**3\/6 + v**2. Let j be s(-3). Suppose 11 - 36 = -5*i. Put j, i, -2 in increasing order.\nAnswer: j, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in -8, -6, -23, 4, 0.2, -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-147)\/(-9))\/(-7)*-9. Find the common denominator of -41\/2 and 15\/(-42) - (-3)\/o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**3 - 6*i + 3. Let x(p) be the third derivative of -7*p**6\/40 - 11*p**4\/24 + 5*p**3\/6 + 41*p**2 + p - 11. Determine 5*t(z) - 3*x(z).\nAnswer: 13*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25701694)\/(3 + 1 + -6 + 1). Suppose 3*c - v = -4401694. Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 86*u\/9 - 164\/9.\nAnswer: -2*(u - 41)*(u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443014 + 2?\nAnswer: 443021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-7)))**(-43) assuming a is positive.\nAnswer: a**(-301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 21*f + 22. Let x(w) = 13*w**2 + 60*w - 66. Let k(u) = -8*h(u) - 3*x(u). Determine k(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*k - 52 = 0, -5*d + 4*k + 156 - 184 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 10*t - 3. Is d(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*o + 601*o - 2016 = -786*o + 2244*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-65)\/(-78))\/(16\/114) and 89\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102050, -102004, -101882, -101648, -101266, -100700?\n\"Answer: 6*u**3 + 2*u**2 - 2*u - 102056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q + 0 + 0 + (-2 - 2 + 2)*(q + q - 3*q - 4*q + 2*q + 4*q + (0 - 3 + 2)*(q + 3*q - 5*q) + q + 0 + 0).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*x - 7 = -1, 2*x = 0. Let k be (6*v\/(-16))\/((-1)\/(-4)). Solve 12*l - k = 11*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 39696402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -811*n**6\/15 + 319*n**2 - 1171*n. Find the first derivative of t(r) wrt r.\nAnswer: -6488*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 8*k**2 + 7*k. Let g be c(7). Let q = g + -2. Is 14 + (q - -3 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - i + 34 = -3*i, -31 = -4*x + i - 2*i + 4*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-2*-2 - (sqrt(405) - sqrt(405)*-2*-6).\nAnswer: 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145846 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**6\/120 + o**5\/60 + o**4\/12 - 5*o**2\/2 - 5. Let p(i) be the second derivative of a(i). Factor p(l).\nAnswer: -l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 215063, 860302, 1935703, 3441266, 5376991?\n\"Answer: 215081*y**2 - 4*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = o - 23, -2*f = 139 - 129. Solve -20*p + o = -27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17146 - -17154. What is the remainder when 1797 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 + 795*x**3 - x**2 - 3511*x wrt x?\nAnswer: 24*x**2 + 4770*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14371 is divided by 77.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 6*c - 6*c + (-3 + 3 + 2)*(9*c**4 + 9*c**4 + 1 - 14*c**4).\nAnswer: 5*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vmjmmvjjmmjvm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1a3 (base 16) to base 11\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 4*y - 4*k, 3*y + 3*k + 193 = -14. Let x = y + 119. Let z(s) = 3*s**2 - 47 + x. Let w(a) = -4*a**2. Determine z(w(n)).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 32 = 5*u, 4*f + f - 4*u - 1 = 0. List the prime factors of (-1)\/f + -2 + 834\/9.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1508 + -1507. Which is greater: l or 19.1?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002326 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = -3*p + 366, -3*p - j = -357. Calculate the greatest common divisor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1869 = -108*x + 5217 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let w(i) be the first derivative of 0*i + 99 + 0*i**2 - 433\/3*i**3. Calculate w(x(k)).\nAnswer: -433*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 11 - 4. Let a(r) = -y + 0 - r - 1. Let k be a(-9). Is k at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and 356.\nAnswer: 11036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18422.489 + -18443. Let j = q - -20.6. Let z = j + -0.08900005. Round z to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -10, 0, 2, 237 in descending order.\nAnswer: 237, 11, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 34*i + 26*i + 33*i - 3431 = 0 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 4)*(-3 - 50). Let l = -49 - k. Calculate the least common multiple of 26 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 5*j**2 - j - 2. Let u(a) = 2*a**3 - 6*a**2 + 1. Suppose 58 = 9*f + 76. Let g(s) = f*u(s) - 3*y(s). What is g(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(938 - 538 + 343)*(-1 + 1 - x**4).\nAnswer: 1486*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 4*a**2 - a + 11. Determine s(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.967 from 776.\nAnswer: 777.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4415 + 4402. Which is the fourth smallest value? (a) s (b) 0.2 (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*r + 6)*(-4*r + 14*r + 155 - r - 8*r).\nAnswer: 5*r**2 + 775*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 3 (c) -0.4 (d) 1.8 (e) -1.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4597, -17429, -38493, -67795, -105341, -151137, -205189, -267503?\nAnswer: -338085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r**2 + 118*r + 12 = 0. Calculate r.\nAnswer: -3, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + -6 - (0 + (5 - -13)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 - 71*k - 54. Let v be r(-13). Calculate the highest common divisor of 114 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64424848?\nAnswer: 2, 557, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6149, -12297, -18445, -24593, -30741?\nAnswer: -36889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3249000 and 5472?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h - 2*q + 622 = 0, -q = h + 154. Let j = -1461 - -967. Let v = h - j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24305253790 to the nearest 1000000.\nAnswer: -24305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 9:46 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.9 (b) 0 (c) -2 (d) -29 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h + 15. Suppose 300*n - 5*l - 20 = 302*n, 0 = 5*n + 3*l + 12. Determine s(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189?\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 + 38*p + 5. Let a be m(-7). Suppose -6*g + a = 30*g. Solve -5*z - 3 = 3*d - 5, g*z - 2*d - 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -221932, -221938, -221944, -221950, -221956, -221962?\n\"Answer: -6*n - 221926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.4. Let o = -4 - -39. Let t = 39 - o. Which is the second smallest value? (a) v (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44*(-1)\/(-6))\/((-540)\/(-810))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.7423 - -0.2577. What is the second smallest value in 0.4, d, 1\/8, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146.15907142 to zero decimal places.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78731501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 548*j. Let u(h) = -2641*h**2 + 1319*h**2 + 1324*h**2. What is u(t(y))?\nAnswer: 600608*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 37 - 37 + 40*p**2 - 37*p**2. Let a(l) = -l. Give a(w(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321044.\nAnswer: 2, 83, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -29*j - 43. Calculate a(-7).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/33, -6, 103, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 26*x - 17. Let v be n(12). Suppose 2*j - v*j + 3219 = 2*p, 0 = p - 2*j - 1587. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n + 12. Let s be o(4). Let a = s - -24. Suppose -4 = -2*t + a. Solve -2*k + 3*k = 4*c - 13, 0 = -t*k + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-31 + 28)*10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 43\/7, 3, -0.4, 0.2, 556, 0 in ascending order.\nAnswer: -4, -0.4, 0, 0.2, 3, 43\/7, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-85))\/((-6)\/15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0922 + 3.0922. Which is the closest to 2? (a) p (b) 12 (c) 3\/8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164 + 3*c**2 + 41*c**3 - 4*c**2 - 36*c**3 - c + 158 as p*c**2 + k*c + m*c**3 + n and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -877, -3509, -7895, -14035, -21929, -31577, -42979?\nAnswer: -56135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*t - 1600 = -284 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2288*t + 2419*t - 94445 = 1301*t + 1495 for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twelve sevenths of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uju when three letters picked without replacement from {j: 2, u: 16}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a971d (base 16) in base 14?\nAnswer: -3350cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v + 50. What is t(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 0.020954.\nAnswer: 1.020954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*n = -6, -4*b - n + 12 = 3*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 6. Let d = 1.1 + -1. Let k = d - 0. What is the third biggest value in -3, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 1368?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g + 5 - 10 + 4 + 1.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 + 1 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 93*g**2 + 97*g - 346. Let y be u(94). Which is smaller: 3\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.3 + -7.2. Let q = k + 16. Which is the second biggest value? (a) 0 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 670, 1041, 1428, 1837, 2274, 2745, 3256?\nAnswer: 3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 8*b - 10*b)*(b - 3*b + 0*b)*(2 + 0*b - 3*b + b).\nAnswer: -56*b**3 + 56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100880 a multiple of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0 - 1\/3*h**3 - 3*h - 1\/3*h**4 + 2*h**2 + 1\/10*h**5. Determine g so that l(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2695 and 13563.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 31*r**2. Let b(x) = -20*x. Give z(b(j)).\nAnswer: 12400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aniiisiinsniiasafi. What is prob of picking 1 a, 1 i, and 2 s?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/3 - 61*u**2 + 121*u - 181\/3 = 0.\nAnswer: 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*5\/(-35))\/(5\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18260220594 divided by 6\nAnswer: -3043370099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 0*c - 3\/2*c**2 - 1. Let y(b) be the third derivative of -b**5\/12 - 16*b**2. Give y(p(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 12. Let u be d(12). Let y(v) = v**2 + v + 9. What are the prime factors of y(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k - 232. What is the lowest common multiple of o(-13) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1063*r - 4531. Is 11 a factor of t(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 + -4 + 2. Suppose -2*x - 3*x = j. Solve -3*l + 4*l = x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 98244.13 nanometers?\nAnswer: 98.24413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-4 - (-132)\/30)\/((-4)\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2557.5 and -0.04.\nAnswer: -2557.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75633, 151267, 226901?\n\"Answer: 75634*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -855 + 1527. Let m = u - 677.31. What is m rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -573, -658, -727, -774?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*-3*26*(-13)\/26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(3*w - w + 0*w) - 869*w + 2305*w + 950*w.\nAnswer: 2384*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -744*k**2. Let s(r) = 200*r. Give y(s(u)).\nAnswer: -29760000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z = g - 62*z - 235, 2*g + 4*z = 474. What is the remainder when g is divided by 71?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800668 divided by 15523?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 18869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.73 - 2.72377. What is g rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1.7727 (c) 5 (d) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/11)\/m)\/(m**(-7\/4)\/m))\/(m**(-1\/4))**(-45) assuming m is positive.\nAnswer: m**(-213\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 - (-2 + 4) - 4. Calculate the remainder when ((-2)\/(-1))\/(i\/32) + 99 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 25.93. Put n, -1\/8, 4, 0.4 in decreasing order.\nAnswer: 4, 0.4, n, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oottoootottoootoooo. What is prob of sequence to?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Suppose -q + 12 = g*q, q = 3*s. Calculate the smallest common multiple of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 644*y**2 + 7*y - 1389. Let t(l) = 324*l**2 + 4*l - 695. Let c(p) = 7*t(p) - 4*w(p). Differentiate c(z) with respect to z.\nAnswer: -616*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 6, 4 in increasing order.\nAnswer: -4, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1831391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.9, -3\/5, -0.4, -949\/4, -5 in increasing order.\nAnswer: -949\/4, -5, -3\/5, -0.4, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 128748\nAnswer: 1\/32187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11652 - 5795 + 3*l**3 - 2*l**3 + l**3 as h + x*l**3 + m*l**2 + w*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + z. Calculate n(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r - 30. Let m be d(-12). Let k be (-1)\/2 - (-483)\/m. What is the greatest common divisor of k and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396095 and 40?\nAnswer: 3168760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288*j - 1287*j - 4*d - 11 = 0, 0*j - 15 = j + 16*d - 86 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - (-8 - -12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 - 121. Suppose -3*j = 2*x - 286, 5*x + 3*j - v = 621. List the prime factors of x.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2865 + -12.5645. Let v = -1.021 - b. Round v to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 77 + 32 = -4*n, -2*n - r = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94554*s**2 - 139363.\nAnswer: -189108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*v - 44. Suppose -j + 4*j + 9 = 0. Let p = j - v. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -17, -27, -39, -53?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4924799 is divided by 400.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 79*u - 208. What is a(-23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 128. Let n(v) = 2*v**2 - 6*v - 7. What is n(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + z**3 - z**3 + z**3 + 86 - 149 + 109.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - a = -1653, -1373 = -4*h + a + 270. List the prime factors of h.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12026654 and 49979?\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55133 by -10.\nAnswer: -55133\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1008)*-2 - (4 + 1 + sqrt(1008)))**2 + (sqrt(1008) - (0 + sqrt(1008)) - sqrt(1008))*-3 + ((sqrt(1008)*-1)**2 - sqrt(1008))*-2.\nAnswer: -540*sqrt(7) + 23209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -152. Factor 4\/3 - 10\/3*z**3 - 14\/3*z + 2\/3*z**4 + b*z**2.\nAnswer: 2*(z - 2)*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-6\/11))\/d*d*d\/d**(1\/2)*d)\/(d**4*d**(4\/9)))\/((d**7*d)\/(d**8\/d))**(-18) assuming d is positive.\nAnswer: d**(3071\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 447.86?\nAnswer: -448.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 1 (c) -3\/4 (d) 158 (e) 27 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -900.2 - -342.9. Round s to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7480.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23605979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*u = -8*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*m + 181*m = 224. Let f = 11 + -7. Suppose -2*s - f*p = 38 - 132, s - 5*p - 47 = 0. Calculate the remainder when s is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0*y**2 + 3*y + 7*y - 6 - 2*y**2. Let c be i(6). Let s = c - -20. Solve 1 = -m + s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -365 * 23128.\nAnswer: -8441720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*l**3 + 15127 + 15127 - 30254 - 11*l**2.\nAnswer: 867*l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*y - 5*h, 3 - 9 = -2*h. Let n be 520\/15*45\/y. What is the highest common factor of 40 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 + 5*i**2 - 4*i - 3. Let j be x(-10). Let s = 3 + j. Let o(q) = -q**2 - 2*q - 1. Determine o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1271*k**5 - 2*k**2 + 205.\nAnswer: -76260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 - o**4\/12 + o**2 + 2*o. Suppose -5*v = -4*b + 131, -v + 4*v - 15 = 0. Suppose b*j = 47*j. Calculate m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 2 - 20*z**2 + 9*z**2 in the form d + g*z**2 + n*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -80*o**2 + 724*o - 20. Let s be k(9). Solve 4*i - 4*j = 0, 5*j = 2*i - i + s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (0 - 9 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1806 + 1889 + (-1081)\/13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4995 is divided by 257?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19201 + -1885.07?\nAnswer: -21086.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211894703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 35805.\nAnswer: 71610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/45 - 1*(-12)\/8*82144\/1020\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w + 90. Let t = 89\/5 + w. Which is the second biggest value? (a) t (b) 2 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/11 (b) -2\/7 (c) -2973.32 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 9. Let q(h) = -h. Let p be q(8). Let v be u(p). Let n be 4\/14*v\/(-2). What is the closest to 2 in -0.2, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*y + 668 = 0, -219*a - 5*y = -224*a + 1730. What is the remainder when a is divided by 328?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/2 - 63189*d**2 + 126377*d\/2 = 0.\nAnswer: 0, 1, 126377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/(1\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629044 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -10 (c) 1087485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 11 + 9. Let v be 12\/o*(-2 + -3). Solve 0*k + v = 3*k + 4*w, 9 = 5*k + 3*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2372, -2373, -2374, -2375?\nAnswer: -2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 = 2*w - 6*w, 41 = 2*v - 3*w. Calculate the highest common divisor of v and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5 = 4820*n - 4819*n, -n + 5 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -495*s*u**3 + 95541*s*u**2 - 2570*u**3 - 6*u**2 + u wrt u?\nAnswer: -2970*s - 15420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 746176737 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 100\/11, -1\/3, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-30)*2\/16*-4*12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = t. Is 1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3152050*j**6 + 7*j**3 + 37233484*j**2.\nAnswer: 378246000*j**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11674\/11 - 70117\/66. Calculate the common denominator of 127\/66 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 6*w + 77. Let d = -2\/2601 - 92765\/5202. Calculate the common denominator of d and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*w + 632*w - 1940 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58ddda7 - -14?\nAnswer: -58ddd93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 688, 1377, 2066, 2755, 3444?\n\"Answer: 689*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - -1) + 1 + (4931 - 4890).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**33)**(-4\/5)*(k**1\/k)**47 assuming k is positive.\nAnswer: k**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiifnj. What is prob of sequence fn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/12*(-6)\/(-4). Suppose -p*s = -0*s - 5. Solve 5*a + s = -4*o - 18, 4*a + 14 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2484)\/138)\/(1*8).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*p + 103 - 220 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 6:16 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152171490 to the power of 1\/2, to the nearest integer?\nAnswer: 12336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 47344 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 23 - 5 = -d, 0 = 4*d. Let s(p) = -p**3 - 5*p**2 + 6*p - 2. Let f be s(-6). Let n be b\/(-1 + -2) - f. Is 5 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/27)\/(44\/(-198)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 17*g = -91*g - 1161 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 19*b**3 + 3*b - 6*b**2 - 17*b**3 + 0*b + 17. Is 13 a factor of x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 2*g + 97 - 115, 3*m = -3*g - 27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202004*h**4 + 4*h**3 - 603*h - 2594?\nAnswer: 2424048*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o - 142. Determine p(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 7*w + 2*w)*(155*w**3 + 138*w**3 - 234*w**3) + (0*w - w + 4*w)*(0 - 2*w**2 + 0)*(2 - w - 2) to l*w**2 + t*w**4 + f + j*w**3 + p*w and give t.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - ((-12987 - -6) + -11)?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3275937 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*q**5*x - 18*q**4*x**3 - 6*q**2*x**3 - 62*q**2*x + 2*x**3 wrt q?\nAnswer: 3540*q**2*x - 432*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1935, 1661, 1377, 1077, 755, 405?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + v = 5*v + 1, 0 = 2*g + 4*v - 34. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - 68. Let y be -1 - (z\/4)\/(-2). Which is the third smallest value? (a) -2 (b) y (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 45, -4\/3, -1, 2\/7, 0.65, -1\/3, 13\/2?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Suppose 2*h + 7 + 3 = 2*c, -4*h - 12 = 0. Let j(p) = 9*p**2 + 6*p**2 - 14*p**c. Calculate j(s(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(10)\/sqrt(2)*3)**2 + sqrt(5) + (sqrt(20) - sqrt(5))*6 + sqrt(5).\nAnswer: 8*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 9*u + 84. Sort 2, 10, -2, u, -4 in descending order.\nAnswer: 10, 2, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 151020 and 20136.\nAnswer: 302040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8\/7, 0.1, -4, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -29 + 1\/2*k**3 + 0*k**2 + k. Let z(r) = 4*r - 1. Give z(t(f)).\nAnswer: 12*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 less than or equal to 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62350646*o + 82379356?\nAnswer: 62350646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 88876 divided by 22219\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 300428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4))**(-2\/29)\/((b\/b**(1\/35))\/b**11) assuming b is positive.\nAnswer: b**(20463\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 6*i - 16. Suppose i*d = 9*d - 15. Solve -5*m - d = -5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45266 and 4849.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.4 + -1.2. Let l = q + -6.16. Sort -2, l, -0.1.\nAnswer: -2, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -39. What is the units digit of (-5 - (y - -196))*(-3 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/27 - 111573\/3969.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + c**2 + c - 1. Let p(s) be the third derivative of -s**6\/120 + s**5\/60 + s**4\/24 - s**3\/6 - 76*s**2. Determine p(v) - r(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.346228 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g = -19*g - 362 - 128 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3431 and 209013089?\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*x - 6 = 0, -2*u - u + 26 = -2*x. Let w(j) = -j + u - 6. Let z(i) = 2*i**2. Give w(z(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 53\/(-17) + 4*(-30)\/(-40). Sort 5, 3\/4, -3\/10, o in descending order.\nAnswer: 5, 3\/4, o, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020985286.\nAnswer: 2, 17, 30028979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*o = -6*o + 43, 141 = 3*h + 3*o. Let p = -50 + h. What is the highest common divisor of 3 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/7 - 64*c**2 + 5566*c\/7 - 16880\/7 = 0.\nAnswer: 5, 8, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*a + 25 = -3*a, -15 = -3*s + 4*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 12*q + 0*q + 18*q - 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 11:17 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014201475 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-840)\/(-98) + -8)\/(6\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) - 4*sqrt(76)))\/(sqrt(4)*3*-3).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 6454034?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -27.54. Let g = q + -0.04. What is the nearest to -2 in g, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3368 + 3366. Sort -2\/21, 1, s, 1\/8, 0.2.\nAnswer: s, -2\/21, 1\/8, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100333 (base 6) to base 7.\nAnswer: 32022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 10*a - 70*a + 3740 = 20*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2701877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f - 10. Let q(h) = -h - 1. Let g(d) = -10*q(d) + y(d). Let s(u) = -5*u. Let w(c) = -4*c. Let j(n) = 5*s(n) - 6*w(n). Give j(g(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(6\/5)\/g*g*g**(-7)*g*(g*g\/(g*g**(-1\/4)*g))**(-10\/9)*((g**0\/g)\/g)\/(g*g\/(g**(1\/3)\/g))*g**5*g**(-1\/9)*g assuming g is positive.\nAnswer: g**(-257\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 2, r: 2, c: 1, o: 1, z: 1}. What is prob of sequence zck?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1940704, -3881573, -5822442, -7763311, -9704180?\nAnswer: -11645049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Let g be (-52)\/(-806) - 50\/(-186). Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12865 - 12900 + 0*l**2 - 8*l**2 to the form s*l + a*l**2 + c and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 47*c**3 + 11*c**2 + 9*c - 14. Let x(n) = -16*n**3 - 4*n**2 - 3*n + 5. Give 4*d(a) + 11*x(a).\nAnswer: 12*a**3 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100330 - -1?\nAnswer: 100331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 3*h + 1. Let u = -43 + 41. Give b(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-44) + (-77105)\/(-55) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497 * -10\nAnswer: -4970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2 + 41\/21) - (19943\/343 + -138)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/7 + 3898*n\/7 - 7804\/7 = 0?\nAnswer: -1951, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7981416 milliseconds in hours?\nAnswer: 0.000000221706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50012 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 17, -2\/3, -4.61.\nAnswer: -4.61, -2\/3, 0.12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.2932 times 4456\nAnswer: -14674.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g + 9*g + 605 - 605. Let n be (1 - 1)\/(2 + 0). Let w(p) = n*p + p + 0*p. Give i(w(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -175*x - 2515. Let a(l) = -3*l. Give a(j(g)).\nAnswer: 525*g + 7545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58815, -475945, -1608147, -3812955, -7447903, -12870525, -20438355, -30508927?\n\"Answer: -59589*y**3 - 2*y**2 - y + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3662967, 29303725, 98900073, 234429807, 457870723, 791200617, 1256397285, 1875438523?\nAnswer: 2670302127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 6780885.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2125 and 14110?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -15, 7, 49, 117, 217?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 + 8*b**2 + 5*b + 15. Suppose 2*h - 3*m = -3*h - 42, 4*h + 5*m + 4 = 0. Let s be u(h). Let q = -358 + s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/343)\/(598\/(-14651))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s**3 - 6*s + 4. Let n(j) = -57*j**3 + 17*j - 11. What is -17*m(h) - 6*n(h)?\nAnswer: 19*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16*1135\/320 + 6\/(-8) and 1184.\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.2. Let o = p + -0.8. What is the second biggest value in -2, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:15 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2727*q + 32732. Give i(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d - 5. Let n be b(-2). Suppose -9 = 2*a + 4*q - 299, n*q = 5*a - 725. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-2)\/(-82))\/((-63)\/(-126)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 1. Let g be (0\/91)\/(1\/(-1)). Which is the fourth smallest value? (a) 2 (b) g (c) w (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-10 - (-24 - -15)) + 5305*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-90)\/8) - (-1)\/(-18). What is the nearest to s in 1.9, -5, -3?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 - -10 - (-1 + 54\/(-15)). Put -3, 6, u, -2 in increasing order.\nAnswer: -3, -2, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306) + sqrt(306)*1)\/sqrt(6))\/sqrt(3)*2.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. What is the first derivative of -5*u - u + 6*u - h + u**2 wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) - 306\/81. Sort 3, 2, r in increasing order.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23751 times 16\nAnswer: 3.80016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/886 + -225\/443. What is the nearest to s in -7\/3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198578130 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 6\/13, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 969, 4, 0 in decreasing order.\nAnswer: 969, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 + 2*c**3 - 3*c**3 - c**4 - c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -546 and -4.\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2*q - 5. Let v be f(4). Suppose 0*g = g + 5*i - 55, 5*g = v*i + 135. Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27 + 37*o**2 + 3 + 16 - 2*o - 12 wrt o?\nAnswer: 74*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10)*1*10. Suppose 0*j - d*j = -4. What is the remainder when 39 is divided by 3*(9 + j + -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - 2*j**3 + 2*j**3 + (-j - 2*j + 5*j)*(0*j**2 + 2*j**2 + j**2) + j**3 + 2*j**3 - j**3 - 4*j**3 + 2*j**3 + 4*j**3 - 4*j**3 + 2*j**3 + j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -250, -485, -702, -901?\n\"Answer: 9*s**2 - 262*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/926562 and 61\/110305?\nAnswer: 4632810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**2*r*y - 2*l**2*r + 3*l**2*y**2 + 151*l**2*y + 2*l*r*y**2 + 73*l*r - 2*l + 10*r*y wrt l?\nAnswer: 8*r*y - 4*r + 6*y**2 + 302*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vukkuuu. Give prob of picking 1 k, 1 v, and 2 u.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2837799 - -183.7\nAnswer: -2837615.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1455 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.17, 0, -0.5, 5, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -14 + -11 - (7 + (5 - -84)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}